Nemesis - New pages [en]

Load.sin

2008-01-20T17:54:26Z

Fotis: /* Examples */

The following article describes the use of the <tt>load.sin</tt> command.
This command defines a sinusoidal load.

=Syntax=
load.sin(node,dof,alpha,omega,phi)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|node || The acting node ||align="center"| integer ||align="center"|-
|-
|dof || The acting dof ||align="center"| integer ||align="center"|-
|-
|alpha || Width ||align="center"| float ||align="center"|-
|-
|omega || Frequency ||align="center"| float ||align="center"|-
|-
|phi || Angle ||align="center"| float ||align="center"|-
|}

=Examples=
Create a sinusoidal load at node '''1''' dof '''y''' with magnitude ''f(t)''=1.5sin(''πt''+''π''/2).
This should be equal to ''f(t)''=1.5cos(''πt'').
node.sin(1, 2, 1.5, 3.14159, 0.5*3.14159)

=Comments=

=See also=
*[[load]] module.
*[[lc]] module.
*[[node]] module.
*[[User guide]].

[[Category:User guide]]

Example:Example Quad4i 02

2008-01-09T14:14:10Z

Fotis:

<pre>
# /******************************************************************************
# * nemesis. an experimental finite element code. *
# * Copyright (C) 2004-2008 F.E.Karaoulanis [http://www.nemesis-project.org] *
# * *
# * This program is free software; you can redistribute it and/or modify *
# * it under the terms of the GNU General Public License version 3, as *
# * published by the Free Software Foundation. *
# * *
# * This program is distributed in the hope that it will be useful, *
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
# * GNU General Public License for more details. *
# * *
# * You should have received a copy of the GNU General Public License *
# * along with this program. If not, see <http://www.gnu.org/licenses/>. *
# ******************************************************************************/

# //*****************************************************************************
# // $LastChangedDate$
# // $LastChangedRevision$
# // $LastChangedBy$
# // $HeadURL$
# // Author(s): F.E. Karaoulanis (fkar@nemesis-project.org)
# //*****************************************************************************

# Data
nds={1:[0.0, 0.0],
2:[9.0, 0.0],
3:[8.0, 8.0],
4:[0.0, 6.0],
5:[2.5, 2.0],
6:[6.5, 1.5],
7:[5.5, 5.0],
8:[2.5, 5.0]}
ax=[ 0.0001, 0.0061, 0.0049]
ay=[-0.0005, 0.0042, 0.0038]

# domain
domain.planeStrain(1.0)

# database
name="vtk"
db.SQLite(name)

# material
material.elastic( 1, 1000., 0.25)

# nodes
for i in nds:
node.add( i, nds[i][0], nds[i][1])

# elements
element.quad4i( 1, 1, 2, 6, 5, 1)
element.quad4i( 2, 2, 3, 7, 6, 1)
element.quad4i( 3, 8, 7, 3, 4, 1)
element.quad4i( 4, 1, 5, 8, 4, 1)
element.quad4i( 5, 5, 6, 7, 8, 1)

# constraints
for i in [1,2,3,4]:
x=nds[i][0]
y=nds[i][1]
ux=ax[0]+ax[1]*x+ax[2]*y
uy=ay[0]+ay[1]*x+ay[2]*y
node.fix(i,1,ux)
node.fix(i,2,uy)

# loadcase (empty)
lc.define(1)

# analysis
analysis.static()
imposer.lagrange()
analysis.run(1,1)

# results
print '================================================='
print '| | Analytical | Numerical |'
print '+---+----------+----------+----------+----------+'
print '|id |ux |uy |ux |uy |'
print '+---+----------+----------+----------+----------+'
for i in [5,6,7,8]:
x=nds[i][0]
y=nds[i][1]
uxA=ax[0]+ax[1]*x+ax[2]*y
uyA=ay[0]+ay[1]*x+ay[2]*y
uxN=node.data(i)['disp'][0]
uyN=node.data(i)['disp'][1]
print '| %2i| % 8.6f| % 8.6f| % 8.6f| % 8.6f|'%(i,uxA,uyA,uxN,uyN)
print '================================================='

# store to database
db.store(name)
db.exportToVtk(name)
</pre>
[[Category:Examples]]

Example:Example Quad4i 01

2008-01-09T00:12:04Z

Fotis:

<pre>
# /******************************************************************************
# * nemesis. an experimental finite element code. *
# * Copyright (C) 2004-2008 F.E.Karaoulanis [http://www.nemesis-project.org] *
# * *
# * This program is free software; you can redistribute it and/or modify *
# * it under the terms of the GNU General Public License version 3, as *
# * published by the Free Software Foundation. *
# * *
# * This program is distributed in the hope that it will be useful, *
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
# * GNU General Public License for more details. *
# * *
# * You should have received a copy of the GNU General Public License *
# * along with this program. If not, see <http://www.gnu.org/licenses/>. *
# ******************************************************************************/

# //*****************************************************************************
# // $LastChangedDate$
# // $LastChangedRevision$
# // $LastChangedBy$
# // $HeadURL$
# // Author(s): F.E. Karaoulanis (fkar@nemesis-project.org)
# //*****************************************************************************

# Data
a=[0.,1.,2.,3.,4.]
u={}
# Main loop
for type in ['STD','QM6']:
u[type]=[]
disp=[]
for e in a:
# Domain
domain.planeStress(1.0)
# Material
material.elastic( 1, 1., 0.)
# Nodes
node.add( 1, 0., 0.)
node.add( 2, 5.+e, 0.)
node.add( 3, 10., 0.)
node.add( 4, 0., 2.)
node.add( 5, 5.-e, 2.)
node.add( 6, 10., 2.)
# Elements
if type=='STD':
element.quad4d( 1, 1, 2, 5, 4, 1)
element.quad4d( 2, 2, 3, 6, 5, 1)
else:
element.quad4i( 1, 1, 2, 5, 4, 1)
element.quad4i( 2, 2, 3, 6, 5, 1)
# Constraints
node.fix(1,1)
node.fix(1,2)
node.fix(4,1)
# LoadCase
lc.define(1)
load.node(3,1,+1.)
load.node(6,1,-1.)
# Analysis
analysis.static()
analysis.run(1,1)
# Get tip displacement
disp.append(node.data(6)['disp'][1])
domain.clear()
# Store displacements
u[type][:]=disp[:]

# Normalize results
u0=u['QM6'][0]
for type in ['STD','QM6']:
for i in range(len(u[type])):
u[type][i]=u[type][i]/u0

# Print results
print "==========================="
print "|alpha |STD |QM6 |"
print "+------+---------+--------+"
for i in range(len(a)):
print '|% 5.2f| % 8.4f| % 8.4f|'%(a[i],u['STD'][i],u['QM6'][i])
print "==========================="

# Plot results using matplotlib
from pylab import *
plot(a,u['STD'],'b-o',linewidth=1.0,label="QM6")
plot(a,u['QM6'],'k-o',linewidth=1.0,label="Standard")
xlabel('alpha')
ylabel('u/u0')
title('Mesh distortion test.')
ylim([0.,1.])
grid(True)
legend(loc='upper right')
show()
</pre>
[[Category:Examples]]

Element.quad4i

2008-01-09T00:09:16Z

Fotis: /* Mesh distortion test */

The following article describes the use of the <tt>element.quad4i</tt> command.
This command defines a four-node non-conforming quad based on the work of R.L. Taylor, P.J Beresford & E.L. Wilson<ref>R.L. Taylor, P.J Beresford and E.L. Wilson, ''"A non-conforming element for stress analysis"'', International Journal for Numerical Methods in Engineering, Vol. 10, pp.1211-1219 (1976)</ref>.

=Syntax=
element.quad4i(id,node1,node2,node3,node4,mat)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|node1-4|| The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|}

=Examples=
==Mesh distortion test==
[[Image:Example_Quad4i_01.png|thumb|350px|Mesh distortion test.]]
The example code can be found [[Example:Example_Quad4i_01|here]].
 
===========================
|alpha|STD |QM6 |
+-----+---------+---------+
| 0.00| 0.2424| 1.0000|
| 1.00| 0.1274| 0.6174|
| 2.00| 0.0846| 0.5337|
| 3.00| 0.0703| 0.5271|
| 4.00| 0.0597| 0.5044|
===========================

==Patch Test==
[[Image:Example_Quad4i_02.png|thumb|350px|Patch test.]]
A typical patch test. The outer nodes are ordered anti-clockwise as '''1'''(0.0, 0.0), '''2'''(9.0, 0.0), '''3'''(8.0, 8.0) and '''4'''(0.0, 6.0) while the inner nodes are arranged similarly as '''5'''(2.5, 2.0), '''6'''(6.5, 1.5), '''7'''(5.5, 5.0) and '''8'''(2.5, 5.0). A displacement field is given in the outer nodes defined by ux=0.0001+0.0061''x''+0.0049''y'' and uy=-0.0005+0.0042''x''+0.0038''y'', where ''x'' and ''y'' are the nodal coordinates. The calculated displacements in the inner nodes must coincide with the previous defined displacement field.

The displacement field (displacement vector magnitude) is plotted in the picture on the left, while the results are shown in the next table.

The example code can be found [[Example:Example_Quad4i_02|here]].
 
=================================================
| | Analytical | Numerical |
+---+----------+----------+----------+----------+
|id |ux |uy |ux |uy |
+---+----------+----------+----------+----------+
| 5| 0.025150| 0.017600| 0.025150| 0.017600|
| 6| 0.047100| 0.032500| 0.047100| 0.032500|
| 7| 0.058150| 0.041600| 0.058150| 0.041600|
| 8| 0.039850| 0.029000| 0.039850| 0.029000|
=================================================

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined. This element can be only used in plane strain/stress analysis.

=Theory=
 

=Implementation=
The implementation of this element follows closely the work of T.J.R. Hughes<ref>T.J.R. Hughes, ''"The Finite Element Method: Linear Static and Dynamic Finite Element Analysis"''', Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1997, pp.243-248.</ref>.

