人体胫骨骨裂三型耦合裂纹数值模拟研究  

Study on Numerical Simulation of Fractured Tibia Human Type Three Coupling Crack

作　　者：孟庆华[1,2] MENG Qing-hua(School of Education and Psychology,Tianjin University of Sport,Tianjin 300381,China;Tianjin Key Laboratory of Exercise Physiology and Sports Medicine,Tianjin University of Sport 300381,China)

机构地区：[1]天津体育学院教育与心理学院 [2]天津体育学院天津市运动生理与运动医学重点实验室

出　　处：《数学的实践与认识》2018年第13期300-306,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11372223,11102135);天津市自然科学基金重点项目(17JCZDJC36000)

摘　　要：采用断裂力学的最大周向应力理论对人体胫骨复合型裂纹进行分析，建立Ⅰ—Ⅱ—Ⅲ型耦合裂纹数学模型，提出一种计算裂纹开始扩展临界状态时所对应的位移和应力的有限元计算方法，对三型耦合裂纹位移进行仿真分析．研究工作对加强骨病探伤，提高裂纹检测技术水平，及时发现裂纹失稳及扩展情况，尽量减少裂纹对骨结构的破坏，有积极推动作用；对解决我国骨结构非线性断裂问题具有重要的理论指导意义和实际应用价值．The maximum circumferential stress to the fracture mechanics theory of human tibia complex crack is analyzed, the mathematical Ⅰ-Ⅱ-Ⅲ coupling crack model, this paper proposes a method to calculate crack displacement began to expand the critical state and the finite element stress calculation method of type three coupling simulation analysis of displacement of crack. The research work has a positive role in strengthening bone defect detection, improving the level of crack detection technology, timely detection of crack instability and expansion, and minimizing the damage of cracks on bone structure; It has important theoretical guiding significance and practical application value to solve the nonlinear fracture problem of bone structure in our country.

关 键 词：人体胫骨 三型耦合 裂纹 数值模拟 

分 类 号：O346.1[理学—固体力学]