On the modified Westergaard equations for certain plane crag problems

Eftis, J.; Liebowitz, Harold

doi:10.1007/bf00191100

Cited by 137 publications

(26 citation statements)

References 8 publications

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“…The stress field of a microcrack subject to a uniform surface traction can be simply expressed in terms of the Westergaard stress function (Westergaard, 1939;Sih, 1966;Eftis and Liebowitz, 1972). The appropriate stress function is…”

Section: The Iterative Methodsmentioning

confidence: 99%

On the Use of Approximation Methods for Microcrack Shielding Problems

Cai

Faber

1992

Journal of Applied Mechanics

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Section: The Iterative Methodsmentioning

confidence: 99%

On the Use of Approximation Methods for Microcrack Shielding Problems

Cai

Faber

1992

Journal of Applied Mechanics

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“…Taken together, they firmly support the UM approach to characterizing the tear crack profile in the BSE. One can see that the crack-mouth compliances calculated from the Eftis-Liebowitz equation [47] are lower than the measured values (Figs. 9 and 10).…”

Section: Resultsmentioning

confidence: 73%

Displacement-Based Assessment of Ductile Tearing under Low-Constraint Conditions

Naumenko¹,

Lenzion²,

Limansky³

2008

TOMEJ

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This paper deals with several issues in the ductile tearing assessment relevant to the fracture criteria and test methods covering the determination of the crack growth resistance under low-constraint conditions. Specifically, the effects of the specimen geometry and size, type and length of the original stress raiser, boundary restraints, load biaxiality, loading history, and plastic anisotropy were studied experimentally. With regard to the problem of transferring crack growth data, our results demonstrate that underlying assumptions of the current concept of ductile tearing evoke a suspicion from different points of view. To clarify the reasons for a gap between the model descriptions and measurements, we put forward an innovative engineering concept enabling through-life assessment of the fracture process in sheet metals.

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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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On the modified Westergaard equations for certain plane crag problems

Cited by 137 publications

References 8 publications

On the Use of Approximation Methods for Microcrack Shielding Problems

On the Use of Approximation Methods for Microcrack Shielding Problems

Displacement-Based Assessment of Ductile Tearing under Low-Constraint Conditions

Westergaard stress functions for displacement-prescribed crack problems?I

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