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We present a unified framework for the study of wave propagation inhomogeneous linear thermo-visco-elastic (TVE) continua, starting fromconservation laws. In free-space such media admit two thermo-compressionalmodes and a shear mode. We provide asymptotic approximations to thecorresponding wavenumbers which facilitate the understanding of dispersion ofthese modes, and consider common solids and fluids as well as soft materialswhere creep compliance and stress relaxation are important.  We further illustrate how commonly used simpler acoustic/elastic dissipativetheories can be derived via particular limits of this framework. Consequently,our framework allows us to: i) simultaneously model interfaces involving bothfluids and solids, and ii) easily quantify the influence of thermal or viscouslosses in a given configuration of interest.  As an example, the general framework is applied to the canonical problem ofscattering from an interface between two TVE half spaces in perfect contact. Toillustrate, we provide results for fluid-solid interfaces involving air, water,steel and rubber, paying particular attention to the effects of stressrelaxation.

A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation