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Closed trans-scale statistical microdamage mechanics

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Abstract

Damage and failure due to distributed microcracks or microvoids are on the challenging frontiers of solid mechanics. This appeals strongly to tools not yet fully developed in continuum damage mechanics, in particular to irreversible statistical thermodynamics and a unified macroscopic equations of mechanics and kinetic equations of microstructural transformations. This review provides the state of the art in statistical microdamage mechanics.

  1. (1)

    It clarifies on what level of approximation continuum damage mechanics works. Particularly,D-level approximation with dynamic function of damage appears to be a proper closed trans-scale formulation of the problem.

  2. (2)

    It provides physical foundation of evolution law in damage mechanics. Essentially, the damage-dependent feature of the macroscopic evolution law is due to the movement of microdamage front, resulting from microdamage growth.

  3. (3)

    It is found that intrinsic Deborah numberD *, a ratio of nucleation rate over growth rate of microdamage, is a proper indication of critical damage in damage mechanics, based on the idea of damage localization.

  4. (4)

    It clearly distinguishes the non-equilibrium damage evolution from equilibrium phase transition, like percolation.

Finally, some comments on its limitations are made.

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Authors and Affiliations

  1. State Key Laboratory for Non-linear Mechanics Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, China

    Bai Yilong, Xia Mengfen, Ke Fujiu & Li Huiling

  2. Department of Physics, Peking University, 100871, Beijing, China

    Xia Mengfen

  3. Department of Applied Physics, Beijing University of Aeronautics and Astronautics, 100083, Beijing, China

    Ke Fujiu

Authors
  1. Bai Yilong
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  2. Xia Mengfen
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  3. Ke Fujiu
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  4. Li Huiling
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The project supported by the National Natural Science Foundation of China (19891180-02, 19972004) and Major State Research Project (G200007735)

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Yilong, B., Mengfen, X., Fujiu, K. et al. Closed trans-scale statistical microdamage mechanics. Acta Mech Sinica 18, 1–17 (2002). https://doi.org/10.1007/BF02487520

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  • DOI: https://doi.org/10.1007/BF02487520

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