Počet záznamů: 1

Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires

  1. 1.
    0360070 - MU-W 2012 RIV GB eng J - Článek v odborném periodiku
    Krejčí, Pavel - Stefanelli, U.
    Existence and non-existence for the full thermomechanical Souza–Auricchio model of shape memory wires.
    Mathematics and Mechanics of Solids. Roč. 16, č. 4 (2011), s. 349-365 ISSN 1081-2865
    Grant CEP: GA ČR GAP201/10/2315
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: shape memory alloys * thermomechanics * existence result * blowup in finite time
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.012, rok: 2011
    http://mms.sagepub.com/content/early/2011/03/11/1081286510386935.abstract

    We provide an existence theory for the full thermomechanical quasi-static evolution of a shape memory wire described by the Souza–Auricchio constitutive model. The analysis requires some mild restriction on the choice of the thermomechanical coupling term in the expression on the free energy of the material. This restriction slightly deviates from the original Souza–Auricchio modeling frame, while still being compatible with real situations. We additionally show that, by imposing no such restriction, the original Souza–Auricchio model is ill-posed.
    Trvalý link: http://hdl.handle.net/11104/0197708
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