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

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

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.

Analytical solution, Gyroid cellular structure, Triply periodic minimal surface, Young's modulus
1751-6161
73-85
Yang, Lei
3374a6c7-e285-4014-a301-ad6cea7251af
Yan, Chunze
429c7099-992f-46df-b714-b50ae2980d98
Fan, Haiyang
eeffcbfc-bee4-4d33-be8f-1c287bf44541
Li, Zhaoqing
bc6a4145-c6c8-42fe-a3e9-9bfee5de54ed
Cai, Chao
a33ac205-6d75-4c00-9dc8-83c4e48c0915
Chen, Peng
7f828b90-4c97-4e26-9124-f46daa176a4b
Shi, Yusheng
c5e10cdc-0c6e-4de9-877d-9b83955e0955
Yang, Shoufeng
e0018adf-8123-4a54-b8dd-306c10ca48f1
Yang, Lei
3374a6c7-e285-4014-a301-ad6cea7251af
Yan, Chunze
429c7099-992f-46df-b714-b50ae2980d98
Fan, Haiyang
eeffcbfc-bee4-4d33-be8f-1c287bf44541
Li, Zhaoqing
bc6a4145-c6c8-42fe-a3e9-9bfee5de54ed
Cai, Chao
a33ac205-6d75-4c00-9dc8-83c4e48c0915
Chen, Peng
7f828b90-4c97-4e26-9124-f46daa176a4b
Shi, Yusheng
c5e10cdc-0c6e-4de9-877d-9b83955e0955
Yang, Shoufeng
e0018adf-8123-4a54-b8dd-306c10ca48f1

Yang, Lei, Yan, Chunze, Fan, Haiyang, Li, Zhaoqing, Cai, Chao, Chen, Peng, Shi, Yusheng and Yang, Shoufeng (2019) Investigation on the orientation dependence of elastic response in Gyroid cellular structures. Journal of the Mechanical Behavior of Biomedical Materials, 90, 73-85. (doi:10.1016/j.jmbbm.2018.09.042).

Record type: Article

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.

Text
Manuscript_revision-orientation dependence of Gyorid-0820 - Accepted Manuscript
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More information

Accepted/In Press date: 26 September 2018
e-pub ahead of print date: 27 September 2018
Published date: 1 February 2019
Keywords: Analytical solution, Gyroid cellular structure, Triply periodic minimal surface, Young's modulus

Identifiers

Local EPrints ID: 426381
URI: http://eprints.soton.ac.uk/id/eprint/426381
ISSN: 1751-6161
PURE UUID: 7866908b-a716-4179-928a-eb961253d382
ORCID for Shoufeng Yang: ORCID iD orcid.org/0000-0002-3888-3211

Catalogue record

Date deposited: 26 Nov 2018 17:30
Last modified: 26 Nov 2021 06:00

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Contributors

Author: Lei Yang
Author: Chunze Yan
Author: Haiyang Fan
Author: Zhaoqing Li
Author: Chao Cai
Author: Peng Chen
Author: Yusheng Shi
Author: Shoufeng Yang ORCID iD

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