Premium
Rank‐One Convexification Approach for the Modeling of Magnetic Shape Memory Response
Author(s) -
Buckmann Karsten,
Kiefer Björn,
Bartel Thorsten,
Menzel Andreas
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510146
Subject(s) - dissipative system , phenomenological model , minification , nonlinear system , energy minimization , anisotropy , rotation (mathematics) , shape memory alloy , rank (graph theory) , magnetic anisotropy , magnetization , statistical physics , computer science , physics , mathematics , condensed matter physics , thermodynamics , magnetic field , artificial intelligence , mathematical optimization , quantum mechanics , combinatorics
We present an incremental energy minimization model for magnetic shape memory alloys (MSMAs) whose derivation departs from the constrained theory of magnetoelasticity [1], but additionally accounts for elastic deformations, magnetization rotation, and dissipative mechanisms. The minimization of the proposed incremental energy yields the evolution of the internal state variables. In this sense, the presented modeling concept clearly distinguishes itself from standard phenomenological approaches to MSMA modeling [4]. The extended model is applied to simulate the response of single crystalline Ni 2 MnGa. It is shown to accurately capture the nonlinear, anisotropic, hysteretic, and highly stress level‐dependent features of MSMA behavior, based on just a few fundamental material parameters, which is validated by comparison to experimental data. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)