An interfacial arc-shaped Zener–Stroh crack due to inclusion–matrix debonding in composites

摘要

Stress analysis has been carried out for a curved interfacial Zener–Stroh crack between a circular inclusion and an infinite matrix due to interface debonding in a composite. Using the distributed dislocation technique, the physical problem is formulated into singular integral equations of the 2nd kind. With the Jacobi polynomials and Gauss-Legendre integration methods, the integral equations are discretized and solved numerically. The stress intensity factors and energy release rates of the curved crack are evaluated accordingly. In the numerical examples, the effects of half debonding angle, the Dundurs’ constants, and the loading ratio b_x~T /b_y~T on the stress intensity factors and the energy release rates are analyzed in detail. It is found that the stress intensity factors are greatly affected by the half debonding angle, the Dundurs’ constant β and the loading ratio b_x~T /b_y~T, while the influence of Dundurs’ constant α is relatively small especially when the loading ratio is close to zero.