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Mixed mode fracture initiation and trajectory prediction under random stresses

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Abstract

A method is developed for estimating (i) confidence intervals on the initial direction of crack extension and (ii) the probability of crack initiation in plane stress and plane strain problems. The method accounts for the uncertainty in applied stresses, fracture toughness, and crack geometry. It is based on classical theories of linear fracture mechanics for homogeneous isotropic materials, a computer code for deterministic fracture mechanics analysis (FRANC) and first and second order structural reliability algorithms (FORM/SORM). Several examples are presented to demonstrate the use and generality of the proposed method for probabilistic fracture mechanics analysis.

Résumé

On développe une méthode pour estimer les intervalles de confiance sur la direction initiale de propagation d'une fissure et la probabilité d'amorçage d'une fissure dans des problèmes de tension plane et de déformation plane. La méthode tient compte des incertitudes dans les contraintes appliquées, dans la ténacité à la rupture et dans la géométrie de la fissure. Elle est basée sur les théories classiques de la mécanique de rupture linéaire pour les matériaux homogènes et isothropes, sur un code de calcul pour une analyse déterministe de la mécanique de la rupture (FRANC), et sur des algorithmes de fiabilité structurelle du premier et du deuxième ordre (FORM/SORM). Divers exemples sont présentés pour démontrer l'utilisation et la généralisation de la méthode proposée pour l'analyse probabilistique de la mécanique de la rupture.

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Authors and Affiliations

  1. Department of Structural Engineering, Cornell University, 14853, Ithaca, NY, USA

    M. Grigoriu, M. T. A. Saif, S. El Borgi & A. R. Ingraffea

Authors
  1. M. Grigoriu
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  2. M. T. A. Saif
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  3. S. El Borgi
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  4. A. R. Ingraffea
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Grigoriu, M., Saif, M.T.A., El Borgi, S. et al. Mixed mode fracture initiation and trajectory prediction under random stresses. Int J Fract 45, 19–34 (1990). https://doi.org/10.1007/BF00012607

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  • DOI: https://doi.org/10.1007/BF00012607

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