A model of phase transitions in problems of the mechanics of a continuous medium is considered, which goes back to Gibbs [1] and was further developed in [2-5]. An extension of the variational formulation of the problem is proposed, which makes it possible to prove a theorem on the existence of a global maximum of the energy functional for a thermoelastic medium for certain restrictions on the specific energy density.

Original languageEnglish
Pages (from-to)889-896
Number of pages8
JournalJournal of Applied Mathematics and Mechanics
Volume58
Issue number5
DOIs
StatePublished - 1 Jan 1994

    Scopus subject areas

  • Mechanical Engineering
  • Applied Mathematics
  • Mathematical Physics
  • Modelling and Simulation

ID: 42743600