Show simple item record

dc.contributor.authorAlber H.-D.
dc.contributor.authorZhu P.
dc.date.accessioned2017-02-21T08:18:16Z
dc.date.available2017-02-21T08:18:16Z
dc.date.issued2011-12-31
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/20.500.11824/470
dc.description.abstractWe study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take place. The model was proposed earlier by the authors and consists of the partial differential equations of linear elasticity coupled to a nonlinear, degenerate parabolic equation of second order for an order parameter. In a previous paper global existence of weak solutions in one space dimension was proved under Dirichlet boundary conditions for the order parameter. Here we show that global solutions also exist for Neumann boundary conditions. Again, the method of proof is only valid in one space dimension. © 2010 Elsevier Ltd. All rights reserved.
dc.formatapplication/pdf
dc.languageeng
dc.publisherNonlinear Analysis: Real World Applications
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectConfigurational forces
dc.subjectElliptic-parabolic system
dc.subjectMartensitic phase transition model
dc.subjectNeumann boundary conditions
dc.titleSolutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.nonrwa.2010.11.012
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79952619655&doi=10.1016%2fj.nonrwa.2010.11.012&partnerID=40&md5=ab8324e8202f4a651d49b12d811acadc


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess