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Innovative finite element methods for plates. (English) Zbl 0757.73048
Summary: Finite element methods for the Reissner-Mindlin plate theory are discussed. Methods in which both the transverse displacement and the rotation are approximated by finite elements of low degree mostly suffer from locking. However a number of related methods have been devised recently which avoid locking effects. Although the finite element spaces for both the rotation and transverse displacement contain little more than piecewise linear functions, optimal order convergence holds uniformly in the thickness. The main ideas leading to such methods are reviewed and the relationships between various methods are clarified.

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates