Mathematical analysis of fracture behavior for multiple offset interfacial cracks in FGMEE-FGM layers

The fracture initiation likelihood of numerous offset interfacial cracks in a structure that comprises a functionally graded magneto-electro-elastic (FGMEE) layer, which is sandwiched between two distinct functionally graded material (FGM) layers of equal thickness, is examined in this study. One of the offset cracks is located centrally at the interface between the FGMEE strip and one FGM layer, while the other two are positioned symmetrically along the interface of the FGMEE and another FGM layer. The cracks are idealized as impermeable and are under the influence of in-plane magnetic and electric, and anti-plane mechanical loadings. The governing partial differential equations are reduced to a set of first-kind integral equations of singular type with the help of an integral transform approach. Owing to the complexity of the kernel, a numerical solution based on the Chebyshev polynomial is employed. At last, the expressions of stress intensity factor (SIF) are obtained at the crack tips. A comparative assessment is used to validate the findings. The study highlights, through detailed graphical illustration, the consequence of strips’ width ratio, non-homogeneity parameter ratio, interfacial crack length ratios, and applied electric–magnetic loadings on the normalized SIFs.