Journal
JOURNAL OF BIOMECHANICS
Volume 76, Issue -, Pages 103-111Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.jbiomech.2018.05.042
Keywords
Cortical bone; Three-point bending; Beam theory; Specimen-specific; Finite element; Optimization
Categories
Funding
- National Natural Science Foundation of China [51205118, 11402296]
- Central University Basic Scientific Research Business Expenses Special Funds [531107040162]
- State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University [51475002]
- Canada Research Chairs program
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Although the beam theory is widely used for calculating material parameters in three-point bending test, it cannot accurately describe the biomechanical properties of specimens after the yield. Hence, we propose a finite element (FE) based optimization method to obtain accurate bone material parameters from three-point bending test. We tested 80 machined bovine cortical bone specimens at both longitudinal and transverse directions using three-point bending. We then adopted the beam theory and the FE-based optimization method combined with specimen-specific FE models to derive the material parameters of cortical bone. We compared data obtained using these two methods and further evaluated two groups of parameters with three-point bending simulations. Our data indicated that the FE models with material properties from the FE-based optimization method showed best agreements with experimental data for the entire force-displacement responses, including the post-yield region. Using the beam theory, the yield stresses derived from 0.0058% strain offset for the longitudinal specimen and 0.0052% strain offset for the transverse specimen are closer to those derived from the FE-based optimization method, compared to yield stresses calculated without strain offset. In brief, we conclude that the optimization FE method is more appropriate than the traditional beam theory in identifying the material parameters of cortical bone for improving prediction accuracy in three-point bending mode. Given that the beam theory remains as a popular method because of its efficiency, we further provided correction functions to adjust parameters calculated from the beam theory for accurate FE simulation. (C) 2018 Elsevier Ltd. All rights reserved.
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