基于均匀化理论的骨小梁损伤刚度

吉林大学学报(工学版) ›› 2004, Vol. ›› Issue (2): 169-173.

• 论文 • 下一篇

基于均匀化理论的骨小梁损伤刚度

朱兴华¹, 侯亚君², 尚禹¹

1. 吉林大学, 机械科学与工程学院, 吉林, 长春, 130022;
2. 沈阳工业学院, 理学院, 辽宁, 沈阳, 110168

收稿日期:2003-09-25 出版日期:2004-04-01
基金资助:
教育部博士学科点专项基金资助项目(20020183026);国家自然科学基金资助项目(10372034);吉林省科技发展计划资助项目(20010527).

Investigation on trabecular bone rigidity based on homogenization theory

ZHU Xing-hua¹, HOU Ya-jun², SHANG Yu¹

1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
2. College of Science, Shenyang Institute of Technology, Shenyang110168, China

Received:2003-09-25 Online:2004-04-01

摘要/Abstract

摘要： 用相对线密度ρ描述骨小梁上裂纹的分布;利用均匀化方法研究了微裂纹的密度、长度和方向对骨小梁刚度的影响。骨小梁的刚度与微裂纹的长度密切相关,当微裂纹长度增加时,与微裂纹垂直方向上的骨小梁刚度下降很快;骨小梁的刚度与微裂纹的密度密切相关,当微裂纹的密度增大时,3个方向上的刚度以相同的比率缓慢下降,以对与裂纹垂直方向的E影响最大;骨小梁的刚度与裂纹的方向也有密切关系。松质骨的力学性质与其微结构和骨小梁的力学性质有关;松质骨的损伤主要与骨小梁的损伤和损伤分布有关。

关键词: 骨小梁, 微裂纹, 弹性模量, 均匀化方法

Abstract: The homogenization theory was used to discuss the rigidity of the trabecular bone. The rigidity of the trabecular bone depended fundamentally on the length and the density of the microcracks. The rigidity in three directions decreased at the same rate as the density of the microcracks increases, which affectd the elastic modulus E in the direction perpendicular to microcrack most deeply.The extended direction of microcrack also affectd the rigidity of the trabecular bone. The mechanical characteristic of cancellous bone depended on the microstructure and the mechanical characteristic of the trabecular bone. The damage of cancellous bone mainly depended on the damage of trabecular bone and distribution of the microcracks on trabecular bone.

Key words: trabecular bone, microcrack, elastic modulus, homogenization method

中图分类号:

朱兴华, 侯亚君, 尚禹. 基于均匀化理论的骨小梁损伤刚度[J]. 吉林大学学报(工学版), 2004, (2): 169-173.

ZHU Xing-hua, HOU Ya-jun, SHANG Yu. Investigation on trabecular bone rigidity based on homogenization theory[J]. 吉林大学学报(工学版), 2004, (2): 169-173.

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