Investigation on the orientation dependence of elastic response in Gyroid cellular structures

Lei Yang; Chunze Yan; Haiyang Fan; Zhaoqing Li; Chao Cai; Peng Chen; Yusheng Shi; Shoufeng Yang

doi:10.1016/j.jmbbm.2018.09.042

Investigation on the orientation dependence of elastic response in Gyroid cellular structures

J Mech Behav Biomed Mater. 2019 Feb:90:73-85. doi: 10.1016/j.jmbbm.2018.09.042. Epub 2018 Sep 27.

Authors

Lei Yang¹, Chunze Yan², Haiyang Fan³, Zhaoqing Li⁴, Chao Cai⁴, Peng Chen⁴, Yusheng Shi⁴, Shoufeng Yang⁵

Affiliations

¹ State Key Laboratory of Materials Processing and Die & Mould Technology, School of Materials Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Mechanical Engineering, Member of Flanders Make, KU Leuven (Catholic University of Leuven), Leuven 3001, Belgium.
² State Key Laboratory of Materials Processing and Die & Mould Technology, School of Materials Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China. Electronic address: [email protected].
³ Department of Mechanical Engineering, Member of Flanders Make, KU Leuven (Catholic University of Leuven), Leuven 3001, Belgium.
⁴ State Key Laboratory of Materials Processing and Die & Mould Technology, School of Materials Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
⁵ Department of Mechanical Engineering, Member of Flanders Make, KU Leuven (Catholic University of Leuven), Leuven 3001, Belgium; Materials Research Group, Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, UK. Electronic address: [email protected].

PMID: 30359855
DOI: 10.1016/j.jmbbm.2018.09.042

Abstract

Materials used for hard tissue replacement should match the elastic properties of human bone tissue. Therefore, cellular structures are more favourable for the use of implants than solid materials for their custom-designed mechanical properties. The superimposed load from various directions in vivo makes uniaxial compression testing insufficient for describing the mechanical responses. In this paper, the rotational symmetry of Gyroid cellular structure (GCS) was discussed. An approach using structural simplification and analytical solution was presented to investigate the relationship between Young's modulus and volume fraction, as well as the orientation dependence of the mechanical responses for GCS loaded in various orientations. It is concluded that the analytical solution is reasonable for a low volume fraction, through the comparison between analytical results, finite element (FE) and experimental data. Gained polar diagrams illustrate the anisotropic property of GCS and also confirm the superiority for their stable mechanical responses of diverse loading directions.

Keywords: Analytical solution; Gyroid cellular structure; Triply periodic minimal surface; Young's modulus.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Alloys / chemistry
Anisotropy
Biocompatible Materials* / chemistry
Elastic Modulus
Finite Element Analysis
Mechanical Phenomena*
Models, Molecular
Molecular Conformation
Prostheses and Implants
Titanium / chemistry
Weight-Bearing

Substances

Alloys
Biocompatible Materials
titanium alloy (TiAl6V4)
Titanium