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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Main Authors: Panja S.K., Mandal S.C.
Format: Article
Language:English
Published: University of West Bohemia 2021-06-01
Series:Applied and Computational Mechanics
Subjects:
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.
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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