QUASISTATIC ISOTHERMAL EVOLUTION OF SHAPE MEMORY ALLOYS

被引：3
作者：
Frigeri, Sergio [1 ]
Krejci, Pavel [2 ]
Stefanelli, Ulisse [1 ]
机构：
[1] IMATI CNR, I-27100 Pavia, Italy
[2] Matemat Ustav AV CR, CZ-11567 Prague 1, Czech Republic
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 12期
关键词：
Shape memory alloys; quasistatic evolution; existence; time-discretization; MARTENSITIC PHASE-TRANSFORMATION; RATE-INDEPENDENT MODEL; THERMOMECHANICAL EVOLUTION; NUMERICAL SIMULATIONS; 3-DIMENSIONAL MODEL; PSEUDOELASTICITY; MICROSTRUCTURE; FORMULATION; EXISTENCE; BEHAVIOR;
D O I：
10.1142/S0218202511005787
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on a three-dimensional phenomenological model for the isothermal evolution of a polycrystalline shape memory alloy. The model, originally proposed by Auricchio, Taylor, and Lubliner in 1997, is thermodynamically consistent and reproduces the crucial martensitic reorientation effect as well as the tension-compression asymmetric behavior of the material. We prove the existence of a weak solution of the corresponding quasistatic evolution problem by passing to the limit within a time-discretization procedure.
引用
收藏
页码：2409 / 2432
页数：24
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