Data-driven design of graded composite lattice structures with multiple microstructure prototypes and materials

被引：17

作者：

Liu, Hui ^{[1
,2
]}

Chen, Lianxiong ^{[1
]}

Jiang, Hongyi ^{[1
]}

Duan, Suhang ^{[1
]}

Luo, Songyuan ^{[1
]}

Wang, Xinzhong ^{[3
]}

机构：

[1] Wuhan Univ, Sch Civil Engn, Wuhan, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian, Peoples R China

[3] Shenzhen Inst Informat Technol, Dept Elect Commun & Technol, Shenzhen, Peoples R China

来源：

COMPOSITE STRUCTURES | 2023年 / 305卷

基金：

中国国家自然科学基金;

关键词：

Graded composite lattice structure; Multiscale optimization; Microstructure prototypes; Data-driven; Homogenization; LEVEL SET METHOD; TOPOLOGY OPTIMIZATION; CONTINUUM STRUCTURES; HOMOGENIZATION;

D O I：

10.1016/j.compstruct.2022.116485

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Lattice structures have attracted much attention from engineers due to their excellent properties, especially with the rise of additive manufacturing technology. In this paper, a homogenization-based data-driven op-timization method is proposed for designing graded composite lattice structures composed of a series of composite lattice microstructures generated from different microstructure prototypes, which are represented by using corresponding basic level set functions. Using different cutting planes to cut the same basic level set function can obtain a series of basic microstructures with different relative densities and similar configurations. The composite lattice microstructures can be obtained by combining the basic microstructures generated from different basic level set functions. The homogenization approach is used to calculate the equivalent elasticity matrix of the composite lattice microstructure. The mapping relationships among its density, equivalent elasticity matrix, and the height of cutting plane are established. Numerical examples of both compliance minimization and frequency maximization problems are conducted to verify the validation and effectiveness of the proposed method.

引用

页数：16

共 39 条

[1] How to determine composite material properties using numerical homogenization [J].

Andreassen, Erik ;

Andreasen, Casper Schousboe .

COMPUTATIONAL MATERIALS SCIENCE, 2014, 83 :488-495

[2] Efficient topology optimization in MATLAB using 88 lines of code [J].

Andreassen, Erik ;

Clausen, Anders ;

Schevenels, Mattias ;

Lazarov, Boyan S. ;

Sigmund, Ole .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 43 (01) :1-16

[3]

Bendsoe M P, 1995, OPTIMIZATION STRUCTU

[4] GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD [J].

BENDSOE, MP ;

KIKUCHI, N .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) :197-224

[5] Multi-scale design of an architected composite structure with optimized graded properties [J].

Casalotti, Arnaldo ;

D'Annibale, Francesco ;

Rosi, Giuseppe .

COMPOSITE STRUCTURES, 2020, 252

[6] Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps [J].

Du, Jianbin ;

Olhoff, Niels .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2007, 34 (02) :91-110

[7] Homogenization-based topology optimization for high-resolution manufacturable microstructures [J].

Groen, Jeroen P. ;

Sigmund, Ole .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (08) :1148-1163

[8] A review of homogenization and topology optimization I - homogenization theory for media with periodic structure [J].

Hassani, B ;

Hinton, E .

COMPUTERS & STRUCTURES, 1998, 69 (06) :707-717

[9] A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations [J].

Hassani, B ;

Hinton, E .

COMPUTERS & STRUCTURES, 1998, 69 (06) :719-738

[10] A review of homogenization and topology optimization III - topology optimization using optimality criteria [J].

Hassani, B ;

Hinton, E .

COMPUTERS & STRUCTURES, 1998, 69 (06) :739-756

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