用户名: 密码: 验证码:
儿童颈部在汽车碰撞中的损伤研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
汽车碰撞是造成儿童颈部损伤的重要因素,大约60%-80%的儿童脊椎损伤发生在颈部,而且儿童颈部损伤与成人相比有更高的死亡率。这归因于儿童特殊的生理结构,比如松弛的韧带、平的关节面、未成熟的椎骨及相对较重的头部等,这些导致儿童颈部损伤与成人有很大的不同。但是由于道德及法律等原因,目前对儿童的损伤研究严重不足。为了提高儿童在汽车事故中的安全性,迫切需要对儿童颈部损伤进行研究。
     本文使用有限元方法分析10岁儿童颈部在碰撞中的损伤,提出获得儿童数据的方法和建立有限元颈部模型的方法,并通过模拟提出儿童颈部损伤特点及机理。本文方法可帮助研究者建立更加精确的儿童有限元模型,研究儿童颈部在汽车碰撞中的损伤特点和机理,从而帮助设计和评估防护措施,提高儿童在汽车碰撞中的安全性。本文的主要内容和创新点包括:
     (1)提出获得儿童颈椎材料数据的方法。由于缺少儿童实验样本,很难通过实验获得儿童材料数据,而现有儿童颈椎模型缺少获得材料数据的方法,限制了对儿童颈部损伤的研究。本文提出将缩放方法和Pareto及主效应分析相结合的方法,该方法通过数据缩放初步得到儿童的材料数据,之后使用Pareto及主效应分析确定材料参数值。该方法既考虑了儿童与成人几何的差异,又考虑了儿童材料特性较弱的特点。通过与儿童实验数据对比证明了该方法的可靠性,为研究者开发儿童颈椎模型扫除了障碍。
     (2)提出建立10岁儿童颈椎有限元模型的方法,提高儿童颈椎模型预测损伤的精度。目前儿童颈椎模型多缩放自成人模型,材料模型使用线性材料,建模方法上也存在局限性。本文通过测量24个儿童颈椎尺寸,得到10岁儿童椎骨平均尺寸,通过数据对比证明选定几何数据的正确性。根据几何建立包括儿童特有结构的颈椎有限元模型,实现儿童颈椎模型和解剖结构的一致性。为了提高模拟材料力学特性的准确性,各部件使用非线性材料本构模型,使用本文得到的儿童数据获得各本构模型的参数值,并实现对软组织撕裂的模拟。使用三段颈椎(C0-C2, C4-C5, C6-C7)及整体(CO-T1)的儿童实验数据验证了模型,证明了该建模方法的可靠性。本文预测的软组织失效位置及顺序,可为儿童颈椎实验提供数据支持。
     (3)提出建立一种新的颈部肌肉有限元模型的方法,提高肌肉模型精度;提出基于径向基函数的代理模型方法对主动收缩肌肉激励曲线进行优化,解决肌肉激励信号寻优问题;提出使用敏感性分析方法研究主动收缩肌肉对头部响应的影响。现有肌肉模型在几何上进行了简化,并且目前的研究仍无法确定各主动收缩肌肉激励曲线的形式,目前也缺少各肌肉在碰撞中对响应影响的了解。本文建立了三种肌肉模型来分析几何对响应的影响,通过与儿童低速正面碰撞实验数据对比,显示几何显著地影响头部响应,本文提出的新的肌肉模型能更好的预测头颈部的响应。使用基于径向基函数的响应面法,对新肌肉模型的肌肉激励曲线进行优化,该方法提高了计算效率,得到了优化的肌肉激励曲线。本文提出评价各肌肉对头颈部响应影响的评价方法,通过计算发现了在正面碰撞中对头颈部响应影响最大的肌肉。
     (4)针对儿童未发育完全的结构和材料特点,使用椎骨有限元模型进行几何和材料的敏感性分析,获得影响响应的关键因素和儿童颈椎响应及损伤的特点。目前缺少从几何和材料角度研究儿童颈椎响应及损伤的特点。本文使用开发的C4-C6椎段模型进行分析,考虑了所有材料的变化及小关节面和尺寸的几何变化,使用方差分析方法计算各参数对响应的影响程度。根据分析结果提出了儿童颈椎在弯矩和力载荷下响应及损伤的特点,此研究为建立更精确的儿童颈部模型提供了重要的数据支持,并可对儿童颈部损伤诊治提供帮助。
     (5)针对儿童颈部在碰撞中的损伤问题,使用10岁儿童颈部有限元模型分析儿童颈部在碰撞中的响应,获得儿童颈部的损伤机理,弥补目前对儿童颈部损伤的研究不足。由于儿童尸体样本和模型的缺少,目前仍对儿童颈部在碰撞中的损伤机理缺乏了解,特别是在后面碰撞中。本文使用开发的10岁儿童颈部有限元模型模拟了在正面碰撞和后面碰撞中的儿童头颈部的响应,通过与实验数据的对比证明了模型计算结果的可靠性,通过分析各韧带应变及骨应力分布,获得了儿童颈部损伤的机理。使用腿骨模型模拟轴向冲击下骨折的骨折力和骨折模式,通过与实验数据的对比证明了骨材料模型和参数的可靠性,将此数据应用于儿童椎骨骨折研究中,获得了压缩骨折力与材料参数的关系。
Motor vehicle crashes (MVCs) are the main factors that cause the child neck injuries. About60%to80%of all pediatric spinal injuries are in the cervical region. Compared to adults, the mortality rate among victims of pediatric spinal trauma is higher. Children have different anatomical and physiological features compared to adults, such as the laxity of ligaments, decreased angle of facet joints, immature vertebral bodies, insufficiently developed neck musculatures, and relatively large head mass. These make the pediatric neck injuries different from that of adult in MVCs. Due to the ethics and laws, very few studies focused on pediatric injury in MVCs. In order to improve the safety of children in MVCs, more studies on the child neck injuries need to be conducted urgently.
