Legendre-Hadamard conditions for two-phase configurations

DOI10.1007/s10659-015-9557-yzbMath1334.74069OpenAlexW2289443072MaRDI QIDQ269931

Yury Grabovsky, L. M. Truskinovskij

Publication date: 6 April 2016

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-015-9557-y

zbMATH Keywords

quasiconvexitycalculus of variationselastic stabilityellipticityphase boundarieslaminatesmartensitic phase transitionsstrong local minimizers

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Energy minimization in equilibrium problems in solid mechanics (74G65) Existence theories for free problems in two or more independent variables (49J10)

Related Items (5)

When rank-one convexity meets polyconvexity: an algebraic approach to elastic binodal ⋮ Explicit relaxation of a two-well Hadamard energy ⋮ The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split ⋮ Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type

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