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

作者：Abbas, Mickael; Ern, Alexandre; Pignet, Nicolas^*

来源：Computer Methods in Applied Mechanics and Engineering, 2019, 346: 891-912.

DOI：10.1016/j.cma.2018.08.037

• Associative plasticity
• Hybrid high-order methods
• Polyhedral meshes

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 polynomials 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.

• 出版日期2019-4-1
• 单位中国地震局; INRIA