     This study analyzed the10-year-old (10YO) child neck injuries in MVCs using the finite element (FE) method. The methods of obtaining the child material data and modeling the child neck model were provided. The injury characteristics and mechanisms for child neck were studied by simulations. These methods could help researchers to create more accurate child FE model to study the injury characteristics and mechanisms for child neck in MVCs. Using the FE model, the protective measures could be designed and evaluated to improve the safety of children in MVCs. The detailed contents and innovative points for this study are as follow:
     (1) A method obtaining the material data for children was provided. Due to lack of pediatric specimens, it was difficult to obtain the child material data through experiments. The existing child cervical spine models didn't yet provide the method to obtain the child material data. Those limited the studies on child neck injuries. This study provided the method to derive the child material data by combining the scaling method, the Pareto method, and main chart plot through two steps. Step1:get the child data by scaling method based on the adult data; Step2:determine the main material factors using the analysis method of Pareto and main chart plot. Such a two-step method considered not only the geometry difference between child and adult, but also the characteristics of the child neck material. The validity of this method was verified by comparing the simulation results with the experiment data. This method could help researchers to create more accurate child cervical spine models.
     (2) A method of modeling a10YO child ligamentous cervical spine FE model was presented to improve the accuracy for predicting child cervical spine injuries. The existing child cervical spine models were mostly created by scaling down the adult models and using the elastic material properties. In this study, the average dimensions of cervical vertebral body for10YO children were obtained from24pediatric subjects. A child CT dataset to get the neck geometry was selected by comparing the vertebral body sizes of the selected dataset with the average values. Based on the geometries, the cervical spine FE model was created, including the unique structures for child. To improve the accuracy of predicting the material properties, nonlinear material constitutive models were used. The parameters for the material models were determined using the child data obtained from this study. The failure of soft tissue was also considered in the model by defining the failure parameters. The model was validated at three segments (C0-C2, C4-C5, and C6-C7) as well as the whole cervical spine (C0-T1) against the experimental data. The consistency between the simulation results and experimental data proved the reliability of this modeling method. The model-predicted failure positions and failure progressions of soft tissues provided the data that corroborated child cervical spine tests.
     (3) An original modeling method for neck muscle was presented to improve the accuracy of neck model. The method of optimizing the muscle activation curves using response surface method (RSM) that's based on radial basis functions (RBFs) was provided to solve the optimization problem for muscle activation signals. The application of the sensitivity analysis method to study the effects of activation muscles on head responses was presented. The existing muscle models were simplified in geometry, and did not consider the effects of muscle geometries. The existing studies did not determine the types of muscle activation curves, and the effects of activation muscles on neck responses could not obtained by tests. In this study, three neck muscle models were simulated to study the effects of muscle geometry. The comparison results between simulations and experiment data showed that the geometry remarkably affected the head responses. The new muscle model could predict the head and neck responses better. The RSM that's based on RBF was used to obtain optimized muscle activation curves for the new muscle model. This method improved the computational efficiency to find the optimized solutions. A method to evaluate the effects of active muscles on the head and neck responses was used. The main effect activation muscles were determined by calculating the evaluation values.
     (4) For children who have not fully developed the structure and material, a material and geometry sensitivity study was conducted using the cervical spine segment model to obtain the main factors affecting the responses and the characteristics of injuries for child cervical spine. Children have different geometry and material properties compared to adults. However, very few researches conducted the injury characteristic study from the perspective of geometry and material. As such, a C4-C6vertebral segment model obtained from the10YO cervical spine model was used to conduct the analysis. The factors included all the materials, the shape of facet joint, and the size of vertebral body. The analysis of variance was used to calculate the contribution of each factor on the responses. Based on the analysis results, the characteristics of responses and injuries for child cervical spine were obtained. The study results could help researchers to create more accurate child cervical spine models, and also provided the needed data for improving child injury analysis or treatment.
     (5) The analyses of child neck responses in impacts using the10YO child neck FE model were conducted to obtain the injury mechanisms of child neck. These analyses could make up for the inadequacies of the current studies. Due to lack of child cadaver samples and models, there is still a lack of understanding of the child neck injury mechanisms in MVCs, especially in the rear impacts. Using the developed10YO child neck FE model, the head and neck responses in frontal and rear impact were predicted. The consistence between the simulation results and experimental data proved the reliability of the simulation results. The child neck injury mechanisms were obtained by analyzing the ligament strains and bone stress distributions. The leg model was used to simulate the bony fracture force and fracture mode under axial impacts. The reliability of the material constitutive model and material parameters for the bones was verified by comparing the simulation results with the experimental data. Referring to these material data, the child data for vertebra were obtained to study the child vertebra fracture in compression. The relationship between the bony fracture force and material parameters was obtained.
引文
[1]公安部交通管理局.中华人民共和国道路交通事故统计年报.北京,2009.
    [2]Wikipedia. List of countries by traffic-related death rate. http://en.wikipedia. org/wiki/List_of_countries_by_traffic-related_death_rate.2013.6.
    [3]Wikipedia. Child safety seat. http://en.wikipedia.org/wiki/Child_seat#cite_note-7.2013.6.
    [4]Sethi D, Towner E, Vincenten J, et al. European report on child injury prevention. World Health Organization,9289042958,2008.
    [5]Cirak B, Ziegfeld S, Knight V M, et al. Spinal injuries in children. Journal of Pediatric Surgery.2004,39(4):607-612.
    [6]Fife D and Kraus J. Anatomic location of spinal cord injury:relationship to the cause of injury. Spine,1986,11(1):2-5.
    [7]Noonan V K, Fingas M, Farry A, et al. Incidence and prevalence of spinal cord injury in Canada:a national perspective. Neuroepidemiology,2012,38(4): 219-26.
    [8j Bilston L E and Brown J. Pediatric spinal injury type and severity are age and mechanism dependent. Spine,2007,32(21):2339-47.
    [9]McCall T, Fassett D, and Brockmeyer D. Cervical spine trauma in children:a review. Neurosurg Focus,2006,20(2):E5.
    [10]Patel J C, Tepas J J,3rd, Mollitt D L, et al. Pediatric cervical spine injuries: defining the disease. Journal of Pediatric Surgery,2001,36(2):373-6.
    [11]Eleraky M A, Theodore N, Adams M, et al. Pediatric cervical spine injuries: report of 102 cases and review of the literature. Journal of Neurosurgery,2000, 92(1 Suppl):12-7.
    [12]Robertson A, Branfoot T, Barlow I F, et al. Spinal injury patterns resulting from car and motorcycle accidents. Spine,2002,27(24):2825-30.
    [13]Yoganandan N, Haffner M, Maiman D J, et al. Epidemiology and injury biomechanics of motor vehicle related trauma to the human spine, in:STAPP Car Crash Conference. Washington, DC, USA,1989.
