Variational formulation of dynamical homogenization towards nonlocal effective media
From MaRDI portal
Publication:2077480
DOI10.1016/j.euromechsol.2021.104487OpenAlexW4200588726MaRDI QIDQ2077480
Hilal Reda, Jean-François Ganghoffer
Publication date: 21 February 2022
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104487
variational formulationdispersion relationscomposite materialsFloquet-Bloch transformelastodynamic homogenizationnonlocal space-time constitutive law
Cites Work
- On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale
- Willis elastodynamic homogenization theory revisited for periodic media
- High frequency homogenization for structural mechanics
- Numerical simulation of acoustic band gaps in homogenized elastic composites
- Large scale modulation of high frequency waves in periodic elastic composites
- Homogenisation for elastic photonic crystals and dynamic anisotropy
- Bloch wave homogenization and spectral asymptotic analysis
- Elastic materials with couple-stresses
- Variational principles for dynamic problems for inhomogeneous elastic media
- On the role of gradients in the localization of deformation and fracture
- Rayleigh scattering in elastic composite materials
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- A tutorial survey on waves propagating in periodic media: electronic, photonic and phononic crystals. Perception of the Bloch theorem in both real and Fourier domains
- On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure
- Variationally consistent dynamics of nonlocal gradient elastic beams
- Anisotropic and dispersive wave propagation within strain-gradient framework
- Modeling micro-inertia in heterogeneous materials under dynamic loading
- On nonlocal elasticity
- Homogenization of the Schrödinger equation and effective mass theorems
- Micro-structure in linear elasticity
- On asymptotic elastodynamic homogenization approaches for periodic media
- Overall dynamic properties of three-dimensional periodic elastic composites
- Effective constitutive relations for waves in composites and metamaterials
- Second‐order computational homogenization of heterogeneous materials with periodic microstructure
- Defect Modes and Homogenization of Periodic Schrödinger Operators
- 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
- High-frequency homogenization for periodic media
- Homogenization and Two-Scale Convergence
- Wave Processes in Solids with Microstructure
- On an extension of the method of two-scale convergence and its applications
- Generalized Beams and Continua. Dynamics of Reticulated Structures
- Reciprocity in Elastodynamics
- Abnormal wave propagation behaviors in two-dimensional mass–spring structures with nonlocal effect
- Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems
- Causality and passivity in elastodynamics
- On modifications of Newton's second law and linear continuum elastodynamics
- Wave propagation and non-local effects in periodic frame materials: Generalized continuum mechanics
- Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models
- Random vibrations of stress-driven nonlocal beams with external damping
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Variational formulation of dynamical homogenization towards nonlocal effective media
