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Abstract
The dispersive effects due to the presence of microstructure in solids are studied. The basic mathematical model is derived following Mindlin's theory. In the one-dimensional case the governing equations of a linear system are presented. An approximation using the slaving principle indicates a hierarchy of waves. The corresponding dispersion relations are compared with each other. The choice between the models can be made on the basis of physical effects described by dispersion relations.
Acknowledgements
Support from the Estonian Science Foundation, MIUR COFIN 2002 and the ESF NATEMIS Programme is gratefully acknowledged. One of the authors (J.E.) would like to thank the A. v. Humboldt Foundation for support in 2003.