Optimization of graded filleted lattice structures subject to yield and buckling constraints
File(s)
Published version
Author(s)
Wang, Xiaoyang
Zhu, Lei
Sun, Liao
Li, Nan
Type
Journal Article
Abstract
To reduce the stress concentration and ensure structural safety for lattice structure designs, in this paper, a new optimization framework is developed for the optimal design of graded lattice structures, innovatively integrating fillet designs as well as yield and buckling constraints. Both relative strut radii and fillet parameters are defined as design variables, for BCC and PC lattices. Numerical homogenization is employed to characterize the effective elastic constants and yield stresses of the lattice metamaterials. Metamaterial models are developed to represent the relationships between the metamaterial effective properties and lattice geometric variables. Yield and buckling constraints, based on modified Hill’s yield criterion as well as Euler and Johnson buckling formulae respectively, are developed as functions of lattice geometric variables. A new optimization framework is proposed with both yield and buckling constraints integrated. A case study on minimizing the compliance of a Messerschmitt-Bolkow-Blohm beam, composed of either BCC or PC lattices, is conducted. The yield and buckling constraints guarantee the structural safety of the optimized lattice beams. The optimized beams composed of filleted lattices, compared with non-filleted lattices in the corresponding type, show reduced proportions subject to high modified Hill’s stress (
Date Issued
2021-08
Date Acceptance
2021-04-15
Citation
Materials & Design, 2021, 206, pp.1-17
ISSN
0264-1275
Publisher
Elsevier BV
Start Page
1
End Page
17
Journal / Book Title
Materials & Design
Volume
206
Copyright Statement
© 2021 Published by Elsevier Ltd.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Identifier
https://www.sciencedirect.com/science/article/pii/S0264127521002999?via%3Dihub
Subjects
cond-mat.mes-hall
cond-mat.mes-hall
Materials
0910 Manufacturing Engineering
0912 Materials Engineering
0913 Mechanical Engineering
Publication Status
Published
Article Number
109746
Date Publish Online
2021-04-17