A SEMI-ANALYTICAL DISCRETIZATION METHOD FOR THE NEAR-FIELD ANALYSIS OF TWO-DIMENSIONAL MULTIMATERIAL WEDGES UNDER PLANE STRAIN CONDITIONS

摘要

Many engineering structures contain geometric discontinuities such as e.g. cracks, notches, cutouts and/or holes. Furthermore, especially when dealing with layered structures, material discontinuities such as interfaces between dissimilar materials are also encountered. Naturally, mixed forms of discontinuities often also occur, e.g. cracks in interfaces of composite laminates. Fig. 1 shows an example for an according structural situation which consists of a notched plate under some far field loading and which is composed of several dissimilar isotropic materials wherein the notch is characterized by the opening angle γ. The plate includes an arbitrary number of interfaces that share one common point of intersection at the tip of the notch where a cylindrical coordinate system x{sub}1, r, Φ and an orthonormal coordinate system x{sub}1, x{sub}2, x{sub}3 are located.