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A locking-free scheme of nonconforming rectangular finite element for the planar elasticity. (English) Zbl 1088.74046
Summary: We present a locking-free scheme of the lowest order for nonconforming rectangle finite element method for planar elasticity with the pure displacement boundary condition. Optimal order error estimate, uniform in the Lamé constant \(\lambda\in(0,\infty)\), is obtained.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
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