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Rate of growth of fatigue cracks calculated from the theory of infinitesimal dislocations distributed on a plane

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Abstract

The Bilby, Cottrell and Swinden crack theory is applied to the problem of the growth of fatigue cracks. It is found that if a total critical displacement is adopted as the fracture criterion. the theory leads to observed growth laws.

Résumé

La théorie de fissure de Bilby, Cottrell et Swinden est appliquée on probème de la croissance des fissures de fatigue. On montre que si l'on adopte un déplacement critique total comme critère de rupture, la théorie conduit aux lois de croissance observées expérimentalement.

Zusammenfassung

Die Risstheorie von Bilby, Cottrell und Swinden wird auf das Problem dès Wachstums der Ermüdungsrisse angewandt. Wehn eine gesamte Kritische Verschiebung als Bauchkriterium angerommen wird, zeigt es sich dass diese Theorie zu der beobachteten Wachstumsgesetzen führt.

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Author information

Authors and Affiliations

  1. Materials Science Department, The Technological Institute, Northwestern University, Evanston, Illinois, U.S.A.

    J. Weertman

Authors
  1. J. Weertman
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Additional information

Based upon paper presented at the International Conference on Fracture, Sendai, Japan, Sept. 1965.

Support by the U.S. Office of Naval Research is acknowledged.

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Weertman, J. Rate of growth of fatigue cracks calculated from the theory of infinitesimal dislocations distributed on a plane. Int J Fract 26, 308–315 (1984). https://doi.org/10.1007/BF00962962

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  • DOI: https://doi.org/10.1007/BF00962962

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