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Journal ArticleDOI

Weight function for an elliptic crack in an infinite medium. I. Normal loading

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TLDR
In this paper, an integral equation method has been used to derive the crack opening displacement of an elliptic crack in an infinite elastic medium subjected to a concentrated pair of point force loading at an arbitrary location on the crack faces.
Abstract
A recently developed integral equation method has been used to derive the crack opening displacement of an elliptic crack in an infinite elastic medium subjected to a concentrated pair of point force loading at an arbitrary location on the crack faces. These results have been used to obtain the stress intensity factor along the elliptic crack front which corresponds to the weight function for an elliptic crack under normal loading. Analytical expression of the weight function can be used to derive the stress intensity factor for both polynomial loading as well as non-polynomial loading.

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Investigation of Stress Intensity Factor for Overloaded Holes and Cold Expanded Holes

TL;DR: In this paper, a weight function approach is used to determine stress intensity factors for cracks in residual stress fields, due to three types of overloads for holes in metallic plates with and without subsequent remote loading.
References
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Journal ArticleDOI

Some remarks on elastic crack-tip stress fields

TL;DR: In this paper, it was shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factors for any other symmetric load system whatsoever on the same body may be directly determined.
Journal Article

A novel principle for the computation of stress intensity factors

TL;DR: In this paper, a state of plane strain in a notched or cracked elastic domain under the action of boundary tractions is considered, and the stress intensity factor K at a root of a notch can be re presented in the form of a weighted average of the tractions.
Book ChapterDOI

Mechanics of Fracture

TL;DR: In this article, the theoretical strength of crystalline solids is derived based on idealised forms of atomic force-displacement curves, in which the force is defined as the differential with respect to distance of the interatomic or inter-ionic energy.
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