1,720,976 research outputs found
Configurational Forces and Coherent Phase Transtition Fronts in electromagneto-thermo-elastic solids
It is shown the the progress of an electrostatic coherent phase-transition front manifests itself through a localized surface heat source. This is obtained by evaluating the power expanded by the surface configurational force that drives the front. The necessary non-negativeness of this source imposes a thermodynamic restriction on the kinetics of the front (a criterion of progress
Note on a mixed variational principle in finite elasticity
In the present context the variation is performed keeping the deformed configuration fixed, while a suitable material stress tensor S and the material coordinates are required to vary independently from one another. The variational principle turns out to be equivalent to an equilibrium problem of placements and tractions at the boundary of a body of finite extent
Driving Force in Phase-Transition Fronts in Thermo-electrostatic Crystals.
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
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