Existence of Phase Transitions Temperatures of a Nonhomogeneous Anisotropic Two-Phase Elastic Medium

DOI10.1007/s10958-005-0510-7zbMath1099.49012OpenAlexW2087010738MaRDI QIDQ3409519

Viktor G. Osmolovskii

Publication date: 17 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10958-005-0510-7

zbMATH Keywords

variational problemcalculus of variationsfunctional of energy deformationquadratic energy density

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Micromechanical theories (74A60) Phase transformations in solids (74N99)

Related Items (7)

Computation of phase transition temperatures for anisotropic model of a two-phase elastic medium ⋮ Mathematical problems of the theory of phase transitions in continuum mechanics ⋮ On the phase transition temperature in a variational problem of elasticity theory for two-phase media ⋮ Independence of temperatures of phase transitions of the domain occupied by a two-phase elastic medium ⋮ The role of one-phase states for a two-phase elastic medium ⋮ On the nonexistence zone of one-phase equilibrium states of a phase transition problem of continuum mechanics in the case of nonconstant temperature fields ⋮ A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension

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