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Numerical implementation of a hybrid-mixed finite element model for Reissner–Mindlin plates

✍ Scribed by Eduardo M.B.R. Pereira; João A.T. Freitas

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
231 KB
Volume
74
Category
Article
ISSN
0045-7949

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✦ Synopsis

The implementation of a hybrid-mixed formulation for Reissner±Mindlin stress elements is presented. The stressresultants and the mid-surface displacements in the domain of the element and the displacements on its boundary are simultaneously and independently approximated using Legendre polynomials. The properties of these functions are exploited to derive and encode directly the analytical expressions for all the intervening ®nite elements arrays, thus avoiding numerical integration. As a consequence of orthogonality, the Legendre approximation yields governing systems which can be manipulated using ecient procedures to store, operate and solve highly sparse systems. The analysis of two standard tests is used to illustrate the implementation of the ®nite element formulation.

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