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

Phononic materials are periodically arranged building blocks in the form of material
properties, geometries, and/or boundary conditions. This synthetic architecture makes …

Phononic crystals (PnCs) and acoustic metamaterials (AMMs) are artificially architected
materials endowed with the capabilities of wave manipulation. This review specifically …

When semi-infinite phononic crystals (PCs) are in contact, localized modes may exist at their
boundary. The central question is generally to predict their existence and to determine their …

The existence of nonlinearity within materials manifests richer wave propagation compared
to their linear counterpart in the form of amplitude-dependent material response and energy …

In this work, the concept of high-frequency homogenization is extended to the case of one-
dimensional periodic media with imperfect interfaces of the spring-mass type. In other words …

In this study analytical transient response of the anisotropic multi-layered composite
structure subjected to dynamic anti-plane point loading is investigated as thermal effect …

Based on the theory of complex variable function, the propagation properties of anti-plane
shear wave in inhomogeneous right-angle space are analysed. The inhomogeneity of the …

We study the sine-Gordon equation with h-periodic in space coefficients. Leading-order
homogenization yields an effective sine-Gordon equation for which traveling wave periodic …

Homogenisation for waves in 1D periodic media: Effective models, boundary and transmission
correctors Page 1 HAL Id: hal-04186509 https://hal.science/hal-04186509 Submitted on 23 …