A structural constitutive model for the human lens capsule
A structural constitutive model for the human lens capsule
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DOI：
10.1007/s10237-008-0130-5
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发表时间：
2009-06-01
影响因子：
3.5
通讯作者：
Burd, Harvey John
中科院分区：
文献类型：
--
作者：
Burd, Harvey John
对在单轴和双轴条件下测试的人晶状体囊的力学性能的已发表数据进行了综述。结论是，两个简单的唯象本构模型（即线弹性模型和冯氏型超弹性模型）无法对这两种加载条件下的晶状体囊的力学行为提供令人满意的描述。探讨了使用一种晶状体囊的结构本构模型来解决这些困难的可能性，该模型的形式受到晶状体囊内存在的IV型胶原纤维网络的启发。该模型在一个矩形周期性单元中实现。在周期性单元上施加规定的拉伸，并且允许网络以非仿射方式变形。本构模型的性能与先前发表的测试数据有很好的相关性。该模型的一个可能应用是在人晶状体囊力学的多尺度分析的发展中。
Published data on the mechanical performance of the human lens capsule when tested under uniaxial and biaxial conditions are reviewed. It is concluded that two simple phenomenological constitutive models (namely a linear elastic model and a Fung-type hyperelastic model) are unable to provide satisfactory representations of the mechanical behaviour of the capsule for both of these loading conditions. The possibility of resolving these difficulties using a structural constitutive model for the capsule, of a form that is inspired by the network of collagen IV filaments that exist within the lens capsule, is explored. The model is implemented within a rectangular periodic cell. Prescribed stretches are imposed on the periodic cell and the network is allowed to deform in a non-affine manner. The performance of the constitutive model correlates well with previously published test data. One possible application of the model is in the development of a multi-scale analysis of the mechanics of the human lens capsule.