Article
Two-Scale Microstructure Dynamics
Journal of Multiscale Modelling
Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
9-1-2011
Disciplines
Abstract/Description
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.
DOI
https://doi.org/10.1142/S1756973711000479
Publisher
World Scientific
Grant or Award Name
Estonian Science Foundation (Grant No. 8702)
Citation Information
Arkadi Berezovski, Mihhail Berezovski and Juri Engelbrecht. "Two-Scale Microstructure Dynamics" Journal of Multiscale Modelling Vol. 3 Iss. 3 (2011) p. 1 - 12 Available at: http://works.bepress.com/berezovski/22/
Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.