变应变率下骨骼肌连续介质本构模型  

A Continuum Constitutive Model of Skeletal Muscle at Variable Strain Rate

作　　者：柯成 王芳 李明新[3] 曹子君 孔虎 张建国 樊瑜波[4] KE Cheng;WANG Fang;LI Mingxin;CAO Zijun;KONG Hu;ZHANG Jianguo;FAN Yubo(Key Laboratory of Integrated Design and On-Line Monitoring of Light Industrial and Food Engineering Machinery and Equipment in Tianjin,College of Mechanical Engineering,Tianjin University of Science and Technology,Tianjin 300222,China;Key Laboratory of Rehabilitation Assistive Devices Technology and System of Ministry of Civil Affairs,National Research Center for Rehabilitation Technical Aids,Beijing 100176,China;Department of Traumatology,Hospital of Tianjin,Tianjin 300211,China;Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education,School of Biological Science and Medical Engineering,Beihang University,Beijing 100191,China)

机构地区：[1]天津科技大学机械工程学院,天津市轻工与食品工程机械装备集成设计与在线监控重点实验室,天津300222 [2]国家康复辅具研究中心民政部康复辅具技术与系统重点实验室,北京100176 [3]天津市天津医院创伤科,天津300211 [4]北京航空航天大学生物与医学工程学院,生物力学与力生物学教育部重点实验室,北京100191

出　　处：《医用生物力学》2021年第6期896-902,共7页Journal of Medical Biomechanics

基　　金：国家自然科学基金面上项目(12102301);天津市教委科研计划项目(2017KDYB21);天津市企业科技特派员项目(18JCTPJC57600)。

摘　　要：目的针对不同结构耦合肌肉主被动行为无法考虑肌肉组织连续介质力学特性的问题,提出运用被动与主动耦合在同一个本构方程的方法,构建骨骼肌连续介质超弹性主被动本构模型。方法为标定被动本构模型参数,给出单轴拉伸实验方法及条件,并通过理论推导,介绍利用试验数据求解被动模型参数的具体方法。为验证主动模型的有效性,以实例对模型进行验证。结果模型预测曲线与实验输出应力拉伸比曲线具有较好的一致性,在相同应变下的情况下,被动应力和总应力最大误差仅为20、40 kPa。结论该连续介质超弹性本构模型能较好模拟骨骼肌的主被动行为,从而有利于下一步人体肌肉的建模与仿真。Objective Aiming at the problem that mechanical properties for the continuum of muscle tissues cannot be considered in active and passive behaviors of different structurally coupled muscles,a method of passive and active coupling in the same constitutive equation was proposed to construct ahyperelastic active and passive constitutive model of skeletal muscle continuum.Methods In order to calibrate parameters of the passive constitutive model,the uniaxial tensile experiment method and conditions were given,and through theoretical derivation,the specific method of using experimental data to solve the passive model parameters was introduced.In order to verify effectiveness of the active model,the model was verified with an example.Results The curves predicted by the model were in good agreement with the experimental output stress-stretch ratio curves.At the same strain,the maximum error of passive stress and total stress were only 20 kPa and 40 kPa.Conclusions The continuum hyperelastic constitutive model can better simulate active and passive behavior of skeletal muscles,which is beneficial for modeling and simulation of human muscles in further study.

关 键 词：骨骼肌 应变率 超弹性材料 本构模型 主被动 连续体模型 

分 类 号：R318.01[医药卫生—生物医学工程]