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Point weight function method application for semi-elliptical mode I cracks

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Abstract

The method of the approximate weight function construction for a semi-elliptical crack was suggested. The weight function sought was written as the sum of asymptotic (weight function for an elliptical crack in an infinite body) and correction components. To take into account the influence of a body free surface on the asymptotic component behavior, fictitious forces symmetric with respect to the body free surface were introduced.

As an example of the efficiency of the proposed method semi-elliptical axial cracks in pressure vessels were considered. The results of the stress intensity factor prediction are in good agreement with the corresponding results obtained by Raju and Newman. The only exception are the results for the points located near the major ellipse axis. This may be explained by the shortcomings of the employed empirical weight function expression for an elliptical crack in an infinite body.

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Authors and Affiliations

  1. Department of Physical Foundations of Strength and Fracture Institute for Problems of Strength, Academy of Sciences of Ukraine, 2 Timiryazevskaya Str., 252014, Kiev, Ukraine

    I. V. Orynyak

  2. Department for Strength of Materials and Structural Elements at Low Temperatures Institute for Problems of Strength, Academy of Sciences of Ukraine, 2 Timiryazevskaya Str., 252014, Kiev, Ukraine

    M. V. Borodii

Authors
  1. I. V. Orynyak
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  2. M. V. Borodii
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Orynyak, I.V., Borodii, M.V. Point weight function method application for semi-elliptical mode I cracks. Int J Fract 70, 117–124 (1994). https://doi.org/10.1007/BF00034135

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  • DOI: https://doi.org/10.1007/BF00034135

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