Some considerations on multi-material topology optimization using ordered SIMP

Ordered solid isotropic material with penalization (SIMP) interpolation has emerged as an interesting technique in multi-material topology optimization. The computational cost of this approach is independent of the number of materials considered. However, an unusual behavior is observed when using t...

Full description

Saved in:
Bibliographic Details
Published in:Structural and multidisciplinary optimization 2022-09, Vol.65 (9), Article 261
Main Authors: da Silveira, Otavio Augusto Alves, Palma, Lucas Farias
Format: Article
Language:English
Subjects:
Algorithms
Computational Mathematics and Numerical Analysis
Computing costs
Engineering
Engineering Design
Filtration
Finite element method
Interpolation
Isotropic material
Optimization
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Variables
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:Ordered solid isotropic material with penalization (SIMP) interpolation has emerged as an interesting technique in multi-material topology optimization. The computational cost of this approach is independent of the number of materials considered. However, an unusual behavior is observed when using the original material model equations (Zuo and Saitou in Struct Multidisc Optim 55:477–491, 2017). This paper proposes modified material and cost models for ordered interpolation. This new ordered SIMP presents the desired interpolation characteristics discussed in the original paper and is suitable for non-monotonic properties. Density filtering is used to remove checkerboard patterns and ensure mesh convergence. A threshold projection is tailored for multi-material ordered SIMP in order to reduce the presence of intermediate densities. A comparative analysis of the original interpolation with the modified one is made through various numerical examples. Some issues related to the filtering techniques and boundary effects on an ordered SIMP are identified.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-022-03379-7