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On the stored and dissipated energies in heterogeneous rate-independent materials

Application to a quasi-brittle energetic material under tensile loading

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Abstract

The present paper is a part of a work that aims at building a dissipative model of microcrack friction in quasi-brittle energetic materials. The latter is viewed as an assembly of elementary cells containing the most salient features of the microstructure heterogeneity. It is intended here to build an analytical model describing the mechanical and energetic response of such an elementary cell under confined tension. This is achieved by applying a previously published theory that allows for the determination of the amount of dissipated and stored energies in heterogeneous dissipative structures containing microcracks and other dissipative components.

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Author notes

  1. G. Vivier

    Present address: Saint-Gobain-Recherche, 39 quai Lucien-Lefranc, BP 135, 93303, Aubervilliers Cedex, France

Authors and Affiliations

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

    G. Vivier & H. Trumel

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

    G. Vivier & F. Hild

Authors
  1. G. Vivier
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  2. H. Trumel
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  3. F. Hild
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Corresponding author

Correspondence to H. Trumel.

Additional information

Communicated by Dr. Lev Truskinovsky.

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Vivier, G., Trumel, H. & Hild, F. On the stored and dissipated energies in heterogeneous rate-independent materials. Continuum Mech. Thermodyn. 23, 387–407 (2011). https://doi.org/10.1007/s00161-011-0185-x

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  • DOI: https://doi.org/10.1007/s00161-011-0185-x

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