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Moving Griffith crack in an orthotropic strip with punches at boundary faces

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  • S. Mukherjee
  • S. Das

Abstract

Integral transform technique is employed to solve the elastodynamic problem of steady-state propagation of a Griffith crack centrally situated along the midplane of orthotropic strip of finite thickness 2 h and subjected to point loading with centrally situated moving punches under constant pressure along the boundaries of the layer. The problem is reduced to the solution of a pair of simultaneous singular integral equations with Cauchy-type singularities which have finally been solved through the finite Hilbert transform technique. For large h , analytical expression for the stress intensity factor at the crack tip is obtained. Graphical plots of the numerical results are also presented.

Suggested Citation

  • S. Mukherjee & S. Das, 2005. "Moving Griffith crack in an orthotropic strip with punches at boundary faces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:168710
    DOI: 10.1155/IJMMS.2005.3157
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