关节软骨区域性压缩松弛行为差异及黏弹性本构模型  

Differences in Region-Dependent Compressive Relaxation Behavior of Articular Cartilage and Viscoelastic Constitutive Model

作　　者：李姮 于胜波[2] 张伟[1] LI Heng;YU Shengbo;ZHANG Wei(State Key Laboratory of Structural Analysis Optimization and CAE Software for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,Liaoning,China;Department of Anatomy,Dalian Medical University,Dalian 116044,Liaoning,China)

机构地区：[1]大连理工大学工程力学系,工业装备结构分析优化与CAE软件全国重点实验室,辽宁大连116024 [2]大连医科大学解剖学教研室,辽宁大连116044

出　　处：《医用生物力学》2025年第2期435-440,共6页Journal of Medical Biomechanics

基　　金：国家重点研发计划项目(2022YFE0115400);博士后科学基金面上项目(2024M750309);中央高校基本科研业务费(DUT24YG208,DUT24YG107);博士后研究人员资助计划(GZC20240190)。

摘　　要：目的研究不同应变率下膝关节不同区域软骨的压缩松弛行为,构建各区域软骨的黏弹性力学本构,为软骨相关疾病预防、软骨修复材料研发提供参考。方法对比格犬膝关节软骨进行区域划分,通过万能试验机测试各区域软骨在不同加载应变率下的单轴非围限压缩松弛性能,并构建本构模型。结果软骨表现出明显的应力衰减,归一化应力降幅随着应变率的增加而显著增加,胫骨外侧中心平台软骨在应变率5×10^(-4)s^(-1)时归一化应力降幅为19%,应变率5×10^(-2)s^(-1)时归一化应力降幅增加至69%,各应变率下松弛平衡应力几乎持平。建立各区域软骨的Ogden-Prony黏弹性模型,拟合度R2>0.98。结论膝关节软骨在松弛试验中表现出显著的黏弹性响应,其压缩松弛性能具有率相关性和区域相关性,Ogden-Prony黏弹性模型能够反映软骨应变率依赖的应力松弛行为。Objective To investigate the compressive relaxation behavior of cartilage in different regions of the knee joint at different strain rates,and construct the viscoelastic mechanics of cartilage in each region,so as to provide a reference for the prevention of cartilage-related diseases and the development of cartilage repair materials.Methods The knee cartilage of beagle dogs was regionally divided,and the uniaxial unconfined compressive relaxation properties of cartilage in each region were tested by a universal testing machine at different strain rates,and the constitutive models were constructed.Results The cartilage exhibited a notable stress attenuation.Furthermore,the normalized stress reduction increased significantly with increasing strain rate.For cartilage in lateral plateaus of tibia,the normalized stress reduction at strain rate 5×10^(-4)s^(-1) was 19%,and increased to 69%at strain rate 5×10^(-2)s^(-1).The relaxation equilibrium stress remained relatively constant at all strain rates.The Ogden-Prony viscoelastic model of cartilage in each region was developed with a goodness of fit R2>0.98.Conclusions The knee cartilage demonstrates a significant viscoelastic response in relaxation tests,exhibiting the rate-dependent and region-dependent properties.The Ogden-Pony viscoelastic model can reflect the strain rate-dependent stress relaxation behavior of cartilage.

关 键 词：关节软骨 应力松弛 应变率 区域相关性 本构模型 

分 类 号：R318.01[医药卫生—生物医学工程]