=Notes=
<references/>

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Wrench.slv

2007-07-08T16:01:02Z

Fotis:

<pre>
from extras.mesh import trigen

# domain
domain.planeStress(1.)
domain.gravity(0,-1,0)
db.SQLite("bench")

# materials
material.elastic(1,200e3,0.33,0.)

# mesh
trigen.file='wrench'
trigen.info=1
trigen.iDxf()
trigen.mesh(2,20.)

# loadcase
lc.define(1)
trigen.lineLoad(1,2,2,-2.,-2.)

# analysis
analysis.static()
reorder.rCM()
soe.band()
analysis.run(1,1)

#results
print "uy = ",node.data(1)['disp'][1]
db.store("wrench")
db.exportToVtk("wrench")
</pre>

[[Category:Input Files]]

Wrench.dxf

2007-07-08T16:00:07Z

Fotis:

<pre>
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280
0
1
1
0
DICTIONARYVAR
5
E6
102
{ACAD_REACTORS
330
5E
102
}
330
5E
100
DictionaryVariables
280
0
1

0
DICTIONARY
5
99B
330
D3
100
AcDbDictionary
280
1
281
1
3
ACAD_XREC_ROUNDTRIP
360
99C
0
DICTIONARY
5
99D
330
D7
100
AcDbDictionary
280
1
281
1
3
ACAD_XREC_ROUNDTRIP
360
99E
0
DICTIONARY
5
999
330
22
100
AcDbDictionary
280
1
281
1
3
ACAD_XREC_ROUNDTRIP
360
99A
0
XRECORD
5
99C
102
{ACAD_REACTORS
330
99B
102
}
330
99B
100
AcDbXrecord
280
1
102
SHADEPLOT
70
0
102
SHADEPLOTRESLEVEL
70
2
102
SHADEPLOTCUSTOMDPI
70
300
0
XRECORD
5
99E
102
{ACAD_REACTORS
330
99D
102
}
330
99D
100
AcDbXrecord
280
1
102
SHADEPLOT
70
0
102
SHADEPLOTRESLEVEL
70
2
102
SHADEPLOTCUSTOMDPI
70
300
0
XRECORD
5
99A
102
{ACAD_REACTORS
330
999
102
}
330
999
100
AcDbXrecord
280
1
102
SHADEPLOT
70
0
102
SHADEPLOTRESLEVEL
70
2
102
SHADEPLOTCUSTOMDPI
70
300
0
ENDSEC
0
EOF
</pre>

[[Category:Input Files]]

Running using AutoCad, SciTe and Paraview

2007-07-08T15:52:33Z

Fotis: /* Preprocessing */

== Preprocessing ==

Use [http://www.autodesk.com/autocad AutodeskTM AutoCad®], and the supplied ''nemesis'' toolbar (nemesis.cui) and dxf template (template.dxf) to create the model's geometry and assign materials and boundary conditions. Export the model as [http://www.autodesk.com/techpubs/autocad/acad2000/dxf/ *.dxf] file. (You can of course use any other program to produce the appropriate dxf file).

[[image:wrench01.png|left|thumb|960px|Preprocessing using [http://www.autodesk.com/autocad AutodeskTM AutoCad®.] ''(Click on image to enlarge.)'']]
 

== Solving ==
Import the *.dxf file and define analysis options using [http://www.scintilla.org/SciTE.html SciTe]. Any text editor can be used but you may want to take advantage of predefined properties for SciTe (syntax highlighting, auto-completion, help as you type, error handling etc), distributed with the ''nemesis'' source and binary files.

[[image:wrench02.png|left|thumb|431px|Solving using [http://www.scintilla.org/SciTE.html SciTe]. ''(Click on image to enlarge.)'']]
 

== Post processing ==
Finally you may either inspect the [http://www.w3schools.com/sql/default.asp sql] compliant database produced using [http://www.sqlite.org/ SQLite] or you can use any visualization application, to view the [http://www.vtk.org/ vtk] files (here [http://www.paraview.org ParaView] is used).

[[image:wrench03.png|left|thumb|960px|Viewing the results using [http://www.paraview.org/ ParaView]. ''(Click on image to enlarge.)'']]
 

== Files used ==
* [[wrench.dxf]]
* [[wrench.slv]]
* wrench.vtk (Quite large to be attached.)

[[Category:Use]]

Material.sdof

2007-06-27T19:49:36Z

Fotis:

<pre>
# Set domain's dimension
domain.dim(1)

# Add nodes
node.add(1,0.)
node.add(2,2.)

# Add materials/sections
material.uniElastic(1, 1.,0.)
section.rect(1, 1.,1.)
material.sdof(2, 1.,1.)

# Add element
element.bar2s(1, 1,2,1,1)
element.sdof(2,2,1,2)

# Fix node 1, dof 1
node.fix(1,1)

# Define loadcase
lc.define(1)
load.node(2,1,1.)

# Run analysis
analysis.static()
analysis.run(1,1)

# Print results (x-displacements on node 2)
print node.data(2)["disp"][0]
</pre>

[[Category:User guide]]

Changelog

2007-06-24T15:25:12Z

Fotis: Version 0.9.07

==Version : 0.9.07==
*Released : 15.08.07
*Added files : 18
*Modified files : 402
*Removed files : 2
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 160||Updated license to GPLv3.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 159||Updated license to GPLv3.||align="right"| 0||align="right"| 261||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 158||Minor changes in viscoplastic modeling.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 157||xFem [experimental]. Definition of XFem analysis and XFem 3-noded triangle.||align="right"| 2||align="right"| 9||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 156||xFem [experimental]. Definition of a simple crack.||align="right"| 3||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 155||Viscoplasticity re-implementation.||align="right"| 1||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 154||Removed time from LoadCase and moved it in StaticControl for use in viscoplasticity.||align="right"| 0||align="right"| 15||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 153||Minor changes to DuncanChang material.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 152||nemesis now compiles and links with mingw gcc 4.2.1-dw.||align="right"| 0||align="right"| 7||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 151||Initial import of Duncan-Chang hyperbolic model.||align="right"| 2||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 150||Initial import of Lade-Duncan material. Changes in the Drucker-Prager material.||align="right"| 4||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 149||Changes in the Drucker-Prager material.||align="right"| 0||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 148||Minor updates.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 147||Changes in the Drucker-Prager material. nemesis now builds with mingw 3.4.2.||align="right"| 0||align="right"| 21||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 146||Updated equivalent plastic strain.||align="right"| 0||align="right"| 7||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 145||Replaced stress internal variable q with strain internal variable a.||align="right"| 0||align="right"| 13||align="right"| 2||Fotios.Karaoulanis
|-
|align="right"| 144||Renamed LinearEquivalent.[cpp|h] to LinearEquivalentEL.[cpp|h].||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 143||Initial import of Evolution Laws.||align="right"| 4||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 142||Updated multiaxial elastic material.||align="right"| 0||align="right"| 7||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 141||Updates in the single surface return mapping. Works correctly now.||align="right"| 0||align="right"| 17||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 140||Minor changes and code clean up.||align="right"| 0||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 139||Updates in the VonMises material.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 138||Updates in return mapping algorithm. Updated nemesis.api.||align="right"| 0||align="right"| 8||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 137||Minor changes in MultiaxialElastoPlastic.cpp and VM.cpp. Updated documentation in configure.py.||align="right"| 0||align="right"| 5||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 136||Saved changes to CHANGELOG.txt.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.06==
*Released : 31.07.07
*Added files : 26
*Modified files : 116
*Removed files : 2
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 134||Minor changes. Tag 0.9.06 created.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 133||Changed typo in ModifiedCamClay.cpp.||align="right"| 1||align="right"| 1||align="right"| 1||Fotios.Karaoulanis
|-
|align="right"| 132||First implementation of isotropic hardening in Von-Mises material. Minor updates to configure.py.||align="right"| 0||align="right"| 13||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 131||Removed shadowed declarations.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 130||Updated return map algorithm. Implemented flow vectors in Cam-Clay. Updated build.win32.bat. Compiles again without error with mingw 3.4.2.||align="right"| 0||align="right"| 8||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 129||Added ePTrial where it was needed.||align="right"| 0||align="right"| 14||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 128||Added ePTrial where it was needed.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 127||Fixed p deviatoric in Vector.h.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 126||Updated configure.py. Initial import of a batch file for building in win32. Added obj directory (empty, needed for *.o files).||align="right"| 2||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 125||Changed footer.html info (doxygen documentation).||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 124||Included Cam-Clay Material to Parser.||align="right"| 1||align="right"| 14||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 123||Added 1d material sample.||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 122||Added Modified Cam-Clay Material.||align="right"| 2||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 121||Work on Modified Cam-Clay surface. Minor changes in Vector.h.||align="right"| 0||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 120||Initial import of Modified Cam-Clay surface.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 119||Imported material examples.||align="right"| 4||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 118||Minor modifications to doxyfile.dat.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 117||Introduced non-associative hardening in single yield surface return mapping.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 116||Updated doxygen documentation.||align="right"| 1||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 115||Implemented p (hydrostatic) and q (deviatoric) invariants.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 114||Initial import of configure.py (works quite well with mingw).||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 113||Updated MultiSurface plasticity (almost finished plain multi-surface).||align="right"| 0||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 112||Updated MultiSurface plasticity (not finished yet).||align="right"| 0||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 111||Updated Drucker Prager material. Introduced DruckerPrager() command into the Parser.||align="right"| 0||align="right"| 11||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 110||Initial import of Drucker-Prager material. Updated commit in Static Analysis.||align="right"| 6||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 109||Work in MultiaxialElastoPlastic materials. Fixed a bug in Matrix.h.||align="right"| 0||align="right"| 7||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 108||Updated license files and nemesis Win32 installer.||align="right"| 4||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 107||Added Tracker to UniaxialElastoPlastic Material. Renamed sample.dxf to nemesis.dxf.||align="right"| 1||align="right"| 5||align="right"| 1||Fotios.Karaoulanis
|-
|align="right"| 106||Minor changes and documentation updates.||align="right"| 0||align="right"| 11||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.05==
*Released : 11.07.07
*Added files : 15
*Modified files : 119
*Removed files : 7
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 104||Changed version to 0.9.5.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 103||Minor fixes. Now compiles with no warnings with mingw gcc 3.4.2.||align="right"| 0||align="right"| 10||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 102||Added elemental tracker.||align="right"| 0||align="right"| 10||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 101||Removed previous Trackers. Introduced new Tracker. Added to Node.||align="right"| 0||align="right"| 11||align="right"| 4||Fotios.Karaoulanis
|-
|align="right"| 100||Nodal/Elemental Tracker initial import.||align="right"| 4||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 99||Minor changes.||align="right"| 0||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 98||Added virtual destructor to FEObject.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 97||Updated doxyfile.dat. Built documentation.||align="right"| 1||align="right"| 0||align="right"| 1||Fotios.Karaoulanis
|-
|align="right"| 96||Changed coordinate names to x,y,z and r,s,t,w in MatPoint.||align="right"| 0||align="right"| 8||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 95||Added label and consistentTags in FEObject.||align="right"| 0||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 94||Imported plane stress material.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 93||minor modifications in material.sdof.slv.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 92||Added SDofMAterial. SDofElement reimplemented.||align="right"| 3||align="right"| 8||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 91||Removed myMatID from Elements.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 90||Added CHANGELOG.txt.||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 89||Added domain.state command/example.||align="right"| 2||align="right"| 5||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 88||Updated gravity functionality.||align="right"| 0||align="right"| 4||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 87||Replaced SolverException by SException.||align="right"| 0||align="right"| 29||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 86||Replaced SolverException by SException.||align="right"| 2||align="right"| 0||align="right"| 2||Fotios.Karaoulanis
|-
|align="right"| 85||Reduced tab/indent size to 4 in SciTe.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 84||Updated to sqlite 3.40. Ignored standard library libcd.lib.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 83||Updated to Scite 1.74||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 82||Moved Python.h inclusion at the beginning.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 81||Added endline in the end of file (gcc warning).||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 80||Added endline in the end of file (gcc warning).||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 79||Initialized two member boolean variables.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 78||Fixed bug caused by non-initialization of theSize.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 77||Minor modifications.||align="right"| 0||align="right"| 3||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 76||Replaced old trigen.py by a new one.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 75||Last commit before replaced trigen.py by new.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 74||Exclude beams from contributing to nodal stress vector.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 73||Updated license info.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 72||Updated to Boost-1.34.0/SQLite-3.3.17. Removed PETSc/MPI.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.04==
*Released : 31.05.07
*Added files : 9
*Modified files : 32
*Removed files : 0
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 70||Tag 0.9.04 created.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 69||Increased facK to 10e-12.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 68||Minor changes.||align="right"| 0||align="right"| 0||align="right"| 3||Fotios.Karaoulanis
|-
|align="right"| 67||Added free_table that caused a memory leak.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 66||Added xG,yG in Triangle6.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 65||Added *.txt extension in README/LISENCE files.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 64||Initial commit of vs 2003 solution files.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 63||Minor improvements.||align="right"| 1||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 62||Removed mpich2.lib.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 61||Minor changes.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 60||Output window below in SciTe.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 59||Let groups be defined by material ids.||align="right"| 0||align="right"| 20||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 58||Minor enhancements.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 57||Updated README.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 56||Minor enhancements.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 55||Imported SciTe files.||align="right"| 4||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.03==
*Released : 29.05.07
*Added files : 2
*Modified files : 14
*Removed files : 0
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 53||Minor changes.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 52||Included beam2t/beam3t.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 51||Updated version to 0.9.03.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 50||Minor enhancements.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 49||Updated import from dxf.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 48||Changed introduction info and updated to v.0.9.02.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 47||Added Timoshenko.h. Timoshenko.cpp.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 46||Minor changes in Timoshenko2d.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 45||Added element.beam3t command.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 44||Added Timoshenko tag.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 43||Initial implementation of 2d, 2/3-node Timoshenko beam.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.02==
*Released : 17.05.07
*Added files : 7
*Modified files : 16
*Removed files : 0
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 41||ADD: Initial import of nemesis.cui/nsi files.||align="right"| 3||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 40||Updated importDxf command.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 39||Added a python script interface to Triangle Mesh Generator.||align="right"| 3||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 38||Changed typo (plane stress/strain). Added plane stress.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 37||Added plane stress material.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 36||Changed typo (plane strain/stress).||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 35||Implemented stress recovery.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 34||Added NEWS file.||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 33||Minor modifications in Trangle6.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 32||Added support for Triangle6.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 31||Added one more constructor for MatPoint.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 30||Changes in stiffness Matrix.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 29||Added Triangle6 tag.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 28||Re-Implemented getDispIncrm().||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 27||Added Triangle6 command.||align="right"| 0||align="right"| 2||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.01==
*Released : 09.05.07
*Added files : 2
*Modified files : 2
*Removed files : 0
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 25||Minor modifications.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 24||Added quadratic triangle.||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 23||Minor modifications in main.cpp.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|}

