Anisotropic Validation of Hexahedral Meshes for Composite Materials in Biomechanics
Muller-Hannemann, Matthias, Cornelia Kober, Robert Sader, Hans-Florian Zeilhofer
Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.249-260, October 7-10 2001
Dr. Matthias Muller-Hannemann
Dr. Cornelia Kober
PD Dr. Dr. Robert Sader, PD Dr. Dr. Hans-Florian Zeilhofer
We constructed hexahedral meshes of varying size, with an increasing number of elements in the neighborhood of the external force of our load case. For the hexahedral mesh generation, we used the iterative cycle elimination method of the first author together with squared condition number based optimized smoothing.
In this paper, we focus on the deformation as the post-processing variable. In our experiments, it seems that the solution of the FEA converges relatively fast with an increasing number of elements.
Our methodology to investigate the influence of the mesh quality on several post-processing variables is a systematic variation of the mesh quality by means of a controlled perturbation of an optimized mesh with a fixed mesh topology. The influence of mesh quality on the analysis results turns out to be relatively small. Even the mesh of poorest quality is within a range of not more than four percent from the results of our best quality mesh.
Concerning the analysis of a possible interdependence between numerical behavior and material law, we observed that the fully anisotropic (and so the most realistic) case shows also the best numerical behavior.
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