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Universal Effective Toughness Distribution for Heterogeneous Brittle Materials

  • S. Roux
  • Y. Charles
  • F. Hild
  • D. Vandembroucq
Conference paper
Part of the Iutam Bookseries book series (IUTAMBOOK, volume 10)

Abstract

A brittle material whose microstructure is heterogeneous and random will display at large enough scales a deterministic brittle character. Prior to this limit, the effective macroscopic toughness of the material has a statistical distribution whose shape is discussed in the present paper. It is proposed that it has a universal shape characterized by only two parameters, namely, an asymptotic toughness, and a size-dependent width. Predictions of this theoretical result expressed in terms of crack size distribution are tested against experimental indentation data.

Keywords

Brittleness toughness size-effects 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • S. Roux
    • 1
    • 2
  • Y. Charles
  • F. Hild
  • D. Vandembroucq
  1. 1.Laboratoire Surface du verre et InterfacesUnité Mixte de Recherche CNRS/Saint-GobainFrance
  2. 2.Laboratoire de Méecanique et TechnologieENS-Cachan, Université Paris VI and UMR CNRS 8535France

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