Matlab: 2d linear elasticity PDE

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Pro B
Pro B on 22 Jun 2017
Answered: Precise Simulation on 24 Aug 2017
I am trying to solve a PDE with Matlab. It's the 2-dimensional linear isotropic elasticity equation over a rectangle. Matlab only has the function to solve linear elasticity PDE in 3 dimensions: elasticityC3D(E,nu), so I'm kind of stuck. Any tips on how I might proceed? Thanks! I can provide the exact equations if necessary!

Answers (2)

Alan Weiss
Alan Weiss on 22 Jun 2017
You can find the theoretical information here. A worked example using this theory is here. Because it is symmetric, the c coefficient is given in 2N(2N+1)/2-Element Column Vector c, 2-D Systems form.
Alan Weiss
MATLAB mathematical toolbox documentation
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Alan Weiss
Alan Weiss on 23 Jun 2017
I don't know, sorry. I suspect not, but feel free to try.
Alan Weiss
MATLAB mathematical toolbox documentation

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Precise Simulation
Precise Simulation on 24 Aug 2017
2D linear elasticity (plane stress, plane strain, and axisymmetric stress-strain) for small displacements are available as pre-defined physics modes in the FEATool Multiphysics FEM toolbox . See for example the thin plate with hole tutorial stress-strain benchmark example .

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