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A boundary element solution of the edge crack problem

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Abstract

The equations of the boundary element method and of a stressed semi-infinite crack in an infinite plane are combined to formulate the solution to the finite edge cracked plate. The coupled integral equations are solved numerically by the most elementary form of the boundary element method and by Gaussian quadrature. Results for the stress intensity factor and crack opening displacements are presented for several fundamental problems.

Résumé

On combine les équations de la méthode des contours élémentaires et d'une fissure semi-infinie soumise à contrainte dans une plaque infinie en vue de formuler la solution applicable à une plaque finie fissurée sur ses bords. Les équations intégrales couplées sont résolues de manière numérique par la forme la plus simple de la méthode des contours élémentaires ainsi que par une quadrature de Gauss. On présente les résultats pour le facteur d'intensité de contrainte et pour le déplacement d'ouverture de la fissure dans le cas de divers problèmes fondamentaux.

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Authors and Affiliations

  1. Department of Engineering Science and Mechanics, Iowa State University, 50011, Ames, Iowa, USA

    Thomas Rudolphi

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  1. Thomas Rudolphi
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Rudolphi, T. A boundary element solution of the edge crack problem. Int J Fract 18, 179–190 (1982). https://doi.org/10.1007/BF00032273

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  • DOI: https://doi.org/10.1007/BF00032273

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