A structural constitutive model for the strain rate-dependent behavior of anterior cruciate ligaments
A structural constitutive model for the strain rate-dependent behavior of anterior cruciate ligaments
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DOI：
10.1016/j.ijsolstr.2005.04.022
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发表时间：
2006-03-01
影响因子：
3.6
通讯作者：
Slaughter, WS
中科院分区：
文献类型：
--
作者：
De Vita, R;Slaughter, WS
建立了前交叉韧带（ACL）的结构连续体本构关系。本构关系是通过修改以前提出的软组织结构模型，包括应变率相关的影响的描述。韧带组织的各向异性，非线性，不可压缩性和应变率相关的属性被考虑在内。构成ACL的胶原纤维被认为是组织的唯一承重成分。它们朝向不同的方向，在无应力状态下呈波浪形，在加载时逐渐绷紧。此外，绷紧的胶原纤维的特征在于Kelvin-Voigt型粘弹性行为。纤维的空间取向和逐渐补充用概率密度函数表示。已发表的ACL-骨复合体的实验应力-应变数据用于评估本构模型。通过假设ACL具有完全平行的胶原结构并经历等容轴对称变形来测试该模型。此外，纤维补充由单侧概率密度函数定义。结构参数能够拟合不同应变率下的应力-应变曲线。(c)2005爱思唯尔有限公司保留所有权利。
A structural continuum constitutive law is formulated to illustrate the anterior cruciate ligament (ACL) mechanical behavior. The constitutive law is obtained by modifying previously proposed structural models for soft tissues to include the description of strain rate-dependent effects. The ligamentous tissue anisotropy, non-linearity, incompressibility, and strain rate related properties are taken into account. The collagen fibers, which comprise the ACL, are assumed to be the only load-bearing component of the tissue. They are oriented in different directions, undulated in the stress-free configuration and they gradually become taut upon loading. Moreover, the taut collagen fibers are characterized by a Kelvin-Voigt-type viscoelastic behavior. The fiber spatial orientation and gradual recruitment are represented statistically by probability density functions. Published experimental stress-strain data of the ACL-bone complex are used to assess the constitutive model. The model is tested by assuming that the ACL has a perfectly parallel collagen structure and undergoes an isochoric, axisymmetric deformation. Furthermore, the fiber recruitment is defined by a one-sided probability density function. The structural parameters are able to fit the stress-strain curves at different strain rates. (c) 2005 Elsevier Ltd. All rights reserved.