• Media type: E-Book; Report; Text
  • Title: On a model for phase separation in binary alloys driven by mechanical effects
  • Contributor: Bonetti, Elena [Author]; Colli, Pierluigi [Author]; Dreyer, Wolfgang [Author]; Gilardi, Gianni [Author]; Schimperna, Giulio [Author]; Sprekels, Jürgen [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2001
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.666
  • Keywords: article ; 35K45 ; 74N20 ; 74N25 ; Free boundary value problems -- phase-field models -- phase transitions in mechanical stress fields -- a priori estimates -- existence -- uniqueness ; 35K51 ; 74N15 ; 74M25
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  • Description: 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.
  • Access State: Open Access