MAGNETIC SHAPE MEMORY ALLOYS: THREE-DIMENSIONAL MODELING AND ANALYSIS-Reference-Cited by-同舟云学术

MAGNETIC SHAPE MEMORY ALLOYS: THREE-DIMENSIONAL MODELING AND ANALYSIS

Published:2011-05 Issue:05 Volume:21 Page:1043-1069
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BESSOUD A.-L.¹,STEFANELLI U.¹

Affiliation:

1. Istituto di Matematica Applicata e Tecnologie Informatiche-CNR, Via Ferrata 1, 27100 Pavia, Italy

Abstract

We present a three-dimensional phenomenological model for the magneto-mechanical behavior of magnetic shape memory materials such as Ni2MnGa . Moving from micromagnetic considerations, we advance to some thermodynamically consistent constitutive relations describing the magnetically-induced cubic-to-tetragonal martensitic transformation in a single crystal. We present an existence analysis for both the constitutive relation problem and the three-dimensional quasi-static evolution problem. Finally, we discuss the reduction of this model to some simpler one by means of a rigorous Γ-convergence analysis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511005246

Reference45 articles.

1. A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS

2. Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations

3. A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems

4. A three-dimensional model describing stress-temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications

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