The formulation and an existence theorem for a variational problem on phase transitions in continuous medium mechanics

DOI10.1016/0021-8928(94)90014-0zbMath0921.73038OpenAlexW1976584537MaRDI QIDQ1369943

Viktor G. Osmolovskii, Nikita F. Morozov

Publication date: 3 November 1997

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(94)90014-0

zbMATH Keywords

energy functionalglobal maximumthermoelastic medium

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Optimization of other properties in solid mechanics (74P10) Existence theories for free problems in two or more independent variables (49J10)

Related Items (3)

The effect of a penalty term involving higher order derivatives on the distribution of phases in an elastic medium with a two‐well elastic potential ⋮ Isoperimetric inequality and equilibrium states of a two-phase medium ⋮ The effect of a surface energy term on the distribution of phases in an elastic medium with a two‐well elastic potential

Cites Work

• Solid phase seeds in a deformable material
• Fine phase mixtures as minimizers of energy
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