Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function.
Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function.
复制标题
使用连续的体积分数分布函数对生物组织的胶原原纤维网络建模为非线性弹性材料。
DOI：
10.1177/1081286510387866
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发表时间：
2011-09-14
期刊：
影响因子：
--
通讯作者：
Klisch SM
中科院分区：
文献类型：
--
作者：
Shirazi R;Vena P;Sah RL;Klisch SM
尽管具有不同的机械功能，但生物软组织具有共同的微观结构，其中基质由胶原纤维网络增强。胶原网络的微观结构特性有助于连续的机械组织特性，其具有强各向异性和拉伸-压缩不对称性。在这项研究中，一种新的方法的基础上的胶原纤维体积分数的连续分布的模型纤维增强软组织作为一种非线性弹性和各向异性材料。与使用归一化的原纤维数量来定义分布函数的其他方法相比，该表示基于通常通过实验测量的分布参数（即体积分数），同时还将胶原原纤维网络的预应力并入组织天然构型中。在给出胶原应变能函数的形式之后，给出了两种体积分数分布函数的例子。因此，胶原蛋白第二皮奥拉基尔霍夫应力和弹性张量的推导，首先在一般形式，然后专门用于模型，可用于未成熟的牛关节软骨。结果表明，建议的应变能是一个凸函数的变形梯度张量，因此，是适合于形成一个多凸组织应变能函数。
Despite distinct mechanical functions, biological soft tissues have a common microstructure in which a ground matrix is reinforced by a collagen fibril network. The microstructural properties of the collagen network contribute to continuum mechanical tissue properties that are strongly anisotropic with tensile-compressive asymmetry. In this study, a novel approach based on a continuous distribution of collagen fibril volume fractions is developed to model fibril reinforced soft tissues as a nonlinearly elastic and anisotropic material. Compared with other approaches that use a normalized number of fibrils for the definition of the distribution function, this representation is based on a distribution parameter (i.e. volume fraction) that is commonly measured experimentally while also incorporating pre-stress of the collagen fibril network in a tissue natural configuration. After motivating the form of the collagen strain energy function, examples are provided for two volume fraction distribution functions. Consequently, collagen second-Piola Kirchhoff stress and elasticity tensors are derived, first in general form and then specifically for a model that may be used for immature bovine articular cartilage. It is shown that the proposed strain energy is a convex function of the deformation gradient tensor and, thus, is suitable for the formation of a polyconvex tissue strain energy function.
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影响因子：
2.5
作者：
BALL, JM
通讯作者：
BALL, JM
影响因子：
2.4
作者：
Shirazi, R.;Shirazi-Adl, A.;Hurtig, M.
通讯作者：
Hurtig, M.
影响因子：
2.4
作者：
Williams, Gregory M.;Dills, Kristin J.;Sah, Robert L.
通讯作者：
Sah, Robert L.
影响因子：
2.8
作者：
Williamson, AK;Chen, AC;Sah, RL
通讯作者：
Sah, RL
DOI：
10.1115/1.2486179
发表时间：
2007-04-01
影响因子：
1.7
作者：
Ateshian, Gerard A.
通讯作者：
Ateshian, Gerard A.