Unambiguous Gibbs dividing surface for nonequilibrium finite-width interface: Static equivalence approach

dc.contributor.author Levitas, Valery
dc.contributor.author Levitas, Valery
dc.contributor.department Aerospace Engineering
dc.date 2018-02-14T01:35:37.000
dc.date.accessioned 2020-06-29T22:45:56Z
dc.date.available 2020-06-29T22:45:56Z
dc.date.copyright Wed Jan 01 00:00:00 UTC 2014
dc.date.embargo 2015-03-18
dc.date.issued 2014-01-01
dc.description.abstract <p>The definition of all properties of the nonequilibrium interface depends on the choice of the position of the dividing surface. However, the definition of its position has been an unsolved problem for more than a century. A missing principle to unambiguously determine the position of the Gibbs’ dividing surface is found: the principle of static equivalence. A sharp interface (dividing surface) is statically equivalent to a nonequilibrium finite-width interface with distributed tensile stresses if it possesses (a) the same resultant force, equal to the interface energy, and (b) the same moment, which is zero about the interface position. Each of these conditions determines the position of a sharp interface, which may be contradictory. This principle is applied to resolve another basic problem: the development of a phase field approach to an interface motion that includes an expression for interface stresses, which are thermodynamically consistent, and consistent with a sharp-interface limit. Using an analytical solution for a curved propagating interface, it is shown that both conditions determine the same dividing surface, i.e., the theory is self-consistent. The expression for the interface energy is also consistent with the expression for the velocity of the curved sharp interface. Applications to more complex interfaces that support elastic stresses are discussed.</p>
dc.description.comments <p><p>This article is from <em>Physical Review B</em>89 (2014): 094107, doi: <a href="http://dx.doi.org/10.1103/PhysRevB.89.094107" target="_blank">10.1103/PhysRevB.89.094107</a>. Posted with permission</p></p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/aere_pubs/40/
dc.identifier.articleid 1038
dc.identifier.contextkey 5661237
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath aere_pubs/40
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/2040
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/aere_pubs/40/2014_LevitasVI_UnambiguousGibbsDividing.pdf|||Sat Jan 15 00:06:52 UTC 2022
dc.source.uri 10.1103/PhysRevB.89.094107
dc.subject.disciplines Aerospace Engineering
dc.subject.disciplines Materials Science and Engineering
dc.subject.disciplines Mechanical Engineering
dc.title Unambiguous Gibbs dividing surface for nonequilibrium finite-width interface: Static equivalence approach
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isAuthorOfPublication 850871e3-115a-428e-82cc-cbfafef5cf66
relation.isOrgUnitOfPublication 047b23ca-7bd7-4194-b084-c4181d33d95d
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