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