Hyperelastic Constitutive Model for Sheep Intervertebral Disc

Reyhane Faraji, Vida Shams Esfand Abadi, M. B. Shirin
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Abstract

The intervertebral disc (IVD) plays an important role in the normal functioning of the spine and acts as an interface to hold the vertebra together. IVDs have been subjected to different tests to find out their mechanical models. Different species of animal models are used for in vivo and in vitro for spinal column researches. Many studies have found similarities between sheep and human spines in terms of anatomy and geometry. The study of biomechanical similarities is essential for the improvement of diseases and surgical techniques. Obtaining precise mechanical behavior of IVDs is great importance for researching. In this study we try to investigate the hyperelastic behavior of sheep intervertebral disc and also find the appropriate mathematical model for describing of that. In order to do this, after isolating intervertebral disc from sheep uniaxial compression tests with constant strain rate carried out and the achieved data were used to fitted by three conventional hyper-elastic models, i.e. Moony-Rivlin, Neo-Hookean and Yeoh to report the best hyperelastic model for IVD.
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绵羊椎间盘超弹性本构模型
椎间盘(IVD)在脊柱的正常功能中起着重要的作用,并作为将椎体连接在一起的界面。ivd进行了不同的测试,以找出它们的力学模型。不同种类的动物模型分别用于体内和体外脊柱研究。许多研究发现羊和人类的脊椎在解剖学和几何学上有相似之处。生物力学相似性的研究对于疾病和手术技术的改进是必不可少的。精确获取ivd的力学行为对研究具有重要意义。在这项研究中,我们试图研究羊椎间盘的超弹性行为,并找到合适的数学模型来描述这种行为。为此,在分离绵羊椎间盘进行恒定应变率单轴压缩试验后,将获得的数据用Moony-Rivlin、Neo-Hookean和Yeoh三种常规超弹性模型进行拟合,以报告最佳的IVD超弹性模型。
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