==Version : 0.9.00==
*Released : 05.04.07
*Added files : 292
*Modified files : 3
*Removed files : 1
*Comments : None.

{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="30"|Rev.
!width="400"|Message
!width="20"|Add.
!width="20"|Mod.
!width="20"|Rem.
!width="150"|Author
|-
|align="right"| 21||Initial import (doxygen documentation).||align="right"| 2||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 20||Updated version to 0.9.01.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 17||Changed version to 0.9.00||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 16||Clean up. Removed acml.||align="right"| 0||align="right"| 1||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 15||Initial import (dat files).||align="right"| 18||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 14||Initial import.||align="right"| 3||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 13||Created folder remotely||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 12||Created folder remotely.||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 11||Initial import.||align="right"| 1||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 10||Removed file/folder.||align="right"| 0||align="right"| 0||align="right"| 1||Fotios.Karaoulanis
|-
|align="right"| 9||Initial import.||align="right"| 263||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|-
|align="right"| 1||Initial directory structure.||align="right"| 3||align="right"| 0||align="right"| 0||Fotios.Karaoulanis
|}

==Previous Versions==

[[Category:Changelog]]

Element.beam3t

2007-05-28T22:53:16Z

Fotis: /* Syntax */

The following article describes the use of the <tt>element.beam3t</tt> command.
This command defines a quadratic, three-node elastic Timoshenko beam element.

=Syntax=
element.beam2t(id,node1,node2,node3,mat,sec,rule)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|node1-3|| The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|-
|sec || The element [[section]] ||align="center"| integer ||align="center"|-
|-
|rule || The integration rule ||align="center"| integer ||align="center"|2
|}

=Examples=
[[Image:Timoshenko_Example.png|thumb|350px|Shear locking effects in Timoshenko beam.]]
Cantilever beam example, motivated by <ref>O.C. Zienkiewicz & R.L. Taylor, ''"The Finite Element Method for Solids and Structural Mechanics"'', 6th Edition, p307</ref>, demonstrating shear locking effects. Twenty elements are used for different span L to depth h ratios for a rectangular cross-section. The beams used are the Bernulli-Euler, a 2-node full integration (2 points) Timoshenko beam, a 2-node reduced integration (1 point) Timoshenko beam, a 3-node full integration (3 points) Timoshenko beam and a 3-node reduced integration (2 points) Timoshenko beam. The use of exact integration for the second one, leads to a solution which 'locks' as the beam becomes slender, whereas the reduced integration scheme shows no locking for the range plotted. The results are also given in the following table, where the example can be found [[Example:Timoshenko_Locking|here]].

 

=====================================================
|Ratio |Tip Displacement (normalized) |
-----------------------------------------------------
| | EULER |TIM2F | TIM2R | TIM3F | TIM3R |
=====================================================
| 2.000| 1.0000 1.2349 1.2390 1.2400 1.2400 |
| 3.000| 1.0000 1.0964 1.1057 1.1067 1.1067 |
| 4.000| 1.0000 1.0426 1.0590 1.0600 1.0600 |
| 5.000| 1.0000 1.0120 1.0374 1.0384 1.0384 |
| 10.000| 1.0000 0.9144 1.0086 1.0096 1.0096 |
| 20.000| 1.0000 0.7076 1.0014 1.0023 1.0023 |
| 50.000| 1.0000 0.2776 0.9994 1.0000 1.0000 |
| 100.000| 1.0000 0.0876 0.9991 0.9994 0.9994 |
| 500.000| 1.0000 0.0038 0.9990 0.9990 0.9990 |
| 1000.000| 1.0000 0.0010 0.9990 0.9990 0.9990 |
=====================================================

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined. The middle node, namely node 3, should be in the middle of the element. This beam is a straight one.

=Theory=
[[Image:Timoshenko_Kinematics.png|thumb|300px|Beam deformation including shear effect.]]
The kinematic assumptions are those shown in the figure on the right.
 

=Implementation=

The element length and directional cosines are given as:
<pre>
L=sqrt((y2-y1)*(y2-y1)+(x2-x1)*(x2-x1));
c=(x2-x1)/L;
s=(y2-y1)/L;
</pre>

==Stiffness Matrix K==
The stiffness matrix K in global coordinates is given as:
<pre>
for k in GaussPoints:
xi=GaussPoints(k).xi
dx=GaussPoints(k).weight*0.5*L
for i=0..3:
for j=0..3:
Ni,dNi=shapeFunctions(i,xi)
Nj,dNj=shapeFunctions(j,xi)
K(3*i+0,3*j+0)+=(dNi*dNj*(C1*c*c+C3-c*c*C3) )*dx
K(3*i+0,3*j+1)+=(c*dNi*dNj*s*(-C3+C1) )*dx
K(3*i+0,3*j+2)+=(s*dNi*C3*Nj )*dx
K(3*i+1,3*j+0)+=(c*dNi*dNj*s*(-C3+C1) )*dx
K(3*i+1,3*j+1)+=(-dNi*dNj*(-c*c*C3-C1+C1*c*c))*dx
K(3*i+1,3*j+2)+=(-c*dNi*C3*Nj )*dx
K(3*i+2,3*j+0)+=(Ni*C3*dNj*s )*dx
K(3*i+2,3*j+1)+=(-Ni*C3*dNj*c )*dx
K(3*i+2,3*j+2)+=(dNi*C2*dNj+Ni*C3*Nj )*dx
</pre>
where,
<pre>
C1=E*A
C2=E*J
C3=a*G*A
</pre>

==Residual vector R==
The residual vector in global coordinates is given as:
R = facS*Fint - facG*Fgravity - facP*Fext
where <tt>facS</tt>, <tt>facG</tt> and <tt>facP</tt>, factors controlled by [[group.state]].
In local coordinates it yields,
<pre>
for k in GaussPoints:
xi=GaussPoints(k).xi
dx=GaussPoints(k).weight*0.5*L
for i=0..3:
Ni,dNi=shapeFunctions(i,xi)
R[3*i+0]+=facS*((dNi*sigma[0]) )*dx
R[3*i+1]+=facS*((dNi*sigma[2]) )*dx
R[3*i+2]+=facS*((dNi*sigma[1]-Ni*sigma[2]))*dx

R[0]-=facG*(0.5*b[0]*L)
R[1]-=facG*(0.5*b[1]*L)
R[3]-=facG*(0.5*b[0]*L)
R[4]-=facG*(0.5*b[1]*L)

R-=facP*Fext;
</pre>
and transforming it from local to global, one has
<pre>
for i=0..3:
d1=c*R[3*i+0]-s*R[3*i+1]
d2=s*R[3*i+0]+c*R[3*i+1]
R[3*i+0]=d1
R[3*i+1]=d2
</pre>

=Notes=
<references/>

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[element.beam2t]].
*[[User guide]].

