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结缔组织速率依赖性行为的微机械建模

Micromechanical modeling of rate-dependent behavior of Connective tissues.

作者信息

Fallah A, Ahmadian M T, Firozbakhsh K, Aghdam M M

机构信息

Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran; Center of Excellence in Design, Robotics and Automation (CEDRA), Sharif University of Technology, Tehran, Iran.

Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran; Center of Excellence in Design, Robotics and Automation (CEDRA), Sharif University of Technology, Tehran, Iran.

出版信息

J Theor Biol. 2017 Mar 7;416:119-128. doi: 10.1016/j.jtbi.2017.01.011. Epub 2017 Jan 7.

DOI:10.1016/j.jtbi.2017.01.011
PMID:28069450
Abstract

In this paper, a constitutive and micromechanical model for prediction of rate-dependent behavior of connective tissues (CTs) is presented. Connective tissues are considered as nonlinear viscoelastic material. The rate-dependent behavior of CTs is incorporated into model using the well-known quasi-linear viscoelasticity (QLV) theory. A planar wavy representative volume element (RVE) is considered based on the tissue microstructure histological evidences. The presented model parameters are identified based on the available experiments in the literature. The presented constitutive model introduced to ABAQUS by means of UMAT subroutine. Results show that, monotonic uniaxial test predictions of the presented model at different strain rates for rat tail tendon (RTT) and human patellar tendon (HPT) are in good agreement with experimental data. Results of incremental stress-relaxation test are also presented to investigate both instantaneous and viscoelastic behavior of connective tissues.

摘要

本文提出了一种用于预测结缔组织(CTs)速率依赖性行为的本构和细观力学模型。结缔组织被视为非线性粘弹性材料。利用著名的准线性粘弹性(QLV)理论将CTs的速率依赖性行为纳入模型。基于组织微观结构的组织学证据,考虑了一个平面波浪形代表性体积单元(RVE)。所提出的模型参数是根据文献中的现有实验确定的。所提出的本构模型通过UMAT子程序引入到ABAQUS中。结果表明,该模型对大鼠尾腱(RTT)和人髌腱(HPT)在不同应变速率下的单调单轴试验预测与实验数据吻合良好。还给出了增量应力松弛试验的结果,以研究结缔组织的瞬时和粘弹性行为。

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