A plane elasto-static problem is solved for two bonded elastic and isotropic strips with a T-shaped crack. The T-shaped crack consists of a crack perpendicular to the interface and an interface crack. By means of the Airy stress function and Fourier transforms the problem is formulated as a system of integral equations. A new numerical method using only the Gauss-Chebyshev integration formula is proposed to evaluate the integral equations, although the complicated Jacobi polynomial expansion and integration formula were used in the previous literature. Stress intensity factors are obtained numerically for various materials and geometrical parameters, where the interaction between the cracks perpendicular to and on the interface is clearly shown.
All Science Journal Classification (ASJC) codes