Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Abstract

The problem of a semi-infinite moving mode-III crack inside a semi-infinite isotropic half--space is considered. The crack is located between a semi-infinite elastic medium and a layer whose distance from the surface to crack depth is h. Initially, Fourier transformation and inverse Fourier transformation are applied to transfer the governing boundary value problem to the well-known Wiener-Hopf equation. The purpose of this problem is to obtain the analytical solution of Stress Intensity Factor (SIF) and Crack Opening Displacement (COD) at the neighbourhood of the crack tip. In numerical Section, I have discussed the variation of parameters (crack velocity, layer distance h from the surface to crack depth) to show the effect of these parametric values on the graphs of SIF and COD where the material properties (density, shear modulus) were fixed.

Magnetoelastic effect on semi‐infinite moving crack in an orthotropic structure influenced by anti‐plane wave

“…1 (the black one) is for without magnetoelasticity in the Figures 9 and 10 for purely orthotropic and isotropic medium respectively. The nature of these two curve shows the total agreement to the Figures 3 and 4 of the study of karan et al [20] and Figures 3 and 4a,b of findings of Mondal [19]. Although the expression of SIF is deduce in special case section 6 (see case-II and case-III) for orthotropic and isotropic medium without magnetoelasticity.…”

“…Singh et al [18] studied moving sem-infinite crack in sandwiched orthotropic strip. Mandal [19] studied the mode-III moving crack problem for isotropic medium and then it was explored by Karan et al [20] for material orthotropy. Considering the semi-infinite moving crack at interface of two orthotropic layer, Trivedi and Das [21] studied for anti-plane shear wave.…”

“…[18] studied moving sem‐infinite crack in sandwiched orthotropic strip. Mandal [19] studied the mode‐III moving crack problem for isotropic medium and then it was explored by Karan et al. [20] for material orthotropy.…”

Dynamic propagation of mode III cracks in a Lattice Boltzmann method for solids

“…In [31], it is shown that the steady-state stress intensity factor for the problem described above is…”

“…The analytical solution for the SIF by Mandal [31] is based on the assumption of a quasi-stationary problem. This implies certain constraints on the geometry of the domain and the prescribed boundary conditions.…”