Multiscale optimal design method of acoustic metamaterials using topology optimization

DOI10.1002/nme.7237OpenAlexW4360613856MaRDI QIDQ6082506

Unnamed Author, Yuki Noguchi, Takayuki Yamada, Kazuhiro Izui, Unnamed Author, Kozo Furuta, Shinji Nishiwaki

Publication date: 29 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.7237

zbMATH Keywords

level-set methodhigh-frequency homogenization methodanisotropic metamaterialmacro-scale optimization problem

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Topological methods for optimization problems in solid mechanics (74P15) Numerical and other methods in solid mechanics (74S99) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items

A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems

Cites Work

• Unnamed Item
• 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
• Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions
• Homogenisation for elastic photonic crystals and dynamic anisotropy
• Generating optimal topologies in structural design using a homogenization method
• Non-homogeneous media and vibration theory
• Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
• A homogenization method for shape and topology optimization
• Topological sensitivity analysis
• Structural optimization using sensitivity analysis and a level-set method.
• Topology optimization design scheme for broadband non-resonant hyperbolic elastic metamaterials
• Dynamic homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on gratings
• Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method
• A level set method for topology optimization of heat conduction problem under multiple load cases
• Topology optimization of dielectric substrates for filters and antennas using SIMP
• Wave Mechanics in Media Pinned at Bravais Lattice Points
• Topological Derivatives for Shape Reconstruction
• High-frequency homogenization for periodic media
• Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation
• Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique
• Topology optimization of fluids in Stokes flow
• THE TOPOLOGICAL DERIVATIVE FOR THE POISSON'S PROBLEM
• The method of steepest descent for non-linear minimization problems