Structure-Preserving Discretization in the Framework of a Discrete Model Problem for Large-Strain Thermo-Viscoelasticity

Abstract

The design of structure-preserving integrators is dealt with in the framework of a discrete model problem for large-strain thermo-viscoelasticity. The evolution equations pertaining to the model problem are cast in the framework of GENERIC. The GENERIC formalism provides an ideal foundation for the design of energy-momentum-entropy (EME) consistent time-stepping schemes. An analogous approach can be applied to the full continuum model for large-strain thermo-viscoelasticity.

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