On a model for phase separation in binary alloys driven by mechanical effects. (English) Zbl 1008.74066

Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen

Physica D 165, No. 1-2, 48-65 (2002).

Summary: This work is concerned with 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 phase separation, and it is highly nonlinearly coupled. Existence and uniqueness results are shown.

MSC:

74N20	Dynamics of phase boundaries in solids
35Q72	Other PDE from mechanics (MSC2000)

Keywords:

quasistationary balance of linear momentum; mechanical effects; fourth-order Cahn-Hilliard type evolution equation; phase separation; binary alloys; existence; uniqueness; linear elasticity; mixture effect

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