Adaptive mesh refinement for topology optimization with discrete geometric components

DOI10.1016/j.cma.2020.112930zbMath1442.74185arXiv1910.05585OpenAlexW3009462940MaRDI QIDQ2180450

Arun L. Gain, Shanglong Zhang, Julian A. Norato

Publication date: 14 May 2020

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

Full work available at URL: https://arxiv.org/abs/1910.05585

zbMATH Keywords

adaptive mesh refinementtopology optimizationgeometry projection

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (5)

Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: problem clarification and solutions verification ⋮ Additive manufacturing applications of phase‐field‐based topology optimization using adaptive isogeometric analysis ⋮ Fast heat transfer simulation for laser powder bed fusion ⋮ A reaction diffusion-based level set method using body-fitted mesh for structural topology optimization ⋮ Topological gradient in structural optimization under stress and buckling constraints

Uses Software

• deal.ii
• LBFGS-B

Cites Work

• Optimal topologies derived from a phase-field method
• The deal.II library, version 9.0
• Minimum length scale control in structural topology optimization based on the moving morphable components (MMC) approach
• Topology optimization using moving morphable bars for versatile thickness control
• Explicit three dimensional topology optimization via moving morphable void (MMV) approach
• Self-supporting structure design in additive manufacturing through explicit topology optimization
• Stress-based topology optimization with discrete geometric components
• Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
• A moving morphable void (MMV)-based explicit approach for topology optimization considering stress constraints
• A geometry projection method for continuum-based topology optimization with discrete elements
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods
• deal.II—A general-purpose object-oriented finite element library
• The method of moving asymptotes—a new method for structural optimization
• Layout optimization withh-adaptivity of structures
• A Limited Memory Algorithm for Bound Constrained Optimization
• A geometry projection method for shape optimization
• An adaptive multilevel approach to the minimal compliance problem in topology optimization

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