We prove the global existence of solutions for a shape-memory alloys constitutive model at finite strains. The model has been presented in Evangelista et al. (Int J Numer Methods Eng 81(6):761-785, 2010) and corresponds to a suitable finite-strain version of the celebrated Souza-Auricchio model for SMAs (Auricchio and Petrini in Int J Numer Methods Eng 55:1255-1284, 2002; Souza et al. in J Mech A Solids 17:789-806, 1998). We reformulate the model in purely variational fashion under the form of a rate-independent process. Existence of suitably weak (energetic) solutions to the model is obtained by passing to the limit within a constructive time-discretization procedure.
Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys / S. Frigeri, U. Stefanelli. - In: CONTINUUM MECHANICS AND THERMODYNAMICS. - ISSN 0935-1175. - 24:1(2012), pp. 63-77.
Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys
S. Frigeri;
2012
Abstract
We prove the global existence of solutions for a shape-memory alloys constitutive model at finite strains. The model has been presented in Evangelista et al. (Int J Numer Methods Eng 81(6):761-785, 2010) and corresponds to a suitable finite-strain version of the celebrated Souza-Auricchio model for SMAs (Auricchio and Petrini in Int J Numer Methods Eng 55:1255-1284, 2002; Souza et al. in J Mech A Solids 17:789-806, 1998). We reformulate the model in purely variational fashion under the form of a rate-independent process. Existence of suitably weak (energetic) solutions to the model is obtained by passing to the limit within a constructive time-discretization procedure.File | Dimensione | Formato | |
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