A novel mixed and energy‐momentum consistent framework for coupled nonlinear thermo‐electro‐elastodynamics

Abstract A novel mixed framework and energy‐momentum consistent integration scheme in the field of coupled nonlinear thermo‐electro‐elastodynamics is proposed. The environment primarily based on a for elastodynamics case polyconvex strain energy functions. For this elastodynamic framework, properties so‐called tensor cross product are exploited to derive formulation via Hu‐Washizu type extension function. Afterwards, general path incorporate nonpotential problems formulations demonstrated. To end, strong form derived supplemented with balance as well Maxwell's equations neglecting magnetic time dependent effects. By additionally choosing an appropriate function, procedure leads fully thermo‐electro‐elastodynamic which benefits from underlying framework. In addition, proposed facilitates design new by employing discrete derivatives sense Gonzalez. one‐step second‐order accuracy obtained shown be stable even large steps. Eventually, performance demonstrated several numerical examples.