A locking-free Reissner-Mindlin quadrilateral element |
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| Authors: | Huo-Yuan Duan Guo-Ping Liang |
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| Institution: | Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China ; Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China |
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| Abstract: | On arbitrary regular quadrilaterals, a new finite element method for the Reissner-Mindlin plate is proposed, where both transverse displacement and rotation are approximated by isoparametric bilinear elements, with local bubbles enriching rotation, and a local reduction operator is applied to the shear energy term. This new method gives optimal error bounds, uniform in the thickness of the plate, for both transverse displacement and rotation with respect to  and  norms. |
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| Keywords: | Reissner-Mindlin plates finite element method |
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