Interaction among interfacial offset cracks in composite materials under the anti‐plane shear loading

Abstract

The present article considers an anti‐plane stress problem of three cracks at different orthotropic materials' interfaces. According to the geometry of the problem, the governing equations and mixed boundary conditions have been formulated. Fourier integral transformation is used to convert the mixed boundary value problem into dual integral equations, which gives two equations containing infinite series. The investigation of the problem concerning anti‐plane cracks subjected to static loadings is done with the help of the Schmidt method to satisfy the given boundary conditions. The difference in displacements is expanded to proceed further in the problem, which becomes zero outside the cracks. Numerical computations are carried out for the graphical representation of stress intensity factors (SIFs) at all cracks' tips. The Interaction among the cracks as those are in close proximity to each other or move away are represented pictorially. Detailed numerical results and discussion are done for the considered materials, which include aluminium, epoxy and graphite epoxy. The novelty of the present article is the numerical analysis and pictorial presentation of SIFs at the tips of interfacial offset parallel cracks for various crack lengths and normalised heights for different combinations of materials. The authors have obtained variations in SIFs for the cracks at the interfaces of dissimilar composite materials.

Calculation of Stress Intensity Factor for Annular Double Cracks on Inner Surface of Pipeline

“…Many scholars have conducted more mature studies on double cracks on flat plates or other structures. Tanwar et al [16] investigated the problem of antiplane stress at the interface of a composite material and obtained the variation in the stress intensity factor at the crack tip for three cracks with different crack lengths and different material combinations. Anis et al [17] studied the problem of double cracking in flat plates, examined the factors affecting the interaction between double cracks, and gave a formula for calculating the double crack stress intensity factor.…”