哈弗氏密质骨含单条径向微裂纹问题的奇异积分方程数值解法

研究了在双轴拉伸载荷下哈弗氏密质骨间质骨含单条径向微裂纹的平面应变问题.通过利用奇异积分方程方法,得到了该问题所满足的奇异积分方程组,给出了微裂纹尖端应力强度因子的表达式.数值计算讨论了哈弗氏密质骨的材料和几何参数对微裂纹尖端应力强度因子的影响.数值结果表明软骨单位促进微裂纹扩展,而硬骨单位抑制微裂纹扩展,但这种影响仅局限在骨单位附近.

Numerical Solution of the Singular Integral Equation for the Problem of the Haversian Cortical Bone with a Radial Microcrack

In this paper,the plane strain problem for the Haversian cortical bone with a radial microcrack in the interstitial bone under biaxial tension loading is considered. By using the singular integral equation method,the problem is formulated into a system of singular integral equations and the corresponding stress intensity factor is formulated. The effects of the material and the geometric parameters of the Haversian cortical bone upon the microcrack tip''s stress intensity factor are numerically studied. The numerical results suggest that when the osteon is softer than the interstitial bone the osteon prompts the microcrack propagation,while when the osteon is stiffer than the interstitial bone the osteon repels microcrack propagation. However,this interaction effect is limited near the osteon.