Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses

dc.contributor.author Levitas, Valery
dc.contributor.author Warren, James
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 2018-02-19T00:28:29.000
dc.date.accessioned 2020-06-29T22:46:21Z
dc.date.available 2020-06-29T22:46:21Z
dc.date.copyright Thu Jan 01 00:00:00 UTC 2015
dc.date.issued 2015-10-01
dc.description.abstract <p>The main focus of this paper is to introduce, in a thermodynamically consistent manner, an anisotropic interface energy into a phase field theory for phase transformations. Here we use a small strain formulation for simplicity, but we retain some geometric nonlinearities, which are necessary for introducing correct interface stresses. Previous theories have assumed the free energy density (i.e., gradient energy) is an anisotropic function of the gradient of the order parameters in the current (deformed) state, which yields a nonsymmetric Cauchy stress tensor. This violates two fundamental principles: the angular momentum equation and the principle of material objectivity. Here, it is justified that for a noncontradictory theory the gradient energy must be an isotropic function of the gradient of the order parameters in the current state, which also depends anisotropically on the direction of the gradient of the order parameters in the reference state. A complete system of thermodynamically consistent equations is presented. We find that the main contribution to the Ginzburg-Landau equation resulting from small strains arises from the anisotropy of the interface energy, which was neglected before. The explicit expression for the free energy is justified. An analytical solution for the nonequilibrium interface and critical nucleus has been found and a parametric study is performed for orientation dependence of the interface energy and width as well as the distribution of interface stresses.</p>
dc.description.comments <p>This article is published as Levitas, Valery I., and James A. Warren. "Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses." Physical Review B 92, no. 14 (2015): 144106. doi:<a href="https://doi.org/10.1103/PhysRevB.92.144106" target="_blank" title="Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses">10.1103/PhysRevB.92.144106</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/aere_pubs/93/
dc.identifier.articleid 1095
dc.identifier.contextkey 10963291
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath aere_pubs/93
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/2097
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/aere_pubs/93/2015_Levitas_ThermodynamicallyConsistent.pdf|||Sat Jan 15 02:31:16 UTC 2022
dc.source.uri 10.1103/PhysRevB.92.144106
dc.subject.disciplines Aerospace Engineering
dc.subject.disciplines Structures and Materials
dc.title Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses
dc.type article
dc.type.genre article
dspace.entity.type Publication
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