Journal of Theoretical
and Applied Mechanics

41, 4, pp. 735-753, Warsaw 2003

On continuum modelling of dynamic problems in composite solids with periodic microstructure

Jowita Rychlewska, Czesław Woźniak
In this contribution we propose an approach to the macroscopic modelling of periodic composites which is based on the periodic simplicial subdivision of the unit cell. This approach makes it possible to derive a hierarchy of continuum models which describe dynamic behaviour of periodic composites on different levels of accuracy. The obtained results are compared and applied to the analysis of a certain wave propagation problem.
Keywords: composites; dynamics; modelling