Matlab: 2d linear elasticity PDE

17 次查看(过去 30 天)
Pro B
Pro B 2017-6-22
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!

回答(2 个)

Alan Weiss
Alan Weiss 2017-6-22
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
  2 个评论
Pro B
Pro B 2017-6-23
Is it also possible to set the third dimension equal to 0?
Alan Weiss
Alan Weiss 2017-6-23
I don't know, sorry. I suspect not, but feel free to try.
Alan Weiss
MATLAB mathematical toolbox documentation

请先登录,再进行评论。


Precise Simulation
Precise Simulation 2017-8-24
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 .

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by