Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures
- Авторы: Osmolovskii V.1
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Учреждения:
- St. Petersburg State University
- Выпуск: Том 53, № 4 (2019)
- Страницы: 270-280
- Раздел: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234656
- DOI: https://doi.org/10.1134/S001626631904004X
- ID: 234656
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Аннотация
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.
Об авторах
V. Osmolovskii
St. Petersburg State University
Автор, ответственный за переписку.
Email: viktor.osmolovskii@gmail.com
Россия, St. Petersburg