Imposing minimum and maximum member size, minimum cavity size, and minimum separation distance between solid members in topology optimization

DOI10.1016/j.cma.2020.113157zbMath1506.74271arXiv2003.00263OpenAlexW3033356148MaRDI QIDQ2021180

Yanyan Li

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00263

zbMATH Keywords

filteringmanufacturing constraintslength scaleSIMPminimum gap

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (13)

Three-field floating projection topology optimization of continuum structures ⋮ Casting-oriented structural topology optimization with dimensional shrinkage ⋮ An explicit formulation for minimum length scale control in density-based topology optimization ⋮ Length scale control schemes for bi‐directional evolutionary structural optimization method ⋮ Multi-material topology optimization for additive manufacturing considering dimensional constraints ⋮ Concurrent topology optimization of shells with pattern-guided infills for intuitive design and additive manufacturing ⋮ MFSE-based two-scale concurrent topology optimization with connectable multiple micro materials ⋮ Maximum thickness control in topology optimization using an inflection-point-based geometric constraint ⋮ Derivable skeletons in topology optimization for length scale control ⋮ Topology optimization of sandwich structures with solid-porous hybrid infill under geometric constraints ⋮ Smooth topological design of structures with minimum length scale and chamfer/round controls ⋮ A bio-inspired B-spline offset feature for structural topology optimization ⋮ Length scale control in density-based multi-material topology optimization

Uses Software

• PETSc
• PolyTop
• top.m
• top88.m

Cites Work

• Manufacturing tolerant topology optimization
• Imposing maximum length scale in topology optimization
• A simple and effective inverse projection scheme for void distribution control in topology optimization
• Efficient topology optimization in MATLAB using 88 lines of code
• On projection methods, convergence and robust formulations in topology optimization
• \texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
• Topological design of electromechanical actuators with robustness toward over- and under-etching
• Stress-constrained topology optimization considering uniform manufacturing uncertainties
• Maximum length scale in density based topology optimization
• Minimum length scale in topology optimization by geometric constraints
• Topology optimization of nonlinear elastic structures and compliant mechanisms

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