Existence and time-discretization for the finite-strain Souza–Auricchio constitutive model for shape-memory alloys

被引：0
作者：
Sergio Frigeri
Ulisse Stefanelli
机构：
[1] Università di Pavia,Dipartimento di Matematica ’F. Casorati’
[2] IMATI - CNR,undefined
[3] WIAS,undefined
来源：
Continuum Mechanics and Thermodynamics | 2012年 / 24卷
关键词：
Shape-memory alloys; Finite-strain; Phase transformations in solids; Rate-independence; Existence; Time-discretization; 74C15; 74N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：63 / 77
页数：14
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