A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension

DOI10.1090/S1061-0022-2011-01181-1zbMath1382.74096MaRDI QIDQ3104495

Viktor G. Osmolovskii

Publication date: 14 December 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existencelower semicontinuityfree surfacenonconvex variational problem

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Crystals in solids (74N05)

Related Items (7)

Phase transition temperatures for variational problem on equilibrium of a two-phase medium with constraints ⋮ Computation of phase transition temperatures for anisotropic model of a two-phase elastic medium ⋮ Quasiconvex hull of energy densities in a homogeneous isotropic two-phase elastic medium and solutions of the original and relaxed problems ⋮ Mathematical problems of the theory of phase transitions in continuum mechanics ⋮ Phase transitions in two-phase media with the same moduli of elasticity ⋮ Description of the set of all solutions to the relaxed problem for a homogeneous isotropic two-phase elastic medium ⋮ Temperatures of phase transitions and quasiconvex hull of energy functionals for a two-phase elastic medium with anisotropic residual strain tensor

Cites Work

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• On the phase transition temperature in a variational problem of elasticity theory for two-phase media
• An existence theorem and weak Lagrange equations for a variational problem of the theory of phase transitions
• Existence of Phase Transitions Temperatures of a Nonhomogeneous Anisotropic Two-Phase Elastic Medium
• Phase Transition in the Mechanics of Continuous Media for Big Loading

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