Topology optimization using a continuous density field and adaptive mesh refinement

DOI10.1002/NME.5617zbMATH Open1548.74562MaRDI QIDQ6565190

Andrew B. Lambe, Aleksander Czekanski

Publication date: 1 July 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

optimizationelasticityfinite element methodsadaptivitytopology designcontinuous material

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) Sensitivity analysis for optimization problems on manifolds (49Q12)

Cites Work

• A computational paradigm for multiresolution topology optimization (MTOP)
• Eliminating beta-continuation from Heaviside projection and density filter algorithms
• \texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
• Stress constrained topology optimization
• Structural topology optimization based on non-local shepard interpolation of density field
• Topology optimization in B-spline space
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Stability of finite element models for distributed-parameter optimization and topology design
• Filters in topology optimization
• Filters in topology optimization based on Helmholtz-type differential equations
• Continuous approximation of material distribution for topology optimization
• deal.II—A general-purpose object-oriented finite element library
• Reducing dimensionality in topology optimization using adaptive design variable fields
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Layout optimization withh-adaptivity of structures
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions
• An adaptive multilevel approach to the minimal compliance problem in topology optimization

Related Items (5)

Computational morphogenesis: morphologic constructions using polygonal discretizations ⋮ An adaptive eigenfunction basis strategy to reduce design dimension in topology optimization ⋮ Adaptive topology optimization under suitably graded THB-spline refinement and coarsening ⋮ A density field parametrization for topology optimization using Bernstein elements ⋮ Parallel 3D topology optimization with multiple constraints and objectives

This page was built for publication: Topology optimization using a continuous density field and adaptive mesh refinement

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6565190)