Impact response of a finite crack in the presence of magnetic field

•Problem is imposed of an infinite medium with a crack under normal and shear impact.•Analytic form of SIF and COD have been obtained using the asymptotic series.•Zakian algorithm have been utilized for Laplace inversion.•Effect of magnetic field has been discussed for SIF and COD. The present artic...

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Bibliographic Details
Published in:Engineering fracture mechanics Vol. 253; p. 107851
Main Authors: Panja, Sourav Kumar, Mandal, S.C.
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01.08.2021
Elsevier BV
Subjects:
Algorithms
Asymptotic methods
Asymptotic series
Boundary value problems
Crack opening displacement
Crack propagation
Ferromagnetism
Fredholm equations
Impact load
Impact loads
Impact response
Integral equations
Isotropic media
Laplace transforms
Magnetic field
Magnetic fields
Magnetism
Series expansion
Stress intensity factor
Stress intensity factors
Crack opening displacement
Stress intensity factor
Magnetic field
Impact load
ISSN:0013-7944, 1873-7315
Online Access:Get full text
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Summary:•Problem is imposed of an infinite medium with a crack under normal and shear impact.•Analytic form of SIF and COD have been obtained using the asymptotic series.•Zakian algorithm have been utilized for Laplace inversion.•Effect of magnetic field has been discussed for SIF and COD. The present article studies the problem concerning impact load on a finite crack in the presence of a magnetic field on the crack surface in an infinite isotropic medium. Laplace and Abel’s transform are used to reduce the boundary value problem to a Fredholm integral equation of the 2nd kind. The integral equation is solved by the asymptotic series expansion method for low frequency. The expression of stress intensity factor (SIF) and crack opening displacement (COD) have been derived in the Laplace transform domain, and finally switched to the time domain with the help of Zakian’s Laplace inversion algorithm. The effect of magnetic field on SIF and COD has been discussed employing graphs. We found that a ferromagnetic substance such as Iron, Cobalt, Nickel, etc. is more capable to prevent the crack growth due to normal impact. Magnetic field can not prevent the crack growth in case of sliding mode.
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ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2021.107851