A Hybrid High-Order method for incremental associative plasticity with small deformations

Abstract : We devise and evaluate numerically a Hybrid High-Order (HHO) method for incremental associative plasticity with small deformations. The HHO method uses as discrete unknowns piecewise polynomials of order k ≥ 1 on the mesh skeleton, together with cell-based poly-nomials that can be eliminated locally by static condensation. The HHO method supports polyhedral meshes with non-matching interfaces, is free of volumetric-locking and the integration of the behavior law is performed only at cell-based quadrature nodes. Moreover, the principle of virtual work is satisfied locally with equilibrated tractions. Various two-and three-dimensional test cases from the literature are presented including comparison against known solutions and against results obtained with an industrial software using conforming and mixed finite elements.
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Soumis le : mardi 7 août 2018 - 14:33:32
Dernière modification le : mercredi 31 octobre 2018 - 12:44:37

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  • HAL Id : hal-01768411, version 3

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Mickaël Abbas, Alexandre Ern, Nicolas Pignet. A Hybrid High-Order method for incremental associative plasticity with small deformations. 2018. 〈hal-01768411v3〉

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