Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures

Abstract

The variational problem on the equilibrium of a two-phase elastic medium is studied for conditions of the Signorini type. The strong convergence of its solutions to single-phase states as the temperature unboundedly increases is proved. A sufficient condition for the existence of phase transition temperatures for one-sided problems is given. A one-dimensional example illustrating the results is presented.