On two elastodynamic homogenization methods for periodic composites

DOI10.1016/j.apm.2022.08.030zbMath1505.74184OpenAlexW4294740417MaRDI QIDQ2110832

Wei-Zhi Luo, Qi-Chang He, Hung Le Quang

Publication date: 23 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.08.030

zbMATH Keywords

dynamicscompositeshomogenizationasymptotic analysisdispersion relation

Mathematics Subject Classification ID

Crystalline structure (74E15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Willis elastodynamic homogenization theory revisited for periodic media
• On the second-order homogenization of wave motion in periodic media and the sound of a chessboard
• Overall dynamic constitutive relations of layered elastic composites
• The nonlocal influence of density variations in a composite
• Variational principles for dynamic problems for inhomogeneous elastic media
• A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion
• A polarization approach to the scattering of elastic waves. II. Multiple scattering from inclusions
• Rayleigh scattering in elastic composite materials
• Microstructural effects in elastic composites
• Spatial-temporal nonlocal homogenization model for transient anti-plane shear wave propagation in periodic viscoelastic composites
• A general multiscale framework for the emergent effective elastodynamics of metamaterials
• Elastic cloaking theory
• Microstructurally-based homogenization of electromagnetic properties of periodic media
• Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits
• On asymptotic elastodynamic homogenization approaches for periodic media
• Overall dynamic properties of three-dimensional periodic elastic composites
• Effective Willis constitutive equations for periodically stratified anisotropic elastic media
• 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
• Higher order asymptotic homogenization and wave propagation in periodic composite materials
• Variational and Related Methods for the Overall Properties of Composites
• Homogenization and Two-Scale Convergence
• On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm
• Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
• Non-local dispersive model for wave propagation in heterogeneous media: multi-dimensional case
• A rational framework for dynamic homogenization at finite wavelengths and frequencies
• Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems
• On modifications of Newton's second law and linear continuum elastodynamics

This page was built for publication: On two elastodynamic homogenization methods for periodic composites