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Damage and Fracture of Disordered Materials pp 179–215Cite as

Micro-Crack Clustering, Non Local and Gradient Damage Models

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 410))

Abstract

The aim of this chapter is to show how the results from statistical analyses of damage and micro mechanics can inspire phenomenological modelling. namely continuous damage models. Non local and gradient dependent damage models are introduced. The analysis of stain localisation shows the importance of incorporating an internal length in the constitutive relations, while this internal length can be regarded as a correlation length in statistical models. Finally, these continuum models are shown to be consistent with fracture mechanics analyses of structural components.

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Author information

Authors and Affiliations

  1. LMT-Cachan, Ecole Normale Supérieure de Cachan, Cachan, France

    G. Pijaudier-Cabot

Authors
  1. G. Pijaudier-Cabot
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Editor information

Editors and Affiliations

  1. Arizona State University, USA

    Dusan Krajcinovic

  2. Delft University of Technology, Netherlands

    Jan Van Mier

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© 2000 Springer-Verlag Wien

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Pijaudier-Cabot, G. (2000). Micro-Crack Clustering, Non Local and Gradient Damage Models. In: Krajcinovic, D., Van Mier, J. (eds) Damage and Fracture of Disordered Materials. International Centre for Mechanical Sciences, vol 410. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2504-5_5

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  • DOI: https://doi.org/10.1007/978-3-7091-2504-5_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83327-8

  • Online ISBN: 978-3-7091-2504-5

  • eBook Packages: Springer Book Archive

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