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Periodic edge cracks of unequal length in a semi-infinite tensile sheet

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Abstract

A two-dimensional stress analysis for the treatment of periodic edge cracks of unequal length in an elastic half plane under tension is presented. The method is based on the use of selected polynomial mapping approximations derived from a series expansion of the exact mapping function and the application of the Muskhelishvili analysis. The case of edge cracks equally spaced, alternating in length, and normal to the edge is considered in detail. Additional results are presented for the case of oblique cracks of constant spacing and equal depth. The data predicts a critical stage of crack growth based on the physical phenomena of crack closure

Résumé

On présente une analyse des contraintes suivant deux dimensions pour l'étude de fissures d'inégales longueurs qui sont disposées de manière périodique en bordure d'un demi-plan élastique soumis à tension. La méthode est basée sur des approximations sélectives de fonctions de contours polynômales qui découlent du développement en série de la fonction de contour exact, et de l'application de l'analyse de Muskhelishvili.

On considère dans le détail le cas des fissures de bord équidistantes, de longueurs alternantes, et normales à l'arête du bord.

Des résultats supplémentaires sont présentés pour le cas où les fissures sont obliques, équidistantes et de longueurs égales. Les données recueillies permettent de prévoir un stade critique de la propagation de la fissure en se basant sur les phénomènes physiques qui accompagnent la fermeture des fissures

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References

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Authors and Affiliations

  1. Army Material and Mechanics Research Center, 02172, Watertown, Mass., USA

    C. E. Freese

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  1. C. E. Freese
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Freese, C.E. Periodic edge cracks of unequal length in a semi-infinite tensile sheet. Int J Fract 12, 125–134 (1976). https://doi.org/10.1007/BF00036015

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  • DOI: https://doi.org/10.1007/BF00036015

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