|May 3, 2013, 18:16||
Plane stress and plane strain cases for stress analysis
Join Date: Jul 2012
Location: Kingston, Canada
Posts: 70Rep Power: 4
I am doing stress-stain analysis in a 3D geometry. First I started with solid cube block. In solidDisplacementFoam constant/mechanicalProperties mentions:
rho rho [ 1 -3 0 0 0 0 0 ] 5163;
nu nu [ 0 0 0 0 0 0 0 ] 0.32;
E E [ 1 -1 -2 0 0 0 0 ] 215e+09;
If I set planeStress to yes, it works for 2D (i.e. X and Y directions) and when I use
It works for 3D.
I am using following boundary conditions for the solid cube:
tractiondisplacement normal to the top surface (y-direction), bottom surface is fixedDisplacement (y-direction), and other surfaces are considered as free surfaces.
For 2D block deformations will take place only X and Y directions. I have set plane stress to "yes" condition for 2D block.
For 3D solid block, traction loading is in y-direction on top surface (i.e. normal to the top surface), bottom surface is fixed, and other surfaces are considered as free surfaces. Here I have set plane stress to "no" (means plane strain condition).
In both situations, I my OpenFOAM solution matches to analytic solution.
But when I am using loading in z-direction, with following boundary conditions:
front surface (this surface is in z-direction) have traction loading in z direction (i.e. normal to the surface), back surface is fixed, and other surfaces are considered as free surfaces. In this case, I have used both plane stress and plane strain conditions but OpenFOAM solution did not match to the analytic solution.
How I can set this problem? As it says from the definition of plane stress condition that plane stress condition is used when body is subjected to transverse loading. Does in mean z-direction loading or shear stresses in each direction? Which condition would be more suitable for loading in z-direction?
I appreciate if anyone of you have any suggestion.
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