A Micromechanics Finite-Strain Constitutive Model of Fibrous Tissue.
A Micromechanics Finite-Strain Constitutive Model of Fibrous Tissue.
复制标题
DOI：
10.1016/j.jmps.2011.05.012
复制
发表时间：
2011-09-01
影响因子：
5.3
通讯作者：
Kassab GS
中科院分区：
文献类型：
--
作者：
Chen H;Liu Y;Zhao X;Lanir Y;Kassab GS
由于波状纤维胶原和弹性蛋白微观结构，生物组织具有独特的机械性能。在充气过程中，血管在低压下很容易膨胀，但当纤维拉直以承受负载时会变得更硬。目前的血管微观结构模型采用仿射变形；即，假设每根纤维的变形与组织的宏观变形相同。这种均匀场 (UF) 假设导致组织的宏观（或有效）应变能，即组织成分贡献的体积总和。在这里，开发了一种基于微力学的纤维组织本构模型，以消除仿射假设并考虑纤维和基质之间的异质相互作用。该开发基于最近开发的二阶均质化理论的框架，并考虑了纤维的波纹度、方向和空间分布，以及有限应变变形时的材料非线性。在说明性模拟中，将宏观应力-应变关系的预测以及纤维的统计变形与 UF 模型以及有限元 (FE) 模拟进行比较。我们的预测与 FE 结果非常吻合，而 UF 预测则明显高估。还研究了纤维分布和波纹度对宏观应力-应变关系的影响。目前的数学模型可以作为天然以及工程组织和生物材料的基础。
Biological tissues have unique mechanical properties due to the wavy fibrous collagen and elastin microstructure. In inflation, a vessel easily distends under low pressure but becomes stiffer when the fibers are straightened to take up the load. The current microstructural models of blood vessels assume affine deformation; i.e., the deformation of each fiber is assumed to be identical to the macroscopic deformation of the tissue. This uniform-field (UF) assumption leads to the macroscopic (or effective) strain energy of the tissue that is the volumetric sum of the contributions of the tissue components. Here, a micromechanics-based constitutive model of fibrous tissue is developed to remove the affine assumption and to take into consideration the heterogeneous interactions between the fibers and the ground substance. The development is based on the framework of a recently developed second-order homogenization theory, and takes into account the waviness, orientations, and spatial distribution of the fibers, as well as the material nonlinearity at finite-strain deformation. In an illustrative simulation, the predictions of the macroscopic stress-strain relation, and the statistical deformation of the fibers are compared to the UF model, as well as finite-element (FE) simulation. Our predictions agree well with the FE results, while the UF predictions significantly overestimate. The effects of fiber distribution and waviness on the macroscopic stress-strain relation are also investigated. The present mathematical model may serves as a foundation for native as well as for engineered tissues and biomaterials.
登录
查看更多内容
影响因子：
2.4
作者：
LANIR, Y
通讯作者：
LANIR, Y
DOI：
10.1016/s0022-5096(01)00099-0
发表时间：
2002-04-01
影响因子：
5.3
作者：
Castañeda, PP
通讯作者：
Castañeda, PP
影响因子：
2
作者：
Holzapfel, GA;Gasser, TC;Ogden, RW
通讯作者：
Ogden, RW
影响因子：
--
作者：
AZUMA, T;OKA, S
通讯作者：
OKA, S
影响因子：
1.9
作者：
HILL, R;RICE, JR
通讯作者：
RICE, JR