Based on fundamental considerations for the ®nite element analysis of shells, we evaluate in the present paper the performance of the MITC general shell elements. We give the results obtained in the analysis of judiciously selected test problems and conclude that the elements are eective for general engineering applications. #
We present an inf-sup test for general mixed shell ®nite element discretizations. The test is useful in the thorough evaluation of a shell ®nite element discretization scheme. We apply the test to the MITC shell elements and ®nd that these elements pass the test. 7
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 ÿnite 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 speciÿc 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 ÿnd that the MITC elements pass our numerical test for uniform meshes and a sequence of distorted meshes. ?
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 ÿnite element scheme is, in general, very diicult to evaluate analytically, considering for example distorted meshes. Therefore, we develop a numerical test methodology. To demonstrate the test methodology and to obtain speciÿc 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 ÿnd that the MITC elements pass our numerical test for uniform meshes and a sequence of distorted meshes. ?
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