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OptFEM2D Toolbox for Matlab
V1.2b1
Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D
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Assembly of the Stiffness Elasticity Matrix by -Lagrange finite elements using "OptV2" version (see report).
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Go to the source code of this file.
Functions | |
function R = | StiffElasAssemblingP1OptV2 (nq, nme, q, me, areas, lambda, mu, Num) |
Assembly of the Stiffness Elasticity Matrix by ![]() | |
Assembly of the Stiffness Elasticity Matrix by -Lagrange finite elements using "OptV2" version (see report).
Definition in file StiffElasAssemblingP1OptV2.m.
function R = StiffElasAssemblingP1OptV2 | ( | nq, | |
nme, | |||
q, | |||
me, | |||
areas, | |||
lambda, | |||
mu, | |||
Num | |||
) |
Assembly of the Stiffness Elasticity Matrix by -Lagrange finite elements using "OptV2" version (see report).
The Stiffness Elasticity Matrix is given by
where are vectors field
-Lagrange basis functions. Here
and
are the elastic stress and strain tensors respectively.
Th=SquareMesh(10); KK=StiffElasAssemblingP1OptV2(Th.nq,Th.nme,Th.q,Th.me,Th.areas,lambda,mu,Num);
OptFEM2DP1 [V1.2b1] - Copyright (C) 2013 CJS (LAGA)
This file is part of OptFEM2DP1. OptFEM2DP1 is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
OptFEM2DP1 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/.
nq | total number of nodes in the mesh, also denoted by ![]() |
nme | total number of triangles, also denoted by ![]() |
q | Array of vertices coordinates, ![]() ![]() ![]() ![]() ![]() ![]() |
me | Connectivity array, ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
areas | Array of areas, ![]() ![]() |
lambda | the first Lame coefficient in Hooke's law |
mu | the second Lame coefficient in Hooke's law |
Num |
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K | ![]() |
Definition at line 17 of file StiffElasAssemblingP1OptV2.m.