[[Category:User guide]]

Example:Timoshenko Locking

2007-05-28T22:48:28Z

Fotis:

<pre>
u=[]
r=[2,3,4,5,10,20,50,100,500,1000]
for beam in ['EULER','TIM2F','TIM2R','TIM3F','TIM3R']:
t=[]
for ratio in r:
print 'Solving for type %s and r=%4i.'%(beam,ratio)
domain.dim(2)
material.uniElastic(1,1000,0.)
section.rect(1,1.0,20./ratio)

# nodes
node.add(1,0.,0.)
for i in range(20):
node.add(2*i+2,i+0.5, 0.)
node.add(2*i+3,i+1.0, 0.)

# beams
for i in range(20):
if beam=='EULER':
element.beam2e(i+1,2*i+1,2*i+3,1,1)
elif beam=='TIM2F':
element.beam2t(i+1,2*i+1,2*i+3,1,1,2)
elif beam=='TIM2R':
element.beam2t(i+1,2*i+1,2*i+3,1,1,1)
elif beam=='TIM3F':
element.beam3t(i+1,2*i+1,2*i+3,2*i+2,1,1,3)
elif beam=='TIM3R':
element.beam3t(i+1,2*i+1,2*i+3,2*i+2,1,1,3)

node.fix(1,1)
node.fix(1,2)
node.fix(1,6)

lc.define(1)
load.node(21,2,1.0)

analysis.static()
analysis.run(1,1)

t.append(node.data(41)['disp'][1])
domain.clear()
u.append(t)

# Results
for i in range(1,5):
for j in range(len(r)):
u[i][j]=u[i][j]/u[0][j]
for j in range(len(r)):
u[0][j]=1.0
print
print "====================================================="
print "|Ratio |Tip Displacement (normalized) |"
print "-----------------------------------------------------"
print "| | EULER |TIM2F | TIM2R | TIM3F | TIM3R |"
print "====================================================="
for i in range(len(r)):
print '|%9.3f|'%(r[i]),
for j in range(5):
print ' %6.4f'%(u[j][i]),
print '|'
print "====================================================="

import pylab
from numpy import array
x=array(r)
y1=array(u[0])
y2=array(u[1])
y3=array(u[2])
y4=array(u[3])
y5=array(u[4])
pylab.semilogx(x,y1,'k',x,y2,'r:o',x,y3,'r-',x,y4,'g:o',x,y5,'g-')
pylab.legend(('Euler-Bernulli', 'Timoshenko 2 nodes, 2 Gauss-points', 'Timoshenko 2 nodes, 1 Gauss-point','Timoshenko 3 nodes, 3 Gauss-points', 'Timoshenko 3 nodes, 2 Gauss-points'),
'upper right', shadow=True)
pylab.xlabel('log (L/h)')
pylab.ylabel('w/wEB')
pylab.grid(True)
pylab.show()
</pre>

[[Category:Examples]]

Element.beam2t

2007-05-28T22:12:36Z

Fotis: /* Examples */

The following article describes the use of the <tt>element.beam2t</tt> command.
This command defines a simple, two-node elastic Timoshenko beam element.

=Syntax=
element.beam2t(id,node1,node2,mat,sec,rule)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|node1-2|| The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|-
|sec || The element [[section]] ||align="center"| integer ||align="center"|-
|-
|rule || The integration rule ||align="center"| integer ||align="center"|1
|}

=Examples=
[[Image:Timoshenko_Example.png|thumb|350px|Shear locking effects in Timoshenko beam.]]
Cantilever beam example, motivated by <ref>O.C. Zienkiewicz & R.L. Taylor, ''"The Finite Element Method for Solids and Structural Mechanics"'', 6th Edition, p307</ref>, demonstrating shear locking effects. Twenty elements are used for different span L to depth h ratios for a rectangular cross-section. The beams used are the Bernulli-Euler, a 2-node full integration (2 points) Timoshenko beam, a 2-node reduced integration (1 point) Timoshenko beam, a 3-node full integration (3 points) Timoshenko beam and a 3-node reduced integration (2 points) Timoshenko beam. The use of exact integration for the second one, leads to a solution which 'locks' as the beam becomes slender, whereas the reduced integration scheme shows no locking for the range plotted. The results are also given in the following table, where the example can be found [[Example:Timoshenko_Locking|here]].
 
=====================================================
|Ratio |Tip Displacement (normalized) |
-----------------------------------------------------
| | EULER |TIM2F | TIM2R | TIM3F | TIM3R |
=====================================================
| 2.000| 1.0000 1.2349 1.2390 1.2400 1.2400 |
| 3.000| 1.0000 1.0964 1.1057 1.1067 1.1067 |
| 4.000| 1.0000 1.0426 1.0590 1.0600 1.0600 |
| 5.000| 1.0000 1.0120 1.0374 1.0384 1.0384 |
| 10.000| 1.0000 0.9144 1.0086 1.0096 1.0096 |
| 20.000| 1.0000 0.7076 1.0014 1.0023 1.0023 |
| 50.000| 1.0000 0.2776 0.9994 1.0000 1.0000 |
| 100.000| 1.0000 0.0876 0.9991 0.9994 0.9994 |
| 500.000| 1.0000 0.0038 0.9990 0.9990 0.9990 |
| 1000.000| 1.0000 0.0010 0.9990 0.9990 0.9990 |
=====================================================

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined. This beam exhibits severe shear locking, and therefore it is recommended to adopt a reduced integration scheme.

=Theory=
[[Image:Timoshenko_Kinematics.png|thumb|300px|Beam deformation including shear effect.]]
The kinematic assumptions are those shown in the figure on the right.
 

=Implementation=

The element length and directional cosines are given as:
<pre>
L=sqrt((y2-y1)*(y2-y1)+(x2-x1)*(x2-x1));
c=(x2-x1)/L;
s=(y2-y1)/L;
</pre>

==Stiffness Matrix K==
The stiffness matrix K in global coordinates is given as:
<pre>
for k in GaussPoints:
xi=GaussPoints(k).xi
dx=GaussPoints(k).weight*0.5*L
for i=0..2:
for j=0..2:
Ni,dNi=shapeFunctions(i,xi)
Nj,dNj=shapeFunctions(j,xi)
K(3*i+0,3*j+0)+=(dNi*dNj*(C1*c*c+C3-c*c*C3) )*dx
K(3*i+0,3*j+1)+=(c*dNi*dNj*s*(-C3+C1) )*dx
K(3*i+0,3*j+2)+=(s*dNi*C3*Nj )*dx
K(3*i+1,3*j+0)+=(c*dNi*dNj*s*(-C3+C1) )*dx
K(3*i+1,3*j+1)+=(-dNi*dNj*(-c*c*C3-C1+C1*c*c))*dx
K(3*i+1,3*j+2)+=(-c*dNi*C3*Nj )*dx
K(3*i+2,3*j+0)+=(Ni*C3*dNj*s )*dx
K(3*i+2,3*j+1)+=(-Ni*C3*dNj*c )*dx
K(3*i+2,3*j+2)+=(dNi*C2*dNj+Ni*C3*Nj )*dx
</pre>
where,
<pre>
C1=E*A
C2=E*J
C3=a*G*A
</pre>

==Residual vector R==
The residual vector in global coordinates is given as:
R = facS*Fint - facG*Fgravity - facP*Fext
where <tt>facS</tt>, <tt>facG</tt> and <tt>facP</tt>, factors controlled by [[group.state]].
In local coordinates it yields,
<pre>
for k in GaussPoints:
xi=GaussPoints(k).xi
dx=GaussPoints(k).weight*0.5*L
for i=0..2:
Ni,dNi=shapeFunctions(i,xi)
R[3*i+0]+=facS*((dNi*sigma[0]) )*dx
R[3*i+1]+=facS*((dNi*sigma[2]) )*dx
R[3*i+2]+=facS*((dNi*sigma[1]-Ni*sigma[2]))*dx

R[0]-=facG*(0.5*b[0]*L)
R[1]-=facG*(0.5*b[1]*L)
R[3]-=facG*(0.5*b[0]*L)
R[4]-=facG*(0.5*b[1]*L)

R-=facP*Fext;
</pre>
and transforming it from local to global, one has
<pre>
for i=0..2:
d1=c*R[3*i+0]-s*R[3*i+1]
d2=s*R[3*i+0]+c*R[3*i+1]
R[3*i+0]=d1
R[3*i+1]=d2
</pre>

=Notes=
<references/>

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[element.beam3t]].
*[[User guide]].

[[Category:User guide]]

Element.tria6d

2007-05-15T22:39:41Z

Fotis: Initial entry.

The following article describes the use of the <tt>element.tria6d</tt> command.
This command defines a displacement based, 6-node quadratic triangle.

=Syntax=
element.tria6d(id,dof1,dof2,dof3,dof4,dof5,dof6,mat)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-6 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|}

=Examples=
element.tria3d(2,1,2,3,4,5,6,2)

=Comments=
Nodes and material '''must''' be already defined.

=See also=
*[[node]] module.
*[[material]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Analysis.static

2007-02-03T20:02:12Z

Fotis: /* Defaults */

The following article describes the use of the <tt>analysis.static</tt> command.
This command defines defines a static analysis.

=Syntax=
analysis.static()

=Available options=
<tt>analysis.static</tt> can be used in conjunction with the following commands:
* <tt>[[control.load]]</tt>
* <tt>[[control.disp]]</tt>
* <tt>[[control.arcLength]]</tt>

=Defaults=
If no other option is set, by using <tt>analysis.static</tt>, then the followings are assumed:
* <tt>[[control.load]]</tt>,
* <tt>[[algorithm.linear]]</tt>,
* <tt>[[soe.full]]</tt> and
* <tt>[[reorderer.none]]</tt>

[[Category:User guide]]

Imposer.Lagrange

2007-02-03T19:50:39Z

Fotis:

The following article describes the use of the <tt>imposer.Lagrange</tt> command.
With this command the Lagrange multipliers method is used to impose constraints.

=Syntax=
imposer.Lagrange()

=Examples=
Impose the constraints using the elimination method.
imposer.Lagrange()

=Comments=

=See also=
*[[imposer]] module.
*[[analysis]] module.
*[[User guide]].

