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首页> 外文会议>IUTAM Symposium on Multiscale Modelling of Damage and Fracture Processes in Composite Materials; 20050523-27; Dolny(PL) >STRESS FIELD SINGULARITIES FOR REINFORCING FIBRE WITH A SINGLE LATERAL CRACK
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STRESS FIELD SINGULARITIES FOR REINFORCING FIBRE WITH A SINGLE LATERAL CRACK

机译：单侧向裂纹增强纤维的应力场奇异性

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摘要

In the paper stress field singularities at the tip of a reinforcing fibre with a single lateral crack subjected to normal - transverse and longitudinal - and shearing loading are analysed. The analytical solution to this plane problem of elasticity has shown three different real values of stress field exponents that may produce singular effects near the tip. Numerical results of the FEM solution have shown that two singular values are related with K_Ⅱ and the third corresponds to K_Ⅰ. Analytical solutions of stress and displacement field components are available in the polar coordinate system, as a function of independent, conveniently defined stress intensity factors. A particular numerical solution to this problem obtained using the FEM, for a fibre of arbitrarily chosen length, served as a verification of the accuracy, determination of its range of validity and as a tool for obtaining numerical values of stress intensity factors for different loading conditions.
机译：在纸中，分析了具有单个横向裂纹的增强纤维尖端的法向奇点，该单个横向裂纹承受法向（横向和纵向）和剪切载荷。对该平面弹性问题的解析解决方案显示了应力场指数的三个不同实际值，这些实际值可能在尖端附近产生奇异效应。有限元分析的数值结果表明，两个奇异值与K_Ⅱ有关，第三个奇异值与K_Ⅰ有关。极坐标系中提供了应力和位移场分量的解析解，这是独立且方便定义的应力强度因子的函数。对于任意长度的光纤，使用有限元法解决此问题的特定数值解决方案可用来验证精度，确定其有效范围，并且可作为获得不同载荷条件下应力强度因子数值的工具。

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