Interfacial energy and the Maxwell rule

DOI10.1007/BF00275915zbMath0721.73005MaRDI QIDQ2641129

Irene Fonseca

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

quasi-convexityrank one convexitygeometric necessary condition for metastable equilibrium configurationsselection of a finite number of interfacial directions

Mathematics Subject Classification ID

Related Items (14)

Strong solution for an elastic-plastic plate ⋮ The nature of configurational forces ⋮ Lower semicontinuity of surface energies ⋮ A sharp interface evolutionary model for shape memory alloys ⋮ Equilibrium of phases with interfacial energy: a variational approach ⋮ Equilibrium for multiphase solids with Eulerian interfaces ⋮ Stable periodic phase boundaries in unloaded crystals ⋮ Unnamed Item ⋮ On the material symmetry group of elastic crystals and the Born rule ⋮ Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law ⋮ Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation ⋮ The dynamics of solid-solid phase transitions. I: Coherent interfaces ⋮ On martensitic phase nucleation with surface effects ⋮ The stress driven instability in elastic crystals: Mathematical models and physical manifestations

Cites Work

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• The effect of a singular perturbation on nonconvex variational problems
• Equilibrium configurations of crystals
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• The gradient theory of phase transitions and the minimal interface criterion
• The lower quasiconvex envelope of the stored energy function for an elastic crystal
• The gradient theory of phase transitions for systems with two potential wells
• Nonconvex variational problems with anisotropic perturbations
• Some Theorems on the Free Energies of Crystal Surfaces
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