CRACK PROPAGATION AND ARREST IN AN ORTHOTROPIC MATERIAL USING AN ELLIPTIC STOP HOLE

Authors

  • Ndubueze G. Emenogu Department of Mathematics, Michael Okpara University of Agriculture, Umudike Abia state, Nigeria. Author
  • Emelike Ukeje Department of Mathematics, Michael Okpara University of Agriculture, Umudike Abia state, Nigeria. Author

DOI:

https://doi.org/10.60787/jnamp.v67i2.372

Keywords:

Crack arrest, Orthotropic material, Stress intensity factor, Displacement field, Elliptical stop hole

Abstract

In this paper, we investigated the influence of elliptical stop hole on mode-III deformation behavior of a semi-infinite crack in a homogeneous, elastic orthotropic material subjected to antiplane loading. To make the problem perceptive to analysis within the realm of two-dimensional classical theory of elasticity, we made use of Galilean transformation to convert the governing wave equation to Laplace equation which is time independent.  By employing conformal mapping and integral transformation techniques, a solution of the displacement is obtained leading to closed form expression for mode III stress intensity factor. The results obtained shows that the elliptical stop hole is a veritable means of arresting crack propagation.

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Published

2024-07-31

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How to Cite

CRACK PROPAGATION AND ARREST IN AN ORTHOTROPIC MATERIAL USING AN ELLIPTIC STOP HOLE. (2024). The Journals of the Nigerian Association of Mathematical Physics, 67(2), 181-198. https://doi.org/10.60787/jnamp.v67i2.372

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