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Crack extension force in a nonlocal nonlinear micropolar field theory

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Summary

The recent theory of a nonlocal micropolar continuum is used to derive explicit expressions for the set of conservations laws. Using the Euclidean group of transformation, the equivalence between conservation laws and Euclidean invariance is demonstrated. It is shown that one of the integrals (J type integral) has a physical meaning of the energy release rate.

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Author notes

  1. M. Vukobrat

    Present address: Faculty of Transport and Traffic, V. Stepe 305, 11000, Beograd, Yugoslavia

  2. D. Kuzmanović

    Present address: Faculty of Mining and Geology, Djusina 7, 11000, Beograd, Yugoslavia

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    1. M. Vukobrat
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    2. D. Kuzmanović
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    Vukobrat, M., Kuzmanović, D. Crack extension force in a nonlocal nonlinear micropolar field theory. Acta Mechanica 123, 89–97 (1997). https://doi.org/10.1007/BF01178403

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    • DOI: https://doi.org/10.1007/BF01178403

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