单轴拉伸载荷下骨单位含径向微裂纹的密质骨力学模型OA

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.