WIAS Preprint No. 666, (2001)

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



Authors

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

2010 Mathematics Subject Classification

  • 35K45 35K50 74N15 74N20 74N25 74M25

Keywords

  • Free boundary value problems, phase-field models, phase transitions in mechanical stress fields, a priori estimates, existence, uniqueness

Abstract

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.

Appeared in

  • Phys. D, 165 (2002), pp. 48--65

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