Interaction of a finite crack with shear waves in an infinite magnetoelastic medium
The aim of this paper is to investigate the interaction of a finite crack with shear waves in an infinite magnetoelastic medium. Fourier integral transformation is applied to convert the boundary value problem for a homogeneous,isotropic elastic material to the Fredholm integral equation of second k...
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Format: | Article |
Language: | English |
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University of West Bohemia
2021-06-01
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Series: | Applied and Computational Mechanics |
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Online Access: | https://www.kme.zcu.cz/acm/acm/article/view/623/558 |
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author | Panja S.K. Mandal S.C. |
author_facet | Panja S.K. Mandal S.C. |
author_sort | Panja S.K. |
collection | DOAJ |
description | The aim of this paper is to investigate the interaction of a finite crack with shear waves in an infinite magnetoelastic medium. Fourier integral transformation is applied to convert the boundary value problem for a homogeneous,isotropic elastic material to the Fredholm integral equation of second kind. The integral equation is solved by the perturbation method and the effect of magnetic field interaction on the crack is discussed. The stress intensity factor at the crack tip is determined numerically and plotted for low frequencies. Moreover, shear stress outside the crack,crack opening displacement, and crack energy are evaluated and shown by means of graphs. |
first_indexed | 2024-12-16T08:26:57Z |
format | Article |
id | doaj.art-797ef3d10d324013a48e5db1ffbe17a7 |
institution | Directory Open Access Journal |
issn | 1802-680X 2336-1182 |
language | English |
last_indexed | 2024-12-16T08:26:57Z |
publishDate | 2021-06-01 |
publisher | University of West Bohemia |
record_format | Article |
series | Applied and Computational Mechanics |
spelling | doaj.art-797ef3d10d324013a48e5db1ffbe17a72022-12-21T22:37:58ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822021-06-01151455610.24132/acm.2021.623Interaction of a finite crack with shear waves in an infinite magnetoelastic mediumPanja S.K.0Mandal S.C.1Jadavpur University, Department of Mathematics, Kolkata, IndiaJadavpur University, Faculty of Mathematics, Kolkata, IndiaThe aim of this paper is to investigate the interaction of a finite crack with shear waves in an infinite magnetoelastic medium. Fourier integral transformation is applied to convert the boundary value problem for a homogeneous,isotropic elastic material to the Fredholm integral equation of second kind. The integral equation is solved by the perturbation method and the effect of magnetic field interaction on the crack is discussed. The stress intensity factor at the crack tip is determined numerically and plotted for low frequencies. Moreover, shear stress outside the crack,crack opening displacement, and crack energy are evaluated and shown by means of graphs.https://www.kme.zcu.cz/acm/acm/article/view/623/558magnetoelasticfinite crackstress intensity factorcrack opening displacement |
spellingShingle | Panja S.K. Mandal S.C. Interaction of a finite crack with shear waves in an infinite magnetoelastic medium Applied and Computational Mechanics magnetoelastic finite crack stress intensity factor crack opening displacement |
title | Interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
title_full | Interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
title_fullStr | Interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
title_full_unstemmed | Interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
title_short | Interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
title_sort | interaction of a finite crack with shear waves in an infinite magnetoelastic medium |
topic | magnetoelastic finite crack stress intensity factor crack opening displacement |
url | https://www.kme.zcu.cz/acm/acm/article/view/623/558 |
work_keys_str_mv | AT panjask interactionofafinitecrackwithshearwavesinaninfinitemagnetoelasticmedium AT mandalsc interactionofafinitecrackwithshearwavesinaninfinitemagnetoelasticmedium |