[[Category:User guide]]

Imposer.elimination

2007-02-03T19:49:07Z

Fotis:

The following article describes the use of the <tt>imposer.elimination</tt> command.
With this command the elimination method is used to impose constraints.

=Syntax=
imposer.elimination()

=Examples=
Impose the constraints using the elimination method.
imposer.elimination()

=Comments=
This command can be used only when single degree of freedom, uniform constraints are used.

=See also=
*[[imposer]] module.
*[[analysis]] module.
*[[User guide]].

[[Category:User guide]]

Soe.symm

2007-02-02T18:23:26Z

Fotis:

The following article describes the use of the <tt>soe.symm</tt> command.
This command is used to define a symmetric packed storage scheme for storing the [[soe|system of equations]]. [http://www.netlib.org/lapack/ Lapack's] computational routines ([http://www.netlib.org/lapack/double/dsptrf.f DSPTRF] and [http://www.netlib.org/lapack/double/dsptrs.f DSPTRS]) are then used to solve the system.

=Syntax=
soe.symm()

=Examples=
Define a symmetric packed scheme for storing the [[soe|system of equations]] and the corresponding [http://www.netlib.org/lapack/ Lapack's] routines] to solve it:
soe.symm()

=Comments=
An exception is thrown if the [[soe|system of equations]] cannot be solved.

=See also=
*[[soe]] module.
*[[User guide]].

[[Category:User guide]]

Soe.full

2007-02-02T18:21:40Z

Fotis:

The following article describes the use of the <tt>soe.band</tt> command.
This command is used to define a full storage scheme for storing the [[soe|system of equations]]. [http://www.netlib.org/lapack/ Lapack's] computational routines ([http://www.netlib.org/lapack/double/dgetrf.f DGETRF] and [http://www.netlib.org/lapack/double/dgetrs.f DGETRS]) are then used to solve the system.

=Syntax=
soe.full()

=Examples=
Define a full storage scheme for storing the [[soe|system of equations]] and the corresponding [http://www.netlib.org/lapack/ Lapack's] routines] to solve it:
soe.full()

=Comments=
An exception is thrown if the [[soe|system of equations]] cannot be solved.

=See also=
*[[soe]] module.
*[[User guide]].

[[Category:User guide]]

Soe.band

2007-02-02T18:14:44Z

Fotis:

The following article describes the use of the <tt>soe.band</tt> command.
This command is used to define a band storage scheme for storing the [[soe|system of equations]]. [http://www.netlib.org/lapack/ Lapack's] computational routines ([http://www.netlib.org/lapack/double/dgbtrf.f DGBTRF] and [http://www.netlib.org/lapack/double/dgbtrs.f DGBTRS]) are then used to solve the system.

=Syntax=
soe.band()

=Examples=
Define a band storage scheme for storing the [[soe|system of equations]] and the corresponding [http://www.netlib.org/lapack/ Lapack's] routines] to solve it:
soe.band()

=Comments=
An exception is thrown if the [[soe|system of equations]] cannot be solved.

=See also=
*[[soe]] module.
*[[User guide]].

[[Category:User guide]]

Example:Transient 01

2007-01-31T18:47:37Z

Fotis:

<pre>
domain.dim(1)

material.uniElastic(1,1000.,0.2,5.)
section.user(1,1.)

node.add(1,0.)
node.add(2,1.)

element.bar(1,1,2,1,1)
node.fix(1,1)

lc.define(1)
load.sin(2,1,15.,1.,0.)

analysis.transient()
imposer.elimination()
algorithm.linear()
control.Newmark(0.25,0.5,0.01)
soe.full()
analysis.run(1,1000)

print "u =",node.data(2)['disp'][0]
print "v =",node.data(2)['velc'][0]
print "a =",node.data(2)['accl'][0]
</pre>

[[Category:Examples]]

Example:Transient 02

2007-01-31T18:46:07Z

Fotis:

<pre>
domain.dim(1)

material.uniElastoPlastic(1,1000.,0.2,10.,0., 5.,500.,0.)
section.user(1,1.)

node.add(1,0.)
node.add(2,1.)

element.bar(1,1,2,1,1)
node.fix(1,1)

lc.define(1)
load.sin(2,1,15.,1.,0.)

analysis.transient()
imposer.elimination()
algorithm.fNR()
convergence.set(20,1e-3,1e-6,1e-6)
control.Newmark(0.25,0.5,0.01)
soe.full()
analysis.run(1,1000)

print "u =",node.data(2)['disp'][0]
print "v =",node.data(2)['velc'][0]
print "a =",node.data(2)['accl'][0]
</pre>

[[Category:Examples]]

Example:Transient 04

2007-01-31T18:44:36Z

Fotis:

<pre>
domain.dim(1)

material.uniElastic(1,1000.,0.2,5.)
section.user(1,1.)

node.add(1,0.)
node.add(2,1.)
node.add(3,2.)
node.add(4,3.)
node.add(5,4.)

element.bar(1,1,2,1,1)
element.bar(2,2,3,1,1)
element.bar(3,3,4,1,1)
element.bar(4,4,5,1,1)
node.fix(1,1)

lc.define(1)
#groundMotion.file(1,"Sin.dat",0.01,15.)
groundMotion.sin(1,15.,1.)

analysis.transient()
imposer.elimination()
algorithm.linear()
control.Newmark(0.25,0.5,0.01)
soe.full()
analysis.run(1,1000)

print "u =",node.data(5)['disp'][0]
print "v =",node.data(5)['velc'][0]
print "a =",node.data(5)['accl'][0]
</pre>

[[Category:Examples]]

Example:Transient 03

2007-01-31T18:43:27Z

Fotis:

<pre>
from numpy import array,arange
from matplotlib import use
from matplotlib.pylab import plot,xlabel,ylabel,title,grid,savefig

steps=1000
timestep=0.01
for k in range(0,8):

domain.dim(1)
material.uniElastic(1,1000.,0.2,10.)
section.user(1,1.)

node.add(1,0.)
node.add(2,1.)

element.bar(1,1,2,1,1)
node.fix(1,1)

lc.define(1)
load.sin(2,1,10.,150.,0.)

tracker.node(1,2)
domain.RayleighDamping(0.0001*k,0.25*k)
analysis.transient()
imposer.elimination()
algorithm.linear()
control.Newmark(0.25,0.5,timestep)
soe.full()
analysis.run(1,steps)

t=arange(0,(steps+1)*timestep,timestep)
s=[]
for i in range(tracker.steps(1)):
s.append(tracker.data(1,i)[ 5])
s=array(s)
domain.clear()
plot(t, s, linewidth=1.0)
xlabel('time')
ylabel('u')
title('Rayleight damping')
grid(True)
savefig('RayleighDamping.png')
</pre>

[[Category:Examples]]

Section.rect

2007-01-29T17:07:07Z

Fotis: /* Parameters */

The following article describes the use of the <tt>section.rect</tt> command.
This command is used to introduce a new rectangular section.

=Syntax=
section.rect(id,w,h)

=Parameters=
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The section's id ||align="center"| integer ||align="center"|-
|-
|w || Width ||align="center"| float ||align="center"|-
|-
|h || Height ||align="center"| float ||align="center"|-
|}

=Examples=
Create a rectangular cross-section.
section.rect( 7, 0.25, 0.5)

=Comments=

=See also=
*[[section]] module.
*[[User guide]].

[[Category:User guide]]

Section.user

2007-01-29T17:03:57Z

Fotis:

The following article describes the use of the <tt>section.user</tt> command.
This command is used to introduce a new arbitrary section.

=Syntax=
section.user(id,A,As2,As3,J1,J2,J3,h2,h3)

=Parameters=
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The section's id ||align="center"| integer ||align="center"|-
|-
|A || Area ||align="center"| float ||align="center"|-
|-
|As2 || Shear Area y ||align="center"| float ||align="center"|0.
|-
|As3 || Shear Area z ||align="center"| float ||align="center"|0.
|-
|J1 || Moment of Inertia around x ||align="center"| float ||align="center"|0.
|-
|J2 || Moment of Inertia around y ||align="center"| float ||align="center"|0.
|-
|J3 || Moment of Inertia around z ||align="center"| float ||align="center"|0.
|-
|h2 || Height of section in y ||align="center"| float ||align="center"|0.
|-
|h3 || Height of section in y ||align="center"| float ||align="center"|0.
|}

=Examples=
Create a simple cross-section for a [[element.bar2s|bar]] [[element]].
section.user( 7, 1.)
Create a cross-section for a [[element.beam2d|beam]] [[element]].
section.user( 7, 3., 2.5, 2.5, 1e-2, 1e-4, 1e-4, 0.1, 0.2)

=Comments=

=See also=
*[[section]] module.
*[[User guide]].

[[Category:User guide]]

Material.uniElastoPlastic

2007-01-29T12:09:42Z

Fotis: /* Syntax */

The following article describes the use of the <tt>material.uniElastoPlastic</tt> command.
This command defines a uniaxial elastoplastic material.

=Syntax=
material.uniElastoPlastic(id,E,|nu,|rho,|aT,|sy,|Hiso,|Hkin,|eta)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The material id ||align="center"| integer ||align="center"|-
|-
|E || Young's modulus ||align="center"| float ||align="center"|-
|-
|nu || Poisson's ratio ||align="center"| float ||align="center"|0.
|-
|rho || Density ||align="center"| float ||align="center"|0.
|-
|aT || Thermal coefficient ||align="center"| float ||align="center"|0.
|-
|sy || Yield stress ||align="center"| float ||align="center"|0.
|-
|Hiso || Isotropic hardening nodulus ||align="center"| float ||align="center"|0.
|-
|Hkin || Kinematic hardening nodulus ||align="center"| float ||align="center"|0.
|-
|eta || Viscocity parameter ||align="center"| float ||align="center"|0.
|}

=Examples=
Create a uniaxial elastoplastic material.
material.uniElastoPlastic(2, 1000., 0.2, 20., 1e-4, 1500., 500., 500., 1e6)

=Comments=

=See also=
*[[material]] module.
*[[User guide]].

[[Category:User guide]]

Material.uniElastic

2007-01-29T12:03:37Z

Fotis: /* Syntax */

The following article describes the use of the <tt>material.uniElastic</tt> command.
This command defines a uniaxial elastic material.

