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Ma Z, Qiang Z, Zeng K, Xiao J, Zhou L, Zu L, Zhao H, Ren L. Prediction of cross section fracture path of cortical bone through nanoindentation array. J Mech Behav Biomed Mater 2021; 116:104303. [PMID: 33497960 DOI: 10.1016/j.jmbbm.2020.104303] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/21/2020] [Revised: 08/17/2020] [Accepted: 12/29/2020] [Indexed: 11/26/2022]
Abstract
Although great progresses in the fracture mechanisms and deformation behaviors of cortical bones have been achieved, the effective methods to predict the surface fracture path of cortical bones are still difficult. By using depth-sensing nanoindentation measurement technique, the hardness distribution map of cortical bones was obtained through nanoindentation array. Combined with the compressive tests under approximate in vivo environment and micro computed tomography (CT) analysis, the correlation between hardness distribution map and compressive fracture path on the cross section of cortical bone was established. Through extracting the high hardness regions from the hardness distribution map and connecting the high hardness regions combined with the minimum directional derivative principle, the fracture path on cross section under compressive stress was accurately predicted. The feasibility of the prediction method was verified through the comparison between the fitted and actual fracture paths of specimens with sampling orientations of 90° and 45°. The relation between the regions where the fracture propagation path passed through and distribution of Haversian canals were also analyzed.
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Affiliation(s)
- Zhichao Ma
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China; Key Laboratory of Bionic Engineering Ministry of Education, Jilin University, Changchun, 130025, China
| | - Zhenfeng Qiang
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China; Key Laboratory of CNC Equipment Reliability Ministry of Education, Jilin University, Changchun, 130025, China
| | - Kaiyang Zeng
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore
| | - Jianlin Xiao
- Department of Orthopedics, China-Japan Union Hospital of Jilin University, Changchun, 130033, China
| | - Liming Zhou
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China; Key Laboratory of CNC Equipment Reliability Ministry of Education, Jilin University, Changchun, 130025, China.
| | - Lihui Zu
- Department of Radiology, China-Japan Union Hospital of Jilin University, Changchun, 130033, China
| | - Hongwei Zhao
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China
| | - Luquan Ren
- Key Laboratory of Bionic Engineering Ministry of Education, Jilin University, Changchun, 130025, China
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Li L, Zhang S, Li Q, Bian C, Zhang A. Microstructure-based numerical computational method for the insertion torque of dental implant. J Mech Behav Biomed Mater 2019; 98:137-147. [PMID: 31229906 DOI: 10.1016/j.jmbbm.2019.06.012] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2019] [Revised: 06/12/2019] [Accepted: 06/13/2019] [Indexed: 11/25/2022]
Abstract
The bone quality has a significant effect on the insertion torque of dental implant. In most clinical studies, bone density is used as a gold standard in predicting insertion torque. By contrast, trabecular microstructure is ignored. In this study, a microstructure-based numerical computational method with high accuracy and efficiency for the insertion torque of dental implant was proposed by introducing two microscopic variables, namely, volume fraction and fabric tensor. First, two kinds of 3D microstructural solid models with same volume fraction and fabric tensor were established on the basis of the microstructural topology of six reference specimens. Second, a new numerical simulation method based on homogenous theory was used to explore the material models of these 3D microstructural solid models at the microscopic scale. Then, the anisotropic material models of specimens were developed on the basis of the mixture rule. Thereafter, a numerical simulation based on the anisotropic finite element (FE) model was carried out to acquire the insertion torque. To demonstrate the efficiency and accuracy of the simulation based on the anisotropic FE model, numerical simulations based on isotropic FE model and micro-computer tomography (micro-CT) FE models were also implemented as comparisons. Comparison of the simulated peak insertion torques of the anisotropic, isotropic, and micro-CT FE models with insertion experiments demonstrated the feasibility and potential of the proposed method. The anisotropic FE model reduced the time consumption by 91.85% and enhanced the accuracy by 11.82% compared with the micro-CT and isotropic FE models, respectively.
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Affiliation(s)
- Luli Li
- School of Mechanical Engineering, Shandong University, Jinan, 250061, PR China; Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, PR China
| | - Song Zhang
- School of Mechanical Engineering, Shandong University, Jinan, 250061, PR China; Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, PR China.
| | - Quhao Li
- School of Mechanical Engineering, Shandong University, Jinan, 250061, PR China; Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, PR China
| | - Cuirong Bian
- Department of Prosthodontics, Qilu Hospital of Shandong University, Jinan, 250012, PR China
| | - Airong Zhang
- School of Mechanical Engineering, Shandong University, Jinan, 250061, PR China; Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, PR China
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