Hierarchical Infills for Additive Manufacturing Through a Multiscale Approach

被引:3
作者
Bruggi, Matteo [1 ]
Taliercio, Alberto [1 ]
机构
[1] Politecn Milan, Dept Civil & Environm Engn, Milan, Italy
关键词
Structural optimization; Additive manufacturing; Hierarchical infill; Homogenization; Lattice structures; Multiscale analysis; TOPOLOGY OPTIMIZATION; LATTICE STRUCTURES; HOMOGENIZATION; DESIGN;
D O I
10.1007/s10957-020-01685-y
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A numerical method is presented to generate hierarchical infills for additive manufacturing, using homogenization and optimization. Given the shape and the allowed stages of grading, the macroscopic properties of each level of the hierarchical infill are computed through numerical homogenization. Then, a multi-material optimization problem is formulated to find the distribution of the prescribed discrete set of candidates that maximizes the structural stiffness of the object to be printed for a limited volume fraction. The formulation is endowed with an additional overturning constraint to achieve objects that resist gravity in a stable configuration. Numerical simulations, addressing the design of a self-supporting orthotropic rhombic infill and a stiff isotropic triangular one, are shown.
引用
收藏
页码:654 / 682
页数:29
相关论文
共 49 条
[1]   Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework [J].
Aage, Niels ;
Andreassen, Erik ;
Lazarov, Boyan Stefanov .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2015, 51 (03) :565-572
[2]   Topology optimization of modulated and oriented periodic microstructures by the homogenization method [J].
Allaire, Gregoire ;
Geoffroy-Donders, Perle ;
Pantz, Olivier .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (07) :2197-2229
[3]   Optimizing supports for additive manufacturing [J].
Allaire, Gregoire ;
Bogosel, Beniamin .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2018, 58 (06) :2493-2515
[4]   Design of truss-like cellular structures using relative density mapping method [J].
Alzahrani, Mahmoud ;
Choi, Seung-Kyum ;
Rosen, David W. .
MATERIALS & DESIGN, 2015, 85 :349-360
[5]   How to determine composite material properties using numerical homogenization [J].
Andreassen, Erik ;
Andreasen, Casper Schousboe .
COMPUTATIONAL MATERIALS SCIENCE, 2014, 83 :488-495
[6]  
[Anonymous], 1988, Applied Mechanics Reviews, DOI [DOI 10.1115/1.3151907, 10.1115/1.3151907]
[7]   Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods [J].
Arabnejad, Sajad ;
Pasini, Damiano .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2013, 77 :249-262
[8]  
Beckers M, 1999, STRUCT OPTIMIZATION, V17, P14
[9]  
Bendse MP., 2003, Topology Optimization
[10]   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