WIAS Preprint No. 914, (2004)

A thermoelastic contact problem with a phase transition



Authors

  • Hömberg, Dietmar
  • Khludnev, Alexander

2010 Mathematics Subject Classification

  • 35K85 74N25 74F05 74M15

Keywords

  • Thermoelasticity, phase transition, contact problem

Abstract

We investigate a thermomechanical contact problem with phase transitions. The system of equations consists of a quasistatic momentum balance and a semilinear energy balance. The phase transition is described by an ordinary differential equation. Different mechanical properties of the respective phases are taken care of by a mixture ansatz. We prove the existence of a weak solution and a uniqueness result, the latter only being valid in one space dimension.

Appeared in

  • IMA J. Appl. Math., 71 (2006) pp. 479--495.

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