On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation

Wang, J. and Steinmann, P. (2016) On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation. Continuum Mechanics and Thermodynamics, 28(3), 669–-698. (doi: 10.1007/s00161-013-0319-4)

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Abstract

This is part II of this series of papers. The aim of the current paper was to solve the governing PDE system derived in part I numerically, such that the procedure of variant reorientation in a magnetic shape memory alloy (MSMA) sample can be simulated. The sample to be considered in this paper has a 3D cuboid shape and is subject to typical magnetic and mechanical loading conditions. To investigate the demagnetization effect on the sample’s response, the surrounding space of the sample is taken into account. By considering the different properties of the independent variables, an iterative numerical algorithm is proposed to solve the governing system. The related mathematical formulas and some techniques facilitating the numerical calculations are introduced. Based on the results of numerical simulations, the distributions of some important physical quantities (e.g., magnetization, demagnetization field, and mechanical stress) in the sample can be determined. Furthermore, the properties of configurational force on the twin interfaces are investigated. By virtue of the twin interface movement criteria derived in part I, the whole procedure of magnetic field- or stress-induced variant reorientations in the MSMA sample can be properly simulated.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Wang, J., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Continuum Mechanics and Thermodynamics
Publisher:Springer
ISSN:0935-1175
ISSN (Online):1432-0959
Published Online:11 December 2014

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