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Lattice theory of three-dimensional cracks

Journal of Applied Physics, 1976
The problem of the stability of a three-dimensional crack will be analyzed within a lattice-statics approximation. Hsieh and Thomson employed a similar approach for a two-dimensional crack. In that work the force was taken to be linear up to an arbitrary displacement and set equal to zero for larger displacements.
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Three-Dimensional Elastic Surface Cracks

1988
This paper discusses a variety of issues associated with the elastic fracture mechanics modeling of surface cracks; both analytical and experimental issues are addressed. The primary analytical focus is on the use of the boundary integral equation method for elastic fracture mechanics analysis. An advanced code is highlighted.
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Three Dimensional Effects in Interfacial Crack Growth

Applied Mechanics Reviews, 1990
An increase of interfacial toughness, associated with increases in in-plane or antiplane shear components, has been noted for a number of bimaterial combinations. Some recent results are reviewed which suggest that the toughening effect could not be completely accounted for by plastic dissipation, bulk viscoelastic dissipation or asperity shielding ...
K. M. Liechti, Y.-S. Chai
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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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Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies

International Journal for Numerical Methods in Engineering, 2008
AbstractThe development of a new finite element technique for the simulation of discontinuous failure phenomena in three dimensions is the key objective of this study. In contrast to the widely used extended finite element technique, we apply a purely deformation‐based strategy based on an independent interpolation of the deformation field on both ...
Jäger, P., Steinmann, P., Kuhl, E.
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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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