[1] [1] Zeng Pan. Basic analysis of finite element analysis［M］. Beijing: Tsinghua University Press, 2008.

[2] [2] Roberts S B, Chen P H, Wu C, et al. Elastostatic analysis of the human thoracic skeleton［J］. Journal of Biomechanics, 2010,13 (6): 527-545.

[3] [3] Yang K H , King A L. Mechanism of facet load transmission as a hypothesis for low-back pain［J］. Spine, 2012, 9(6): 557-565.

[4] [4] Rohlmann A, Bauer L T, Bergmann G, et al. Determination of trunk muscle forces for flexion and extension by using a validate finite element model of the lunbar spine and measure in vivo data［J］. Journal of Biomechanics, 2014, 39(6): 981-989.

[5] [5] Wang Yu, Peng Xiongqi. Lumbar intervertebral fusion fusion finite element analysis［J］. Journal of Mechanics, 2013, 43 (2): 381-388.

[6] [6] Yu Qi, Zhang Wenjie, Hu Jun. Study on microfabrication and biocompatibility of picosecond laser on medical titanium alloy implant［J］. Chinese J Lasers, 2017,44 (1): 0102014.

[7] [7] Wang Fang, Yang Jikuang, Li Guibing. Finite element analysis of human rib fractures under various impact loads［J］. Journal of Mechanics, 2014, 46(2): 300-306.

[8] [8] Lü Shasha, Wang Chun, Shen Hui, et al. Finite element analysis of acceleration sensitivity of optical resonator with soft material support［J］. Chinese J Lasers, 2015, 42(1): 0102001.

[9] [9] Fu Cheng, Peng Xiongqi, Zhang Kai, et al. Three-dimensional finite element analysis of lumbar interbody fusion with intervertebral foramen［J］. Journal of Shanghai Jiaotong University, 2015, 49(12): 300-306.

[10] [10] Lorensen W E, Harvey E C. Marching cubes: a high resolution 3D surface construction algorithm［J］. ACM Siggraph Computer Graphics, 1987, 21(4): 163-169.

[11] [11] Wang Zhengyu. The application and development of finite element method in spine biomechanics［J］. Journal of Shanghai Jiaotong University, 2007, 27(9): 1156-1159.

[12] [12] Guo Lixin, Chen Wei, Liu Xuoyong. Dynamic characteristics analysis of human injury spine based on finite element model［J］. Northeastern University Reported, 2005, 26(9): 836-839.

[13] [13] Zhang Meichao. Finite element method in the application of orthopedic biomechanics［D］. Guangzhou: First Military Medical University, 2002

[14] [14] Song Xiao, Cheng Ming, Wang Boliang, et al. Automatic liver segmentation method based on confidence link［J］. Journal of Computer Aided Design & Graphics, 2012, 24(9): 1188-1192.

[15] [15] Zeng Xiaoli, Peng Liang, Bai Jing. Three-dimensional finite element modeling and analysis of L4-L5 lumbar segment of human body based on CT data［J］. Beijing Biomedical Engineering. 2007, 26(3): 266-269.

[16] [16] Xu Qingqing. Spine L3-L4 segment of the integrated three-dimensional optical model construction and biomechanical analysis［D］. Xi′an: Xidian University, 2014.

[17] [17] Renner S M, Natarajan R N, Patwardhan A G, et al. Novel model to analyze the effect of a large compressive follower preload on range of motions in a lumbar spine［J］. Journal of Biomechanics, 2007, 22(9): 988-998．

[18] [18] Qin Chunyu. Three-dimensional model construction and finite element mechanics analysis of human lumbar spine［D］. Xi′an: Xidian University, 2014.