Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

In this work, we developed a higher-order asymptotic homogenization method (AHM) for
efficient multiscale analysis of piezoelectric composite structures. Instead of solving the …

Materials with asymmetric microstructure can constitutively couple macroscopic fields from
different physics. Examples include piezoelectric materials that couple mechanical and …

This article focuses on the time-domain propagation of elastic waves through a 1D periodic
medium that contains non-linear imperfect interfaces, ie interfaces exhibiting a discontinuity …

For microscale heterogeneous partial differential equations (PDEs), this article further
develops novel theory and methodology for their macroscale mathematical/asymptotic …

The classical two-scale asymptotic paradigm provides macroscopic and microscopic
analyses for the elastodynamic homogenization of periodic composites based on the spatial …

A homogenized model is proposed for linear waves in 1D microstructured media. It
combines second-order asymptotic homogenization (to account for dispersion) and interface …

This work develops a dynamic linear homogenization approach in the context of periodic
metamaterials. By using approximations of the dispersion relation that are amenable to …

We study the propagation of high-amplitude sound waves, in the form of pulse-like solitary
waves, in an air-filled acoustic waveguide of periodically varying cross section. Our …

Two-scale asymptotic method and Willis' method are jointly examined for the elastodynamic
homogenization of periodic composites. The effective elastodynamic constitutive law given …