A hybrid static-dynamic continuum approach for concurrent atomistic-to-continuum methods

Patrick Wurm*, Manfred Hannes Ulz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Concurrent atomistic-to-continuum methods commonly employ either a dynamic or a quasi-static continuum model. Both of these approaches have advantages and drawbacks which render their applicability problem-specific. We present a new hybrid static–dynamic continuum model, which combines the advantages of both approaches while potentially removing the drawbacks. This numerical approach is an innovative superposition of a dynamic and a quasi-static subproblem and, thus, is limited to linear elastic continua. We apply the approach to a prototypical representative of the concurrent atomistic-to-continuum methods and namely, the coupled atomistic and discrete dislocation method. We present three numerical examples to compare the performance of the dynamic, quasi-static and hybrid continuum model.
Original languageEnglish
Pages (from-to)6405– 6424
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Issue number122
Publication statusPublished - 15 Nov 2021


  • concurrent atomistic-to-continuum methods
  • dynamic continuum
  • finite element methods
  • molecular dynamics
  • multiscale modeling
  • quasi-static continuum

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics
  • Numerical Analysis

Fields of Expertise

  • Advanced Materials Science

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