人体椎间盘纤维环各向异性超弹性材料本构模型的数值验证  

Numerical Validation of an Anisotropic Hyperelastic Constitutive Model for Human Annulus Fibrosus

作　　者：王宇[1] 彭雄奇[1] Zaoyang Guo 

机构地区：[1]西北工业大学机电学院,陕西西安710072 [2]Departments of Mechanical and Civil Engineering, University of Glasgow, Glasgow G12 8LT, Scotland, UK

出　　处：《西北工业大学学报》2010年第4期536-540,共5页Journal of Northwestern Polytechnical University

基　　金：西北工业大学基础研究基金(G9KY1003)及西北工业大学青年创新基金(W016224)资助

摘　　要：在用有限元法进行人体椎间盘生物力学分析时,椎间盘纤维环本构模型的优劣将直接影响分析结果的准确性。因此,提出椎间盘纤维环本构模型并对其准确性进行验证变得十分重要。作者前期提出了一种考虑基质与纤维剪切相互作用,适用于人体椎间盘纤维环的各向异性超弹性纤维加强材料本构模型,文章将利用实体标本实验数据对这一模型进行数值验证。利用影像诊断技术(CT扫描)获得人体腰椎L3-L4节段的三维模型,建立包括椎体、椎间盘和各种韧带的有限元分析模型。其中椎间盘纤维环采用作者前期提出的超弹性各向异性纤维环材料本构模型建立。利用商业有限元软件ABAQUS/Standard进行与实体标本实验条件相同情况下的模拟分析,得出分析结果,与实体标本实验结果对比,验证所提出的各向异性超弹性纤维环本构模型的正确性和有效性。模拟分析结果和实体标本实验结果具有良好的一致性,具有良好的生物力学逼真度。此模型可以用于人体椎间盘纤维环的模型建立与生物力学分析。An appropriate constitutive model,which can correctly characterize the nonlinear responses of the annulus fibrosus in the human spine under various loading conditions and deformation modes,is crucial to the accuracy and effectiveness of the biomechanical analysis of the human spine via finite element（FE） method.Ref.7,whose first and second authors are respectively the second and third authors of this paper,developed an anisotropic hyperelastic fiber-reinforced constitutive model for the human intervertebral disc annulus fibrosus by considering fiber-matrix shear interaction.Based on three-dimensional lumbar spine segments which are constructed from CT scanning images,a detailed and anatomically accurate human lumbar spine FE model for the L3-L4 motion segment is developed in this paper.The FE model includes vertebral bodies,vertebral disc,and all kinds of ligaments.Numerical simulations are carried out by using commercial FE software package ABAQUS/Standard.The loading cases considered in the numerical analysis are set to be consistent with the set-up of cadaveric specimen testing available in Refs.10 and 11.Numerical results such as load-displacement curve and nucleus pressure are compared with experimental data to verify the correctness and validity of the constitutive model.Simulation results show good consistency with the cadaveric experimental results under the same loading conditions,and have good biomechanical fidelity.The constitutive model can be used for human intervertebral disc modeling and biomechanical analysis of the human spine column.

关 键 词：腰椎 椎间盘纤维环 本构方程 数值验证 

分 类 号：Q66[生物学—生物物理学]