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The effects of crack surface friction and roughness on crack tip stress fields

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Abstract

A model is presented which can be used to incorporate the effects of friction and tortuosity along crack surfaces through a constitutive law applied to the interface between opposing crack surfaces. The problem of a crack with a saw-tooth surface in an infinite medium subjected to a far-field shear stress is solved and the ratios of mode I stress intensity to mode II stress intensity are calculated for various coefficients of friction and material properties. The results show that tortuosity and friction lead to an increase in fracture loads and alter the direction of crack propagation.

Résumé

On présente un modèle utilisable pour tenir compte des effets de friction et de la rugosité sur les surfaces d'une fissure, en appliquant une loi constitutive à l'interface entre les surfaces opposées d'une fissure. On résoud le problème d'une fissure présentant une surface en dents de scie, dans un milieu infini soumis à un champ de contrainte de cisaillement appliqué à une certaine distance. On calcule les rapports de l'intensité de contraintes relative au mode I sur celle relative au mode II, pour divers coefficients de friction et diverses propriétés de matériau. Les résultats montrent que la rugosité et la friction conduisent à un accroissement de la charge correspondant à la rupture, et à une altération de la direction de propagation de la fissure.

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Authors and Affiliations

  1. Department of Civil Engineering, Case Western Reserve University, 44106, Cleveland, OH, USA

    Roberto Ballarini

  2. Department of Engineering Mechanics, University of Wisconsin, 53706, Madison, WI, USA

    Michael E. Plesha

Authors
  1. Roberto Ballarini
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  2. Michael E. Plesha
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Ballarini, R., Plesha, M.E. The effects of crack surface friction and roughness on crack tip stress fields. Int J Fract 34, 195–207 (1987). https://doi.org/10.1007/BF00019717

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  • DOI: https://doi.org/10.1007/BF00019717

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