Počet záznamů: 1

Equilibrium of phases with interfacial energy : a variational approach

  1. 1.
    0360209 - MU-W 2012 RIV NL eng J - Článek v odborném periodiku
    Šilhavý, Miroslav
    Equilibrium of phases with interfacial energy : a variational approach.
    Journal of Elasticity. Roč. 105, 1-2 (2011), s. 271-303 ISSN 0374-3535
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: phase transitions * phase interface * interface polyconvexity
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.110, rok: 2011
    http://www.springerlink.com/content/w4p16v37t032v632/

    The paper proves the existence of equilibrium two phase states with elastic solid bulk phases and deformation dependent interfacial energy. The states are pairs consisting of the deformation on the body and the region occupied by one of the phases in the reference configuration. The bulk energies of the two phases are polyconvex functions representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The constitutive theory and equilibrium theory of the interface are discussed in detail under appropriate smoothness hypotheses. Various forms of the interfacial stress relations for the standard and configurational (Eshelby) interfacial stresses are established. The equilibrium equations are derived by a variational argument emphasizing the roles of outer and inner variations.
    Trvalý link: http://hdl.handle.net/11104/0197815
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