=Syntax=
material.uniElastic(id,E,|nu,|rho,|aT)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The material id ||align="center"| integer ||align="center"|-
|-
|E || Young's modulus ||align="center"| float ||align="center"|-
|-
|nu || Poisson's ratio ||align="center"| float ||align="center"|0.
|-
|rho || density ||align="center"| float ||align="center"|0.
|-
|aT || thermal coefficient ||align="center"| float ||align="center"|0.
|}

=Examples=
Create a uniaxial elastic material for a [[element.bar2s|bar]] [[element]].
material.uniElastic(2, 1000.)
Create a uniaxial elastic material for a Timoshenko [[element.beam2t|beam]] [[element]].
material.uniElastic(4, 1000., 0.25, 25., 1e-4)

=Comments=

=See also=
*[[material]] module.
*[[User guide]].

[[Category:User guide]]

Imposer

2007-01-24T18:54:22Z

Fotis:

With the <tt>imposer</tt> module, the way that the constraints are imposed, is set.

=Commands=
The following commands are available.
*[[imposer.elimination]].
*[[imposer.penalty]].
*[[imposer.Lagrange]].

=See also=
*[[analysis]] module.
*[[User guide]].

[[Category:User guide]]

Imposer.penalty

2007-01-24T18:51:29Z

Fotis:

The following article describes the use of the <tt>imposer.penalty</tt> command.
With this command the penalty method is used to impose constraints.

=Syntax=
imposer.penalty(a)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|a || The penalty coefficient ||align="center"| float ||align="center"|-
|}

=Examples=
Impose the constraints using the penalty method and a penalty factor 108.
imposer.penalty(1e8)

=Comments=

=See also=
*[[imposer]] module.
*[[analysis]] module.
*[[User guide]].

[[Category:User guide]]

Domain.type

2007-01-24T13:26:29Z

Fotis: /* Comments */

The following article describes the use of the <tt>domain.type</tt> command.
This command is used to set the domain's type.

=Syntax=
domain.type(''s'')

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|''s'' || The domain's type||align="center"| string ||align="center"|-
|}
Where ''s'' can be of type planeStrain, planeStress, axisymmetric.

=Examples=
Create a plane strain domain.
domain.dim("planeStrain")

=Comments=
The domain's type puts some restrictions on the type of elements that can be used.

A domain of type ''planeStrain'' or ''planeStress'' is defined in the ''xy'' coordinate axes, with the thickness to defined in the ''z''-direction.

=See also=
*[[domain]] module.
*[[domain.dim]].
*[[User guide]].

[[Category:User guide]]

Domain.dim

2007-01-24T12:53:54Z

Fotis:

{{lowercase}}
The following article describes the use of the <tt>node.dim</tt> command.
This command is used to set the domain's dimensions.

=Syntax=
domain.dim(''n'')

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|''n'' || The domain's dimensions ||align="center"| integer ||align="center"|-
|}

=Examples=
Create a three-dimensional domain.
domain.dim(3)

=Comments=
The only valid values are 1, 2 and 3.

=See also=
*[[domain]] module.
*[[User guide]].

[[Category:User guide]]

Algorithm

2007-01-21T14:51:21Z

Fotis:

The <tt>algorithm</tt> module holds a set of different algorithms used in linear
and non-linear analysis. When not used, the default algorithm is set to
[[algorithm.linear]].

=See also=
*[[Analysis|<tt>analysis</tt>]] module.
*[[User guide]].

[[Category:User guide]]

Analysis

2007-01-21T14:47:51Z

Fotis:

The <tt>analysis</tt> module determines the type of analysis and controls analysis options.

=See also=
*[[User guide]].

[[Category:User guide]]

Element.tria3d

2007-01-20T19:05:06Z

Fotis:

The following article describes the use of the <tt>element.tria3d</tt> command.
This command defines a displacement based, three-node bilinear triangle, whose nodes
are given in an anticlockwise manner.

=Syntax=
element.tria3d(id,dof1,dof2,dof3,mat)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-3 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|}

=Examples=
element.tria3d(2,1,2,10,2)

=Comments=
Nodes and material '''must''' be already defined.

=See also=
*[[node]] module.
*[[material]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Element.beam2e

2007-01-20T13:14:57Z

Fotis: /* Stiffness Matrix K */

The following article describes the use of the <tt>element.beam2e</tt> command.
This command defines a simple, two-node elastic Bernulli-Euler beam element.

=Syntax=
element.beam2e(id,dof1,dof2,mat,sec)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-2 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|-
|sec || The element [[section]] ||align="center"| integer ||align="center"|-
|}

=Examples=
Define a two-dimensional beam with id 1, start node 1, end node 2, material id 2 and section id 3.
element.beam2e(2,1,2,2,3)

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined.

=Theory=

=Implementation=
The implementation of the Bernulli-Euler beam follows closely the implementation of ''Cook et al''.<ref>R.D. Cook, d.S. Malkus and M.E. Plesha, ''"Concepts and Applications of Finite Element Analysis"'', 3rd Edition, John Wiley & Sons, 1989, p.216</ref> Special care is taken to avoid matrix multiplications in favor of efficiency.

==General==
The element length and directional cosines are given as:
<pre>
L=sqrt((y2-y1)*(y2-y1)+(x2-x1)*(x2-x1));
c=(x2-x1)/L;
s=(y2-y1)/L;
</pre>

In what follows, <tt>E</tt> denotes Young modulus, <tt>A</tt> and <tt>J</tt> cross-sectional area and moment of inertia respectively and <tt>b</tt> is the vector of gravity loads in local coordinates.

==Stiffness Matrix K==
The stiffness matrix K in global coordinates is given as:
<pre>
K(0,0)= K1; K(0,1)= K2; K(0,2)= K4; K(0,3)=-K1; K(0,4)=-K2; K(0,5)= K4;
K(1,0)= K2; K(1,1)= K3; K(1,2)= K5; K(1,3)=-K2; K(1,4)=-K3; K(1,5)= K5;
K(2,0)= K4; K(2,1)= K5; K(2,2)= K6; K(2,3)=-K4; K(2,4)=-K5; K(2,5)= K7;
K(3,0)=-K1; K(3,1)=-K2; K(3,2)=-K4; K(3,3)= K1; K(3,4)= K2; K(3,5)=-K4;
K(4,0)=-K2; K(4,1)=-K3; K(4,2)=-K5; K(4,3)= K2; K(4,4)= K3; K(4,5)=-K5;
K(5,0)= K4; K(5,1)= K5; K(5,2)= K7; K(5,3)=-K4; K(5,4)=-K5; K(5,5)= K6;
</pre>
where,
<pre>
K1=C1*c*c+C2*s*s;
K2=(C1-C2)*c*s;
K3=C1*s*s+C2*c*c;
K4=-C3*s;
K5=C3*c;
K6=4*E*J/L;
K7=2*E*J/L;
</pre>
with
<pre>
C1=E*A/L;
C2=12*E*J/(L*L*L);
C3=6*E*J/(L*L);
</pre>

==Residual vector R==
The residual vector in global coordinates is given as:
R = facS*Fint - facG*Fgravity - facP*Fext
where <tt>facS</tt>, <tt>facG</tt> and <tt>facP</tt>, factors controlled by [[group.state]]. In local coordinates this yields,
<pre>
R[0]=facS*( KN*u[0] - KN*u[3]) - facG*( 0.5*b[0]*L);
R[1]=facS*( K12*u[1] + K6*u[2] - K12*u[4] + K6*u[5]) - facG*( 0.5*b[1]*L);
R[2]=facS*( K6*u[1] + K4*u[2] - K6*u[4] + K2*u[5]) - facG*( b[1]*L*L/12.);
R[3]=facS*(- KN*u[0] + KN*u[3]) - facG*( 0.5*b[0]*L);
R[4]=facS*(- K12*u[1] - K6*u[2] + K12*u[4] - K6*u[5]) - facG*( 0.5*b[1]*L);
R[5]=facS*( K6*u[1] + K2*u[2] - K6*u[4] + K4*u[5]) - facG*(-b[1]*L*L/12.);
R-=facP*Fext;
</pre>
and transforming it from local to global,
<pre>
R0=c*R[0]-s*R[1];
R1=s*R[0]+c*R[1];
R3=c*R[3]-s*R[4];
R4=s*R[3]+c*R[4];
R[0]=R0;
R[1]=R1;
R[3]=R3;
R[4]=R4;
</pre>

=Notes=
<references/>

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Element.bar2t

2007-01-20T13:10:19Z

Fotis:

The following article describes the use of the <tt>element.bar2t</tt> command.
This command defines a two-node truss member based on the total Lagrangian formulation.

=Syntax=
element.bar2t(id,dof1,dof2,mat,sec)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-2 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|-
|sec || The element [[section]] ||align="center"| integer ||align="center"|-
|}

=Examples=
element.bar2t(2,1,2,2,3)

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined.

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Example pile

2007-01-18T18:02:37Z

Fotis: /* Main file: pile.slv */

=Main file: pile.slv=
<pre>
import string
try:
nsfile = open("pile[ns].dat",'r')
npfile = open("pile[np].dat",'r')
ncfile = open("pile[nc].dat",'r')
esfile = open("pile[es].dat",'r')
epfile = open("pile[ep].dat",'r')

except IOError:
sys.exit(0)

domain.dim(3)
db.SQLite("pile")

zs=[0.,1.,2.,3.,4.,5.,6.,7.5,8.0,8.5,9.0,9.5,10.0]
zp=[0.,1.,2.,3.,4.,5.,6.,7.5,8.0,8.5,9.0,9.5,10.0,10.5,11.0,11.5,12.0]
zc=[0.,1.,2.,3.,4.,5.,6.,7.5,8.0,8.5,9.0,9.5,10.0,10.5,11.0,11.5,12.0]
###############################################################################
# nodes
###############################################################################
nd=[]
# soil nodes
temp=[]
for line in nsfile.readlines():
words=string.split(line)
temp.append([int(words[0]),float(words[1]),float(words[2])])
for i in range(len(zs)):
for j in range(len(temp)):
nd.append([(i+1)*1000+temp[j][0],temp[j][1],temp[j][2],zs[i]])
# pile nodes
temp=[]
for line in npfile.readlines():
words=string.split(line)
temp.append([int(words[0]),float(words[1]),float(words[2])])
for i in range(len(zp)):
for j in range(len(temp)):
nd.append([(i+1)*1000+temp[j][0],temp[j][1],temp[j][2],zp[i]])
# common nodes
temp=[]
for line in ncfile.readlines():
words=string.split(line)
temp.append([int(words[0]),float(words[1]),float(words[2])])
for i in range(len(zc)):
for j in range(len(temp)):
nd.append([(i+1)*1000+temp[j][0],temp[j][1],temp[j][2],zc[i]])

