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A total-variation surface energy model for thin films of martensitic crystals

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Publication:1599131
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DOI10.4171/IFB/53zbMath1014.49013MaRDI QIDQ1599131

Pavel Bělík, Mitchell Luskin

Publication date: 18 February 2003

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)


zbMATH Keywords

total variationenergy functionaldeformation gradientbounded variationmartensitethin-film surface energy


Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15)


Related Items (7)

A finite element model for martensitic thin films ⋮ Approximation Schemes for Materials with Discontinuities ⋮ Almost classical solutions to the total variation flow ⋮ Variational Dimension Reduction in Nonlinear Elasticity: A Young Measure Approach ⋮ A computational model for the indentation and phase transformation of a martensitic thin film ⋮ Modeling the behavior of heat-shrinkable thin films ⋮ Numerical analysis of a model for ferromagnetic shape memory thin films




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