宁夏大学学报（自然科学版中英文）2026，Vol.47Issue(2)：97-103,7.DOI:10.20176/j.cnki.nxdz.20260203
单轴拉伸载荷下骨单位含径向微裂纹的密质骨力学模型
Mechanical Model of Cortical Bone with Radial Microcrack in Osteon Under Uniaxial Tensile Load
摘要
Abstract
This paper investigates the mechanical behavior of Haversian cortical bone by establishing a plane mechanical model of cortical bone containing a single radial microcrack.Based on linear elastic fracture mechan-ics and crystal dislocation theory,the mathematical expression of the stress field in the osteon is derived,and a set of singular integral equations related to the stress intensity factor is constructed.Through numerical exam-ples,the influence of osteon size,shear modulus ratio,and the location and length of the microcrack on the stress intensity factor at the microcrack tip is systematically studied.The numerical results indicate that increas-ing the shear modulus ratio between the osteon and the interstitial bone is key to inhibiting crack propagation.Moreover,as the crack approaches the cement line,this inhibitory effect is further enhanced due to the geomet-ric shielding effect.This study provides a theoretical basis for the design of biomimetic materials in biomedical engineering.关键词
骨单位/Haversian密质骨/微裂纹/位错力学理论/奇异积分方程Key words
osteon/Haversian cortical bone/microcrack/dislocation theory/singular integral equation分类
数理科学引用本文复制引用
王玉林,韩惠丽,闫洁..单轴拉伸载荷下骨单位含径向微裂纹的密质骨力学模型[J].宁夏大学学报（自然科学版中英文）,2026,47(2):97-103,7.基金项目
宁夏自然科学基金资助项目(2023AAC03334) （2023AAC03334）
国家自然科学基金资助项目(62566048) （62566048）
