We analyze homothermal acceleration waves in complex materials (those with active micro- structure) in the presence of an internal constraint that links the temperature to a manifold-valued phase-field describing a generic material microstructure at a cer- tain spatial scale. Such a constraint leads to hyperbolic heat conduction even in the absence of macroscopic strain; we show how it influences the way acceleration waves propagate. The scheme describes a thermoe- lastic behavior that is compatible with dependence of the free energy on temperature gradient (a dependence otherwise forbidden by the second law of thermody- namics in the traditional non-isothermal description of simple bodies). We eventually provide examples in which the general treatment that we develop applies.
Acceleration waves in thermoelastic complex media with temperature‐dependent phase fields / Pasquale Giovine; Paolo Maria Mariano; Federica Mugnaioni. - In: MECCANICA. - ISSN 1572-9648. - STAMPA. - (In corso di stampa), pp. 1-19. [10.1007/s11012-024-01792-4]
Acceleration waves in thermoelastic complex media with temperature‐dependent phase fields
Paolo Maria Mariano
;Federica Mugnaioni
In corso di stampa
Abstract
We analyze homothermal acceleration waves in complex materials (those with active micro- structure) in the presence of an internal constraint that links the temperature to a manifold-valued phase-field describing a generic material microstructure at a cer- tain spatial scale. Such a constraint leads to hyperbolic heat conduction even in the absence of macroscopic strain; we show how it influences the way acceleration waves propagate. The scheme describes a thermoe- lastic behavior that is compatible with dependence of the free energy on temperature gradient (a dependence otherwise forbidden by the second law of thermody- namics in the traditional non-isothermal description of simple bodies). We eventually provide examples in which the general treatment that we develop applies.File | Dimensione | Formato | |
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