Length-scale effects in wave propagation and stability of elastic composites under finite deformations

A new micromodelling approach to micro-periodic highly-elastic inhomo-geneous materials is proposed. The model equations obtained describe an effect of the microstructure length paramater on dynamic behaviour of the body. Within linearized approximation they reduce to a certain generalization of the refined macrodynamics equations proposed by Woźniak (1993). The main aim of the contribution is to show how the obtained model can be applied to the analysis of wave propagation and stability within the range of finite deformations of elastic composite materials under consideration.