Evolutionary topology optimization of periodic composites for extremal magnetic permeability and electrical permittivity

DOI10.1007/s00158-012-0766-8zbMath1274.78096OpenAlexW2095361069WikidataQ63990060 ScholiaQ63990060MaRDI QIDQ381845

Baohua Jia, Xiaodong Huang, Yi-Min Xie, Qing Li, Shi Wei Zhou

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-012-0766-8

zbMATH Keywords

homogenizationtopology optimizationeffective permittivity\texttt{ANSYS}bidirectional evolutionary structural optimization (BESO)effective permeability

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Homogenization in equilibrium problems of solid mechanics (74Q05) Topological methods for optimization problems in solid mechanics (74P15) Homogenization in optics and electromagnetic theory (78M40)

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Uses Software

• ANSYS
• ESOFRAME

Cites Work

• Unnamed Item
• Evolutionary topology optimization of continuum structures with an additional displacement constraint
• A topology optimization method for design of negative permeability metamaterials
• Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
• Design sensitivity analysis of structural systems
• Generating optimal topologies in structural design using a homogenization method
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Structural boundary design via level set and immersed interface methods
• A level set method for structural topology optimization.
• Design of maximum permeability material structures
• Evolutionary Topology Optimization of Continuum Structures
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
• Evolutionary structural optimisation (ESO) using a bidirectional algorithm