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Driving Force on Phase Transition Fronts in Thermoelectroelastic Crystals

Laboratoire de Modlisation en Mcanique (URA CNRS 229), Universit Pierre et Marie Curie, Tour 66, 4 place Jussieu, Case 162, 75252 Paris Cdex 05, France

C. Trimarco

Dipartimento di Matematica Applicata "U.Dini," Universit di Pisa, Via Bonanno 25 B, 56126 Pisa, Italy

Starting from known physical balance laws and constitutive equations, this work develops in a rational number the canonical balance laws of momentum and energy at both regular and singular material points. This is achieved in the framework of the quasi-electrostatics of thermoelectroelastic crystals, with a view to providing a sound basis for the study of electroelastic fracture, and of the propagation of phase transition fronts. The latter receive special attention with the formulation of a true thermomechanics in which it is shown that a hot surface heat source develops at thermodynamically irreversible points of progress of such fronts. The expression of the driving force acting on such fronts in these conditions is obtained in terms of the relevant Hugoniot-Gibbs functional. This provides the basis for the formulation of simple criteria of progress of the front.

Mathematics and Mechanics of Solids, Vol. 2, No. 2, 199-214 (1997)
DOI: 10.1177/108128659700200207


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