###############################################################################
# elems
###############################################################################
el=[]
# soil elems
temp=[]
for line in esfile.readlines():
words=string.split(line)
temp.append([int(words[0]),int(words[1]),int(words[2]),int(words[3])])
for i in range(len(zs)-1):
for j in range(len(temp)):
el.append([(i+1)*1000+temp[j][0],(i+1)*1000+temp[j][0],(i+1)*1000+temp[j][1],(i+1)*1000+temp[j][2],(i+1)*1000+temp[j][3],(i+2)*1000+temp[j][0],(i+2)*1000+temp[j][1],(i+2)*1000+temp[j][2],(i+2)*1000+temp[j][3],1])
# pile elems
temp=[]
for line in epfile.readlines():
words=string.split(line)
temp.append([int(words[0]),int(words[1]),int(words[2]),int(words[3])])
for i in range(len(zp)-1):
for j in range(len(temp)):
el.append([(i+1)*1000+temp[j][0],(i+1)*1000+temp[j][0],(i+1)*1000+temp[j][1],(i+1)*1000+temp[j][2],(i+1)*1000+temp[j][3],(i+2)*1000+temp[j][0],(i+2)*1000+temp[j][1],(i+2)*1000+temp[j][2],(i+2)*1000+temp[j][3],2])

material.plainStrainElasticIsotropic(1, 1E3, 0., 0.)
material.plainStrainElasticIsotropic(2, 1E6, 0., 0.)

for i in range(len(nd)):
node.add(nd[i][0],nd[i][1],nd[i][2],nd[i][3])

for i in range(len(el)):
element.brick8d(el[i][0],el[i][1],el[i][2],el[i][3],el[i][4],el[i][5],el[i][6],el[i][7],el[i][8],el[i][9])

###############################################################################
# constraints
###############################################################################
for i in range(len(nd)):
x=nd[i][1]
y=nd[i][2]
z=nd[i][3]
if z==0:
node.fix(nd[i][0],1)
node.fix(nd[i][0],2)
node.fix(nd[i][0],3)
elif x==-5.8 or x==5.8:
node.fix(nd[i][0],1)
elif y== 0.0 or y==6.5:
node.fix(nd[i][0],2)

###############################################################################
# loadcase
###############################################################################
lc.define(1,"horizontal")
h=len(zp)
p=10
load.node(h*1000+111,1,p)
load.node(h*1000+121,1,p)
load.node(h*1000+131,1,p)
load.node(h*1000+141,1,p)
load.node(h*1000+151,1,p)
load.node(h*1000+161,1,p)
load.node(h*1000+171,1,p)
load.node(h*1000+181,1,p)
load.node(h*1000+191,1,p)
load.node(h*1000+210,1,p)
load.node(h*1000+211,1,p)
load.node(h*1000+212,1,p)
load.node(h*1000+213,1,p)
load.node(h*1000+290,1,p)
load.node(h*1000+220,1,p)
load.node(h*1000+214,1,p)
load.node(h*1000+215,1,p)
load.node(h*1000+216,1,p)
load.node(h*1000+280,1,p)
load.node(h*1000+230,1,p)
load.node(h*1000+240,1,p)
load.node(h*1000+250,1,p)
load.node(h*1000+260,1,p)
load.node(h*1000+270,1,p)

###############################################################################
# analysis
###############################################################################
analysis.static()
reorder.rCM()
soe.band()
analysis.run(1,1)

db.store("pile_soln")
db.exportToVtk("pile_soln")
</pre>

=Auxiliary file: pile[ns].dat=
<pre>
112 -0.8 0
113 -1.4 0
114 -2.2 0
115 -3.2 0
116 -4.4 0
117 -5.8 0
122 -0.8 0.4483
123 -1.4 0.7845
124 -2.2 1.2328
125 -3.2 1.7931
126 -4.4 2.4655
127 -5.8 3.25
132 -0.8 0.8966
133 -1.4 1.569
134 -2.2 2.4655
135 -3.2 3.5862
136 -4.4 4.931
137 -5.8 6.5
142 -0.4164 0.8966
143 -0.7504 1.569
144 -1.1958 2.4655
145 -1.7525 3.5862
146 -2.4206 4.931
147 -3.2 6.5
152 0 0.8966
153 0 1.569
154 0 2.4655
155 0 3.5862
156 0 4.931
157 0 6.5
162 0.4164 0.8966
163 0.7504 1.569
164 1.1958 2.4655
165 1.7525 3.5862
166 2.4206 4.931
167 3.2 6.5
172 0.8 0.8966
173 1.4 1.569
174 2.2 2.4655
175 3.2 3.5862
176 4.4 4.931
177 5.8 6.5
182 0.8 0.4483
183 1.4 0.7845
184 2.2 1.2328
185 3.2 1.7931
186 4.4 2.4655
187 5.8 3.25
192 0.8 0
193 1.4 0
194 2.2 0
195 3.2 0
196 4.4 0
197 5.8 0
</pre>

=Auxiliary file: pile[np].dat=
<pre>
210 -0.2 0
211 -0.0843 0
212 0 0
213 0.0843 0
290 0.2 0
220 -0.2 0.1121
214 -0.0843 0.1121
215 0 0.1121
216 0.0843 0.1121
280 0.2 0.1121
230 -0.2 0.2281
240 -0.0843 0.2281
250 0 0.2281
260 0.0843 0.2281
270 0.2 0.2281
</pre>

=Auxiliary file: pile[nc].dat=
<pre>
111 -0.4 0
121 -0.349 0.1955
131 -0.2644 0.3002
141 -0.1543 0.369
151 0 0.4
161 0.1543 0.369
171 0.2644 0.3002
181 0.349 0.1955
191 0.4 0
</pre>

=Auxiliary file: pile[es].dat=
<pre>
112 111 121 122
113 112 122 123
114 113 123 124
115 114 124 125
116 115 125 126
117 116 126 127
122 121 131 132
123 122 132 133
124 123 133 134
125 124 134 135
126 125 135 136
127 126 136 137
132 131 141 142
133 132 142 143
134 133 143 144
135 134 144 145
136 135 145 146
137 136 146 147
142 141 151 152
143 142 152 153
144 143 153 154
145 144 154 155
146 145 155 156
147 146 156 157
152 151 161 162
153 152 162 163
154 153 163 164
155 154 164 165
156 155 165 166
157 156 166 167
162 161 171 172
163 162 172 173
164 163 173 174
165 164 174 175
166 165 175 176
167 166 176 177
172 171 181 182
173 172 182 183
174 173 183 184
175 174 184 185
176 175 185 186
177 176 186 187
182 181 191 192
183 182 192 193
184 183 193 194
185 184 194 195
186 185 195 196
187 186 196 197
</pre>

=Auxiliary file: pile[ep].dat=
<pre>
111 210 220 121
121 220 230 131
131 230 240 141
141 240 250 151
151 250 260 161
161 260 270 171
171 270 280 181
181 280 290 191
210 211 214 220
211 212 215 214
212 213 216 215
213 290 280 216
220 214 240 230
214 215 250 240
215 216 260 250
216 280 270 260
</pre>
[[Category:Examples]]

Participate

2007-01-12T09:56:41Z

Fotis: Reverted edits by OuelrElpas (Talk); changed back to last version by Fotis

This is the place to come if you want to become actively involved with the project. All the content in this section assumes that you have a deep understanding of '''nemesis''' or you have already used it quite a lot.

==Publications==
You may want to add a link to your publication if you have used '''nemesis''' in the [[Publications|publications]] page.

==Requests==
Assuming that '''nemesis''' does not fit you, you may want to [[Requests|request]] for a feature.

==Bugs==
If you found a bug, please leave a short note in this [[Bugs|page]].

==Development Tools==
For the development of '''nemesis''' the following tools are used:
* [http://www.mingw.org/ MinGW] Minimalist GNU for Windows.

[[Category:Participate]]

Element.bar2s

2007-01-11T20:20:29Z

Fotis:

The following article describes the use of the <tt>element.bar2s</tt> command.
This command defines a simple, two-node bilinear truss member.

=Syntax=
element.bar2s(id,dof1,dof2,mat,sec)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-2 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|-
|sec || The element [[section]] ||align="center"| integer ||align="center"|-
|}

=Examples=
element.bar2s(2,1,2,2,3)

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined.

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Element.quad4d

2007-01-11T15:01:13Z

Fotis:

The following article describes the use of the <tt>element.quad4d</tt> command.
This command defines a displacement based, four-node bilinear quadrilateral, whose nodes
are given in an anticlockwise manner as shown in the figure.

[[Image:Quad.png|thumb|The four-node quadrilateral.]]

=Syntax=
element.quad4d(id,dof1,dof2,dof3,dof4,mat)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|dof1-4 || The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|}

=Examples=
element.quad4d(2,1,2,10,9,2)

=Comments=
Nodes and material '''must''' be already defined.

=See also=
*[[node]] module.
*[[material]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

Node

2007-01-11T14:44:54Z

Fotis: /* See also */

The following article describes the use of the node module. This module is responsible for most operations acting on nodes, like adding new nodes, fixing some of their dofs or retrieving their data.

== Degrees of freedom ==

== Data representation ==

=See also=
*[[User guide]].

[[Category:User guide]]

Node.data

2007-01-11T12:10:45Z

Fotis:

The following article describes the use of the <tt>node.data</tt> command. This command is used to obtain nodal data. It returns a [http://wwww.python.org/ python] [http://docs.python.org/lib/typesmapping.html dictionary] containing all relevant data.

=Syntax=
node.data(id)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The nodal id ||align="center"| integer ||align="center"|-

|}

=Examples=
Get a dictionary containing nodal data.
node.data(7)

=Comments=
Dofs here (due to python [http://docs.python.org/lib/typesmapping.html dictionaries]) are assumed to start from 0.

=See also=
*[[node]] module.
*[[User guide]].
[[Category:User guide]]

News

2007-01-11T10:13:36Z

Fotis:

{{Nemesis News}}

[[Category:News]]

Node.fix

2007-01-10T22:53:38Z

Fotis:

The following article describes the use of the <tt>node.fix</tt> command.
This command is used to fix a certain dof of a node.

