Microscale size effects in piezomagnetic material for the anti-plane problem

Abstract

A continuum model of piezomagnetic material with strain, magnetic and piezomagnetic coupling gradient effects is proposed using a variational principle in this work. This model is employed to an anti-plane problem, and a general solution is constructed in polar coordinates. Special attention is paid to microstructural effects on the magnetic and mechanical response in an infinite piezomagnetic medium with a void. It is found that the microstructural length scales have a significant influence on the mechanic and magnetic fields. The three length scales (corresponding to strain, magnetic and piezomagnetic coupling gradients) are indispensable to describe the nonlocal effects of piezomagnetism. Additionally, controlling the direction and magnitude of the magnetic field at the edge of the void can be achieved by adjusting the microstructural length scales of the piezomagnetic medium.

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Item Type:	Article
Authors/Creators:	Xu, M. Askes, H. https://orcid.org/0000-0002-4900-1376 Shang, X. Gitman, I.M.
Copyright, Publisher and Additional Information:	© 2021 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords:	Piezomagnetic material; Microstructure; Strain gradient; Magnetic field gradient; Anti-plane problem
Dates:	Published: 7 October 2021 Published (online): 7 October 2021 Accepted: 21 July 2021
Institution:	The University of Sheffield
Academic Units:	The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield)
Funding Information:	Funder Grant number European Commission H2020-MSCA-RISE-2016 734485
Depositing User:	Symplectic Sheffield
Date Deposited:	26 Oct 2021 08:42
Last Modified:	26 Oct 2021 08:42
Status:	Published
Publisher:	Springer Nature
Refereed:	Yes
Identification Number:	10.1007/s00707-021-03071-9
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:179607

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Microscale size effects in piezomagnetic material for the anti-plane problem

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