TY - JOUR
T1 - Stretching-dominated truss lattice materials
T2 - Elastic anisotropy evaluation, control, and design
AU - Wang, Shuheng
AU - Ma, Yongbin
AU - Deng, Zichen
N1 - Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/10/15
Y1 - 2022/10/15
N2 - In this paper, an analytical homogenization formula is derived based on the numerical representative volume element (RVE) method and asymptotic homogenization (AH) method for the effective elastic properties of truss lattice materials. Compared with the numerical homogenization method, the analytical homogenization formula can treat the geometric parameters of the truss structure, the elastic properties of the base material as well as the loading direction as independent variables without repeated modelling. Compared with the Gibson and Ashby's meso-mechanics model, the analytical homogenization formula can not only obtain the same calculation results, but also can conveniently evaluate and control the elastic properties of the stretching-dominated compound truss lattice structure with complex truss configuration and multi-material composition. According to the anisotropy and deformation characteristics of the elementary trusses, design methodologies for stretching-dominated compound truss lattice structures with controllable anisotropy and optimal isotropic elasticity are proposed. Based on the analytical homogenization formula, the elastic isotropy conditions of the stretching-dominated compound truss lattice materials can be obtained. In the end, the designed 3D elastically isotropic truss lattice structures and 2D bi-material elastically isotropic lattice structures are manufactured and tested to verify the correctness of the isotropy conditions and calculation results obtained by the analytical homogenization formula.
AB - In this paper, an analytical homogenization formula is derived based on the numerical representative volume element (RVE) method and asymptotic homogenization (AH) method for the effective elastic properties of truss lattice materials. Compared with the numerical homogenization method, the analytical homogenization formula can treat the geometric parameters of the truss structure, the elastic properties of the base material as well as the loading direction as independent variables without repeated modelling. Compared with the Gibson and Ashby's meso-mechanics model, the analytical homogenization formula can not only obtain the same calculation results, but also can conveniently evaluate and control the elastic properties of the stretching-dominated compound truss lattice structure with complex truss configuration and multi-material composition. According to the anisotropy and deformation characteristics of the elementary trusses, design methodologies for stretching-dominated compound truss lattice structures with controllable anisotropy and optimal isotropic elasticity are proposed. Based on the analytical homogenization formula, the elastic isotropy conditions of the stretching-dominated compound truss lattice materials can be obtained. In the end, the designed 3D elastically isotropic truss lattice structures and 2D bi-material elastically isotropic lattice structures are manufactured and tested to verify the correctness of the isotropy conditions and calculation results obtained by the analytical homogenization formula.
KW - Additive manufacturing
KW - Anisotropy evaluation and control
KW - Elastic properties
KW - Elastically isotropic design
KW - Truss lattice materials
UR - http://www.scopus.com/inward/record.url?scp=85135905489&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2022.116004
DO - 10.1016/j.compstruct.2022.116004
M3 - 文章
AN - SCOPUS:85135905489
SN - 0263-8223
VL - 298
JO - Composite Structures
JF - Composite Structures
M1 - 116004
ER -