=Syntax=
node.fix(id,dof)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The nodal id ||align="center"| integer ||align="center"|-
|-
|dof || The dof to be fixed ||align="center"| integer ||align="center"|-
|}

=Examples=
Fix uy of node 1.
node.add( 1, 2)

=Comments=
Dofs are assumed to start from 1.

=See also=
*[[node]] module.
*[[User guide]].

[[Category:User guide]]

Download

2007-01-10T20:14:06Z

Fotis:

Here you may find links to downloads. Project hosting is at this time done in [http://code.google.com/p/nemesis-code/ google code]. You can get the [http://code.google.com/p/nemesis-code/downloads/list binaries] (soon to be uploaded) or you can run through the source code
[http://code.google.com/p/nemesis-code/source source code].

{{MessageCritical|Please keep in mind that '''nemesis''' comes with ABSOLUTELY NO WARRANTY.}}

[[Category:Download]]

Bugs

2007-01-10T20:13:18Z

Fotis: Reverted edits by DomboVibas (Talk); changed back to last version by Fotis

Let's hope this page will remain blank.

Bug tracking is provided by [http://code.google.com/p/nemesis-code/issues/list google code].

[[Category:Participate]]

Requests

2007-01-10T20:12:53Z

Fotis: Reverted edits by EltboTadom (Talk); changed back to last version by Fotis

If you find '''nemesis''' too short, please leave a request here.

[[Category:Participate]]

Publications

2007-01-10T20:11:48Z

Fotis:

This is the place to leave a link to a publication, if it is about '''nemesis''' or if '''nemesis''' helped you accomplish it.

# Tsotsos, S. and Karaoulanis, F.E. and Chatzigogos, T., [http://www.springerlink.com/content/90qx477360284848/ ''A New Concept on the Compressibility of Mixed Soils: Experimental and Numerical Approach''], Geotechnical and Geological Engineering ''(in press)''.
# Panagiotopoulos, C.G. and Manolis, G.D., [http://www.springerlink.com/content/g3579440708j1774/ ''Velocity-based reciprocal theorems in elastodynamics and BIEM implementation issues''], Archive of Applied Mechanics ''(in press)''.
# Paraskevopoulos, E.A. and Panagiotopoulos, C.G. and Manolis, G.D., [http://www.springerlink.com/content/4km5027596858472/ ''Imposition of time-dependent boundary conditions in FEM formulations for elastodynamics: critical assessment of penalty-type methods''], Computational Mechanics, 45(2):157-166, 2010.
# F.E. Karaoulanis, [http://www.nemesis-project.org/resources/publications/An_Efficient_Algorithm_for_Nonsmooth_Multisurface_Plasticity.pdf ''An Efficient Algorithm for Nonsmooth Multisurface Plasticity''], X International Conference on Computational Plasticity, [http://congress.cimne.com/complas09/frontal/default.asp COMPLAS X], CIMNE, Barcelona, 2009.
# F.E. Karaoulanis and T. Chatzigogos, [http://www.nemesis-project.org/resources/publications/Implicit_Numerical_Integration_of_the_Mohr-Coulomb_Surface_in_Principal_Stress_Space.pdf ''Implicit Numerical Integration of the Mohr-Coulomb Surface in Principal Stress Space''], 2nd South-East European Conference on Computational Mechanics, [http://www.seeccm2009.org/ SEECCM-09], Rhodes, 22–24 June 2009, Greece.
# F.E. Karaoulanis [http://www.nemesis-project.org/resources/publications/Nonsmooth_Multisurface_Plasticity_in_Principal_Stress_Space.pdf ''"Nonsmooth Multisurface Plasticity in Principal Stress Space"''], [http://infoseismo.civil.auth.gr/6gracm/ 6th GRACM] International Congress on Computational Mechanics, June 19-21, 2008, Thessaloniki, Greece.
# F.E. Karaoulanis and S. Tsotsos [http://www.nemesis-project.org/resources/publications/Numerical_Analysis_of_Tunnel_Excavations_in_Layered_Soils.pdf ''"Numerical Analysis of Tunnel Excavations in Layered Soils"''], [http://infoseismo.civil.auth.gr/6gracm/ 6th GRACM] International Congress on Computational Mechanics, June 19-21, 2008, Thessaloniki, Greece.
# F.E. Karaoulanis, C.G. Panagiotopoulos, Th. Chatzigogos, [http://www.nemesis-project.org/resources/publications/A_Consistent_Methodology_for_the_Imposition_of_Time_Varying_Boundary_Conditions_in_Soil_Dynamics_Theory_and_Application.pdf ''"A consistent Methodology for the Imposition of Time Varying Boundary Conditions in Soil Dynamics: Theory and Application"''], 4th International Conference on Earthquake Geotechnical Engineering, [http://4icege.org 4ICEGE], June 25-28, 2007, Thessaloniki, Greece.
# S. Arnaouti, F. Karaoulanis and O. Ktenidou, ''"Limiting Values on Earthquake Ground Motion due to Strength of Near-Surface Material"'', 4th International Conference on Earthquake Geotechnical Engineering, [http://4icege.org 4ICEGE], June 25-28, 2007, Thessaloniki, Greece.
# F.E. Karaoulanis, C.G. Panagiotopoulos, E.A. Paraskevopoulos, [http://www.nemesis-project.org/resources/publications/Recent_Developments_In_Finite_Element_Programming.pdf ''"Recent developments in Finite Element programming"''], First South-East European Conference on Computational Mechanics, [http://www.seeccm06.kg.ac.yu/ SEECCM-06], June 28-30, 2006, Kragujevac, Serbia and Montenegro, University of Kragujevac.

[[Category:Participate]]

Reference guide

2007-01-10T20:04:19Z

Fotis:

Soon to be written!

[[Category:Reference guide]]

Examples

2007-01-10T20:01:44Z

Fotis: /* A thick cylinder */

Here you may find (or even upload) examples of using '''nemesis'''.

=A pile under lateral loading=

[[Image:pile1.png|thumb|Initial geometry.]]
[[Image:pile2.png|thumb|Deformed shape.]]

This example studies a pile subjected to a lateral loading.

The example consists of the main file [[Example_pile#Main_file:_pile.slv|pile[ns].dat]] followed by geometry files:
# [[Example_pile#Auxiliary_file:_pile.5Bns.5D.dat|pile[ns].dat]]
# [[Example_pile#Auxiliary_file:_pile.5Bnp.5D.dat|pile[np].dat]]
# [[Example_pile#Auxiliary_file:_pile.5Bnc.5D.dat|pile[nc].dat]]
# [[Example_pile#Auxiliary_file:_pile.5Bes.5D.dat|pile[es].dat]]
# [[Example_pile#Auxiliary_file:_pile.5Bep.5D.dat|pile[ep].dat]]

 

=A pile raft=

[[Image:raft1.png|thumb|Initial geometry.]]
[[Image:raft2.png|thumb|Deformed shape.]]

 

= A dome-shaped lattice framework =
[[Image:dome1.png|thumb|200px|Initial geometry ''(angle view)''.]]
[[Image:dome2.png|thumb|200px|Initial geometry ''(top view)''.]]
[[Image:dome3.png|thumb|200px|Initial geometry ''(side view)''.]]
[[Image:Node_01.png|thumb|200px|Node 01.]]
[[Image:Node_02.png|thumb|200px|Node 02.]]
[[Image:Node_08.png|thumb|200px|Node 08.]]
[[Image:Node_20.png|thumb|200px|Node 20.]]
A dome-shaped lattice framework described in the ''"Handbook of computational solid mechanics"'' by M.Kleiber<ref>M.Kleiber,''"Handbook of computational solid mechanics"'',1998</ref>. Outer nodes are fixed and a nodal load is applied to node 1.
 

=Timoshenko beam=
[[Image:Timoshenko_Example.png|thumb|350px|Shear locking effects in Timoshenko beam.]]
Cantilever beam example, motivated by <ref>O.C. Zienkiewicz & R.L. Taylor, ''"The Finite Element Method for Solids and Structural Mechanics"'', 6th Edition, p307</ref>, demonstrating shear locking effects.
Twenty elements are used for different span L to depth h ratios for a rectangular cross-section. The beams used are the Bernulli-Euler, a 2-node full integration (2 points) Timoshenko beam, a 2-node reduced integration (1 point) Timoshenko beam, a 3-node full integration (3 points) Timoshenko beam and a 3-node reduced integration (2 points) Timoshenko beam. The use of exact integration for the second one, leads to a solution which 'locks' as the beam becomes slender, whereas the reduced integration scheme shows no locking for the range plotted. The results are also given in the following table, where the example can be found [[Example:Timoshenko_Locking|here]].

 

=A thick cylinder=
A thick cylinder under internal pressure using axial symmetry as found in <ref>C. Felippa, ''Advanced Finite Element Methods'', [http://www.colorado.edu/engineering/CAS/courses.d/AFEM.d/AFEM.Ch12.d/AFEM.Ch12.pdf Ch.12], p.15</ref>. The solid lines denote the original configuration.
[[Image:thick_cylinder.png|thumb|A thick cylinder under internal pressure.]]

 

=Examples from transient analyzes=
[[Image:RayleighDamping.png|thumb|300px|Response of a uniaxial element under a sinusoidal load and different Rayleigh damping coefficients.]]
A series of examples including:
* a single uniaxial element under a sinusoidal load in [[Example:Transient 01 | linear analysis]],
* in [[Example:Transient 02 |non-linear analysis]],
* including [[Example:Transient 03 |Rayleigh damping]], or
* a series of uniaxial elements under [[Example:Transient 04 |ground motion uniform excitation]], either a sinusoidal one or reading it from a file.

 

=Notes=
<references/>

[[Category:Examples]]

Use

2007-01-10T19:58:15Z

Fotis: Reverted edits by C4tzeLvare (Talk); changed back to last version by Fotis

This is the place to come if you want help using the ''nemesis'' software. All the content in this section assumes that you have access to a fully setup and working version of ''nemesis'' and are looking for help using it to create some content.

== How to run nemesis ==
''nemesis'' can be run using different ways. These include:
* [[Running from the command line|Running from the command line]].
* [[Running using AutoCad, SciTe and Paraview|Running using AutoCad, SciTe and Paraview]].

==Examples==
You can find lot of examples in the [[Examples|examples]] page. Further you can upload there yours.

==User guide==
A [[User guide|user guide]] is still under development. You may want to contribute if you are feeling that some parts are obsolete/misleading/incomplete.

==Reference guide==
A [[Reference guide|reference guide]] is about to be written. Feel free to start writing some parts.

[[Category:Use]]