Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method
- 16 August 2002
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 69 (5), 626-631
- https://doi.org/10.1115/1.1488938
Abstract
Using a body force method and the finite-part integral concepts, a set of hypersingular integral equations for a vertical crack terminating at an interface in a three-dimensional infinite bimaterial subjected to arbitrary loads are derived. The stress singularity orders and singular stress fields around the crack front terminating at the interface are obtained by the main-part analytical method of hypersingular integral equations. Then, a numerical method for the solution of the hypersingular integral equations in case of a rectangular crack is proposed, in which the crack displacement discontinuities are approximated by the product of basic density functions and polynomials. Numerical solutions for the stress intensity factors of some examples are given.Keywords
This publication has 14 references indexed in Scilit:
- Solution of the Distribution of Stress Intensity Factor Along the Front of a 3D Rectangular Crack by Using a Singular Integral Equation Method.TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 2000
- Self-Similar Crack Expansion Method for Three-Dimensional Crack AnalysisJournal of Applied Mechanics, 1997
- Modelling of growth of three-dimensional cracks by a continuous distribution of dislocation loopsComputational Mechanics, 1997
- An explicit tensor expression for the fundamental solutions of a bimaterial space problemApplied Mathematics and Mechanics, 1997
- Elastic Analyses of Planar Cracks of Arbitrary ShapeJournal of Applied Mechanics, 1995
- A variational boundary integral method for the analysis of 3‐D cracks of arbitrary geometry modelled as continuous distributions of dislocation loopsInternational Journal for Numerical Methods in Engineering, 1993
- Stress Intensity Factors of a Crack Meeting the Bimaterial Interface.TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A, 1993
- Study of a Three-Dimensional Crack Terminating at an InterfaceJournal of Applied Mechanics, 1986
- Antiplane shear crack terminating at and going through a bimaterial interfaceInternational Journal of Fracture, 1974
- Stresses in bonded materials with a crack perpendicular to the interfaceInternational Journal of Engineering Science, 1972