Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Abstract An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-ma...

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Autores principales:	Zhiwei Liu, Hui Qi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b7dc8fdd3f354dd8acdd907264eb70d4
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spelling	oai:doaj.org-article:b7dc8fdd3f354dd8acdd907264eb70d42021-12-02T16:10:24ZDynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space10.1038/s41598-021-92841-52045-2322https://doaj.org/article/b7dc8fdd3f354dd8acdd907264eb70d42021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-92841-5https://doaj.org/toc/2045-2322Abstract An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-magnetic dynamic equation of magnetostrictive medium is established, and the semi-space incident wave field is written. In addition, based on the theory of complex function and the method of wave function expansion, the expression of the wave function of the scattered displacement field and the corresponding magnetic potential of the scattered wave under the condition of no stress and magnetic insulation of the horizontal boundary are obtained. Then, based on the conditions of free boundary stress, continuous magnetic induction intensity and continuous magnetic potential around the circular cavity, the infinite linear algebraic equations are established. Finally, the analytical expressions of dynamic stress concentration factor and magnetic field intensity concentration factor around circular cavity in semi-space rare earth giant magnetostrictive medium are obtained. Numerical examples show that the analysis results depend on the following parameters: permeability, dimensional-piezomagnetic coefficient, frequency of the incident wave, incident angle, distance between the circular cavity and horizontal boundary. These results have certain reference value for the study of non-destructive testing and failure analysis of rare earth giant magnetostrictive materials.Zhiwei LiuHui QiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Zhiwei Liu Hui Qi Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
description	Abstract An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-magnetic dynamic equation of magnetostrictive medium is established, and the semi-space incident wave field is written. In addition, based on the theory of complex function and the method of wave function expansion, the expression of the wave function of the scattered displacement field and the corresponding magnetic potential of the scattered wave under the condition of no stress and magnetic insulation of the horizontal boundary are obtained. Then, based on the conditions of free boundary stress, continuous magnetic induction intensity and continuous magnetic potential around the circular cavity, the infinite linear algebraic equations are established. Finally, the analytical expressions of dynamic stress concentration factor and magnetic field intensity concentration factor around circular cavity in semi-space rare earth giant magnetostrictive medium are obtained. Numerical examples show that the analysis results depend on the following parameters: permeability, dimensional-piezomagnetic coefficient, frequency of the incident wave, incident angle, distance between the circular cavity and horizontal boundary. These results have certain reference value for the study of non-destructive testing and failure analysis of rare earth giant magnetostrictive materials.
format	article
author	Zhiwei Liu Hui Qi
author_facet	Zhiwei Liu Hui Qi
author_sort	Zhiwei Liu
title	Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
title_short	Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
title_full	Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
title_fullStr	Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
title_full_unstemmed	Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
title_sort	dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/b7dc8fdd3f354dd8acdd907264eb70d4
work_keys_str_mv	AT zhiweiliu dynamicantiplanebehaviorofrareearthgiantmagnetostrictivemediumwithacircularcavitydefectinsemispace AT huiqi dynamicantiplanebehaviorofrareearthgiantmagnetostrictivemediumwithacircularcavitydefectinsemispace
_version_	1718384433628708864

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

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