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.
Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, June 20, 2001; final revision, November 5, 2001. Associate Editor: J. R. Barber. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Chair, Department of Mechanics and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Qin, T. Y., and Noda, N. A. (August 16, 2002). "Analysis of a Three-Dimensional Crack Terminating at an Interface Using a Hypersingular Integral Equation Method ." ASME. J. Appl. Mech. September 2002; 69(5): 626–631. https://doi.org/10.1115/1.1488938
Download citation file: