The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture

Yan Azdoud, Fei Han, Gilles Lubineau

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

We introduce a framework that adapts local and non-local continuum models to simulate static fracture problems. Non-local models based on the peridynamic theory are promising for the simulation of fracture, as they allow discontinuities in the displacement field. However, they remain computationally expensive. As an alternative, we develop an adaptive coupling technique based on the morphing method to restrict the non-local model adaptively during the evolution of the fracture. The rest of the structure is described by local continuum mechanics. We conduct all simulations in three dimensions, using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite element method in the peridynamic domain and the continuous finite element method in the local continuum mechanics domain. © 2014 Springer-Verlag Berlin Heidelberg.
Original languageEnglish (US)
Pages (from-to)711-722
Number of pages12
JournalComputational Mechanics
Volume54
Issue number3
DOIs
StatePublished - Apr 19 2014

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computational Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics

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