The dispersive wave motion in solids with microstructure is considered in the one-dimensional setting in order to understand better the mechanism of dispersion. It is shown that the variety of dispersive wave propagation models derived by homogenization, continualisation, and generalization of continuum mechanics can be unified in the framework of dual internal variables theory.
10th International Conference on Vibration Problems (ICOVP 2011)
Prague, Czech Republic
Scholarly Commons Citation
Berezovski A., Engelbrecht J., Berezovski M. (2011) Dispersive Wave Equations for Solids with Microstructure. In: Náprstek J., Horáček J., Okrouhlík M., Marvalová B., Verhulst F., Sawicki J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht
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.