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On the modified Westergaard equations for certain plane crag problems

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International Journal of Fracture Mechanics Aims and scope Submit manuscript

Abstract

An error in Westergaard's equation for a certain class of plane crack problems, originally pointed out by Sib, is briefly discussed anew. The source of the difficulty is traced to an oversight in an earlier work by MacGregor, upon whose work Westergaard based his equations. Several examples of interest illustrating the consequences of the necessary correction to these equations are given.

Résumé

On discute brièvement une erreur, qui a été signalée à l'origine par Sih, dans l'équation de Westergaard relative à une certaine catégorie de problèmes de fissures planes.

L'origine de la difficulté réside dans une surestimation faite par MacGregor dans un travail antérieur, sur lequel Westergaard a basé ses équations.

On donne plusieurs exemples intéressants qui illustrent les conséquences des corrections qu'il est nécessaire d'apporter à ces équations.

Zusammenfassung

Ein Fehler in Westergaard's Formel für eine gewisse Klasse von Flächenrißproblemen, auf den schon Sih hingewiesen hatte, wird besprochen.

Der Ursprung dieser Schwierigkeit liegt in einem Versehen das McGregor in einer früheren Arbeit unterlaufen ist, auf welcher Westergaard's Formeln aufgebaut sind.

Die Konsequenzen die sich aus den für these Formeln erforderlichen Korrekturen ergeben, werden an Hand verschiedenerinteressanter Beispiele nachgewiesen.

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References

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Authors and Affiliations

  1. School of Engineering and Applied Science, The George Washington University, Washington, D.C., USA

    J. Eftis & H. Liebowitz

Authors
  1. J. Eftis
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  2. H. Liebowitz
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Eftis, J., Liebowitz, H. On the modified Westergaard equations for certain plane crag problems. Int J Fract 8, 383–392 (1972). https://doi.org/10.1007/BF00191100

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  • DOI: https://doi.org/10.1007/BF00191100

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