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dc.contributor.authorBalassas, K. G.en
dc.contributor.authorKalpakides, V. K.en
dc.date.accessioned2015-11-24T17:31:08Z-
dc.date.available2015-11-24T17:31:08Z-
dc.identifier.issn0045-7825-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13550-
dc.rightsDefault Licence-
dc.subjectmaterial forceen
dc.subjectsolid-solid phase transitionen
dc.subjectfinite element methoden
dc.subjecthyperelastostatic fracture-mechanicsen
dc.subjectfinite-element-methoden
dc.subjectconfigurational forcesen
dc.subjectmaterial settingsen
dc.subjecteshelby tensoren
dc.subjectformulationen
dc.subjectelasticityen
dc.subjectcontinuumen
dc.subjectthermoelasticityen
dc.subjectoptimizationen
dc.titleThe equilibrium of material forces in a 1D phase transition problemen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.cma.2006.11.010-
heal.identifier.secondary<Go to ISI>://000244996500007-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικώνel
heal.publicationDate2007-
heal.abstractThis paper aims at the use of material forces in estimating the interface location in an elastic, one-dimensional, two-phase problem. A variational formulation based on variations of both the dependent and the independent variables results in the weak form of the momentum and the canonical momentum equations, thus providing an appropriate framework for the use of the finite element method. Using this, one can compute, apart from the finite element solution to the equilibrium equation for the physical forces, the corresponding one to the equilibrium equation for the material forces which provides the location of the interface. In this way the total energy is minimized with respect to the deformations as well as to the interface location. Our theoretical expectations are confirmed by a numerical example concerning a one-dimensional, deformation-induced phase transition problem with known analytical solution. (c) 2006 Elsevier B.V. All rights reserved.en
heal.publisherElsevieren
heal.journalNameComputer Methods in Applied Mechanics and Engineeringen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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