Spilker R L, Jakobs D M, Schultz A B
J Biomech Eng. 1986 Feb;108(1):1-11. doi: 10.1115/1.3138575.
A simple axisymmetric finite element model of a human spine segment containing two adjacent vertebrae and the intervening intervertebral disk was constructed. The model incorporated four substructures: one to represent each of the vertebral bodies, the annulus fibrosus, and the nucleus pulposus. A semi-analytic technique was used to maintain the computational economies of a two-dimensional analysis when nonaxisymmetric loads were imposed on the model. The annulus material was represented as a layered fiber-reinforced composite. This paper describes the selection of material constants to represent the anisotropic layers of the annulus. It shows that a single set of material constants can be chosen so that model predictions of gross disk behavior under compression, torsion, shear, and moment loading are in reasonable agreement with the mean and range of experimentally measured disk behaviors. It also examines the effects of varying annular material properties.
构建了一个包含两个相邻椎体及其间椎间盘的人体脊柱节段的简单轴对称有限元模型。该模型包含四个子结构：分别代表每个椎体、纤维环和髓核。当对模型施加非轴对称载荷时，采用半解析技术以保持二维分析的计算经济性。纤维环材料被表示为层状纤维增强复合材料。本文描述了用于表示纤维环各向异性层的材料常数的选择。结果表明，可以选择一组单一的材料常数，使得模型对椎间盘在压缩、扭转、剪切和弯矩载荷下的总体行为预测与实验测量的椎间盘行为的平均值和范围合理一致。本文还研究了改变纤维环材料特性的影响。
