An efficient BEM to calculate weight functions and its application to bridging analysis in an orthotropic medium

Abstract

An ef®cient boundary element method to calculate crack weight functions is developed. The weight function method is applied to bridging effect analysis in a single-edge notched composite specimen by using a bridging law which includes both interfacial debonding and sliding properties between ®ber and matrix in ceramic matrix composites. A numerical method to solve the distributed spring model treating bridging ®bers as stress distribution to close the crack surface is provided to determine the bridging stress, debond length, crack opening displacement and stress intensity factor.

Stress analysis of composites with interfacial bridged cracks and damaged zones

“…In all these papers interaction between crack faces was not assumed nor considered. Only few papers have been directed to analysis of bridged cracks in finite size structures, two-dimensional problems were considered in [13][14][15], IOP Publishing doi:10.1088/1742-6596/2231/1/012021 2 axisymmetric problems were considered for bridged penny-shaped cracks in homogeneous [16] and transversely isotropic [17] elastic materials. The main objective of this paper is the stress analysis of composite structures with bridged interfacial cracks by the direct boundary integral equations method in axisymmetric formulation.…”