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Variational Determination of the Crack Trajectory in Inhomogeneous Media

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Abstract

Propagation of a crack through inhomogeneous media is considered in the variational formulation, whereby the path corresponding to the extremum of energy release during fracture is sought. A non-linear differential equation is obtained for the crack trajectory in an inhomogeneous medium subjected to specified tensile loading. A linearized form of this equation is investigated in order to characterise the crack propagation in media with different effective characteristics.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Belarusian Polytechnical Academy, 65 Skaryny Avenue, Minsk, 220027, Belarus

    Ihar A. Miklashevich

  2. Department of Theoretical Mechanics, Belarusian Polytechnical Academy, 65 Skaryny Avenue, Minsk, 220027, Belarus

    Anatoly V. Chigarev

  3. Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, England

    Alexander M. Korsunsky

Authors
  1. Ihar A. Miklashevich
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  2. Anatoly V. Chigarev
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  3. Alexander M. Korsunsky
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Miklashevich, I.A., Chigarev, A.V. & Korsunsky, A.M. Variational Determination of the Crack Trajectory in Inhomogeneous Media. International Journal of Fracture 111, 29–34 (2001). https://doi.org/10.1023/A:1012438508616

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  • DOI: https://doi.org/10.1023/A:1012438508616

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