Topology optimization of light structures using the natural neighbour radial point interpolation method

DOI10.1007/s11012-021-01459-4zbMath1527.74058OpenAlexW4206149785MaRDI QIDQ6113565

Jorge Belinha, Raul D. S. G. Campilho, D. C. Gonçalves, J. D. F. Lopes

Publication date: 9 August 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-021-01459-4

zbMATH Keywords

meshless methodVoronoï diagrambi-directional evolutionary topology optimization

Mathematics Subject Classification ID

Thin bodies, structures (74K99) Topological methods for optimization problems in solid mechanics (74P15) Numerical and other methods in solid mechanics (74S99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Meshless methods: a review and computer implementation aspects
• Analysis of 3D solids using the natural neighbour radial point interpolation method
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Structural optimization using sensitivity analysis and a level-set method.
• The method of finite spheres
• Computational efficiency and validation of bi-directional evolutionary structural optimisation
• Structural boundary design via level set and immersed interface methods
• On the optimal shape parameters of radial basis functions used for 2-D meshless methods
• A level-set method for shape optimization.
• Boundary effects in a phase-field approach to topology optimization
• Some recent results and proposals for the use of radial basis functions in the BEM
• Evolutionary structural optimisation using an additive algorithm
• A level-set based IGA formulation for topology optimization of flexoelectric materials
• An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications
• Meshless methods in biomechanics. Bone tissue remodelling analysis
• An Overview on Meshfree Methods: For Computational Solid Mechanics
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• The natural element method in solid mechanics
• Element‐free Galerkin methods
• Design-dependent loads in topology optimization
• Evolutionary structural optimisation (ESO) using a bidirectional algorithm
• A point interpolation meshless method based on radial basis functions
• Reproducing kernel particle methods
• MESHFREE METHODS AND THEIR COMPARISONS

This page was built for publication: Topology optimization of light structures using the natural neighbour radial point interpolation method