On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip

Abstract

Abstract The present study focuses on the propagation of a Griffith crack in an infinitely extending finitely thick transversely isotropic dry sandy strip with moving parallel punch pressure acting at the bounding surface of the layer because of the propagation of plane waves under mechanical point loading. Furthermore, the present model is developed using coupled singular integral equations, Dirac delta function & Cauchy-type singularities; it is applied to investigate the point load at the moving crack edge, and Hilbert transformation properties are also used to derive the stress intensity factor (SIF) with constant point loading in closed form. Numerical computation & graphical demonstrations have been provided to examine the influence of the prevailing parameters, viz. length & speed of the crack, pressure of the punch, sandiness parameter and different positions of point load, on the SIF for transversely isotropic dry sandy and also for isotropic material strips. A comparative study of the SIF at the tip of moving crack has been carried out for the transversely isotropic dry sandy strip and isotropic materials strip with and without punch pressure and sandiness to highlight some of the important peculiarities of the problem.