A constitutive modelling framework featuring two scales of behaviour: Fundamentals and applications to quasi-brittle failure

Giang D. Nguyen, Alexander M. Korsunsky, Itai Einav

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

We propose a constitutive modelling framework with enhanced kinematics to capture localised mode of deformation. The total strain is decomposed into two components to reflect an inelastic localisation band embedded in an elastic bulk. This is the usual case in numerical analysis of localised failure in geomaterials, when the size of the localisation band is very small compared to an element of the discretised domain under consideration. The proposed framework takes into account the sizes and corresponding behaviours of the two inelastic and elastic zones and hence gives derived constitutive models a length scale. This is an essential feature in dealing with size effect issues as a consequence of localised failure in geomaterials. The proposed framework is applied to a constitutive model for the failure analysis of quasi-brittle materials. The implementation algorithms are developed and novel features are illustrated through numerical examples.

Original languageEnglish
Pages (from-to)221-240
Number of pages20
JournalEngineering Fracture Mechanics
Volume115
DOIs
Publication statusPublished - Jan 2014
Externally publishedYes

Keywords

  • Constitutive modelling
  • Damage
  • Discontinuity
  • Fracture process zone
  • Length scales
  • Localised failure
  • Quasi-brittle
  • Softening

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