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.
Received: 10 April 2013
Published: 26 November 2013
Fund:The project was supported by the National Natural Science Foundation of China (11372060, 10902018, 91216201, and 11326005), the National Basic Research Program of China (2011CB610304) and the Major National Science and Technology Project (2011ZX02403-002).
Cite this article:
Jun Yan,Wen-Bo Hu,Zhen-Hua Wang et al. Size effect of lattice material and minimum weight design[J]. Acta Mechanica Sinica, 2014, 30(2): 191-197.