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A path independent integral for computing stress intensities for V-notched cracks in a bi-material

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Abstract

The complex potential method of England is used to formulate the eigenvalue problem for a V-notched crack in a bi-material. The reciprocal work contour integral method of Stern is then extended to yield stress intensities for that configuration. The algorithm was tested on two problems of known solution and was found to be computationally stable and insensitive to finite element idealization error.

Résumé

On utilise la méthode des potentiels complexes de England pour formuler un problème d'eigen-value dans le cas d'une fissure à fond d'entaille en vé dans un bi-matériau. Pour une telle configuration, on procède ensuite à une extension de la méthode de Stern d'intégration sur un contour du travail réciproque jusqu'aux extrémités de contraintes correspondant à plasticité. On teste cet algorithme sur deux problèmes dont la solution est connue par ailleurs, et on trouve qu'il est stable sur le plan des calculs, et insensible à des erreurs par rapport à des éléments finis idéaux.

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Authors and Affiliations

  1. Department of Civil Engineering and Mechanics, University of South Florida, 33620, Tampa, FL, USA

    William C. Carpenter & Curtis Byers

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  1. William C. Carpenter
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  2. Curtis Byers
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Carpenter, W.C., Byers, C. A path independent integral for computing stress intensities for V-notched cracks in a bi-material. Int J Fract 35, 245–268 (1987). https://doi.org/10.1007/BF00276356

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  • DOI: https://doi.org/10.1007/BF00276356

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