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Interfacial stresses within boundary between martensitic variants: Analytical and numerical finite strain solutions for three phase field models

TitleInterfacial stresses within boundary between martensitic variants: Analytical and numerical finite strain solutions for three phase field models
Publication TypeJournal Article
Year of Publication2017
AuthorsBasak, A, Levitas, VI
JournalActa Materialia
Volume139
Pagination174-187
Date Published10
Type of ArticleArticle
ISBN Number1359-6454
Accession NumberWOS:000413381700016
Keywordsboundary, deformation, Elasticity, energy, evolution, instability, Interfacial stresses, Martensitic phase transformation, Materials Science, Metallurgical Engineering, Microstructure, Phase field method, phase-transformations, simulation, Strain incompatibility, surface-stress, transitions, Variant-variant
Abstract

, and a stretch tensor corresponding to simple shear (KM-Ill). An analytical finite-strain solution has been found for an infinite sample for tetragonal martensite under plane stress condition. In particular, explicit expression for the stresses have been obtained. The maximum interfacial stress for KM-II is more than twice that which corresponds to KM-I. Stresses are absent for KM-Ill, but it is unclear how to generalize this model for multivariant martensitic transformation. An approximate analytical solution for a finite sample has been found as well. It shows good correspondence with numerical results obtained using the finite element method. The obtain results are important for developing phase field approaches for multivariant martensitic transformations coupled to mechanics, especially at the nanoscale. (C) 2017 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

DOI10.1016/j.actamat.2017.07.059
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