A rational framework for dynamic homogenization at finite wavelengths and frequencies

DOI10.1098/rspa.2018.0547zbMath1427.82047arXiv1805.07496OpenAlexW2803402103WikidataQ90102910 ScholiaQ90102910MaRDI QIDQ4973924

Shixu Ming, Othman Oudghiri-Idrissi, Bojan B. Guzina

Publication date: 6 December 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07496

zbMATH Keywords

finite frequencywaves in periodic mediaDirac pointsdynamic homogenizationfinite wavenumbernearby eigenvalues

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Statistical mechanics of crystals (82D25) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (6)

Homogenization of the wave equation with non-uniformly oscillating coefficients ⋮ Effective linear wave motion in periodic origami structures ⋮ Limiting boundary correctors for periodic microstructures and inverse homogenization series ⋮ Effective wave motion in periodic discontinua near spectral singularities at finite frequencies and wavenumbers ⋮ High-frequency homogenization in periodic media with imperfect interfaces ⋮ On two elastodynamic homogenization methods for periodic composites

Uses Software

• NGSolve

Cites Work

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