2D beam MMS: plane stress validation under distributed load (SOFA vs FreeFEM)#35
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Summary
Adds the plane stress counterpart to the existing plane strain distributed-load
validation for the 2D cantilever beam. No analytical solution is available for
this loading case, so validation is performed via cross-comparison between SOFA
and FreeFEM++ on the shared
beam2d_tri.mshmesh.beam2d_tri.msh)LinearSmallStrainFEMForceFieldwith
template="Vec2d", and on the FreeFEM side vialambda = E*nu / (1 - nu^2)in the weak form.as consistent nodal forces (1/3 per node per triangle, integrated over element area).
Results
| Quantity | RMS (SOFA vs FreeFEM) |
|
u_x| 1.006825e-12 ||
u_y| 5.512254e-12 |