An investigation of non-planar austenite–martensite interfaces

DOI10.1142/S0218202514500122zbMath1350.74020arXiv1310.2440OpenAlexW2062700041MaRDI QIDQ5494819

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Publication date: 30 July 2014

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

Full work available at URL: https://arxiv.org/abs/1310.2440

zbMATH Keywords

nonlinear elasticityHadamard's jump conditioncubic austenite

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analysis of microstructure in solids (74N15)

Related Items (4)

Interfacial energy as a selection mechanism for minimizing gradient Young measures in a one-dimensional model problem ⋮ On the interplay of anisotropy and geometry for polycrystals in single‐slip crystal plasticity ⋮ A model for the evolution of highly reversible martensitic transformations ⋮ Analysis of a moving mask hypothesis for martensitic transformations

Cites Work

• The failure of rank-one connections
• Fine phase mixtures as minimizers of energy
• Self-accommodation in martensite
• Liquid-like behavior of shape memory alloys.
• Variational methods for crystalline microstructure. Analysis and computation
• Vector and scalar potentials, Poincaré's theorem and Korn's inequality
• Introduction to Smooth Manifolds
• Proposed experimental tests of a theory of fine microstructure and the two-well problem

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