Transverse shear effects for through-cracks in an elastic plate

Yang, Wei; Freund, L. B.

doi:10.1016/0020-7683(85)90111-8

Cited by 101 publications

(52 citation statements)

References 5 publications

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“…In an experimental study by Rosakis and Ravi-Chandar [1986], the method of caustics by transmission and reflection was employed to determine the extent of the three-dimensional crack tip region. They found that plane stress conditions are recovered at a radial distance of around half the plate thickness, which confirms the analytical results of Yang and Freund [1985]. Similar conclusions were made by Pfaff et al [1994] and Humbert et al [2000] who utilized interferometry to determine the out-of-plane displacement field surrounding a mode I crack.…”

Section: And Yuansupporting

confidence: 76%

“…This theory was previously utilized by Yang and Freund [1985] for investigating three-dimensional effects for a semiinfinite crack though only qualitative comparison with experimental results was provided in their work. The methods developed in the current paper are based on the distributed dislocation technique (DDT) and the solution for an edge dislocation in a plate of arbitrary thickness [Kotousov and Wang 2002].…”

Section: And Yuanmentioning

confidence: 99%

“…In the finite thickness plate analysis, it is assumed that plane stress conditions will prevail remotely from the crack tip [Yang and Freund 1985] and therefore the plane stress form of (10) is employed.…”

Section: Semiinfinite Crack In a Finite Thickness Platementioning

confidence: 99%

“…The three-dimensional crack-front stress and displacement fields have been investigated by many researchers including Cruse [1970], Burton et al [1984], Yang and Freund [1985], Nakamura and Parks [1988], Leung and Su [1995] and Nevalainen and Dodds [1995], to name only a few. In particular, Hartranft and Sih [1970] proposed an approximate three-dimensional theory and studied the effects of plate thickness on the stress intensity factor.…”

Section: Introductionmentioning

confidence: 99%

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Out-of-plane stress and displacement for through-the-thickness cracks in plates of finite thickness

Codrington

Kotousov

2008

JOMMS

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The out-of-plane stress and displacement fields are investigated analytically for mode I through-thethickness cracks in an infinite plate of finite thickness within the first-order plate theory. The developed method is based on the distributed dislocation approach and an earlier derived three-dimensional solution for an edge dislocation. Numerical results are obtained through application of Gauss-Chebyshev quadrature for both finite length and semiinfinite crack cases. The calculated stress and displacement fields are found to be in good agreement with already published experimental and finite element studies. Further results for the averaged through-the-thickness stress intensity factor are given and again found to be in good agreement with previous finite element values. The developed solutions can therefore be used in experimental techniques for the assessment of the stress intensity factor using the out-of-plane displacement measurements, for example by the interferometry method.

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Section: And Yuansupporting

confidence: 76%

Section: And Yuanmentioning

confidence: 99%

Section: Semiinfinite Crack In a Finite Thickness Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Out-of-plane stress and displacement for through-the-thickness cracks in plates of finite thickness

Codrington

Kotousov

2008

JOMMS

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“…This theory, to be termed the generalized plane-strain theory, was employed by Yang and Freund [14] to study the three-dimensional stress distribution near the tip of a semi-infinite crack using Wiener-Hopf technique. Their results suggested that the crack-tip field asymptotically approaches that of plane-strain over a distance comparable to plate thickness.…”

Section: Generalized Plane Strain Theorymentioning

confidence: 99%