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

被引：33
作者：
Bonetti, E [1 ]
Colli, P
Fremond, M
机构：
[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
[2] LCPC, Lab Lagrange, Paris, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 11期
关键词：
phase transitions; entropy balance; nonlinear integro-differential PDE's system; initial-boundary value problem; existence of solutions;
D O I：
10.1142/S0218202503003033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1565 / 1588
页数：24
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