An efficient multi-resolution topology optimization scheme for stiffness maximization and stress minimization

DOI10.1080/0305215x.2020.1853713zbMath1523.74150MaRDI QIDQ6048102

Gui-Lin Wen, Hongxin Wang, Jie Liu

Publication date: 10 October 2023

Published in: Engineering Optimization (Search for Journal in Brave)

zbMATH Keywords

XFEMlarge-scale modelhigh-resolution modelstress minimizationstiffness maximizationmulti-resolution framework

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) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

• Unnamed Item
• A computational paradigm for multiresolution topology optimization (MTOP)
• Efficient topology optimization in MATLAB using 88 lines of code
• On projection methods, convergence and robust formulations in topology optimization
• A simple and efficient preconditioning scheme for Heaviside enriched XFEM
• The partition of unity finite element method: basic theory and applications
• Parallelized structural topology optimization for eigenvalue problems
• A level set method for structural topology optimization.
• Stress-based topology optimization using bi-directional evolutionary structural optimization method
• A nodal variable method of structural topology optimization based on Shepard interpolant
• Improving multiresolution topology optimization via multiple discretizations
• The method of moving asymptotes—a new method for structural optimization
• Elastic crack growth in finite elements with minimal remeshing
• An efficient evolutionary structural optimization method with smooth edges based on the game of building blocks
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions
• Modeling holes and inclusions by level sets in the extended finite element method
• Large-scale topology optimization in 3D using parallel computing
• Design of multiphysics actuators using topology optimization. I: One-material structures. II: Two-material structures.

This page was built for publication: An efficient multi-resolution topology optimization scheme for stiffness maximization and stress minimization