| An analytical method to calculate effective elastic properties of mapped rhombic dodecahedron structures fabricated with electron beam melting | |
| Yu, Boning1,2; Li, Yuming2; Abbes, Boussad2; Li, Shujun3; Yu, Baoyi1,4 | |
| Corresponding Author | Yu, Baoyi(baoyiy@163.com) |
| 2022-08-01 | |
| Source Publication | MATERIALS TODAY COMMUNICATIONS
 |
| Volume | 32Pages:13 |
| Abstract | 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. |
| Keyword | Mapped rhombic dodecahedron Effective elastic modulus Additive manufacturing Analytical model |
| DOI | 10.1016/j.mtcomm.2022.103993 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Materials Science |
| WOS Subject | Materials Science, Multidisciplinary |
| WOS ID | WOS:000836178200002 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/174612 |
| Collection | 中国科学院金属研究所 |
| Corresponding Author | Yu, Baoyi |
| Affiliation | 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 |
| Recommended Citation 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. |
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