Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method

DOI10.1016/j.cma.2018.02.031zbMath1440.74307OpenAlexW2789909964MaRDI QIDQ2310955

Takayuki Yamada, Shinji Nishiwaki, Kazuhiro Izui, Yuki Noguchi

Publication date: 7 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.02.031

zbMATH Keywords

level set methodtopology optimizationhigh-frequency homogenization methodacoustic metamaterialanisotropic metamaterialhyperbolic metamaterial

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Topological methods for optimization problems in solid mechanics (74P15)

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Cites Work

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• A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures
• A topology optimization method for design of negative permeability metamaterials
• A topology optimization method based on the level set method incorporating a fictitious interface energy
• A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials
• Homogenisation for elastic photonic crystals and dynamic anisotropy
• Generating optimal topologies in structural design using a homogenization method
• Non-homogeneous media and vibration theory
• Topological sensitivity analysis
• Structural optimization using sensitivity analysis and a level-set method.
• On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
• Dynamic homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on gratings
• A level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver
• Topology optimization of an acoustic Horn
• Level set-based topology optimization targeting dielectric resonator-based composite right- and left-handed transmission lines
• Wave Mechanics in Media Pinned at Bravais Lattice Points
• Topological Derivatives for Shape Reconstruction
• Solving inhomogeneous inverse problems by topological derivative methods
• High-frequency homogenization for periodic media
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Systematic design of phononic band–gap materials and structures by topology optimization
• THE TOPOLOGICAL DERIVATIVE FOR THE POISSON'S PROBLEM
• Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
• Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects