Acceleration waves in thermoelastic complex media with temperature-dependent phase fields

We present a general treatment of acceleration waves in complex materials (those with active microstructure) undergoing internal constraints that link a manifold-valued phase-field describing a generic material microstructure at a certain spatial scale to temperature, a choice leading to hyperbolic heat conduction even in the absence of macroscopic strain. Specifically, we show how such constraint influences the way acceleration waves propagate. It reduces the scheme to a thermoelasticity theory that is compatible with dependence of the free energy on temperature gradient (a dependence otherwise forbidden).