Energy-Momentum Scheme For Nonlinear Thermo-Electro-Elastodynamics

Abstract

. The present contribution aims at the consistent discretisation of nonlinear, coupled thermo-electro-elastodynamics. In that regard, a new one-step implicit and thermodynamically consistent energy-momentum integration scheme for the simulation of thermo-electro-elastic processes undergoing large deformations will be presented. The consideration is based upon polyconvexity inspired, constitutive models and a new tensor cross product algebra, which facilitate the design of the so-called discrete derivatives (for more information it is referred to the pioneering works [3, 2]). The discrete derivatives are fundamental for the algorithmic evaluation of stresses and other derived variables like entropy density or the absolute temperature leading to a structure preserving integration scheme. In particu-lar, recently published works of the authors concerning consistent time integration of large deformation thermo-elastodynamics