The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …

Higher harmonic generation (HHG) of elastic waves is beneficial for various applications,
including engineering nondestructive testing, imaging, therapy, etc. Due to the ubiquity of …

In this paper we propose to study wave propagation, transmission and reflection in band-
gap mechanical metamaterials via the relaxed micromorphic model. To do so, guided by a …

In the current work, we develop a higher gradient dynamic homogenization method with
micro-inertia effects. To that scope, we compute the macroscopic constitutive parameters up …

The wave motion in micromorphic microstructured solids is studied. The mathematical model
is based on ideas of Mindlin and governing equations are derived by making use of the …

In this paper the relaxed micromorphic continuum model with weighted free and gradient
micro-inertia is used to describe the dynamical behavior of a real two-dimensional phononic …

This manuscript presents a multi-dimensional, high order homogenization model for elastic
composite materials subjected to dynamic loading conditions. The proposed model is …

This paper describes the mathematical models derived for wave propagation in solids with
internal structure. The focus of the overview is on one-dimensional models which enlarge …

This manuscript proposes a multiscale nonlocal homogenization and a nonlocal effective
medium model for in-plane wave propagation in periodic composites accounting for …

The goal of this study is to understand the physical meaning and evaluate the intrinsic length
scale parameters, featured in the theories of gradient elasticity, by deploying the analytical …