Finite rotations in the refined macrodynamics of elastic composites

The refined macrodynamics of periodic composites, describing the microstructure length effect on the macro-behaviour of the body, within the framework of the linear elastodynamics was proposed by Woźniak (1993) and investigated in a series of related papers. The main aim of this contribution is to formulate equations of the refined macrodynamics for elastic composite materials subjected to small strains but finite rotations and displacements. The obtained results can be applied to the analysis of geometrically nonlinear problems for thin flexible structural elements, made of composite materials.