The effect of a surface energy term on the distribution of phases in an elastic medium with a two‐well elastic potential

DOI10.1002/mma.282zbMath1131.74326OpenAlexW2134295525MaRDI QIDQ4331142

Michael Bildhauer, Fuchs, Martin, Viktor G. Osmolovskii

Publication date: 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.282

zbMATH Keywords

equilibrium statesfunctions of bounded variation

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Crystals in solids (74N05)

Related Items

Mathematical problems of the theory of phase transitions in continuum mechanics ⋮ Isoperimetric inequality and equilibrium states of a two-phase medium

Cites Work

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• The formulation and an existence theorem for a variational problem on phase transitions in continuous medium mechanics
• Microstructures with finite surface energy: The two-well problem
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Surface energy and microstructure in coherent phase transitions