Temperatures of phase transitions and quasiconvex hull of energy functionals for a two-phase elastic medium with anisotropic residual strain tensor

DOI10.1007/s10958-015-2246-3zbMath1329.74023OpenAlexW2033478944MaRDI QIDQ2356547

Viktor G. Osmolovskii

Publication date: 30 July 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2246-3

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Mathematical problems of the theory of phase transitions in continuum mechanics ⋮ Quasistationary phase transition problem in two-phase media. One-dimensional case. The zero surface stress coefficient ⋮ A criterion for the coincidence of the phase transition temperatures in the variational problem on the equilibrium of a two-phase elastic medium

Cites Work

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• An existence theorem and weak Lagrange equations for a variational problem of the theory of phase transitions
• Independence of temperatures of phase transitions of the domain occupied by a two-phase elastic medium
• On non quasiconvex problems of the calculus of variations
• A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension
• Direct methods in the calculus of variations

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