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On large deformations of thin elasto-plastic shells: Implementation of a finite rotation model for quadrilateral shell element. (English) Zbl 0892.73055
The objectives of this dense paper are: 1. the development of a large-deformation model for thin shells constituted by elasto-plastic material (this model combines two-dimensional Cosserat continuum techniques, von Mises yield criterion and isotropic hardening). Attention is restricted to infinitesimal strains, but unrestricted rotations; 2. the approximation by four-noded isoparametric elements. The nonlinearities are treated by Newton-Raphson numerical procedure. The robustness and efficiency of this approach are illustrated by several numerical examples: failure analysis of the Scordelis-Lo roof, elasto-plastic buckling of cylindrical shell, and pinched elasto-plastic cylinder with isotropic hardening.

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
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