髋关节表面接触应力数学模型的建立及验证  

Mathematics modeling and verification of hip joint surface contact stress

作　　者：王沫楠[1] 安贤俊[1] 

机构地区：[1]哈尔滨理工大学机器人研究所,黑龙江哈尔滨150080

出　　处：《中南大学学报（自然科学版）》2015年第6期2081-2089,共9页Journal of Central South University:Science and Technology

基　　金：教育部新世纪优秀人才支持计划(NCET-13-0756);国家自然科学基金(61272387);黑龙江省杰出青年基金(JC201302)~~

摘　　要：基于体外实验的不可行性和有限元方法实现的复杂性,提出利用数学模型揭示髋关节表面接触应力与几何参数之间的关系进而模拟三维静态髋关节表面生物力学特性,并以此来研究人体髋关节表面的承载区域、应力分布以及接触应力峰值等属性。同时,利用有限元方法建立单足静立髋关节模型并进行模型分析,通过仿真结果与数学模型计算结果的对比,从髋关节表面接触应力分布和接触应力峰值2个方面对所建立的数学模型进行评价,验证数学模型的精确性和普适性。最后,利用髋关节表面接触应力数学模型对影响人体髋关节应力分布关键因素的量化分析,给出导致股骨头产生病变的病理因素。研究结果表明:在人体正常活动范围内,仿真结果与数学模型计算结果趋势与数值吻合度满足要求。For patients, vitro experiment is not feasible and finite element method is more complex. 3D static hip joint biomechanical behaviors were expressed based on mathematics model between biomechanics and geometry parameter. Hip joint surface bearing area, stress distribution and peak contact stress were calculated from mathematical model. Then the same single static hip joint finite element model was developed and analysed. The results including femur surface stress distribution and peak contact stress from finite element simulation were compared to those from mathematical model in order to verify accuracy and universality mathematical model. Finally, femur pathologic mechanism was established based on the quantitative analyses results of mathematical model. The results show that the curve obtained from simulation is similar to the curve from mathematical model in trend and value.

关 键 词：髋关节 接触应力 数学模型 模型验证 有限元法 

分 类 号：TB12[理学—工程力学] R318.01[理学—力学]