Thermodynamic Approach to Generalized Continua

TL;DR

This paper develops a thermodynamic framework for generalized continua, deriving governing equations and connecting them to rheological models, with experimental validation and predictions beyond traditional methods.

Contribution

It introduces a thermodynamic derivation of dissipative generalized solid mechanics equations using the Liu procedure, linking to Ginzburg-Landau evolution and rheology models.

Findings

Derived governing equations for dissipative generalized solids.

Connected thermodynamic models to Ginzburg-Landau evolution.

Provided experimental confirmations and extended predictions.

Abstract

Governing equations of dissipative generalized solid mechanics are derived by thermodynamic methods in the Piola-Kirchhoff framework using the Liu procedure. The isotropic small strain case is investigated in more detail. The connection to the Ginzburg-Landau type evolution, dual internal variables, and a thermodynamic generalization of the standard linear solid model of rheology is demonstrated. Specific examples are chosen to emphasize experimental confirmations and predictions beyond less general approaches.