Multiscale thermal and thermo-structural optimization of three-dimensional lattice structures
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Published version
OA Location
Author(s)
Imediegwu, Chikwesiri
Murphy, Ryan
Hewson, Robert
Santer, Matthew
Type
Journal Article
Abstract
This paper develops a robust framework forthe multiscale design of three-dimensional lattices with macroscopically tailored thermal and thermo-structural characteristics. A multiscale approach is implemented where the discrete evaluations of small-scale lattice unitcell characteristics are converted to response surfacemodels so that the properties exist as continuous functions of the lattice micro-parameters. The derived frame-work constitutes free material optimization in the space of manufacturable lattice micro-architecture. The optimization of individual lattice member dimensions is enabled by the adjoint method and the explicit expressions of the response surface material property sensitivities. The approach is demonstrated by solving thermaland thermo-structural optimization problems, significantly extending previous work which focused on linear structural response. The thermal optimization solu-tion shows a design with improved optimality compared to the SIMP methodology. The thermo-structural optimization solution demonstrates the method’s capability for attaining a prescribed displacement in response to temperature gradients.
Date Issued
2021-09-14
Date Acceptance
2021-09-07
Citation
Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems, 2021, 65 (13), pp.1-21
ISSN
1615-147X
Publisher
Springer
Start Page
1
End Page
21
Journal / Book Title
Structural and Multidisciplinary Optimization: computer-aided optimal design of stressed solids and multidisciplinary systems
Volume
65
Issue
13
Copyright Statement
© The Author(s) 2021. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
https://link.springer.com/article/10.1007%2Fs00158-021-03087-8
Subjects
Science & Technology
Technology
Computer Science, Interdisciplinary Applications
Engineering, Multidisciplinary
Mechanics
Computer Science
Engineering
Additive manufacturing
Heterogeneous multiscale methods
Homogenization
Free material optimization
Lattice
Thermo-structural optimization
TOPOLOGY OPTIMIZATION
ASYMPTOTIC HOMOGENIZATION
METAMATERIALS
DESIGN
Design Practice & Management
01 Mathematical Sciences
09 Engineering
Publication Status
Published
Date Publish Online
2021-12-21