AN INTERFACIAL ARC CRACK IN BONDED DISSIMILAR ISOTROPIC LAMINATED PLATES

摘要

We consider an arc-shaped crack lying along the interface of a through-thickness circular elastic inhomogeneity in an infinite isotropic laminated thin plate subjected to bending and stretching within the context of classical Kirchhoff theory. A novel Stroh-type formalism is developed to reduce the original boundary value problem to a nonhomogeneous Riemann-Hilbert problem of vector form. The latter is solved analytically using a matrix diagonalization scheme. Elegant closed-form solutions are obtained for the stress resultants, in-plane displacements and slopes everywhere in the composite when the plate is subjected to remote uniform membrane stress resultants and bending moments. In particular, the surface stress resultants and surface bending moment along the bonded part of the interface, the jump in the generalized displacement vector across the debonded segment of the interface and the two complex intensity factors at each of the two crack tips are given in explicit form.