    [14]McGrory B J, Klassen R A, Chao E Y, et al. Acute fractures and dislocations of the cervical spine in children and adolescents. J Bone Joint Surg Am,1993, 75(7):988-95.
    [15]Martin B. Paediatric cervical spine injuries. Injury-International Journal of the Care of the Injured,2005,36(1):14-20.
    [16]Martin B W, Dykes E, and Lecky F E. Patterns and risks in spinal trauma. Arch Dis Child,2004,89(9):860-5.
    [17]Leventhal H R. Birth injuries of the spinal cord. J Pediatr,1960,56:447-53.
    [18]Cody D D, Goldstein S A, Flynn M J, et al. Correlations between vertebral regional bone mineral density (rBMD) and whole bone fracture load. Spine, 1991,16(2):146-154.
    [19]Mosekilde L and Danielsen C C. Biomechanical competence of vertebral trabecular bone in relation to ash density and age in normal individuals. Bone, 1987,8(2):79-85.
    [20]Carter D R and Hayes W C. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg Am,1977,59(7):954-962.
    [21]Kopperdahl D L, Pearlman J L, and Keaveny T M. Biomechanical consequences of an isolated overload on the human vertebral body. Journal of Orthopaedic Research,2000,18(5):685-690.
    [22]Yeh O C and Keaveny T M. Relative roles of microdamage and microfracture in the mechanical behavior of trabecular bone. J Orthop Res,2001,19(6):1001-7.
    [23]Currey J D. Tensile yield in compact bone is determined by strain, post-yield behaviour by mineral content. Journal of Biomechanics,2004,37(4):549-556.
    [24]Kopperdahl D L and Keaveny T M. Yield strain behavior of trabecular bone. Journal of Biomechanics,1998,31(7):601-8.
    [25]Morgan E F and Keaveny T M. Dependence of yield strain of human trabecular bone on anatomic site. Journal of Biomechanics,2001,34(5):569-77'.
    [26]Reilly D T, Burstein A H, and Frankel V H. The elastic modulus for bone. Journal of Biomechanics,1974,7(3):271-5.
    [27]Chazal J, Tanguy A, Bourges M, et al. Biomechanical properties of spinal ligaments and a histological study of the supraspinal ligament in traction. Journal of Biomechanics,1985,18(3):167-76.
    [28]Yoganandan N, Kumaresan S, and Pintar F A. Biomechanics of the cervical spine Part 2. Cervical spine soft tissue responses and biomechanical modeling. Clinical Biomechanics,2001,16(1):1-27.
    [29]Myklebust J B, Pintar F, Yoganandan N, et al. Tensile strength of spinal ligaments. Spine,1988,13(5):526-531.
    [30]Yoganandan N, Kumaresan S, and Pintar F A. Geometric and mechanical properties of human cervical spine ligaments. J Biomech Eng,2000,122(6): 623-9.
    [31]Yoganandan N, Pintar F, Butler J, et al. Dynamic response of human cervical spine ligaments. Spine,1989,14(10):1102-1110.
    [32]Troyer K L and Puttlitz C M. Human cervical spine ligaments exhibit fully nonlinear viscoelastic behavior. Acta Biomater,2011,7(2):700-9.
    [33]Mattucci S F, Moulton J A, Chandrashekar N, et al. Strain rate dependent properties of younger human cervical spine ligaments. J Mech Behav Biomed Mater,2012,10:216-26.
    [34]Skaggs D L, Weidenbaum M, Iatridis J C, et al. Regional variation in tensile properties and biochemical composition of the human lumbar anulus fibrosus. Spine,1994,19(12):1310-1319.
    [35]Elliott D M and Setton L A. Anisotropic and inhomogeneous tensile behavior of the human anulus fibrosus:Experimental measurement and material model predictions. Journal of Biomechanical Engineering,2001,123(3):256-263.
    [36]Holzapfel G A, Schulze-Bauer C A J, Feigl G, et al. Single lamellar mechanics of the human lumbar anulus fibrosus. Biomechanics and Modeling in Mechanobiology,2005,3(3):125-140.
    [37]Pezowicz C A, Robertson P A, and Broom N D. Intralamellar relationships within the collagenous architecture of the annulus fibrosus imaged in its fully hydrated state. Journal of Anatomy,2005,207(4):299-312.
    [38]Wagner D R and Lotz J C. Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus. Journal of Orthopaedic Research,2004,22(4):901-909.
    [39]Ebara S, Iatridis J C, Setton L A, et al. Tensile properties of nondegenerate human lumbar anulus fibrosus. Spine,1996,21(4):452-461.
    [40]Bass E C, Ashford F A, Segal M R, et al. Biaxial testing of human annulus fibrosus and its implications for a constitutive formulation. Annals of Biomedical Engineering,2004,32(9):1231-42.
    [41]Kasra M, Parnianpour M, Shirazi-Adl A, et al. Effect of strain rate on tensile properties of sheep disc anulus fibrosus. Technology and health care,2004, 12(4):333-42.
    [42]Fujita Y, Duncan N A, and Lotz J C. Radial tensile properties of the lumbar annulus fibrosus are site and degeneration dependent. Journal of Orthopaedic Research,1997,15(6):814-819.
    [43]Iatridis J C, Setton L A, Foster R J, et al. Degeneration affects the anisotropic and nonlinear behaviors of human anulus fibrosus in compression. Journal of Biomechanics,1998,31(6):535-44.
    [44]Iatridis J C, Weidenbaum M, Setton L A, et al. Is the nucleus pulposus a solid or a fluid? Mechanical behaviors of the nucleus pulposus of the human intervertebral disc. Spine,1996,21(10):1174-1184.
    [45]Yang K H and Kish V L. Compressibility measurement of human intervertebral nucleus pulposus. Journal of Biomechanics,1988,21(10):865.
    [46]Yoganandan N, Pintar F A, Maiman D J, et al. Human head-neck biomechanics under axial tension. Medical Engineering & Physics,1996,18(4):289-94.
    [47]Luck J F, Nightingale R W, Loyd A M, et al. Tensile mechanical properties of the perinatal and pediatric PMHS osteoligamentous cervical spine. Stapp Car Crash J,2008,52:107-34.
    [48]Luck J F, Nightingale R W, Song Y, et al. Tensile failure properties of the perinatal, neonatal, and pediatric cadaveric cervical spine. Spine,2013,38(1): E1-E12.
    [49]Luan F, Yang K H, Deng B, et al. Qualitative analysis of neck kinematics during low-speed rear-end impact. Clin Biomech (Bristol, Avon),2000,15(9):649-57.
