| 摘要: |
| 哈弗斯皮质骨的断裂微观力学已被提出，在骨中由于疲劳负荷和循环载荷形成微裂纹，有研究者利用二维力学纤维陶瓷基复合材料模型，针对间骨板中出现任一径向直线裂纹的问题，研究了骨单位与裂纹间的相互作用；为更真实模拟骨裂纹的情形，研究了骨单位和间骨板中同时出现一条直线裂纹的情况，通过将裂纹看作一系列连续韧性位错的塞积群，运用格林函数转化为一系列奇异积分方程，然后通过Erdogon和Gupta方法求解方程，并用高斯-切比雪夫数值离散求得相应的应力强度因子，分析对骨微结构形态的影响。 |
| 关键词: 哈弗斯皮质骨 微裂纹 刃型位错 奇异积分方程 应力强度因子 |
| DOI： |
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| Research on Radial Vertical Rupture of Haversion Cortical Bone |
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YAN Wei wen, ZHAO Yan nan
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| Abstract: |
| The micromechanics of the rupture of Haversion cortical bone has been pointed out, the microcracks form in Haversion cortical bone owing to fatigue load and cyclic load. Based on two dimensional micromechanical fibre ceramic matrix composite tissue material model, some researchers study the interaction between osteon and their cracks according to any radial vertical rupture in interstitial lamella. In order to more practical simulate bone rupture, this paper mainly studies that a straight line rupture simultaneously appears in osteon and inter bone lamella, regards cracks as a series of continuous edge dislocation pile up group, then uses Green function to transform them into a series of singular integral equations, then uses Erdogon and Gupta method to solve the equations, uses Gaussian Chebyshev numerical discrete method to obtain corresponding stress intensity factor and analyzes the influence on bone microstructure morphology. |
| Key words: Haversion cortical bone microcrack edge dislocation singular integral equation stress intensity factor |
