Two-Scale Microstructure Dynamics

Authors

Arkadi Berezovski, Tallinn University of TechnologyFollow
Mihhail Berezovski, Tallinn University of TechnologyFollow
Juri Engelbrecht, Tallinn University of TechnologyFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

9-2011

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.

Publication Title

Journal of Multiscale Modelling

DOI

https://doi.org/10.1142/S1756973711000479

Publisher

World Scientific

Grant or Award Name

Estonian Science Foundation (Grant No. 8702)

Additional Information

Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.

Scholarly Commons Citation

Berezovski, A., Berezovski, M., & Engelbrecht, J. (2011). Two-Scale Microstructure Dynamics. Journal of Multiscale Modelling, 3(3). https://doi.org/10.1142/S1756973711000479