Stress impact on collinear Griffith cracks for diffraction of primary waves

In the present work, the diffraction of P-waves is examined in two bonded, dissimilar infinite strips containing an array of collinear Griffith cracks along their interface to stop this type crack expansion. The presence of collinear cracks causes diffraction behavior similar to that observed when vertical clamped boundaries exist at the midpoint between adjacent cracks. To address this, a mixed boundary value problem with appropriate boundary conditions are considered here. By applying suitable integral transform techniques, the problem is reduced to a Fredholm integral equation of the second kind. This integral equation is then solved numerically by using the method of Fox and Goodwin to evaluate the stress intensity factor and other relevant physical quantities near the crack tips. The analysis of these quantities demonstrates that damage detection is feasible within a specific range of wave frequencies by controlling the applied load. Graphical results illustrate the stress intensity factor, normal stress distribution within the crack region, and crack opening displacement at low frequencies for different isotropic materials. Our findings indicate that crack propagation can be identified within a certain frequency band, which is crucial for predicting material failure and assessing structural integrity in applications such as aircraft, bridges, and rotors.