Skip to Main content Skip to Navigation
Journal articles

A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework

Abstract : We devise and evaluate numerically a Hybrid High-Order (HHO) method for finite plasticity within a logarithmic strain framework. The HHO method uses as discrete unknowns piecewise polynomials of order k 1 on the mesh skeleton, together with cell-based polynomi-als that can be eliminated locally by static condensation. The HHO method leads to a primal formulation, supports polyhedral meshes with non-matching interfaces, is free of volumetric locking, the integration of the behavior law is performed only at cell-based quadrature nodes, and the tangent matrix in Newton's method is symmetric. Moreover, the principle of virtual work is satisfied locally with equilibrated tractions. Various two-and three-dimensional benchmarks are presented, as well as comparison against known solutions with an industrial software using conforming and mixed finite elements.
Complete list of metadata

Cited literature [56 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01978385
Contributor : Nicolas Pignet Connect in order to contact the contributor
Submitted on : Tuesday, May 21, 2019 - 7:56:22 PM
Last modification on : Wednesday, March 24, 2021 - 1:58:08 PM

File

Article_HHO_gdeflog.pdf
Files produced by the author(s)

Identifiers

Citation

Mickaël Abbas, Alexandre Ern, Nicolas Pignet. A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework. International Journal for Numerical Methods in Engineering, Wiley, 2019, ⟨10.1002/nme.6137⟩. ⟨hal-01978385v2⟩

Share

Metrics

Record views

251

Files downloads

622