Two ways of taking into account surface energy in thermoelastic problems with phase transitions

Research output

Abstract

In the present paper, two ways of taking into account surface energy in thermoelastic problems with phase transitions are presented. In the first way, surface energy is considered proportional to the area of the interphase boundary. In the second way, surface energy is taken into account in an indirect fashion, as an integral of higher derivatives of the field of displacements. The similarity and differences of the dependence of the equilibrium states on the parameters for the two different methods of regularization are studied.

Original languageEnglish
Pages (from-to)1940-1949
Number of pages10
JournalJournal of Mathematical Sciences
Volume109
Issue number5
DOIs
Publication statusPublished - 1 Jan 2002

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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