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Size effect of lattice material and minimum weight design
作者姓名:Jun Yan  Wen-Bo Hu  Zhen-Hua Wang  Zun-Yi Duan
基金项目:supported by the National Natural Science Foundation of China(11372060,10902018,91216201,and 11326005);the National Basic Research Program of China(2011CB610304);the Major National Science and Technology Project(2011ZX02403-002)
摘    要:The size effects of microstructure of lattice materials on structural analysis and minimum weight design are studied with extented multiscale finite element method(EMsFEM) in the paper. With the same volume of base material and configuration, the structural displacement and maximum axial stress of micro-rod of lattice structures with different sizes of microstructure are analyzed and compared.It is pointed out that different from the traditional mathematical homogenization method, EMsFEM is suitable for analyzing the structures which is constituted with lattice materials and composed of quantities of finite-sized micro-rods.The minimum weight design of structures composed of lattice material is studied with downscaling calculation of EMsFEM under stress constraints of micro-rods. The optimal design results show that the weight of the structure increases with the decrease of the size of basic sub-unit cells. The paper presents a new approach for analysis and optimization of lattice materials in complex engineering constructions.

关 键 词:晶格结构  尺寸效应  重量设计  基体材料  组织结构分析  轴向应力  材料构成  均匀化方法

Size effect of lattice material and minimum weight design
Jun Yan,Wen-Bo Hu,Zhen-Hua Wang,Zun-Yi Duan.Size effect of lattice material and minimum weight design[J].Acta Mechanica Sinica,2014,30(2):191-197.
Authors:Jun Yan  Wen-Bo Hu  Zhen-Hua Wang  Zun-Yi Duan
Institution:1. Dalian University of Technology, 116024, Dalian, China
Abstract:The size effects of microstructure of lattice materials on structural analysis and minimum weight design are studied with extented multiscale finite element method (EMsFEM) in the paper. With the same volume of base material and configuration, the structural displacement and maximum axial stress of micro-rod of lattice structures with different sizes of microstructure are analyzed and compared. It is pointed out that different from the traditional mathematical homogenization method, EMsFEM is suitable for analyzing the structures which is constituted with lattice materials and composed of quantities of finite-sized micro-rods. The minimum weight design of structures composed of lattice material is studied with downscaling calculation of EMs-FEM under stress constraints of micro-rods. The optimal design results show that the weight of the structure increases with the decrease of the size of basic sub-unit cells. The paper presents a new approach for analysis and optimization of lattice materials in complex engineering constructions.
Keywords:Lattice material  Light weight design  Size ef-fect  Extented multiscale finite element method
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