Boundary Weight Functions for Cracks in Three-Dimensional Finite Bodies
Journal
The Chinese Journal of Mechanics
Journal Volume
15
Journal Issue
1
Date Issued
1999
Date
1999
Author(s)
Shen, I-Kuang
Abstract
An efficient boundary weight function method for the determination of mode I stress intensity factors in a three-dimensional cracked body with arbitrary shape and subjected to arbitrary loading is presented in this study. The functional form of the boundary weight functions are successfully demonstrated by using the least squares fitting procedure. Explicit boundary weight functions are presented for through cracks in rectangular finite bodies. If the stress distribution of a cut out rectangular 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 integration. Comparison of the calculated results with some solutions by other workers from the literature confirms the efficiency and accuracy of the proposed boundary weight function method.
Other Subjects
Cracks; Functions; Integration; Least squares approximations; Load testing; Stress analysis; Stress concentration; Stress intensity factors; Boundary weight functions; Structural analysis
Type
journal article
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