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Finite element simulation of nonlinear magnetoelectric coupling and damage behaviour in multiferroic composites
Author(s) -
Avakian Artjom,
Ricoeur Andreas
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710218
Subject(s) - magnetostriction , nonlinear system , ferroelectricity , constitutive equation , materials science , finite element method , multiferroics , poling , ferromagnetism , polarization (electrochemistry) , coupling (piping) , magnetization , condensed matter physics , mechanics , structural engineering , magnetic field , composite material , physics , engineering , dielectric , chemistry , optoelectronics , quantum mechanics
Abstract In this paper, the constitutive modelling of nonlinear multifield behavior as well as the finite element implementation are presented. Nonlinear material models describing the magneto‐ferroelectric or electro‐ferromagnetic behaviors are presented. Both physically and phenomenologically motivated constitutive models have been developed for the numerical calculation of principally different nonlinear magnetostrictive behaviors. Further, the nonlinear ferroelectric behavior is based on a physically motivated constitutive model. On this basis, the polarization in the ferroelectric and magnetization in the ferromagnetic and magnetostrictive phases, respectively, are simulated and the resulting effects analyzed. Additionally, the ferroelectric model accounts for damage due to microcrack growth. Numerical simulations focus on the calculation of magnetoelectric coupling and on the prediction of local domain orientations as well as damage processes going along with the poling process, thus supplying information on favorable electric‐magnetic loading sequences. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)