A Hybrid High-Order method for incremental associative plasticity with small deformations
For computational mechanics researchers, this method offers a flexible, locking-free approach for plasticity on complex meshes, but it is an incremental extension of existing HHO techniques.
The paper presents a Hybrid High-Order (HHO) method for incremental associative plasticity with small deformations, demonstrating accuracy and robustness on polyhedral meshes without volumetric locking. Numerical tests show good agreement with reference solutions and industrial software.
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 $k\ge1$ 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.