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    A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
    This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.