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On the stored and dissipated energies in heterogeneous rate-independent systems: theory and simple examples

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Abstract

The aim of the present work is to determine the amount of dissipated and stored energies in structures containing frictional cracks and elasto-plastic zones. The proposed theory combines micromechanical and thermodynamic tools to calculate both energies. Using simple examples, it is shown that the Taylor–Quinney coefficient is not a constant, and can be much less than the values usually considered (i.e. close to unity).

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Authors and Affiliations

  1. LMT Cachan (UMR CNRS 8535), ENS Cachan, CNRS, Université Paris 6, PRES Université Paris Sud, 61 avenue du Président Wilson, 94235, Cachan Cedex, France

    G. Vivier & F. Hild

  2. CEA, DAM Le Ripault, 37260, Monts, France

    H. Trumel

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  1. G. Vivier
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  2. H. Trumel
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  3. F. Hild
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Correspondence to H. Trumel.

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Communicated by W.H. Müller

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Vivier, G., Trumel, H. & Hild, F. On the stored and dissipated energies in heterogeneous rate-independent systems: theory and simple examples. Continuum Mech. Thermodyn. 20, 411–427 (2009). https://doi.org/10.1007/s00161-008-0089-6

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  • DOI: https://doi.org/10.1007/s00161-008-0089-6

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