Arbitrary discontinuities in finite elements

Authors

  • T. Belytschko,

    Corresponding author
    1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, U.S.A.
    • Mechanical Engineering Department, Northwestern University, 2145 N Sheridan, Rm 224, Evanston, IL 60208-3111, U.S.A.
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    • Walter P. Murphy, Professor

  • N. Moës,

    1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, U.S.A.
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    • Research Assistant Professor

  • S. Usui,

    1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, U.S.A.
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    • Graduate Student

  • C. Parimi

    1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, U.S.A.
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    • Graduate Student


Abstract

A technique for modelling arbitrary discontinuities in finite elements is presented. Both discontinuities in the function and its derivatives are considered. Methods for intersecting and branching discontinuities are given. In all cases, the discontinuous approximation is constructed in terms of a signed distance functions, so level sets can be used to update the position of the discontinuities. A standard displacement Galerkin method is used for developing the discrete equations. Examples of the following applications are given: crack growth, a journal bearing, a non-bonded circular inclusion and a jointed rock mass. Copyright © 2001 John Wiley & Sons, Ltd.

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