Two-Scale Microstructure Dynamics

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.

On modelling of wave propagation in microstructured solids

“…The detailed analysis of this model is given in [ 21 ]. Finally, it is also possible to use the same approach for deriving the governing equations for the thermoelasticity where the microtemperature (temperature fluctuation due to microstructure) is taken into account [ 22,23 ].…”