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

Patrick Wurm*, Manfred Hannes Ulz

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

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.
Originalspracheenglisch
Seiten (von - bis)6405– 6424
Seitenumfang20
FachzeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang2021
Ausgabenummer122
DOIs
PublikationsstatusVeröffentlicht - 15 Nov 2021

ASJC Scopus subject areas

  • !!Engineering(all)
  • Angewandte Mathematik
  • Numerische Mathematik

Fields of Expertise

  • Advanced Materials Science

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