    [50]Yoganandan N, Pintar F A, Stemper B D, et al. Biomechanics of human occupants in simulated rear crashes:documentation of neck injuries and comparison of injury criteria. Stapp Car Crash J,2000,44:189-204.
    [51]Yoganandan N, Pintar F A, and Cusick J F. Biomechanical analyses of whiplash injuries using an experimental model. Accid Anal Prev,2002,34(5):663-71.
    [52]Stemper B D, Yoganandan N, and Pintar F A. Gender dependent cervical spine segmental kinematics during whiplash. J Biomech,2003,36(9):1281-9.
    [53]Stemper B D, Yoganandan N, and Pintar F A. Gender- and region-dependent local facet joint kinematics in rear impact:implications in whiplash injury. Spine,2004,29(16):1764-71.
    [54]Ivancic P C, Ito S, and Panjabi M M. Dynamic sagittal flexibility coefficients of the human cervical spine. Accid Anal Prev,2007,39(4):688-95.
    [55]Ono K, Kaneoka K, Wittek A, et al. Cervical injury mechanism based on the analysis of human cervical vertebral motion and head-neck-torso kinematics during low speed rear impacts, in:41th Stapp Car Crash Conference. Orlando, Florida, USA,1997.
    [56]Kaneoka K, Ono K, Inami S, et al. Motion analysis of cervical vertebrae during whiplash loading. Spine,1999,24(8):763-9; discussion 770.
    [57]Davidsson J, DEUTSCHER C, Hell W, et al. Human volunteer kinematics in rear-end sled collisions. Crash Prevention and Injury Control,2001,2(4): 319-333.
    [58]Duncan J M. Laboratory Note:On the Tensile Strength of the Fresh Adult Foetus. British medical journal,1874,2(729):763-4.
    [59]Ouyang J, Zhu Q, Zhao W, et al. Biomechanical assessment of the pediatric cervical spine under bending and tensile loading. Spine,2005,30(24):E716-23.
    [60]Luck J F. The Biomechanics of the perinatal, neonatal and pediatric cervical spine:Investigation:[dissertation]. Durham:Duke University,2012.
    [61]Ash J, Sherwood C, Abdelilah Y, et al. Comparison of anthropomorphic test dummies with a pediatric cadaver restrained by a three-point belt in frontal sled tests, in:21st Enhanced Safety of Vehicles (ESV) Conference. Stuttgart, Germany,2009.
    [62]Kallieris D, Barz J, Schmidt G, et al. Comparison between child cadavers and child dummy by using child restraint systems in simulated collisions, in:20th Stapp Car Crash Conference. Dearborn, Michigan, USA,1976, pp.511-542.
    [63]Wismans J, Maltha J, Melvin J, et al. Child restraint evaluation by experimental and mathematical simulation, in:23th Stapp Car Crash Conference,1979, pp. 383-415.
    [64]Arbogast K B, Balasubramanian S, Seacrist T, et al. Comparison of kinematic responses of the head and spine for children and adults in low-speed frontal sled tests. Stapp Car Crash J,2009,53:329-72.
    [65]Seacrist T, Arbogast K B, Maltese M R, et al. Kinetics of the cervical spine in pediatric and adult volunteers during low speed frontal impacts. J Biomech, 2012,45(1):99-106.
    [66]Pintar F A, Mayer R G, Yoganandan N, et al. Child neck strength characteristics using an animal model. Stapp Car Crash Journal,2000,44:77.
    [67]Ching R P, Nuckley D J, Hertsted S M, et al. Tensile mechanics of the developing cervical spine. Stapp Car Crash J,2001,45:329-36.
    [68]Nuckley D J, Hertsted S M, Eck M P, et al. Effect of displacement rate on the tensile mechanics of pediatric cervical functional spinal units. J Biomech,2005, 38(11):2266-75.
    [69]Nuckley D J, Hertsted S M, Ku G S, et al. Compressive tolerance of the maturing cervical spine. Stapp Car Crash J,2002,46:431-40.
    [70]Elias P Z, Nuckley D J, and Ching R P. Effect of loading rate on the compressive mechanics of the immature baboon cervical spine. J Biomech Eng, 2006,128(1):18-23.
    [71]Nuckley D J and Ching R P. Developmental biomechanics of the cervical spine: Tension and compression. Journal of Biomechanics,2006,39(16):3045-54.
    [72]Irwin A L, Mertz H J, Elhagediab A M, et al. Guidelines for assessing the biofidelity of side impact dummies of various sizes and ages. Stapp Car Crash J, 2002,46:297-319.
    [73]Mertz H J, Jarrett K, Moss S, et al. The hybrid III 10-Year-Old dummy. Stapp Car Crash J,2001,45:319-28.
    [74]Solutions H I. Child dummies in the US code of federal regulations with year of introduction. http://www.humaneticsatd.com/crash-test-dummies/children. 2013.6.
    [75]Irwin A and Mertz H. Biomechanical basis for the CRABI and Hybrid III child dummies, in:41st Stapp Car Crash Conference.1997, pp.261-272.
    [76]Mertz H J, Prasad P, and Irwin A L. Injury risk curves for children and adults in frontal and rear collisions. in:SAE.1997, pp.13-30.
    [77]Mertz H J and Prasad P. Improved neck injury risk curves for tension and extension moment measurements of crash dummies. Stapp Car Crash J,2000,44: 59-75.
    [78]Mertz H J, Irwin A L, and Prasad P. Biomechanical and scaling bases for frontal and side impact injury assessment reference values. Stapp Car Crash J,2003,47: 155-88.
    [79]J. M H and A. W D. Interpretations of the impact responses of a 3-year-old child dummy relative to child injury potential. in:Proceedings of the Ninth International Technical Conference on Experimental Safety Vehicles. Kyoto, Japan,1982, pp.368-76.
    [80]Eppinger R, Sun E, Bandak F, et al. Development of improved injury criteria for the assessment of advanced automotive restraint systems-II. National Highway Traffic Safety Administration,1999:1-70.
    [81]Administration N H T S. Federal Motor Vehicle Safety Standards and Regulations No.208. in:Occupant Crash Protection, ed:United States Department of Transportation,2008.
    [82]Mertz H and Patrick L. Investigation of the kinematics and kinetics of whiplash. In:11th Stapp Car Crash Conference.1967, pp.267-317.
