QUASISTATIC ISOTHERMAL EVOLUTION OF SHAPE MEMORY ALLOYS-Reference-Cited by-同舟云学术

QUASISTATIC ISOTHERMAL EVOLUTION OF SHAPE MEMORY ALLOYS

Published:2011-12 Issue:12 Volume:21 Page:2409-2432
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

FRIGERI SERGIO¹,KREJČÍ PAVEL²,STEFANELLI ULISSE¹

Affiliation:

1. IMATI–CNR, via Ferrata 1, I-27100 Pavia, Italy

2. Matematický ústav AV ČR, Žitná 25, CZ-11567 Praha 1, Czech Republic

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511005787

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