In the present work, 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.
- evolutionary equations
- non-Fourier heat conduction
- Lord-Shulman model
- Green-Lindsay model
- Green-Naghdi model dual-phase-lag model
Mukhopadyay, S., Picard, R., Trostorff, S., & Waurick, M. (2016). On some models in linear thermo-elasticity with rational material laws. Mathematics and Mechanics of Solids, 21(9), 1149-1163. https://doi.org/10.1177/1081286514556014