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Structural Engineering and Mechanics Volume 5, Number 4, July 1997 , pages 471-490 DOI: https://doi.org/10.12989/sem.1997.5.4.471 |
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The patch tests and convergence for nonconforming Mindlin plate bending elements |
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Park YM, Choi CK
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| Abstract | ||
| In this paper, the classical Irons\' patch tests which have been generally accepted for the convergence proof of a finite element are performed for Mindlin plate bending elements with a special emphasis on the nonconforming elements. The elements considered are 4-node and 8-node quadrilateral isoparametric elements which have been dominantly used for the analyses of plate bending problems. It was recognized from the patch tests that some nonconforming Mindlin plate elements pass all the cases of patch tests even though nonconforming elements do not preserve conformity. Then, the clues for the Mindlin plate element to pass the Irons\' patch tests are investigated. Also, the convergent characteristics of some nonconforming Mindlin plate elements that do not pass the Irons\' patch tests are examined by weak patch tests. The convergence tests are performed on the benchmark numerical problems for both nonconforming elements which pass the patch tests and which do not. Some conclusions on the relationship between the patch test and convergence of nonconforming Mindlin plate elements are drawn. | ||
| Key Words | ||
| nonconforming Mindlin plate element, Irons\' patch tests, weak patch test, convergence requirement | ||
| Address | ||
| Park YM, RES INST IND SCI & TECHNOL,STEEL STRUCT TECHNOL DIV,SEOUL 135777,SOUTH KOREA KOREA ADV INST SCI & TECHNOL,DEPT CIVIL ENGN,TAEJON 305701,SOUTH KOREA | ||