骨单位密质骨含单条曲线微裂纹模型  

Osteonal Cortical Bone Model with a Curved Microcrack

作　　者：王旭 汪文帅 丁生虎 WANG Xu;WANG Wen-shuai;DING Sheng-hu(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021

出　　处：《数学的实践与认识》2021年第8期173-177,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11762017,11762016,42064004,12062021);宁夏自然科学基金(2019AAC03037)。

摘　　要：研究了骨单位附近密质骨间质骨含单条曲线微裂纹平面问题.该问题的求解可看成间质骨不含微裂纹和间质骨含微裂纹这两个基本问题的叠加.利用Kolosov Muskhelishvili复势,得到了间质骨不含微裂纹问题的应力场;利用位错方法,得到了间质骨含微裂纹问题所满足的积分方程组.The plane problem for a curved microcrack located in the interstitial bone in the vicinity of the osteon is considered.The solution of the problem can be expressed as the linear sum of two basic problems:the interstitial bone without the microcrack and the interstitial bone with the microcrack.Using Kolosov-Muskhelishvili complex potentials,the stress fields for the problem of the interstitial bone without the microcrack are formulated.The system of integral equations satisfying the problem of the interstitial bone with the microcrack may be obtained by using the dislocation technique.

关 键 词：骨单位密质骨 微裂纹 位错 积分方程 

分 类 号：R68[医药卫生—骨科学]