An upper bound to the free energy of mixing by twin-compatible lamination for \(n\)-variant martensitic phase transformations

DOI10.1007/s00161-006-0038-1zbMath1160.74393OpenAlexW2083733493MaRDI QIDQ1018444

Sanjay Govindjee, Rainer Heinen, Klaus Hackl

Publication date: 20 May 2009

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-006-0038-1

zbMATH Keywords

relaxationshape memory alloysmartensitic phase transformationslaminationquasiconvexification

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Crystals in solids (74N05)

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Cites Work

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• Fine phase mixtures as minimizers of energy
• The relaxation of a double-well energy
• The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis.
• Application of a partially relaxed shape memory free energy function to estimate the phase diagram and predict global microstructure evolution
• Optimal Bounds on the Effective Bulk Modulus of Polycrystals
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• A multi-variant martensitic phase transformation model: Formulation and numerical implementation

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