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A mathematical description of transient crack growth behaviour in glass

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Abstract

Transient crack growth behaviour resulting from time-dependent changes in crack-tip radius can occur near the fatigue limit. In the present work, mathematical expressions describing this transient behaviour are developed assuming that a dissolution reaction is responsible for changes in crack geometry. An elliptical crack is analysed because of its mathematical simplicity. The theoretical model slightly underestimates the extent of crack-tip blunting occurring below the fatigue limit. However, the predicted transient behaviour associated with the crack-tip sharpening processes which take place above the fatigue limit compares favourably with experimental data for glass.

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Authors and Affiliations

  1. Metals and Ceramics Division, Oak Ridge National Laboratory, 37830, Oak Ridge, Tennessee, USA

    M. K. Ferber

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  1. M. K. Ferber
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Research sponsored by Division of Materials Sciences, U.S. Department of Energy, under contract W-7405-eng-26 with the Union Carbide Corporation.

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Ferber, M.K. A mathematical description of transient crack growth behaviour in glass. J Mater Sci 19, 2570–2574 (1984). https://doi.org/10.1007/BF00550811

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  • DOI: https://doi.org/10.1007/BF00550811

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