Fan Ruoxun, Yang Xiufang, Liu Jie, Jia Zhengbin
School of Traffic Engineering, Yangzhou Polytechnic Institute, Yangzhou, 225127, PR China.
School of Traffic Engineering, Yangzhou Polytechnic Institute, Yangzhou, 225127, PR China.
Comput Methods Programs Biomed. 2023 Dec;242:107873. doi: 10.1016/j.cmpb.2023.107873. Epub 2023 Oct 17.
Critical energy release rate is a global fracture parameter that could be measured during the failing process, and its value may change under different failure conditions even in the same bone structure. The aim of this study was to propose an approach that combined the experimental test and finite element analysis to predict the critical energy release rates in the femoral cortical bone structures under compression and three-point bending loads.
Three-point bending and compression experiments and the corresponding fracture simulations were performed on the rat femoral cortical bone structures. Different values of energy release rate were repeatedly assigned to the finite element models to perform fracture simulations, and then the load-displacement curves predicted in each simulation were compared with the experimental data to back-calculate the critical energy release rate.
The predicted data were similar to the experimental results when the calibrated energy release rate was suitable. The results showed that the cortical bone structure occurred shear open failure under compression load, and the predicted critical energy release rate was 0.12 N/mm. The same cortical bone structure occurred tensile open failure under three-point bending load, and the predicted critical energy release rate was 0.16 N/mm.
The critical energy release rates were different under various failure conditions in one cortical bone structure. A comprehensive analysis from the perspectives of material mechanical properties, failure mode, and damage fracture mechanism was conducted to reveal the reasons for the differences in the critical energy release rate in the cortical bone structure, which provided a theoretical basis for the measurement of the critical energy release rate and the accurate fracture simulation.
临界能量释放率是一个全局断裂参数,可在失效过程中测量,即使在相同的骨结构中,其值在不同的失效条件下也可能发生变化。本研究的目的是提出一种结合实验测试和有限元分析的方法,以预测股骨皮质骨结构在压缩和三点弯曲载荷下的临界能量释放率。
对大鼠股骨皮质骨结构进行三点弯曲和压缩实验以及相应的骨折模拟。将不同的能量释放率值反复赋给有限元模型以进行骨折模拟,然后将每次模拟中预测的载荷-位移曲线与实验数据进行比较,以反算临界能量释放率。
当校准后的能量释放率适当时,预测数据与实验结果相似。结果表明,皮质骨结构在压缩载荷下发生剪切张开失效,预测的临界能量释放率为0.12 N/mm。相同的皮质骨结构在三点弯曲载荷下发生拉伸张开失效,预测的临界能量释放率为0.16 N/mm。
在一种皮质骨结构中,不同失效条件下的临界能量释放率不同。从材料力学性能、失效模式和损伤断裂机制等角度进行了综合分析,揭示了皮质骨结构中临界能量释放率差异的原因,为临界能量释放率的测量和准确的骨折模拟提供了理论依据。