Energy‐momentum consistent time integration scheme for non‐linear electro‐elastodynamics

Abstract

AbstractIn this work we present a new approach to the design of energy‐momentum (EM) consistent algorithms inspired by the structure of polyconvex internal energy functions (see [1]) and tailor‐made for the consistent space‐time discretization of electro‐active polymers (EAPs). A Hu‐Washizu‐type mixed variational framework with a novel cascade form of kinematic constraints [2] along with the concept of partitioned discrete derivatives leads to a structure‐preserving time integrator, which shows superior numerical stability and robustness. This work can be seen as an extension of [1] to mixed formulations in the sense of [2].