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On the Three-Dimensional Theory of Cracked Plates

Journal of Applied Mechanics, 1975
This paper discusses a method for solving three-dimensional mixed-boundary-value problems which arise in elastostatics. Specifically, the method is applied to a plate of finite thickness which contains a finite, through the thickness, line crack. The analysis shows that (a) in the interior of the plate only the stresses σx, σy, σz, τxy are singular of ...
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Stress intensity factors for three-dimensional cracks

International Journal of Fracture, 1978
The method of superposition of analytical and finite-element solutions is proposed for determining three-dimensional distributions of the stress intensity factor; the singular part of the solution is expressed by a linear combination of analytical solutions, and the rest by a finite-element solution.
Yoshiyuki Yamamoto, Yoichi Sumi
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Three-dimensional effects in interfacial crack propagation

Experimental Mechanics, 1992
The paper describes the use of crack-opening interferometry for examining the variation in normal crack-opening displacements (NCOD) along the front of an interfacial crack in an edge-cracked bimaterial strip under biaxial loading. For the glass/epoxy combination considered here, the crack front was concave in the direction of crack growth, in contrast
K. M. Liechti, Y. -S. Chai, Y. -M. Liang
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Singular stress field of three-dimensional crack

Engineering Fracture Mechanics, 1990
Abstract The general expression for three-dimensional stress distribution around a flat crack under arbitrary loadings is proved and discussed. Conditions under which the expression is valid or invalid are presented. A closed form solution for singular stress field at the intersection of a crack border with a free surface is obtained.
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Three-dimensional assessments of crack tip constraint

Theoretical and Applied Fracture Mechanics, 2019
Abstract Crack tip constraint can be used as a means to relate the stresses at the crack tip to a measure of fracture toughness of a material. Current technique to determine crack tip constraint demonstrated in structural integrity standards are based on two-dimensional plane strain approach.
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Three-dimensional problem of a running crack

International Journal of Engineering Science, 1979
Abstract The problem of an uniformly propagating finite crack in an infinite medium is solved using the dynamic equations of elasticity in 3-dimensions. Equal and opposite tractions are applied arbitrarily to the crack surfaces. The problem is reduced to the dual integral equations and solved with the aid of the series method.
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Three Dimensional Stress Fields in Cracked Plates.

1980
Abstract : A theoretical investigation was made for the determination of the three dimensional stress field of a cracked plate, of an arbitrary thickness, 2h, and subjected to a uniform external load of mode I. The displacement and stress fields are expressed in terms of the displacement V projected onto the plane containing the crack.
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Three-dimensional crack analysis

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1979
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