From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials

DOI10.1016/j.euromechsol.2024.105269MaRDI QIDQ6558069

Davide Bernardini, Jendrik Voss, Patrizio Neff, Gianluca Rizzi, Marco Valerio d'Agostino, Angela Madeo

Publication date: 18 June 2024

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

frequency domain dispersion curves Galilean invariance metamaterials generalized continua dynamic homogenization band-gap frequency-dependent model enriched continua inertia-augmented inverse partial Fourier transform

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum
Gradient elasticity theories in statics and dynamics - a unification of approaches
Inverse metamaterial design for controlling band gaps in scalar wave problems
The method of virtual power in the mechanics of continuous media. I. Second-gradient theory
Large scale modulation of high frequency waves in periodic elastic composites
Variational principles for dynamic problems for inhomogeneous elastic media
Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model
Towards the conception of complex engineering meta-structures: relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screens
Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields
Effective resonant model and simulations in the time-domain of wave scattering from a periodic row of highly-contrasted inclusions
Computational homogenization of locally resonant acoustic metamaterial panels towards enriched continuum beam/shell structures
Study of anomalous wave propagation and reflection in semi-infinite elastic metamaterials
Micro-structure in linear elasticity
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps
A unifying perspective: the relaxed linear micromorphic continuum
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics
Active elastodynamic cloaking
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
Effective constitutive relations for waves in composites and metamaterials
A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales
Band gaps in the relaxed linear micromorphic continuum
Higher order asymptotic homogenization and wave propagation in periodic composite materials
High-frequency homogenization for periodic media
Homogenization and Two-Scale Convergence
Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control
Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates
Causality and passivity in elastodynamics
Two-scale homogenization to determine effective parameters of thin metallic-structured films
Modelling the deep drawing of a 3D woven fabric with a second gradient model
On modifications of Newton's second law and linear continuum elastodynamics
A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model

This page was built for publication: From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6558069)