    [83]Mertz H and Patrick L. Strength and response of the human neck, in:15th Stapp Car Crash Conference.1971, pp.207-55.
    [84]Yoganandan N, Kumaresan S, Voo L, et al. Finite element applications in human cervical spine modeling. Spine,1996,21(15):1824-34.
    [85]Belytschko T, Kulak R F, Schultz A B, et al. Finite element stress analysis of an intervertebral disc. J Biomech,1974,7(3):277-85.
    [86]Shirazi-Adl S A, Shrivastava S C, and Ahmed A M. Stress analysis of the lumbar disc-body unit in compression. A three-dimensional nonlinear finite element study. Spine,1984,9(2):120-34.
    [87]Shirazi-Adl A, Ahmed A M, and Shrivastava S C. A finite element study of a lumbar motion segment subjected to pure sagittal plane moments. J Biomech, 1986,19(4):331-50.
    [88]Rao A A and Dumas G A. Influence of material properties on the mechanical behaviour of the L5-S1 intervertebral disc in compression:a nonlinear finite element study. J Biomed Eng,1991,13(2):139-51.
    [89]Kumaresan S, Yoganandan N, and Pintar F A. Finite element analysis of the cervical spine:a material property sensitivity study. Clinical biomechanics, 1999,14(1):41-53.
    [90]Ng H W and Teo E C. Probabilistic design analysis of the influence of material property on the human cervical spine. J Spinal Disord Tech,2004,17(2): 123-33.
    [91]Malandrino A, Planell J A, and Lacroix D. Statistical factorial analysis on the poroelastic material properties sensitivity of the lumbar intervertebral disc under compression, flexion and axial rotation. Journal of Biomechanics,2009, 42(16):2780-8.
    [92]Rohlmann A, Boustani H N, Bergmann G, et al. A probabilistic finite element analysis of the stresses in the augmented vertebral body after vertebroplasty. Eur Spine J,2010,19(9):1585-95.
    [93]Yoganandan N, Kumaresan S C, Voo L, et al. Finite element modeling of the C4-C6 cervical spine unit. Med Eng Phys,1996,18(7):569-74.
    [94]Kumaresan S, Yoganandan N, Pintar F A, et al. Finite element modeling of the cervical spine:role of intervertebral disc under axial and eccentric loads. Med Eng Phys,1999,21(10):689-700.
    [95]Eberlein R, Holzapfel G A, and Schulze-Bauer C A. An anisotropic model for annulus tissue and enhanced finite element analyses of intact lumbar disc bodies. Computer Methods in Biomechanics and Biomedical Engineering,2001,4(3): 209-229.
    [96]Panzer M B and Cronin D S. C4-C5 segment finite element model development, validation, and load-sharing investigation. Journal of Biomechanics,2009, 42(4):480-490.
    [97]DeWit J A and Cronin D S. Cervical spine segment finite element model for traumatic injury prediction. J Mech Behav Biomed Mater,2012,10:138-50.
    [98]Kumaresan S, Yoganandan N, Pintar F A, et al. Biomechanical study of pediatric human cervical spine:A finite element approach. Journal of Biomechanical Engineering,2000,122(1):60-71.
    [99]Jebaseelan D D, Jebaraj C, Yoganandan N, et al. Sensitivity studies of pediatric material properties on juvenile lumbar spine responses using finite element analysis. Med Biol Eng Comput,2012,50(5):515-22.
    [100]Williams J L and Belytschko T B. A three-dimensional model of the human cervical spine for impact simulation. J Biomech Eng,1983,105(4):321-31.
    [101]Camacho D L, Nightingale R W, Robinette J J, et al. Experimental flexibility measurements for the development of a computational head-neck model validated for near-vertex head impact. In:41th Stapp Car Crash Conference. Orlando, Florida, USA,1997.
    [102]Chancey V C. Strength of the human neck:understanding the contributions of the ligamentous and muscular spine in tension and bending:[dissertation]. Durham:Duke University,2005.
    [103]Dibb A T. Pediatric head and neck dynamic response:a computational study: [dissertation]. Durham:Duke University,2011.
    [104]Kleinberger M. Application of finite element techniques to the study of cervical spine mechanics. In:37th Stapp Car Crash Conference. San Antonio, Texas, USA,1993.
    [105]Deng Y-C, Li X, and Liu Y. Modeling of the human cervical spine using finite element techniques. In:43th Stapp Car Crash Conference.1999, pp. SAE 1999-01-1310.
    [106]Halldin P H, Brolin K, Kleiven S, et al. Investigation of conditions that affect neck compression-flexion injuries using numerical techniques. Stapp Car Crash Journal,2000,44:127-138.
    [107]Brolin K and Halldin P. Development of a finite element model of the upper cervical spine and a parameter study of ligament characteristics. Spine,2004, 29(4):376-385.
    [108]Brolin K, Halldin P, and Leijonhufvud I. The effect of muscle activation on neck response. Traffic Inj Prev,2005,6(1):67-76.
    [109]Zhang J G, Wang F, Zhou R, et al. A three-dimensional finite element model of the cervical spine:an investigation of whiplash injury. Med Biol Eng Comput, 2011,49(2):193-201.
    [110]Panzer M B, Fice J B, and Cronin D S. Cervical spine response in frontal crash. Medical Engineering & Physics,2011,33(9):1147-1159.
    [111]Fice J B, Cronin D S, and Panzer M B. Cervical spine model to predict capsular ligament response in rear impact. Annals of Biomedical Engineering,2011, 39(8):2152-2162.
    [112]Mizuno K, Deguchi T, Furukawa K, et al. Development of three-year-old child human FE model. In:IRCOBI conference. Graz, Austria,2004.
    [113]Meyer F, Bourdet N, Roth S, et al. Three years old child neck FE modelling under automotive accident conditions. In:IRCOBI conference. Maastricht, Netherlands,2007, pp.277-289.
    [114]Meyer F, Deck C, Willinger R, et al. Development of a 3-year-old child head-neck finite element model and derivation of novel head injury criterion. International Journal of Crashworthiness,2013,19(3):233-243.
    [115]Bondy M, Altenhof W, Chen X, et al. Development of a finite element/multi-body model of a newborn infant for restraint analysis and design. Comput Methods Biomech Biomed Engin,2014,17(2):149-62.
    [116]杨济匡和姚剑峰.人体颈部动力学响应分析有限元模型的建立和验证.湖南大学学报(自然科学版),2003,30(4):40-46.
