Willis elastodynamic homogenization theory revisited for periodic media
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Publication:339925
DOI10.1016/j.jmps.2014.12.011zbMath1349.74302OpenAlexW1966837821MaRDI QIDQ339925
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.2014.12.011
Inhomogeneity in solid mechanics (74E05) Effective constitutive equations in solid mechanics (74Q15) Waves in solid mechanics (74J99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Overall dynamic constitutive relations of layered elastic composites
- Transient computational homogenization for heterogeneous materials under dynamic excitation
- Multi-displacement microstructure continuum modeling of anisotropic elastic metamaterials
- 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
- On the limit and applicability of dynamic homogenization
- 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 rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
- Elastic cloaking theory
- Microstructurally-based homogenization of electromagnetic properties of periodic media
- Overall dynamic properties of three-dimensional periodic elastic composites
- Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin–Shtrikman type
- Effective Willis constitutive equations for periodically stratified anisotropic elastic media
- Effective constitutive relations for waves in composites and metamaterials
- Higher order asymptotic homogenization and wave propagation in periodic composite materials
- Acoustic cloaking theory
- High-frequency homogenization for periodic media
- Analytical formulation of three-dimensional dynamic homogenization for periodic elastic systems
- On modifications of Newton's second law and linear continuum elastodynamics
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