Development of a stabilised Petrov-Galerkin formulation for low-order tetrahedral meshes in Lagrangian fast solid dynamics

Abstract

A stabilised low-order finite element methodology is presented for the numerical simulation of a mixed conservation law formulation in fast solid dynamics. The mixed formulation, where the unknowns are linear momentum, deformation gradient and total energy, can be cast in the form of a system of first order hyperbolic equations. The difficulty associated… (More)

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