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Determination of Displacements of the Faces of Two Collinear Cracks of Different Lengths within the Framework of the Leonov–Panasyuk Model

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Within the framework of the Leonov–Panasyuk model, we investigate the stress-strain state of an infinite isotropic elastic body with two collinear cracks of different lengths under the action of tensile forces applied at infinity in the direction perpendicular to the line of the cracks. We obtain equations for the crack opening displacements in the analytic form and present examples of the results of numerical evaluation of opening displacements for different ratios of crack lengths and their mutual positions.

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Authors and Affiliations

  1. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. O. Kamins’kyi, M. F. Selivanov & Yu. O. Chornoivan

Authors
  1. A. O. Kamins’kyi
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  2. M. F. Selivanov
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  3. Yu. O. Chornoivan
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 4, pp. 74–84, October–December, 2012.

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Kamins’kyi, A.O., Selivanov, M.F. & Chornoivan, Y.O. Determination of Displacements of the Faces of Two Collinear Cracks of Different Lengths within the Framework of the Leonov–Panasyuk Model. J Math Sci 198, 87–102 (2014). https://doi.org/10.1007/s10958-014-1775-5

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  • DOI: https://doi.org/10.1007/s10958-014-1775-5

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