A morphing strategy to couple non-local to local continuum mechanics

Gilles Lubineau, Yan Azdoud, Fei Han, Christian C. Rey, Abe H. Askari

Research output: Contribution to journalArticlepeer-review

171 Scopus citations


A method for coupling non-local continuum models with long-range central forces to local continuum models is proposed. First, a single unified model that encompasses both local and non-local continuum representations is introduced. This model can be purely non-local, purely local or a hybrid depending on the constitutive parameters. Then, the coupling between the non-local and local descriptions is performed through a transition (morphing) affecting only the constitutive parameters. An important feature is the definition of the morphing functions, which relies on energy equivalence. This approach is useful in large-scale modeling of materials that exhibit strong non-local effects. The computational cost can be reduced while maintaining a reasonable level of accuracy. Efficiency, robustness and basic properties of the approach are discussed using one- and two-dimensional examples. © 2012 Elsevier Ltd.
Original languageEnglish (US)
Pages (from-to)1088-1102
Number of pages15
JournalJournal of the Mechanics and Physics of Solids
Issue number6
StatePublished - Jun 2012

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Condensed Matter Physics


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