Mixed-Mode Transient Analysis of Multiple Interface Cracks Between Half-Plane and Functionally Graded Layer

Abstract

The propagation of multiple interfacial cracks in dissimilar materials under mixed-mode impact loading conditions is investigated in this study. The analytical framework utilized in this investigation is rooted in the distributed dislocation technique. The method of integral transformations is employed to compute stress fields within a medium containing dislocations, positioned at the interface boundary between the half-plane and the functionally graded layer. Dislocation solutions are employed to formulate systems of Cauchy singular integral equations to characterize the traction vector along the surfaces of cracks. These integral equations are solved numerically to determine the dislocation density along the crack surfaces. This information allows for the computation of dynamic stress intensity factors (DSIFs) at the crack tips. The numerical results illustrate the impact of nonhomogeneity parameters, coating thickness, crack length, and interactions between cracks on DSIFs. These findings provide valuable insights into the behavior of graded coatings under impact loads.