    [117]何黎民,吴建国,卢亦成等.构建国人头颈三维有限元模型.中华创伤杂志,2005,21(3):196-199.
    [118]周蕊,张建国,薛强,等.基于DICOM数据建立人体颈部有限元模型.中国自然医学杂,2007,9(4):281-283.
    [119]任中武,倪斌,张美超,等.上颈椎三维非线性有限元模型的建立及其有效性验证.脊柱外科杂志,2007,5(3):159-162.
    [120]卢畅,韩珂,李晶,等.全颈椎三维有限元模型建立及验证方法探讨.医学临床研究,2008,25(3):389-392.
    [121]杨济匡,肖志和万鑫铭.使用人体颈部有限元模型研究汽车后碰撞中的颈部损伤.汽车工程,2007,29(6):457-461.
    [122]王方,肖志,万鑫铭,等.汽车低速碰撞中的人体颈部有限元模型验证.汽 车安全与节能学报,2010,1(3):214-218.
    [123]聂文忠.脊柱胸腰部的生物力学建模与应用研究——中国力学虚拟人的基本问题初探:[上海交通大学博士学位论文].上海:2009.
    [124]Winters J M and Stark L. Estimated mechanical properties of synergistic muscles involved in movements of a variety of human joints. Journal of Biomechanics,1988,21(12):1027-41.
    [125]Knaub K and Myers B S. Cervical spine muscles. Duke University. Durham, NC1998.
    [126]Szabo T J and Welcher J B. Human subject kinematics and electromyographic activity during low speed rear impacts. In:40th Stapp Car Crash Conference. Albuquerque, New Mexico, USA,1996.
    [127]Kumar S, Narayan Y, and Amell T. Analysis of low velocity frontal impacts. Clin Biomech,2003,18(8):694-703.
    [128]Magnusson M L, Pope M H, Hasselquist L, et al. Cervical electromyographic activity during low-speed rear impact. Eur Spine J,1999,8(2):118-25.
    [129]Brault J R, Siegmund G P, and Wheeler J B. Cervical muscle response during whiplash:evidence of a lengthening muscle contraction. Clin Biomech (Bristol, Avon),2000,15(6):426-35.
    [130]Wittek A, Ono K, Kajzer J, et al. Analysis and comparison of reflex times and electromyograms of cervical muscles under impact loading using surface and fine-wire electroces. IEEE Trans Biomed Eng,2001,48(2):143-53.
    [131]Kumar S, Narayan Y, and Amell T. An electromyographic study of low-velocity rear-end impacts. Spine,2002,27(10):1044-55.
    [132]Hernandez I A, Fyfe K R, Heo G, et al. The role of sternocleidomastoid muscle in simulated low velocity rear-end impacts. Eur Spine J,2006,15(6):876-85.
    [133]Kumar S, Narayan Y, and Amell T. Role of awareness in head-neck acceleration in low velocity rear-end impacts. Accid Anal Prev,2000,32(2):233-41.
    [134]Kumar S, Narayan Y, and Amell T. Cervical strength of young adults in sagittal, coronal, and intermediate planes. Clin Biomech (Bristol, Avon),2001,16(5): 380-8.
    [135]Kumar S, Narayan Y, Amell T, et al. Electromyography of superficial cervical muscles with exertion in the sagittal, coronal and oblique planes. Eur Spine J, 2002,11(1):27-37.
    [136]Dawson R. Differences between adult and pediatric neck muscle stress due muscle recruitment patterns:[dissertation]. Detroit:Wayne State University, 2011.
    [137]Yang K H, Zhu F, Luan F, et al. Development of a finite element model of the human neck. In:42nd Stapp Car Crash Conference. Tempe, Arizona,1998, pp. pp.195-205.
    [138]Chancey V C, Nightingale R W, Van Ee C A, et al. Improved estimation of human neck tensile tolerance:reducing the range of reported tolerance using anthropometrically correct muscles and optimized physiologic initial conditions. Stapp Car Crash J,2003,47:135-53.
    [139]Teo E C, Zhang Q H, and Huang R C. Finite element analysis of head-neck kinematics during motor vehicle accidents:analysis in multiple planes. Medical Engineering & Physics,2007,29(1):54-60.
    [140]Meyer F, Bourdet N, Deck C, et al. Human neck finite element model development and validation against original experimental data. Stapp Car Crash J,2004,48:177-206.
    [141]Golinski W and Gentle R. The influence of seat back rake on ligament loadings in rear-end impact. Proceedings of the Institution of Mechanical Engineers, Part D:Journal of Automobile Engineering,2005,219(2):197-205.
    [142]Hedenstierna S and Halldin P. How does a three-dimensional continuum muscle model affect the kinematics and muscle strains of a finite element neck model compared to a discrete muscle model in rear-end, frontal, and lateral impacts. Spine,2008,33(8):E236-E245.
    [143]Halldin P H, Brolin K, Kleiven S, et al. Investigation of conditions that affect neck compression-flexion injuries using numerical techniques. Stapp Car Crash Journal,2000,44:127-138.
    [144]Brolin K, Halldin P, and Leijonhufvud I. The effect of muscle activation on neck response. Traffic Inj Prev,2005,6(1):67-76.
    [145]Van der Horst M, Thunnissen J, Happee R, et al. The influence of muscle activity on head-neck response during impact. In:41th Stapp Car Crash Conference.1997, pp.487-508.
    [146]Stemper B D, Yoganandan N, and Pintar F A. Validation of a head-neck computer model for whiplash simulation. Med Biol Eng Comput,2004,42(3): 333-8.
    [147]Kruidhof J and Pandy M G. Effect of muscle wrapping on model estimates of neck muscle strength. Comput Methods Biomech Biomed Engin,2006,9(6): 343-52.
    [148]Hu R, Mustard C A, and Burns C. Epidemiology of incident spinal fracture in a complete population. Spine,1996,21(4):492-499.
    [149]Easter J S, Barkin R, Rosen C L, et al. Cervical spine injuries in children, part I: mechanism of injury, clinical presentation, and imaging. J Emerg Med,2011, 41(2):142-50.
    [150]Easter J S, Barkin R, Rosen C L, et al. Cervical spine injuries in children, part II: management and special considerations. J Emerg Med,2011,41(3):252-6.
    [151]Kasai T, Ikata T, Katoh S, et al. Growth of the cervical spine with special reference to its lordosis and mobility. Spine,1996,21(18):2067-73.
