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Coupled phase field simulations of ferroelectric and ferromagnetic layers in multiferroic heterostructures

Dornisch, Wolfgang and Schrade, David and Xu, Bai-Xiang and Keip, Marc-André and Müller, Ralf (2018):
Coupled phase field simulations of ferroelectric and ferromagnetic layers in multiferroic heterostructures.
In: Archive of Applied Mechanics, Springer, ISSN 0939-1533,
DOI: 10.1007/s00419-018-1480-9,
[Article]

Abstract

The combination of materials with either pronounced ferroelectric or ferromagnetic effect characterizes multiferroic heterostructures, whereby the different materials can be arranged in layers, columns or inclusions. The magnetization can be controlled by the application of electrical fields through a purely mechanical coupling at the interfaces between the different materials. Thus, a magneto-electric coupling effect is obtained. Within a continuum mechanics formulation, a phase field is used to describe the polarization and the magnetization in the ferroelectric and ferromagnetic layers, respectively. The coupling between polarization/magnetization and strains within the layers, in combination with the mechanical coupling at the sharp layer interfaces, yields the magneto-electric coupling within the heterostructure. The continuum formulations for both layers are discretized in order to make the differential equations amenable to a numerical solution with the finite element method. A state-of-the-art approach is used for the ferroelectric layer. The material behavior of the ferromagnetic layer is described by a continuum formulation from the literature, which is discretized using a newly proposed approach for the consistent interpolation of the magnetization vector. Four numerical examples are presented which show the applicability of the newly proposed approach for the ferromagnetic layer as well as the possibility to simulate magneto-electric coupling in multiferroic heterostructures.

Item Type: Article
Erschienen: 2018
Creators: Dornisch, Wolfgang and Schrade, David and Xu, Bai-Xiang and Keip, Marc-André and Müller, Ralf
Title: Coupled phase field simulations of ferroelectric and ferromagnetic layers in multiferroic heterostructures
Language: English
Abstract:

The combination of materials with either pronounced ferroelectric or ferromagnetic effect characterizes multiferroic heterostructures, whereby the different materials can be arranged in layers, columns or inclusions. The magnetization can be controlled by the application of electrical fields through a purely mechanical coupling at the interfaces between the different materials. Thus, a magneto-electric coupling effect is obtained. Within a continuum mechanics formulation, a phase field is used to describe the polarization and the magnetization in the ferroelectric and ferromagnetic layers, respectively. The coupling between polarization/magnetization and strains within the layers, in combination with the mechanical coupling at the sharp layer interfaces, yields the magneto-electric coupling within the heterostructure. The continuum formulations for both layers are discretized in order to make the differential equations amenable to a numerical solution with the finite element method. A state-of-the-art approach is used for the ferroelectric layer. The material behavior of the ferromagnetic layer is described by a continuum formulation from the literature, which is discretized using a newly proposed approach for the consistent interpolation of the magnetization vector. Four numerical examples are presented which show the applicability of the newly proposed approach for the ferromagnetic layer as well as the possibility to simulate magneto-electric coupling in multiferroic heterostructures.

Journal or Publication Title: Archive of Applied Mechanics
Publisher: Springer
Uncontrolled Keywords: Multiferroic heterostructure, Phase field method, Ferroelectric material, Ferromagnetic material, Finite element method, Rotation interpolation
Divisions: 11 Department of Materials and Earth Sciences
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences > Material Science > Mechanics of functional Materials
Date Deposited: 26 Nov 2018 06:13
DOI: 10.1007/s00419-018-1480-9
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