Concurrent design with connectable graded microstructures

DOI10.1016/j.cma.2016.12.007zbMath1439.74239OpenAlexW2566560133MaRDI QIDQ2309015

Michael Yu Wang, Feifei Chen, Yi-Qiang Wang

Publication date: 6 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.2016.12.007

zbMATH Keywords

topology optimizationshape interpolationconcurrent designgraded microstructureconnectable microstructure

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Optimization of other properties in solid mechanics (74P10) Homogenization in equilibrium problems of solid mechanics (74Q05) Topological methods for optimization problems in solid mechanics (74P15)

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Uses Software

• top.m

Cites Work

• Multi-scale concurrent material and structural design under mechanical and thermal loads
• Convergence of topological patterns of optimal periodic structures under multiple scales
• Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material
• Exact analytical theory of topology optimization with some pre-existing members or elements
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Structural optimization using sensitivity analysis and a level-set method.
• A new class of extremal composites
• Concurrent topology optimization design of material and structure within \(\operatorname{FE}^2\) nonlinear multiscale analysis framework
• Topology optimization for microstructures of viscoelastic composite materials
• Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner
• Multiscale structural topology optimization with an approximate constitutive model for local material microstructure
• Topology optimization of geometrically nonlinear structures based on an additive hyperelasticity technique
• A level set method for structural topology optimization.
• Integrated design of cellular composites using a level-set topology optimization method
• Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data
• Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures
• Length scale control for structural optimization by level sets
• Nonlinear structural design using multiscale topology optimization. Part I: Static formulation
• Optimizing multifunctional materials: design of microstructures for maximized stiffness and fluid permeability
• Composite material design of two-dimensional structures using the homogenization design method
• Real-Time Nonlinear Shape Interpolation
• Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures
• The method of moving asymptotes—a new method for structural optimization
• Scale‐related topology optimization of cellular materials and structures

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