    [152]Fesmire F M and Luten R C. The pediatric cervical spine:developmental anatomy and clinical aspects. J Emerg Med,1989,7(2):133-42.
    [153]Arlet V and Fassier F. The pediatric spine Philadelphia:Lippincott Williams & Wilkins,2001.
    [154]Zhang O H, Teo E C, and Ng H W. Development and validation of a C0-C7 FE complex for biomechanical study. Journal of Biomechanical Engineering,2005, 127(5):729-735.
    [155]del Palomar A P, Calvo B, and Doblare M. An accurate finite element model of the cervical spine under quasi-static loading. Journal of Biomechanics,2008, 41(3):523-531.
    [156]Panzer M B. Numerical modelling of the human cervical spine in frontal impact: [thesis]. Waterloo:University of Waterloo,2006.
    [157]Currey J D and Butler G. The mechanical properties of bone tissue in children. J Bone Joint Surg Am,1975,57(6):810-4.
    [158]Howarth C I, Routledge D A, and Repetto-Wright R. An analysis of road accidents involving child pedestrians. Ergonomics,1974,17(3):319-30.
    [159]Jonah B A and Engel G R. Measuring the Relative Risk of Pedestrian Accidents. Accident Analysis and Prevention,1983,15(3):193-206.
    [160]Wazana A, Krueger P, Raina P, et al. A review of risk factors for child pedestrian injuries:are they modifiable? Inj Prev,1997,3(4):295-304.
    [161]Snyder R G. Anthropometry of Infants, Children, and Youths to Age 18 for Product Safety Design. Final Report. Society of Automotive Engineers. Warrendale, PA1977.
    [162]Weber K, Lehman R J, and Schneider L W. Child anthropometry for restraint system design. University of Michigan Transportation Research Institure. Ann Arbor, MI1985.
    [163]Agur A M and Dalley A F. Grant's atlas of anatomy:Lippincott Williams & Wilkins,2005.
    [164]Moore K L and Dalley A F. Clinically oriented anatomy.5th ed. Philadelphia: Lippincott Williams & Wilkins,2006.
    [165]Sairyo K, Goel V K, Masuda A, et al. Three-dimensional finite element analysis of the pediatric lumbar spine. Part I:pathomechanism of apophyseal bony ring fracture. Eur Spine J,2006,15(6):923-9.
    [166]Panjabi M M, Chen N C, Shin E K, et al. The cortical shell architecture of human cervical vertebral bodies. Spine,2001,26(22):2478-2484.
    [167]Scifert J L. Biomechanical investigations of the lower cervical spine: [dissertation]. Iowa City:University of Iowa,2000.
    [168]Pooni J S, Hukins D W, Harris P F, et al. Comparison of the structure of human intervertebral discs in the cervical, thoracic and lumbar regions of the spine. Surg Radiol Anat,1986,8(3):175-82.
    [169]Cassidy J J, Hiltner A, and Baer E. Hierarchical structure of the intervertebral disc. Connect Tissue Res,1989,23(1):75-88.
    [170]Yoganandan N, Knowles S A, Maiman D J, et al. Anatomic study of the morphology of human cervical facet joint. Spine,2003,28(20):2317-2323.
    [171]Kallemeyn N, Gandhi A, Kode S, et al. Validation of a C2-C7 cervical spine finite element model using specimen-specific flexibility data. Medical Engineering & Physics,2010,32(5):482-9.
    [172]Hill R. Aspects of invariance in solid mechanics. Advances in applied mechanics,1978,18:1-75.
    [173]Storakers B. On material representation and constitutive branching in finite compressible elasticity. Journal of the Mechanics and Physics of Solids,1986, 34(2):125-145.
    [174]Yoganandan N, Pintar F A, Kumaresan S, et al.. Pediatric and small female neck injury scale factors and tolerance based on human spine biomechanical characteristics, in:IRCOBI Conference. Montpellier, France.2000.
    [175]Co. L. LS-DYNA keyword User's manual.2009.
    [176]Gilsanz V, Perez F J, Campbell P P, et al. Quantitative CT reference values for vertebral trabecular bone density in children and young adults. Radiology,2009, 250(1):222-227.
    [177]Denoziere G and Ku D N. Biomechanical comparison between fusion of two vertebrae and implantation of an artificial intervertebral disc. Journal of Biomechanics,2006,39(4):766-75.
    [178]Cohen B, Chorney G S, Phillips D P, et al. The microstructural tensile properties and biochemical composition of the bovine distal femoral growth plate. J Orthop Res,1992,10(2):263-75.
    [179]Fujii T, Takai S, Arai Y, et al. Microstructural properties of the distal growth plate of the rabbit radius and ulna:biomechanical, biochemical, and morphological studies. Journal of Orthopaedic Research,2000,18(1):87-93.
    [180]Williams J L, Do P D, Eick J D, et al. Tensile properties of the physis vary with anatomic location, thickness, strain rate and age. Journal of Orthopaedic Research,2001,19(6):1043-8.
    [181]Yamada H. Strength of biological materials. Baltimore:Williams & Wilkins, 1970.
    [182]Nightingale R W, Carol Chancey V, Ottaviano D, et al. Flexion and extension structural properties and strengths for male cervical spine segments. Journal of Biomechanics,2007,40(3):535-42.
    [183]Walker Jr L B, Harris E H, and Pontius U R. Mass, volume, center of mass and moment of inertia of head and neck of the human body. In:17th Stapp Car Crash Conference.1973, p. SAE 730985.
    [184]Dibb A T, Nightingale R W, Luck J F, et al. Tension and combined tension-extension structural response and tolerance properties of the human male ligamentous cervical spine. Journal of Biomechanical Engineering,2009, 131(8):081008
    [185]Durbin D R, Kallan M J, and Winston F K. Trends in booster seat use among young children in crashes. Pediatrics,2001,108(6):art. no.-e109.
    [186]Winston F K, Kallan M J, Elliott M R, et al. Effect of booster seat laws on appropriate restraint use by children 4 to 7 years old involved in crashes. Arch Pediatr Adolesc Med,2007,161(3):270-5.
    [187]Garcia-Espana J F and Durbin D R. Injuries to belted older children in motor vehicle crashes. Accid Anal Prev,2008,40(6):2024-8.
