Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains

dc.contributor.author Basak, Anup
dc.contributor.author Levitas, Valery
dc.contributor.author Levitas, Valery
dc.contributor.department Aerospace Engineering
dc.contributor.department Ames Laboratory
dc.contributor.department Mechanical Engineering
dc.contributor.department Materials Science and Engineering
dc.date 2018-04-29T06:44:42.000
dc.date.accessioned 2020-06-29T22:45:18Z
dc.date.available 2020-06-29T22:45:18Z
dc.date.copyright Mon Jan 01 00:00:00 UTC 2018
dc.date.embargo 2019-04-01
dc.date.issued 2018-04-01
dc.description.abstract <p>A thermodynamically consistent, novel multiphase phase field approach for stress- and temperature-induced martensitic phase transformations at finite strains and with interfacial stresses has been developed. The model considers a single order parameter to describe the austenite↔martensitic transformations, and another N order parameters describing N variants and constrained to a plane in an N-dimensional order parameter space. In the free energy model coexistence of three or more phases at a single material point (multiphase junction), and deviation of each variant-variant transformation path from a straight line have been penalized. Some shortcomings of the existing models are resolved. Three different kinematic models (KMs) for the transformation deformation gradient tensors are assumed: (i) In KM-I the transformation deformation gradient tensor is a is a linear function of the Bain tensors for the variants. (ii) In KM-II the natural logarithms of the transformation deformation gradient is taken as a linear combination of the natural logarithm of the Bain tensors multiplied with the interpolation functions. (iii) In KM-III it is derived using the twinning equation from the crystallographic theory. The instability criteria for all the phase transformations have been derived for all the kinematic models, and their comparative study is presented. A large strain finite element procedure has been developed and used for studying the evolution of some complex microstructures in nanoscale samples under various loading conditions. Also, the stresses within variant-variant boundaries, the sample size effect, effect of penalizing the triple junctions, and twinned microstructures have been studied. The present approach can be extended for studying grain growth, solidifications, para↔ferro electric transformations, and diffusive phase transformations.</p>
dc.description.comments <p>This is a manuscript of an article published as Basak, Anup, and Valery I. Levitas. "Nanoscale multiphase phase field approach for stress-and temperature-induced martensitic phase transformations with interfacial stresses at finite strains." <em>Journal of the Mechanics and Physics of Solids </em>113 (2018): 162-196. DOI: <a href="http://dx.doi.org/10.1016/j.jmps.2018.01.014" target="_blank">10.1016/j.jmps.2018.01.014</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/aere_pubs/110/
dc.identifier.articleid 1111
dc.identifier.contextkey 11647295
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath aere_pubs/110
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/1953
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/aere_pubs/110/2018_Levitas_NanoscaleMultiphase.pdf|||Fri Jan 14 18:40:10 UTC 2022
dc.source.uri 10.1016/j.jmps.2018.01.014
dc.subject.disciplines Aerospace Engineering
dc.subject.disciplines Heat Transfer, Combustion
dc.subject.disciplines Materials Science and Engineering
dc.subject.disciplines Nanoscience and Nanotechnology
dc.subject.disciplines Structures and Materials
dc.subject.keywords Multiphase phase field approach
dc.subject.keywords Martensitic transformation
dc.subject.keywords Variant-variant boundary
dc.subject.keywords Twinning
dc.subject.keywords Multiphase junction
dc.subject.keywords Instability of phase
dc.subject.keywords Interfacial stress
dc.subject.keywords Finite strain
dc.subject.keywords Size effect
dc.title Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains
dc.type article
dc.type.genre article
dspace.entity.type Publication
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