On evaluating the inf–sup condition for plate bending elements
✍ Scribed by Alexander Iosilevich; Klaus-Jürgen Bathe; Franco Brezzi
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 321 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
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. ?