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Determining Displacements of Contacting Crack Faces in Orthotropic Plate

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In the problem of fracture mechanics with regard to a possible contact between the crack faces, the application of only normal displacements in boundary conditions at the crack faces results in an interpenetration of the crack faces in the solution. To eliminate this contradiction, the study suggests a boundary condition taking into account both components of displacement vector of crack face points. It is shown that this assumption allows avoiding the interpenetration of the crack faces. An algorithm of solving the problems with contacting crack faces in anisotropic bodies is proposed. Few numerical examples demonstrate the efficiency of this algorithm for determining the crack face displacements and the contact zone sizes.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3, Nesterov St., Kyiv, Ukraine, 03057

    M. F. Selivanov & Yu. A. Chernoivan

Authors
  1. M. F. Selivanov
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  2. Yu. A. Chernoivan
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Correspondence to M. F. Selivanov.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 53, No. 4, pp. 63–75, 2017.

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Selivanov, M.F., Chernoivan, Y.A. Determining Displacements of Contacting Crack Faces in Orthotropic Plate. Int Appl Mech 53, 407–418 (2017). https://doi.org/10.1007/s10778-017-0825-3

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  • DOI: https://doi.org/10.1007/s10778-017-0825-3

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