Incoherence at heterogeneous interfaces

DOI10.1016/S0022-5096(98)00123-9zbMath0964.74011OpenAlexW1997900480MaRDI QIDQ1968707

David Kinderlehrer, Darren E. Mason

Publication date: 16 July 2001

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(98)00123-9

zbMATH Keywords

energy methodsbulk energy densitynonconvex interfacial energy densitydefect microstructureselastic bi-crystalheterophase (01)/(01) interfacemicroscopic lattice mismatchmultiscale variational modelreferential coherence tensortwo-dimensional bi-crystal

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Crystalline structure (74E15) Energy minimization in equilibrium problems in solid mechanics (74G65) Statistical mechanics of crystals (82D25) Micromechanical theories (74A60)

Cites Work

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• Weak Martensitic transformations in Bravais lattices
• Fine phase mixtures as minimizers of energy
• Equilibrium configurations of crystals
• Self-accommodation in martensite
• The dynamics of solid-solid phase transitions. II: Incoherent interfaces
• A continuum description of partially coherent interfaces
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• The Wulff theorem revisited
• One-dimensional dislocations. I. Static theory
• Dislocation Models of Crystal Grain Boundaries

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