On the dynamic mode-III crack in the elastic continuum consisting of sandy properties

Abstract


The aim of the present investigation is to come up with a mathematical model for the dynamic mode III crack in an elastic continuum consisting of sandy properties. For the analysis of the propagating mode-III crack due to the propagating Love-type wave in an elastic continuum consisting of sandy properties, the results for the stress intensity factor (SIF) and crack opening displacement (COD) have been developed in closed form. The complex variable integral transform mathematical methods consisting of the two-sided Fourier integral transform, along with the Weiner-Hopf technique, serve as a salient feature of the adopted mathematical treatment for determining the SIF and COD in the closed form. Moreover, the expressions for the SIF and COD for the limiting static mode-III crack have also been obtained and deduced for special cases of elastic medium. The effects of existing parameters, viz. dry sandiness parameter, depth of crack, crack velocity on the SIF and COD . The effect of physical materials parameters has been shown numerically as well as graphically.

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

“…Additionally, CS beams are extensively used in a number of technical disciplines such as microfluidic systems, manipulating and sorting microparticles, micro-resonators, etc. Some works can be found in the literature dealing with crack propagation in media containing micro-scale properties, such as Singh et al [54], Singh et al [55], Singh et al [56], Yadav [57], etc. Some works on wave propagation aspects in fiber-reinforced composite media were done by Guha and Singh [58], Othmani et al [59], Singh et al [60], Singh et al [61], Singh et al [62], Singh et al [63], Singh et al [64], Guha and Singh [65], Guha and Singh [66], etc owing to the immense potential advantages of the considered composites compared to their monolithic counterparts.…”

Anisotropy and magnetoelasticity effects on the propagation of the SH-wave-induced semi-infinite crack in a magnetoelastic orthotropic medium

“…Hou et al [20] explored the seismic analysis of non-homogeneous slopes with cracks using the discretization kinematic technique. Singh et al [21] Liu et al [35], Yadav and Renu [36], to name a few.…”