A polytree-based adaptive polygonal finite element method for multi-material topology optimization

被引：68

作者：

Chau, Khai N. ^{[1
,2
]}

Chau, Khanh N. ^{[1
,2
]}

Tuan Ngo ^{[3
]}

Hackl, Klaus ^{[4
]}

Nguyen-Xuan, H. ^{[2
,5
]}

机构：

[1] Vietnamese German Univ, Computat Engn Dept, Ho Chi Minh City 700000, Vietnam

[2] Ho Chi Minh City Univ Technol Hutech, Ctr Interdisciplinary Res, Ho Chi Minh City 700000, Vietnam

[3] Univ Melbourne, Dept Infrastruct Engn, Parkville, Vic 3010, Australia

[4] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, D-44780 Bochum, Germany

[5] China Med Univ, Grad Inst Rehabil Sci, Dept Phys Therapy, Taichung 40402, Taiwan

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2018年 / 332卷

关键词：

Polytree; Topology optimization; Multi-material; Optimality criteria method; Adaptive filter; Alternating active phase; SHAPE OPTIMIZATION; ISOGEOMETRIC ANALYSIS; DESIGN; DISPLACEMENT; ALGORITHM; IMPLEMENTATION; INTERPOLANTS; PROPAGATION; INTEGRATION; FRACTURE;

D O I：

10.1016/j.cma.2017.07.035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study presents a polytree-based adaptive methodology for multi-material topology optimization (MMTOP). Polytree data structure is introduced as a general recursive multi-level mesh that is automatically refined in processing based on error analysis. In order to resolve hanging nodes in element edges, the Wachspress coordinate is employed on a reference element before using a mapping scheme to obtain shape functions and their derivatives for any polygons. A new definition of filter radius is also proposed to improve the efficiency of filters and optimized results. The combination of polytree meshes and adaptive filters not only clarifies the interfaces between material phases (including void phase), but also decreases the computing time of the overall process in comparison to using the regular fine meshes. Several benchmark and practical problems are considered to show distinct features of the proposed method. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：712 / 739

页数：28

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