Micro-Crack Clustering, Non Local and Gradient Damage Models

  • G. Pijaudier-Cabot
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 410)


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.


Constitutive Relation Correlation Length Damage Model Crack Density Damage Variable 
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Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • G. Pijaudier-Cabot
    • 1
  1. 1.LMT-CachanEcole Normale Supérieure de CachanCachanFrance

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