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Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures
Functional Analysis and Its Applications ( IF 0.6 ) Pub Date : 2020-01-27 , DOI: 10.1134/s001626631904004x
V. G. Osmolovskii

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.

中文翻译:

高温连续介质力学中一阶变分问题解的行为

研究了Signorini型条件下两相弹性介质平衡的变分问题。证明了随着温度的无限升高,其对单相态的强收敛性。给出了一个足以解决单面问题的相变温度的条件。给出了说明结果的一维示例。
更新日期:2020-01-27
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