Analysis on the propagation of crack in a functionally graded orthotropic strip under pre-stress

Abstract

This study presents an analytical analysis on the propagation of a semi-infinite crack in a pre-stressed functionally graded orthotropic strip (FGOS) impacted by the propagation of horizontally polarized shear waves. The Wiener–Hopf technique and two-sided Fourier integral transforms have been employed in the solution treatment of the model to achieve the closed-form expression of the stress intensity factor (SIF) for the force of constant intensity (CF). The effect of crack speed, crack length, horizontal compressive pre-stress/horizontal tensile pre-stress, vertical compressive pre-stress/vertical tensile pre-stress, functional gradient parameter, and anisotropy parameter on the SIF in a pre-stressed FGOS has been unraveled through numerical computation and graphical demonstration. Furthermore, some special cases have been deduced from the derived expression of the SIF for CF. The comparative analysis has been made for the SIF in the considered strip with distinct configuration. Moreover, for the sake of validation, the obtained results for CF with constant load have been matched with the pre-established results as a special case of the problem.