Modelling complex cracks with finite elements: A kinematically enriched constitutive model

Vinh Phu Nguyen, Giang Dinh Nguyen, Chi Thanh Nguyen, Luming Shen, Daniel Dias-da-Costa, Abbas El-Zein, Federico Maggi

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11 Citations (Scopus)


A continuum constitutive framework with embedded cohesive interface model is presented to describe the failure of quasi-brittle materials. Both cohesive behaviour for cracking inside the fracture process zone and elastic bulk behaviour are treated at integration points making implementation straightforward. In this sense, the proposed approach is simpler than existing ones that focus on element enrichments, such as the extended finite element method, while share similarities with smeared crack models, and offers the capability to correctly model quasi-brittle failure in post-peak regime at constitutive level. In this work, the formulation is introduced, numerical algorithms described and static and dynamic fracture simulations with complex crack patterns are conducted to demonstrate the capability and advantage of the proposed approach.
Original languageEnglish
Pages (from-to)21-39
Number of pages19
JournalInternational Journal of Fracture
Issue number1-2
Publication statusPublished - Jan 2017


  • Cohesive crack
  • Finite elements
  • Kinematically enriched constitutive model
  • Quasi-brittle
  • Cohesive interface elements

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