On a model for phase separation in binary alloys driven by mechanical effects

被引:35
作者
Bonetti, E
Colli, P
Dreyer, W
Gilardi, G
Schimperna, G
Sprekels, J
机构
[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
[2] Weierstrss Inst Angew Anal & Sotchast, D-10117 Berlin, Germany
关键词
systems of partial differential equations; existence and uniqueness; linear elasticity; mixture effects; Cahn-Hilliard equation;
D O I
10.1016/S0167-2789(02)00373-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work is concerned with the mathematical analysis of a system of partial differential equations modeling the effect of phase separation driven by mechanical actions in binary alloys like tin/lead solders. The system combines the (quasistationary) balance of linear momentum with a fourth-order evolution equation of Cahn-Hilliard type for the phase separation, and it is highly nonlinearly coupled. Existence and uniqueness results are shown. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:48 / 65
页数:18
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