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On mixed finite element methods for the Reissner-Mindlin plate model. (English) Zbl 0763.73054
Summary: We analyze the convergence of mixed finite element approximations to the solution of the Reissner-Mindlin plate problem. We show that several known elements fall into our analysis, thus providing a unified approach. We also introduce a low-order triangular element which is optimal-order convergent uniformly in the plate thickness.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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