Stress Intensity Factor of Dynamic Crack in Double-Layered Dry Sandy Elastic Medium due to Shear Wave under Different Loading Conditions

Abstract

This study deals with the deduction of the stress intensity factor (SIF) for the propagation of rectilinear semi-infinite noncentrally located interfacial crack influenced by propagating SH-waves in the framework of two different dry sandy layers composed of a strip under various loading conditions. Two-sided Fourier integral transform, Liouville's, and Abel's theorem along with the Wiener–Hopf technique serve as a salient feature of the adopted mathematical treatment. The analysis has been carried out for constant loading (CL) and stress-free (SF) cases under nonharmonic loading (NHL), and for constant amplitude of vibration (CAV) and SF cases under harmonic loading (HL). Moreover, the expression of SIF for the static crack has been obtained under various conditions of NHL and HL as a limiting case. The effects of various existing parameters, viz., dry sandiness ratio, width ratio, sandiness parameter of upper and lower layers, inhomogeneity parameter on the SIF for the previously mentioned cases along with comparative analysis for differently configured dry sandy elastic strips have been investigated numerically as well as graphically.