Topology optimization of periodic lattice structures taking into account strain gradient

被引：46

作者：

Da, Daicong ^{[1
,2
]}

Yvonnet, Julien ^{[2
]}

Xia, Liang ^{[3
]}

Minh Vuong Le ^{[2
]}

Li, Guangyao ^{[1
]}

机构：

[1] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China

[2] Univ Paris Est, CNRS, Lab Modelisat & Simulat Multi Echelle MSME, UMR 8208, 5 Bd Descartes, F-77454 Marne La Vallee, France

[3] Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan, Hubei, Peoples R China

来源：

COMPUTERS & STRUCTURES | 2018年 / 210卷

基金：

中国国家自然科学基金;

关键词：

Strain gradient; Non-separated scales; Lattice structures; Computational homogenization; Topology optimization; BESO; VISCOELASTIC COMPOSITE-MATERIALS; LEVEL-SET METHOD; HOMOGENIZATION SCHEME; SHAPE OPTIMIZATION; BULK MODULUS; DESIGN; MICROSTRUCTURES; MATLAB;

D O I：

10.1016/j.compstruc.2018.09.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a topology optimization for lattice structures in the case of non-separated scales, i.e. when the characteristic dimensions of the periodic unit cells in the lattice are not much smaller than the dimensions of the whole structure. The present method uses a coarse mesh corresponding to a homogenized medium taking into strain gradient through a non-local numerical homogenization method. Then, the topological optimization procedure only uses the values at the nodes of the coarse mesh, reducing drastically the computational times. We show that taking into account the strain gradient within the topological optimization procedure brings significant increase in the resulting stiffness of the optimized lattice structure when scales are not separated, as compared to using a homogenized model based on the scale separation assumption. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：28 / 40

页数：13

共 47 条

[1] Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner [J].