An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting

doi:10.1016/j.mtcomm.2022.103993

IMR OpenIR

	An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting
	Yu, Boning 1,2; Li, Yuming 2; Abbes, Boussad 2; Li, Shujun 3; Yu, Baoyi 1,4
通讯作者	Yu, Baoyi(baoyiy@163.com)
	2022-08-01
发表期刊	MATERIALS TODAY COMMUNICATIONS
卷号	32 页码:13
摘要	Cellular rhombic dodecahedron (RD) structures fabricated in Ti6Al4V using the electron beam melting (EBM) process have been proposed for tissue scaffolds and medical implants that approximate the properties of bone. The mechanical properties of these structures have often been determined through compressive tests. The introduction of a uniaxial mapping ratio allows structures with personalized parameters and desired mechanical properties to be manufactured with respect to different border constraints without changing the porosity of the structure. In this study, a non-linear relationship between the effective modulus of elasticity and the number of cells was found for periodically arranged RD porous structures, and there were discrepancies in the modulus for different mapping ratios of specimens having the same size. An analytical model based on beam theory is therefore proposed to estimate the effective compressive elastic modulus and Poisson's ratio for such phenomenon. The analytical model predicts cases including 1 x 1 to infinity x infinity cells without boundary constraints and arbitrary mx n with boundary constraints, among which the 1 x 1 and infinity x infinity cases without boundary constraints give the lower and upper limits of the effective compressive modulus, respectively. The prediction accuracy of mx n cells with analytical solutions was verified by beam elements neglecting shearing effects in the FE method, and both gave identical results under the same constraints. However, the analytical method has advantages that are difficult to replace when dealing with models where the number and dimension of cells far exceed the computational capacity of numerical simulations. Influenced by surface quality, the effective modulus of the actual test is generally between the values predicted by the input-defined inner and outer diameters of the strut as an input.
关键词	Mapped rhombic dodecahedron Effective elastic modulus Additive manufacturing Analytical model
DOI	10.1016/j.mtcomm.2022.103993
收录类别	SCI
语种	英语
WOS研究方向	Materials Science
WOS类目	Materials Science, Multidisciplinary
WOS记录号	WOS:000836178200002
出版者	ELSEVIER
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/174612
专题	中国科学院金属研究所
通讯作者	Yu, Baoyi
作者单位	1.Shenyang Univ Technol, Shenyang, Peoples R China 2.Univ Reims, MATIM, Reims, France 3.Chinese Acad Sci, Inst Met Res, Shenyang, Peoples R China 4.Shenyang Univ Technol, Sch Mat Sci & Engn, 111 Shenliao West Rd, Shenyang 110870, Peoples R China
推荐引用方式 GB/T 7714	Yu, Boning,Li, Yuming,Abbes, Boussad,et al. An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting[J]. MATERIALS TODAY COMMUNICATIONS,2022,32:13.
APA	Yu, Boning,Li, Yuming,Abbes, Boussad,Li, Shujun,&Yu, Baoyi.(2022).An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting.MATERIALS TODAY COMMUNICATIONS,32,13.
MLA	Yu, Boning,et al."An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting".MATERIALS TODAY COMMUNICATIONS 32(2022):13.