A discontinuous Galerkin level set method using distributed shape gradient and topological derivatives for multi-material structural topology optimization

A new level set method is developed for multi-material structural topology optimization. The method features in using the discontinuous Galerkin finite-element method for discretization of the level set transport equation and the distributed shape gradient. Moreover, the topological derivative is in...

Full description

Saved in:
Bibliographic Details
Published in:Structural and multidisciplinary optimization 2023-07, Vol.66 (7), p.170, Article 170
Main Authors: Tan, Yixin, Zhu, Shengfeng
Format: Article
Language:English
Subjects:
Algorithms
Computational Mathematics and Numerical Analysis
Engineering
Engineering Design
Finite element analysis
Finite element method
Galerkin method
Mathematical analysis
Numerical analysis
Optimization
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Transport equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new level set method is developed for multi-material structural topology optimization. The method features in using the discontinuous Galerkin finite-element method for discretization of the level set transport equation and the distributed shape gradient. Moreover, the topological derivative is incorporated into the present algorithm as a possible way to escape from local minima through creating holes during optimization. Numerical examples are provided to verify effectiveness of the numerical algorithm.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-023-03617-6