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Softening, localisation and adaptive remeshing. Capture of discontinuous solutions

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Abstract

Two approaches have been used in finite element studies of discontinuities (shocks) in fluid mechanics. These are discontinuity capture using suitable mesh adaptivity and discontinuity fitting by introduction of discontinuous shape functions in the formulation. Both procedures have been now used successfully in solid mechanics, but the paper discusses the particular advantages of the adaptive process.

The causes of discontinuity in plastic failure are reviewed and differences from the analogous fluid mechanics problems are discussed.

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Authors and Affiliations

  1. Institute for Numerical Methods in Engineering, University of Wales, SA2 8PP, Swansea, U.K.

    O. C. Zienkiewicz

  2. CETA-CEDEX, 28014, Madrid, Spain

    M. Pastor

  3. Institute for Numerical Methods in Engineering, University of Wales, SA2 8PP, Swansea, U.K.

    M. Huang

Authors
  1. O. C. Zienkiewicz
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  2. M. Pastor
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  3. M. Huang
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Additional information

Communicated by S. N. Atluri, 18 August 1995

Dedicated to J. C. Simo

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Zienkiewicz, O.C., Pastor, M. & Huang, M. Softening, localisation and adaptive remeshing. Capture of discontinuous solutions. Computational Mechanics 17, 98–106 (1995). https://doi.org/10.1007/BF00356482

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  • DOI: https://doi.org/10.1007/BF00356482

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