The volume fraction of one of the phases in equilibrium two-phase elastic medium

DOI10.1007/S10958-018-4122-4zbMath1454.74047OpenAlexW2902173077MaRDI QIDQ2414607

Viktor G. Osmolovskii

Publication date: 17 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10958-018-4122-4

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Inverse problems in equilibrium solid mechanics (74G75)

Related Items (5)

Phase transition temperatures for variational problem on equilibrium of a two-phase medium with constraints ⋮ Equilibrium energies of layered composite and two-phase media under periodic and zero boundary conditions on displacement fields ⋮ Phase transitions in two-phase media with the same moduli of elasticity ⋮ A criterion for the coincidence of the phase transition temperatures in the variational problem on the equilibrium of a two-phase elastic medium ⋮ Model variational phase transition problem in continuum mechanics

Cites Work

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• Independence of temperatures of phase transitions of the domain occupied by a two-phase elastic medium
• Computation of phase transition temperatures for anisotropic model of a two-phase elastic medium
• Minimizers for a double-well problem with affine boundary conditions
• Direct methods in the calculus of variations
• Shape optimization by the homogenization method

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