STRUCTURAL THEORY FOR THE HOMOGENEOUS BIAXIAL STRESS-STRAIN RELATIONSHIPS IN FLAT COLLAGENOUS TISSUES

STRUCTURAL THEORY FOR THE HOMOGENEOUS BIAXIAL STRESS-STRAIN RELATIONSHIPS IN FLAT COLLAGENOUS TISSUES
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DOI:
10.1016/0021-9290(79)90027-7
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发表时间:
1979-01-01
影响因子:
2.4
通讯作者:
LANIR, Y
LANIR, Y
中科院分区:
工程技术3区
文献类型:
--
作者:
LANIR, Y

文献摘要

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从组织的组成结构和力学性能两方面分析了扁平胶原组织在双向均匀变形下的应力-应变关系。整体组织反应显然是胶原蛋白和弹性蛋白纤维的贡献之和。胶原纤维呈波浪状松弛,弹性蛋白被预拉伸。在变形时,纤维旋转并拉伸。应力分量通过将通过与每个应力分量相关联的单位面积的所有纤维的贡献相加来确定。所得到的组织的行为是由材料常数和材料分布函数,这是与纤维中的角度和几何不均匀性。纤维角分布的不均匀性解释了所观察到的组织的各向异性行为;纤维几何结构的不均匀性解释了非线性应力-应变关系。通过分析特定实验过程的数据,可以确定给定组织的材料常数和功能。
The stress-strain relations of flat collagenous tissues under homogeneous biaxial deformations were analyzed in terms of the tissues'' constituents structure and their mechanical properties. The overall tissue response is apparently the sum of contributions of the collagen and elastin fibers. The collagen fibers are undulated and slack, the elastin is prestretched. Upon deformation the fibers rotate and stretch. The stress components were determined by summing up the contributions of all the fibers passing through the unit area associated with each stress component. The resulting behavior of the tissue is governed by material constants and material distribution functions which are associated with the angular and geometrical nonuniformities in the fibers. The nonuniformity in the angular distribution of the fibers accounts for the observed anisotropic behavior of the tissue; the nonuniformity in the geometrical structure of the fibers accounts for the nonlinear stress-strain relations. The material constants and functions of a given tissue can be determined by analyzing the data of specific experimental procedure.