Open AccessInteraction of a finite crack with shear waves in an infinite magnetoelastic medium
Author(s) -
Sourav Kumar Panja,
S. C. Mandal
Publication year - 2021
Publication title -
applied and computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.129
H-Index - 4
eISSN - 2336-1182
pISSN - 1802-680X
DOI - 10.24132/acm.2021.623
Subject(s) - isotropy , fredholm integral equation , stress intensity factor , crack tip opening displacement , integral equation , materials science , shear (geology) , boundary value problem , mechanics , fourier transform , mathematical analysis , fracture mechanics , physics , mathematics , composite material , optics
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.