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).
Acceleration waves in thermoelastic complex media with temperature-dependent phase fields / Giovine, Pasquale; Mariano, P. M.; Mugnaioni, Federica. - In: MECCANICA. - ISSN 1572-9648. - (In corso di stampa).
Acceleration waves in thermoelastic complex media with temperature-dependent phase fields
Pasquale GIOVINE;
In corso di stampa
Abstract
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.