On Some Models in Linear Thermo-Elasticity with Rational Material Laws

TL;DR

This paper develops a unified framework for analyzing linear thermo-elasticity models, enabling the derivation of well-posedness results for a broad class of materials with complex properties like anisotropy and inhomogeneity.

Contribution

It introduces a structural approach that generalizes existing models, allowing for more flexible material laws in linear thermo-elasticity.

Findings

Established well-posedness for generalized thermo-elastic models

Unified framework accommodates anisotropic and inhomogeneous materials

Enhanced understanding of model stability and solution behavior

Abstract

We shall consider some common models in linear thermo-elasticity within a common structural framework. Due to the flexibility of the structural perspective we will obtain well-posedness results for a large class of generalized models allowing for more general material properties such as anisotropies, inhomogeneities, etc.