Multiple coplanar embedded elliptical cracks in an infinite solid subject to arbitrary crack face tractions

Authors

  • P. E. O'Donoghue,

    1. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
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    • Graduate Student

  • T. Nishioka,

    1. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
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    • Visiting Assistant Professor

  • S. N. Atluri

    1. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
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    • Regents' Professor of Mechanics.


Abstract

This paper extends the earlier work by the present authors for a single embedded crack in an infinite solid and presents a solution to the problem of multiple coplanar cracks in an infinite medium. An alternating method in conjunction with an analytical solution for a single crack is used to determine the stress intensity factors for interacting multiple coplanar embedded cracks in an infinite body. The alternating method, as implemented here, leads to a highly accurate evaluation of the appropriate stress intensity factors.

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