In this paper, the static microstructural effects of periodic elastic composites were studied by
the homogenization method. This approach is based on the analysis of the momentum …

We present an application of the higher order asymptotic homogenization method (AHM) to
the study of wave dispersion in periodic composite materials. When the wavelength of a …

The present work deals with the development of homogenization procedures for periodic
heterogeneous linear elastic Cosserat media. It is resorted to asymptotic methods classically …

A dispersive model is developed for wave propagation in periodic heterogeneous media.
The model is based on the higher order mathematical homogenization theory with multiple …

Non‐local dispersive model for wave propagation in heterogeneous media is derived from
the higher‐order mathematical homogenization theory with multiple spatial and temporal …

Classical homogenization techniques are known to be effective for materials with large scale
separation between the size and spacing of their underlying heterogeneities on the one …

The present contribution aims to revisit higher-order homogenization schemes towards
micromorphic media based on variational principles and an extension of Hill …

This paper is devoted to long wave propagation in heterogeneous media. More specifically,
we deal with Rayleigh diffraction in elastic materials with a periodic microstructure whose …

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …

Abstract Magneto-electro-elastic (MEE) heterogeneous materials with periodic
microstructure are investigated, with special focus on the particular case of a layered MEE …