Systematic Design of Metamaterials by Topology Optimization

DOI10.1007/978-1-4020-9557-3_16zbMath1207.74111OpenAlexW2096484170MaRDI QIDQ3081081

Ole Sigmund

Publication date: 11 March 2011

Published in: IUTAM Symposium on Modelling Nanomaterials and Nanosystems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9557-3_16

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Topological methods for optimization problems in solid mechanics (74P15)

Related Items

Topology optimization of an acoustic metamaterial with negative bulk modulus using local resonance ⋮ Dynamic homogenization of resonant elastic metamaterials with space/time modulation ⋮ A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials ⋮ CMA-ES-based structural topology optimization using a level set boundary expression -- application to optical and carpet cloaks

Cites Work

• Unnamed Item
• Generating optimal topologies in structural design using a homogenization method
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Optimal design of piezoelectric microstructures
• Material interpolation schemes in topology optimization
• Multiphase composites with extremal bulk modulus
• A new class of extremal composites
• Thermal expansion of isotropic multiphase composites and polycrystals
• Optimal design of periodic piezocomposites
• Band structure optimization of two-dimensional photonic crystals in \(H\)-polarization
• Optimizing multifunctional materials: design of microstructures for maximized stiffness and fluid permeability
• Design of maximum permeability material structures
• Controlling Electromagnetic Fields
• The method of moving asymptotes—a new method for structural optimization
• Maximizing Band Gaps in Two-Dimensional Photonic Crystals
• Systematic design of phononic band–gap materials and structures by topology optimization