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Path Independent Integrals for Cosserat Continua and Application to Crack Problems

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Abstract

We generalise Noether's theorem to include Cosserat Continua and derive corresponding conservation laws and path independent boundary integrals. From translational invariance of the deformation energy we optain the Cosserat generalisation of the J-integral. In a Cosserat Continuum, additional integrals follow from rotational invariance.

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Authors and Affiliations

  1. CSIRO Division of Exploration and Mining, Nedlands, WA, 6009, Australia. E-mail

    H-B Mühlhaus

  2. Department of Civil and Resource Engineering, University of Western Australia, 35 Stirling Highway, Crawley, W, A 6009, Australia. E-mail

    E Pasternak

Authors
  1. H-B Mühlhaus
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  2. E Pasternak
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Mühlhaus, HB., Pasternak, E. Path Independent Integrals for Cosserat Continua and Application to Crack Problems. International Journal of Fracture 113, 21–26 (2002). https://doi.org/10.1023/A:1022680130245

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  • DOI: https://doi.org/10.1023/A:1022680130245

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