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.KeywordsConstitutive RelationCorrelation LengthDamage ModelCrack DensityDamage VariableThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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