Solution of a Dugdale-Barenblatt crack in an infinite strip by a hyper-singular integral equation

This work treats the case of a Dugdale-Barenblatt crack within an infinite strip through the resolution of a hyper singular integral equation. The crack is perpendicular to the strip boundaries and located at its center. The solution approach is based on second order Chebyshev polynomials and requires meticulous treatment of the jump discontinuities within the loading distribution along the crack faces. The relationship between the width of the strip and the length of the cohesive zone has been established. The variation in applied load with the increase in crack length, considering different ratios of the initial crack length to the strip width is illustrated. Furthermore, the crack propagation is simulated. Validation of our approach is achieved through comparison with both the infinite medium case and the work of H. Tada et al. "The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, Pennsylvania. 1973". .