A critical re-examination of the westergaard method for solving opening-mode crack problems

Sanford, R. J.

doi:10.1016/0093-6413(79)90033-8

Cited by 141 publications

(43 citation statements)

References 4 publications

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“…This was by no means clear a priori, but the model itself was a first order approximation to a single known influence of such shielding. Pacey et al (2005) employed the Muskhelishvilian (1977) approach of which the 'generalized' Westergaard equations are a special case (Sanford 1979). Westergaard's equations are only applicable to a class of problems dealing with a centre crack in an infinite plate under equi-biaxial tension at infinity; this was shown by Sih (1966) using the Muskhelishvili (or Goursat-Kolosov) complex representation of the plane problem.…”

Section: Introductionmentioning

confidence: 99%

Towards a new model of crack tip stress fields

et al. 2007

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This work introduces a novel mathematical model of the stresses around the tip of a fatigue crack, which considers the effects of plasticity through an analysis of their shielding effects on the applied elastic field. The ability of the model to characterize plasticity-induced effects of cyclic loading on the elastic stress fields is assessed and demonstrated using fullfield photoelasticity. The focus is on determining the form of the shielding stress components (induced by compatibility requirements at the elastic-plastic interface along the crack flank and via the crack tip plastic zone) and how they influence the crack tip elastic stress fields during a load cycle. The model is successfully applied to the analysis of a fatigue crack growing in a polycarbonate CT specimen.

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Section: Introductionmentioning

confidence: 99%

Towards a new model of crack tip stress fields

et al. 2007

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“…In this method the strains are represented by three/four parameter series. The generalized Westergaard approach [Sanford 1979] is employed to determine the strain series and subsequently K I . The chief advantage of the Dally-Sanford approach is that only a single strain gage is sufficient to determine the mode I SIF, which can be placed at distances far away from the crack tip.…”

Section: Introductionmentioning

confidence: 99%

Determination of mode I stress intensity factors of complex configurations using strain gages

Swamy

Srikanth

Murthy

et al. 2008

JOMMS

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Among techniques for the determination of the mode I stress intensity factors (SIFs), strain gage procedures are the simplest and most straightforward. We report here on an experimental investigation of the determination of opening mode stress intensity factors using the single strain gage method. Our approach overcomes certain drawbacks and greatly widens the applicability of strain gage methods in the determination of static SIFs of complex configurations. The approach was tested through experiments on specimens of finite width and finite height edge-cracked plates (fully finite plates) subjected to tensile stress. We compared the experimentally determined mode I stress intensity factors of fully finite plates with the computed values using finite element analysis, obtaining good agreement between the present approach and computed values.

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“…References [10][11][12][13][14][15] clarify this and show that completeness requires the existence of the constant A appearing in (6) and (7). On the other hand, for the problems treated in this paper the normal stresses in the x-and y-directions at infinity are either equal to each other or equal to zero, i.e.…”

Section: K= 3 -4 V = (3 -V)/(~ + V)mentioning

confidence: 99%

Westergaard stress functions for displacement-prescribed crack problems?I

1993

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The single stress function approach of Westergaard has been effective for a certain class of stress-prescribed crack problems. In the present study, the Westergaard approach was successfully extended to displacement-prescribed crack problems. The method presented, which requires no more than the evaluation of integrals, significantly simplifies the analysis. The method is easily extended to crack problems involving displacement-prescribed and stress-prescribed conditions. This initial study laid the ground work for the subsequent extension to the mixed problem.

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A critical re-examination of the westergaard method for solving opening-mode crack problems

Cited by 141 publications

References 4 publications

Towards a new model of crack tip stress fields

Towards a new model of crack tip stress fields

Determination of mode I stress intensity factors of complex configurations using strain gages

Westergaard stress functions for displacement-prescribed crack problems?I

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