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Mixed-mode Bueckner weight functions using boundary element analysis

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Abstract

A Bueckner singular displacement field is incorporated into the boundary element method in order to calculate weight functions for mixed mode stress intensity factor in a two-dimensional cracked body. Weight functions for modes I and II can be calculated independently and hence the factors K I and K II can be obtained for any arbitrary loading on any boundary. Results are obtained for some slant crack problems in finite sheets and compared with known results where available.

Résumé

On incorpore à la méthode des éléments dans un contour un champ singulier de déplacements de Bueckner en vue de calculer les fonctions pondérales qui caractérisent le facteur d'intensité pour un mode mixte dans un corps bidimensionnel fissuré. Les fonctions pondérales relatives aux Modes I et II peuvent être calculées indépendamment. Dès lors, les facteur K I et K II peuvent être obtenus pour toute charge arbitraire agissant sur un contour quelconque. On obtient des résultats pour divers problèmes de fissures et on les compare à des résultats connus, lorsque ceux-ci sont disponibles.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, The University, Southampton, UK

    M. H. Aliabadi & D. J. Cartwright

  2. Materials and Structures Department, Royal Aircraft Establishment, Farnborough, Hampshire, UK

    D. P. Rooke

Authors
  1. M. H. Aliabadi
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  2. D. P. Rooke
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  3. D. J. Cartwright
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Aliabadi, M.H., Rooke, D.P. & Cartwright, D.J. Mixed-mode Bueckner weight functions using boundary element analysis. Int J Fract 34, 131–147 (1987). https://doi.org/10.1007/BF00019768

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  • DOI: https://doi.org/10.1007/BF00019768

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