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Stress Intensity Factor of an Edge Crack in Bonded Orthotropic Materials

  • Letters in Fracture and Micromechanics
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Abstract

The article presents the problem of an edge crack under normal point loading terminating perpendicular to the surface of an orthotropic strip of finite thickness which is bonded to another orthotropic half plane. Expressing the displacements and stresses in plane strain condition in terms of harmonic functions, the problem is reduced to a pair of simultaneous integral equations with Cauchy type singularities, which are finally been solved by the Hilbert transform technique. The analytical expression of stress intensity factor (SIF) at the crack tip for large thickness of the strip is calculated, which corresponds to the weight function of a crack under normal loading. The influences of elastic constants of two different orthotropic materials, distinct arbitrary locations of normal point loading on the crack surface and length of the crack on the dynamic SIF are depicted through graphs.

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, 221 005, India

    S. Das, S. Mukhopadhyay & R. Prasad

Authors
  1. S. Das
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  2. S. Mukhopadhyay
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  3. R. Prasad
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Correspondence to S. Das.

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Das, S., Mukhopadhyay, S. & Prasad, R. Stress Intensity Factor of an Edge Crack in Bonded Orthotropic Materials. Int J Fract 168, 117–123 (2011). https://doi.org/10.1007/s10704-010-9568-4

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  • DOI: https://doi.org/10.1007/s10704-010-9568-4

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