Three-dimensional stress concentrations at elliptic holes in elastic isotropic plates subjected to tensile stress

She, Chongmin; Guo, Wei

doi:10.1016/j.ijfatigue.2006.03.012

Cited by 77 publications

(60 citation statements)

References 16 publications

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“…In addition, the simplification is made that the dislocation Burgers vector and each of the triaxial stress components are uniform across the thickness of the plate and are equal to the average through-the-thickness values. Results obtained from this theory have been shown to be in good agreement with the through-the-thickness averages from careful three-dimensional FE studies [Berto et al 2004;Kaèianauskas et al 2005;She and Guo 2007a]. The y direction influence function for the case of a finite thickness plate is determined by Kotousov and Wang [2002] as…”

Section: Semiinfinite Crack In a Finite Thickness Platesupporting

confidence: 61%

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: Semiinfinite Crack In a Finite Thickness Platesupporting

confidence: 61%

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

Codrington

Kotousov

2008

JOMMS

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“…Elliptical coordinates and complex functions are used to arrive at the solution, which then provides the stress distribution in the entire plate. Exhaustive stress-concentration factor figures and tables have been published by Pilkey (1997) and Young (Young and Budynas 2002) which account for a wide variety of possible specimen configurations. However, many of these readily available sources of stress concentration factors were only based on the twodimensional theory of elasticity solution.…”

Section: Introductionmentioning

confidence: 99%

“…The influence of the plate thickness on a 3D stress field near the notch root was examined by Li et al (Li et al 2000;Li and Guo 2001) using the finite element method. The influence of Poisson's ratio on the thickness-dependent stress concentration factor (SCF) along the root of elliptical holes in elastic plates subjected to tension, was investigated and some empirical formulae obtained by fitting the numerical results (She and Guo 2007;Yu et al 2008). It has been confirmed that the location of maximum SCF is not always at the mid plane and the locations of the maximum stress and maximum strain concentration factors are not the same for a plate with a circular hole (Yang et al 2008).…”

Section: Introductionmentioning

confidence: 99%

The stress and strain concentrations of an elliptical hole in an elastic plate of finite thickness subjected to tensile stress

Yang

2009

Int J Fract

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The elastic stress and strain fields in a plate of finite thickness containing an elliptical hole are systematically investigated using the 3D finite element method. It is found that the stress and strain concentrations are different in the plate of finite thickness even if the plate is in an elastic state. The relation between the stress and the strain concentration factors depends on Poisson's ratio, the hole's geometric configuration and the plate thickness. The stress concentration factor is equal to the strain concentration factor only at the notch root of the plate surface. The stress (or strain) concentration factor at the notch root of the plate surface decreases rapidly with increasing thickness and becomes lower than the stress and strain concentration factors corresponding to the plane stress state or at the notch root of the mid plane. It is too low to reflect the overall stress concentration as the thickness increases or as the b/a ratio decreases. The maximum stress concentration factor occurs on the mid plane only when the plate is thinner than the transition thickness of the stress concentration factor. When the plate is thicker than the transition thickness of the stress concentration factor, the distance between the location of the maximum stress concentration factor and plate surface tends to be constant with increasing thickness for the plate with a given b/a ratio. The differences between the maximum value and the surface value of the stress and strain concentration factors increase rapidly and tend to their respective constant values with increasing plate thickness. The smaller the b/a ratio, the larger these differences. The difference of the stress concentration factor is larger than that of the strain concentration factor in the same plate.

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“…However, it has a tendency to develop critical crack growth because of the stress concentration. In modern structures designed to carry high loads, stress concentration becomes the most serious issue in the safe design and maintenance (Li et al 2000;She and Guo 2007a).…”

Section: Three-dimensional Effects On the Stress Concentrations At Nomentioning

confidence: 99%

“…The variations of the stress and strain along the thick direction have not been solved theoretically yet. The actual 3D stress fields in the neighborhood of the notch root are very complex (Li and Guo 2001;She and Guo 2007a); the strong 3D effect substantially increases the difficulty of obtaining rational solutions for the local stress fields.…”

Section: Three-dimensional Effects On the Stress Concentrations At Nomentioning

confidence: 99%

Three-dimensional stress fields near notches and cracks

2008

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Structures with notches have a tendency to develop critical crack growth because of the stress concentration. The strength of the structures with stress gradient usually shows strong three-dimensional (3D) effects even under in-plane loading. The commonly twodimensional (2D) models for fracture assessments of bodies with notches and cracks may lead to inaccurate predictions when in-plane loading is applied to certain 3D geometries. In the paper, the recent researches on the 3D effects of stress concentrations at notches and 3D stress fields of cracks are summarized. A new concept of equivalent thickness of the point on the crack front line is proposed based on the detailed analyses of the 3D out-ofplane stress fields of cracks, and then new empirical formulae of the 3D out-of-plane stress constraint factor T z of I-II mixed-mode cracks are obtained by use of the equivalent thickness. Combining the T z with the in-plane constraint parameters T or Q, the 3D multi-parameter descriptions of the stress field in front of various types of cracks using K -T z , J -T z , K -T -T z and J -Q-T z combination can be formulated.

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Three-dimensional stress concentrations at elliptic holes in elastic isotropic plates subjected to tensile stress

Cited by 77 publications

References 16 publications

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

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

The stress and strain concentrations of an elliptical hole in an elastic plate of finite thickness subjected to tensile stress

Three-dimensional stress fields near notches and cracks

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