We introduce a thermomechanical model describing dissipative phase transitions with thermal memory in terms of the entropy balance and the principle of virtual power written for microscopic movements. The thermodynamical consistence of this model is verified and existence of solutions is proved for a related initial and boundary value problem.

A phase field model with thermal memory governed by the entropy balance / E. Bonetti, P. Colli, M. Fremond. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 13:11(2003), pp. 1565-1588. [10.1142/S0218202503003033]

A phase field model with thermal memory governed by the entropy balance

E. Bonetti
;
2003

Abstract

We introduce a thermomechanical model describing dissipative phase transitions with thermal memory in terms of the entropy balance and the principle of virtual power written for microscopic movements. The thermodynamical consistence of this model is verified and existence of solutions is proved for a related initial and boundary value problem.
Entropy balance; Existence of solutions; Initial-boundary value problem; Nonlinear integro-differential PDE's system; Phase transitions; Mathematics (all); Applied Mathematics; Modeling and Simulation
Settore MAT/05 - Analisi Matematica
2003
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/472125
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