Two-Scale Microstructure Dynamics

Arkadi Berezovski, Mihhail Berezovski, Juri Engelbrecht

Research output: Contribution to journalArticlepeer-review

Abstract

Wave propagation in materials with embedded two different microstructures is considered. Each microstructure is characterized by its own length scale. The dual internal variables approach is adopted yielding in a Mindlin-type model including both microstructures. Equations of motion for microstructures are coupled with the balance of linear momentum for the macromotion, but not coupled with each other. Corresponding dispersion curves are provided and scale separation is pointed out.

Original languageAmerican English
JournalJournal of Multiscale Modelling
Volume3
DOIs
StatePublished - Sep 1 2011
Externally publishedYes

Keywords

  • Wave propagation
  • microstructured solids
  • double microstructure
  • dual internal variables

Disciplines

  • Mechanics of Materials
  • Numerical Analysis and Computation
  • Partial Differential Equations

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