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Journal ArticleDOI

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

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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Book ChapterDOI

On an Interface Elliptic Crack

TL;DR: In this article, the authors considered the three-dimensional problem of an elliptic crack located at the interface between two bonded dissimilar elastic half-spaces and crack faces subjected to normal pressure equal in magnitude and opposite in direction.
Journal ArticleDOI

Comparison of two numerical procedures for solution of the integro-differential equation of flat crack problem

TL;DR: In this paper, a general approach for numerical treatment of the integro-differential equation of flat crack problem is considered, which consists in presenting the crack surface loading as a set of polynomial functions of two Cartesian coordinates while the corresponding crack surface displacements are chosen as similar polynomials multiplied by the function of form.

Mixed mode two dimensional weight functions for the subsurface elliptical cracks under normal loadings

TL;DR: In this paper, the authors propose a framework for the identification of the most important parts of a person's body in order to identify the parts of the body that need to be covered by the person.

4081 - ddsim: a next generation damage and durability simulator

TL;DR: In this paper, the authors present DDSim Level II, a next generation damage and durability simulator for structural components with a hierarchical search-and-simulation strategy, which uses the principle of superposition to combine stress fields from an uncracked structure with analytical stress intensity factor solutions for internal, surface and corner cracks.
Journal ArticleDOI

Elliptical crack and punch problems solved by integral equation method for piezoelectric media

TL;DR: In this article, the problem of an elliptical crack embedded in an unbounded transversely isotropic piezoelectric media with the crack-plane parallel to the plane of isotropy of the media and subjected to remote normal mechanical as well as electric loading is considered.
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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