Calculation of Stress Intensity Factors for Elliptical Cracks in Finite Bodies by Using the Boundary Weight Function Method

[+] Author and Article Information
C.-C. Ma, I-K. Shen

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China

J. Pressure Vessel Technol 121(2), 181-187 (May 01, 1999) (7 pages) doi:10.1115/1.2883684 History: Received March 13, 1997; Revised November 05, 1998; Online February 11, 2008


In this study, mode I stress intensity factors for a three-dimensional finite cracked body with arbitrary shape and subjected to arbitrary loading is presented by using the boundary weight function method. The weight function is a universal function for a given cracked body and can be obtained from any arbitrary loading system. A numerical finite element method for the determination of weight function relevant to cracked bodies with finite dimensions is used. Explicit boundary weight functions are successfully demonstrated by using the least-squares fitting procedure for elliptical quarter-corner crack and embedded elliptical crack in parallelepipedic finite bodies. If the stress distribution of a cut-out parallelepipedic cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple surface integration. Comparison of the calculated results with some available solutions in the published literature confirms the efficiency and accuracy of the proposed boundary weight function method.

Copyright © 1999 by The American Society of Mechanical Engineers
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