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Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems

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Abstract

Stress intensity factors have been determine directly for certain special crack problems with the help of J or other path-independent integrals. Such procedures have not been used successfully in what are perhaps the most classical of all crack problems: those in two dimensions involving a crack of finite length in an infinite medium with loading at infinity of either Mode I, Mode II or Mode III type. We give a new class of path-independent integrals which are suitable for this purpose.

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Author notes

  1. Rohan Abeyaratne

    Present address: Department of Mechanical Engineering, Massachusetts Institute of Technology, 02139, Cambridge, MA, U.S.A.

Authors and Affiliations

  1. College of Engineering, Michigan State University, 48824-1226, East Lansing, Michigan, U.S.A.

    Rohan Abeyaratne

  2. Division of Engineering and Applied Science, California Institute of Technology, 91125, Pasadena, California, U.S.A.

    James K. Knowles

Authors
  1. Rohan Abeyaratne
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  2. James K. Knowles
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Abeyaratne, R., Knowles, J.K. Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems. J Elasticity 16, 431–440 (1986). https://doi.org/10.1007/BF00041766

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  • DOI: https://doi.org/10.1007/BF00041766

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