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.
Journal of Multiscale Modelling
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
Mechanics of Materials Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.