Algorithms for bridging scale method parameters

D. E. Farrell*, E. G. Karpov, W. K. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Multiple scale simulation methods have been the focus of much attention in recent years. The Bridging Scale method (BSM) of Liu and co-workers was developed as a framework for the dynamic concurrent coupling of atomistics and continua. A key feature of the BSM is a non-reflecting atomistic interfacial condition which relies on a time history integral. In this work, we present a practical review of the relevant theory as well as a new algorithm used in the determination of the kernel function of the time history integral. We also provide a detailed description of the random displacement terms from the interfacial condition, which are required for finite temperature BSM simulations.

Original languageEnglish (US)
Pages (from-to)965-978
Number of pages14
JournalComputational Mechanics
Issue number6
StatePublished - Nov 2007

ASJC Scopus subject areas

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

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