Study of the \textit{cofactor conditions}: conditions of supercompatibility between phases

DOI10.1016/j.jmps.2013.08.004zbMath1294.74050arXiv1307.5930OpenAlexW1984186131MaRDI QIDQ400849

Vivekanand Dabade, Richard D. James, Xian Chen, Vijay K. Srivastava

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.5930

zbMATH Keywords

hysteresismicrostructurescompatibilitymartensitic phase transformationcofactor conditions

Mathematics Subject Classification ID

Crystals in solids (74N05)

Related Items (9)

Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity ⋮ Materials from mathematics ⋮ Incompatible sets of gradients and metastability ⋮ Zig-zag twins and helical phase transformations ⋮ On the cofactor conditions and further conditions of supercompatibility between phases ⋮ On non stress-free junctions between martensitic plates ⋮ A model for the evolution of highly reversible martensitic transformations ⋮ Phase transformations and compatibility in helical structures ⋮ Analysis of a moving mask hypothesis for martensitic transformations

Cites Work

• Comparison of the geometrically nonlinear and linear theories of martensitic transformation
• Linear \(\Gamma \)-limits of multiwell energies in nonlinear elasticity theory
• Fine phase mixtures as minimizers of energy
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation
• On the Cauchy—Born Rule
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