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A Variational View of Partial Brittle Damage Evolution

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Abstract

Under time-dependent loading an elastic material undergoes the simplest form of damage in which it passes from its original state to a weaker elastic state. Elaborating on prior work [14], we establish the existence of a relaxed variational evolution where, at each time, the two states of the material combine to form a fine mixture, optimal from the standpoint of the applied load at that time, yet preserving the irreversibility of the damaging process.

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Authors and Affiliations

  1. Laboratoire P.M.T.M, Institut Galilée, Avenue Jean-Baptiste Clément, 93430, Villetaneuse, France

    Gilles A. Francfort

  2. Dip. di Matematica, Università di Roma ``La Sapienza'', Piazzale A. Moro 2, 00185, Roma, Italia

    Adriana Garroni

Authors
  1. Gilles A. Francfort
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  2. Adriana Garroni
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Correspondence to Gilles A. Francfort.

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Communicated by K. Bhattacharya

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Francfort, G., Garroni, A. A Variational View of Partial Brittle Damage Evolution. Arch Rational Mech Anal 182, 125–152 (2006). https://doi.org/10.1007/s00205-006-0426-5

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  • DOI: https://doi.org/10.1007/s00205-006-0426-5

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