ELASTICITY OF SOFT TISSUES IN SIMPLE ELONGATION

ELASTICITY OF SOFT TISSUES IN SIMPLE ELONGATION
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DOI:
10.1152/ajplegacy.1967.213.6.1532
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发表时间:
1967-01-01
影响因子:
--
通讯作者:
FUNG, YCB
FUNG, YCB
中科院分区:
其他
文献类型:
--
作者:
FUNG, YCB

文献摘要

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活的软组织的弹性是强非线性的。基于兔肠系膜的实验结果,提出了一个可以描述软组织弹性特性的理论框架。数学公式在减少心脏和横纹肌和皮肤的系列元素上的公开数据方面效果很好。在简单拉伸中,在较低的应力范围内,拉伸应力与应变近似成指数函数关系。虽然所研究的材料是高度非线性材料的一种确定变形,但在大多数情况下,软组织在拉伸状态下的弹性性质可以用简单的方法来表示。然而,有必要放弃试图通过代表性杨氏模量来表征组织弹性的通常做法,因为该模量在很宽的范围内变化,在应力消失时通常为零,并且随着应力增加而线性增加,因此除非指定确切的应力水平,否则没有意义。推荐的新物理常数为:dT/dX与T的曲线原点处的斜率和曲率,其中T代表张力,[gamma]代表延伸率,以及在特定延伸率[gamma]* 值下的拉伸应力T*(基于原始横截面积)。
Elasticity of living soft tissues is strongly nonlinear. Based on experimental results on rabbits'' mesentery, a theoretical framework is presented in which the elastic properties of soft tissues can be described. The mathematical formulation works well in reducing published data on the series element of the heart and striated muscles, and the skin. In simple elongation the tensile stress was nearly an exponential function of the strain in the lower stress range. Although the material worked with was a definite deformation of highly nonlinear materials, the elastic property of soft tissues in tension could be expressed quite simply in most cases. It is necessary, however, to give up the usual practice of trying to characterize the elasticity of a tissue by a representative Young''s modulus, because this modulus varied over a very wide range, which was often zero at vanishing stress, and increased linearly as the stress increased, and therefore was meaningless unless the exact stress level was specified. New physical constants recommended are: the slope and curvature at the origin of the curve of dT/dX vs. T, where T stands for tension and [gamma] stands for the extension ratio, and the tensile stress T* , (based on the original cross-sectional area)at a specific value of the extension ratio [gamma]*.