A single integral finite strain viscoelastic model of ligaments and tendons
A single integral finite strain viscoelastic model of ligaments and tendons
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DOI：
10.1115/1.2795963
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发表时间：
1996-05-01
影响因子：
1.7
通讯作者：
Rajagopal, KR
中科院分区：
文献类型：
--
作者：
Johnson, GA;Livesay, GA;Rajagopal, KR
建立了生物软组织非线性粘弹性行为的一般连续介质模型。该单积分有限应变（SIFS）模型描述了三维模型中非线性粘弹性材料的有限变形。获得了描述单轴拉伸的具体形式，然后引入了从一种材料转换为另一种材料（在微观水平上）的想法来模拟韧带和肌腱的非线性行为。转换允许不同的本构方程用于描述一个单一的韧带或肌腱在不同的应变水平。该模型被应用于数据从单轴延伸的年轻和老年人髌腱和犬内侧副韧带。从曲线拟合的应力-应变和应力松弛数据确定模型参数，并用于预测周期性扩展产生的随时间变化的应力。
A general continuum model for the nonlinear viscoelastic behavior of soft biological tissues was formulated. This single integral finite strain (SIFS) model describes finite deformation of a nonlinearly viscoelastic material within the context of a three-dimensional model. The specific form describing uniaxial extension was obtained, and the idea of conversion from one material to another (at a microscopic level) was then introduced to model the nonlinear behavior of ligaments and tendons. Conversion allowed different constitutive equations to be used for describing a single ligament or tendon at different strain levels. The model was applied to data from uniaxial extension of younger and older human patellar tendons and canine medial collateral ligaments. Model parameters were determined from curve-fitting stress-strain and stress-relaxation data and used to predict the time-dependent stress generated by cyclic extensions.