OpenFOAM stress analysis results are showing 8-10% error with analytical solution.
Hello everyone,
I am running solidDisplacementFoam problem for thermal stress analysis. My solution is converged but not showing good agreement with analytical solution. Simulation results shows 8-10% error with analytical solution. Does 8-10% error is fine for solid problems? Has anybody an idea? Regards, Sangeeta |
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Hi Sangeeta,
I presume you are referring to the "hollow cylinder with internal temperature" case as described by Timoshenko, Theory of Elasticity. I tried this case and I found that the errors become very small (much much less than 1%) as you refine the mesh. I have attached an graph showing a comparison between the results from a coarse and fine mesh. To answer your question about "is 8-10% error ok?", in general for solid mechanics, it depends on the assumptions made in the analytical solutions (and in the numerical model). But for relatively straight-forward linear elastic and thermal elastic, the results should be very close to the analytical, especially as the mesh is refined. Hope it helps, Philip |
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Thanks a lot for the reply. Actually here I am solving another problem of thermal stresses for OpenFOAM validation. This problem is given in Timoshenko (page no. 399). This is for a rectangular plate. I am going to email this case to you. Thanks, Sangeeta |
hollow cylinder with internal temperature
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hello
I have tried to resolve the problem of the title, that is also a case of the tutorial, by subjecting the 2D cylinder to the following boundary conditions: for temperature T=100 in the hollow and T=0 at the outer patch, for displacement D=0 tractionDisplacement (traction and pressure). The results looks not as accurate as the ones of Dr. Cardiff/analytical case that I have seen in this forum, even if I try to refine the grid. Did somebody try the same tutorial case recently? Thanks Cheers Guido |
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