ABSTRACT
The study of wave propagation in multi-scale structured media has proven a rich area of research, attracting the attention of researchers from a broad range of disciplines including mathematics, physics, and engineering. Elastic structured media presents a unique challenge in the analysis of wave propagation in multi-scale solids. Elastic structured media presents a unique challenge in the analysis of wave propagation in multi-scale solids. One particularly interesting area of research relates to "high-contrast" structures. In the case of mechanical systems, "high-contrast" refers to materials of structures with large spatial variations in density and/or stiffness. In statics one can introduce so-called imperfect interfaces in order to describe high-contrast coatings with elastic properties that are significantly different from those of the ambient elastic medium. A model of non-local structured interfaces was developed in for static and dynamic problems in elastic composite media. The dynamic homogenisation scheme is also useful in the description of hyperbolic and parabolic metamaterials.
