On the second-order homogenization of wave motion in periodic media and the sound of a chessboard
DOI10.1016/j.jmps.2015.03.001zbMath1349.74300OpenAlexW2032513775MaRDI QIDQ340038
Antoine Wautier, Bojan B. Guzina
Publication date: 11 November 2016
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmps.2015.03.001
dispersionchessboard materialphononic band gapsecond-order anisotropysecond-order homogenizationwaves in periodic media
Waves in solid mechanics (74J99) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Material properties given special treatment (74E99)
Related Items (15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Overall dynamic constitutive relations of layered elastic composites
- Wave propagation in linear and nonlinear periodic media. Analysis and applications.
- Effective properties of elastic periodic composite media with fibers
- Wave dispersion in gradient elastic solids and structures: a unified treatment
- Bloch wave homogenization and spectral asymptotic analysis
- Non-homogeneous media and vibration theory
- Variational principles for dynamic problems for inhomogeneous elastic media
- Rayleigh scattering in elastic composite materials
- Asymptotic homogenization of elastic composite materials with a regular structure
- Microstructural effects in elastic composites
- Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions
- Correctors for the homogenization of the wave and heat equations
- Planewave expansion methods for photonic crystal fibres
- On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
- Theories of elasticity with couple-stress
- Space-time multiscale model for wave propagation in heterogeneous media
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- On causality of the gradient elasticity models
- 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
- Irreducible invariants of fourth-order tensors
- Variational and Related Methods for the Overall Properties of Composites
- Homogenization and Two-Scale Convergence
- First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
- Eigenvalue problems for doubly periodic elastic structures and phononic band gaps
- Elastic waves and homogenization in oblique periodic structures
- 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
- Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems
- On modifications of Newton's second law and linear continuum elastodynamics
- Non-local homogenized limits for composite media with highly anisotropic periodic fibres
- Asymptotic Theory of Wave‐Motion in Rods (Longitudinal Wave‐Motion)
This page was built for publication: On the second-order homogenization of wave motion in periodic media and the sound of a chessboard