    [188]Harrison D E, Harrison D D, Cailliet R, et al. Cobb method or Harrison posterior tangent method:which to choose for lateral cervical radiographic analysis. Spine,2000,25(16):2072-8.
    [189]Beier G, Schuller E, Schuck M, et al. Center of gravity and moments of inertia of human heads. In:IRCOBI Conference. Bron, France,1980, pp.218-228.
    [190]Van Ee C A, Chasse A L, and Myers B S. Quantifying skeletal muscle properties in cadaveric test specimens:Effects of mechanical loading, postmortem time, and freezer storage. Journal of Biomechanical Engineering-Transactions of the Asme,2000,122(1):9-14.
    [191]Winters J M. How detailed should muscle models be to understand multijoint movement coordination. Human Movement Science,1995,14(4-5):401-442.
    [192]Winters J M and LY S. Multiple muscle systems:biomechanics and movement organization vol.738:Springer-Verlag New York,1990.
    [193]Lavaste F, Skalli W, Robin S, et al. Three-dimensional geometrical and mechanical modelling of the lumbar spine. Journal of Biomechanics,1992, 25(10):1153-64.
    [194]Maurel N, Lavaste F, and Skalli W. A three-dimensional parameterized finite element model of the lower cervical spine, study of the influence of the posterior articular facets. Journal of Biomechanics,1997,30(9):921-31.
    [195]Yoganandan N, Pintar F A, Lew S M, et al. Quantitative analyses of pediatric cervical spine ossification patterns using computed tomography. Ann Adv Automot Med,2011,55:159-68.
    [196]Yousefzadeh D K, El-Khoury G Y, and Smith W L. Normal sagittal diameter and variation in the pediatric cervical spine. Radiology,1982,144(2):319-25.
    [197]Weinstein S L and Wenger D R. The pediatric spine:principles and practice. Journal of Pediatric Orthopaedics,1994,14(5):680.
    [198]Kasai T, Ikata T, Katoh S, et al. Growth of the cervical spine with special reference to its lordosis and mobility. Spine,1996,21(18):2067-73.
    [199]Taylor J R. Growth of human intervertebral discs and vertebral bodies. J Anat, 1975,120(Pt 1):49-68.
    [200]Panjabi M M, Crisco J J, Vasavada A, et al. Mechanical properties of the human cervical spine as shown by three-dimensional load-displacement curves. Spine, 2001,26(24):2692-700.
    [201]C. W N, Sven H, Carla K-I, et al. Morphomic analysis of cervical facet angles. JSAE. Pacifico Yokohama, Japan,2012.
    [202]Woldtvedt D J, Womack W, Gadomski B C, et al. Finite element lumbar spine facet contact parameter predictions are affected by the cartilage thickness distribution and initial joint gap size. J Biomech Eng,2011,133(6):061009.
    [203]Dong L, Li G, Mao H, et al. Development and validation of a 10-year-old child ligamentous cervical spine finite element model. Annals of Biomedical Engineering,2013,41(12):2538-2552.
    [204]Mao H, Yang K H, King A I, et al. Computational neurotrauma--design, simulation, and analysis of controlled cortical impact model. Biomechanics and Modeling in Mechanobiology,2010,9(6):763-72.
    [205]Sherwood C P, Shaw C G, Van Rooij L, et al. Prediction of cervical spine injury risk for the 6-year-old child in frontal crashes. Traffic Inj Prev,2003,4(3): 206-13.
    [206]Hedenstierna S, Halldin P, and Siegmund G P. Neck muscle load distribution in lateral, frontal, and rear-end impacts:a three-dimensional finite element analysis. Spine,2009,34(24):2626-33.
    [207]Thunnissen J, Wismans J, Ewing C, et al. Human volunteer head-neck response in frontal flexion:a new analysis. In:39th Stapp Car Crash Conference,1995.
    [208]Cambell B and Cronin D. High rate characterization of automotive seat foams. Proceedings of SEM.2007:
    [209]McElhaney J H. Dynamic response of bone and muscle tissue. J Appl Physiol, 1966,21(4):1231-6.
    [210]Quenneville C E and Dunning C E. Development of a finite element model of the tibia for short-duration high-force axial impact loading. Computer Methods In Biomechanics And Biomedical Engineering,2011,14(2):205-212.
    [211]Gomez M and Nahum A. Biomechanics of bone. In:Accidental Injury: Biomechanics and Prevention, ed New York:Springer,2002.
    [212]Linde F, Hvid I, and Pongsoipetch B. Energy absorptive properties of human trabecular bone specimens during axial compression. J Orthop Res,1989,7(3): 432-9.
    [213]Puso M A and Weiss J A. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng,1998,120(1):62-70.
    [214]McKay B J and Bir C A. Lower extremity injury criteria for evaluating military vehicle occupant injury in underbelly blast events. Stapp Car Crash Journal, 2009,53:229-249.
    [215]Jin X, Begeman P C, Zhu F, et al. Experimental investigation of human lower-limb response to simulated vertical blast loading delivered to the vehicle floor, (under review)
    [216]Yoganandan N, Pintar F A, Boynton M, et al. Dynamic axial tolerance of the human foot-ankle complex. In:Stapp Car Crash Conference.1996,40:207-218.
    [217]Quenneville C E, McLachlin S D, Greeley G S, et al. Injury tolerance criteria for short-duration axial impulse loading of the isolated tibia. Journal Of Trauma-Injury Infection And Critical Care,2011,70(1):E13-E18.
    [218]Levine R. Injuries to the extremities, in Accidental Injury:Biomechanics and Prevention Nahum A M and Melvin J, Eds. ed New York:Springer-Verlag,2002.
    [219]Mertz H J. Anthropometric test device. in Accidental Injury:Biomechanics, and Prevention, Nahum A M and Melvin J, Eds. ed New York:Springer,1993.
    [220]Kuppa S, Wang J, Haffner M, et al. Lower extremity injuries and associated injury criteria. In:17th ESV Conference. Paper,2001.
    [221]Funk J R, Rudd R W, Kerrigan J R, et al. The effect of tibial curvature and fibular loading on the tibia index. Traffic Inj Prev,2004,5(2):164-72.
    [222]Denis F. The three column spine and its significance in the classification of acute thorocolumbar spinal injuries. Spine,1983,8(8):817-831.
    [223]Carter J W, Ku G S, Nuckley D J, et al. Tolerance of the cervical spine to eccentric axial compression. Stapp Car Crash J,2002,46:441-59.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700