Discrete nonlinear elastodynamics in a port‐Hamiltonian framework

Abstract We provide a fully nonlinear port‐Hamiltonian formulation for discrete elastodynamical systems as well structure‐preserving time discretization. The governing equations are obtained in variational manner and represent index‐1 differential algebraic equations. Performing an index reduction, one obtains the state space model, which features strains independent next to position velocity. Moreover, hyperelastic material behavior is captured terms of stored energy function. model exhibits passivity losslessness has underlying symmetry yielding conservation angular momentum. perform temporal discretization using midpoint gradient, such that beneficial properties inherited by developed stepping scheme sense. numerical results representative example demonstrated validate findings.