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An analysis of a fracture specimen for rough crack in shear

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Abstract

In this paper, a BEM formulation predicting the reduced mode II and the enhanced mode I stress intensity factors of the mode II test specimen caused by fracture surface roughness is presented. The dilatant boundary conditions (DBC) are based on the assumptions of idealized uniform sawtooth crack surfaces and an effective Coulomb sliding law. They are obtained by relating the crack opening displacement and crack sliding displacement through the assumption of rigid body asperity sliding as in Young (1999). Three different types of crack, i.e. (1) non-interfering flat closed crack; (2) DBC with elastic crack tip; and (3) DBC with plastic crack tip are discussed. The results show a good approximation of the present BEM model. This study also shows the potential application of the present method determining the effect of crack face roughness in a realistic experimental specimen.

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Authors and Affiliations

  1. Department of Applied Mathematics, Chung-Hua University, Hsin-Chu Taiwan , 30067, R.O. China

    Lih-Jier Young

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  1. Lih-Jier Young
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Young, LJ. An analysis of a fracture specimen for rough crack in shear. International Journal of Fracture 115, 273–285 (2002). https://doi.org/10.1023/A:1016363918663

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  • DOI: https://doi.org/10.1023/A:1016363918663

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