Behavior of Solutions of One-Sided Variational Problems on Phase Transitions in Continuum Mechanics at High Temperatures
- Autores: Osmolovskii V.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 53, Nº 4 (2019)
- Páginas: 270-280
- Seção: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234656
- DOI: https://doi.org/10.1134/S001626631904004X
- ID: 234656
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Resumo
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.
Sobre autores
V. Osmolovskii
St. Petersburg State University
Autor responsável pela correspondência
Email: viktor.osmolovskii@gmail.com
Rússia, St. Petersburg