Microstructural Topological Sensitivities of the Second-Order Macroscopic Model for Waves in Periodic Media

DOI10.1137/17M1149018zbMath1402.35028OpenAlexW2796867343WikidataQ129433113 ScholiaQ129433113MaRDI QIDQ4577826

Bojan B. Guzina, Marc Bonnet, R. Cornaggia

Publication date: 3 August 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1149018

zbMATH Keywords

periodic perturbationsecond-order homogenization

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items

Anisotropic structure of two-dimensional linear Cosserat elasticity, Time-domain simulation of wave propagation across resonant meta-interfaces, Emergence of elastostatic strain-gradient effects from topological optimization, Explicit harmonic structure of bidimensional linear strain-gradient elasticity, Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes

Uses Software

• FreeFem++

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