Convergence of topological patterns of optimal periodic structures under multiple scales

DOI10.1007/s00158-011-0750-8zbMath1274.74418OpenAlexW2108503851MaRDI QIDQ381816

Jian Hua Rong, Zhi Hao Zuo, Xiaodong Huang, Yi-Min Xie

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/s00158-011-0750-8

zbMATH Keywords

topology optimizationstiffness optimizationfrequency optimizationtopological pattern

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15)

Related Items (11)

Size effect of lattice material and minimum weight design ⋮ Multi-scale robust design and optimization considering load uncertainties ⋮ A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures ⋮ Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material ⋮ Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner ⋮ A reaction diffusion-based level set method using body-fitted mesh for structural topology optimization ⋮ Parameterized level-set based topology optimization method considering symmetry and pattern repetition constraints ⋮ Design of optimized architected structures with exact size and connectivity via an enhanced multidomain topology optimization strategy ⋮ Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model ⋮ Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review ⋮ Concurrent design with connectable graded microstructures

Cites Work

• A critical review of established methods of structural topology optimization
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• A level set method for structural topology optimization.
• Evolutionary Topology Optimization of Continuum Structures
• Scale‐related topology optimization of cellular materials and structures

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