On Evaluating the Inf–sup Condition for Plate Bending Elements
نویسندگان
چکیده
This paper addresses the evaluation of the inf–sup condition for Reissner–Mindlin plate bending elements. This fundamental condition for stability and optimality of a mixed nite element scheme is, in general, very di cult to evaluate analytically, considering for example distorted meshes. Therefore, we develop a numerical test methodology. To demonstrate the test methodology and to obtain speci c results, we apply it to standard displacement-based elements and elements of the MITC family. Whereas the displacement-based elements fail to satisfy the inf–sup condition, we nd that the MITC elements pass our numerical test for uniform meshes and a sequence of distorted meshes. ? 1997 John Wiley & Sons, Ltd. Int. J. Numer. Meth. Engng., 40, 3639–3663 (1997) No. of Figures: 8. No. of Tables: 0. No. of References: 19.
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