On the plastic zone size and crack tip opening displacement of a sub-interface crack in an infinite bi-material plate
On the plastic zone size and crack tip opening displacement of a sub-interface crack in an infinite bi-material plate
复制标题
DOI：
10.1080/14786435.2011.586374
复制
发表时间：
2011-08
影响因子：
1.6
通讯作者：
D. Yi;Z. Xiao;J. Zhuang;I. Sridhar
中科院分区：
文献类型：
--
作者：
D. Yi;Z. Xiao;J. Zhuang;I. Sridhar
对小范围屈服的亚界面裂纹的塑性区尺寸和裂纹尖端张开位移进行了弹塑性应力分析。在我们的研究中，塑性区的形状被假定为一个长的，细长的带在两个裂纹尖端。在塑性区，正应力和剪应力都存在，并被认为是由于双材料界面。塑性区尺寸、正应力和剪应力的值通过满足其中模式I和II应力强度因子均为零且满足Von Mises屈服准则的条件来确定。在本文中，亚界面裂纹模拟连续分布的位错，这将导致奇异积分方程。这些奇异积分方程可以通过将其化为一组线性方程组来求解。塑性区尺寸和裂纹尖端张开位移的值通过迭代过程获得。最后讨论了归一化载荷、归一化裂纹深度（到界面的距离）和Dundurs参数对归一化塑性区尺寸和归一化裂纹尖端张开位移的影响。
Elastic–plastic stress analysis has been carried out for the plastic zone size and crack tip opening displacement of a sub-interface crack with small scale yielding. In our study, the shape of plastic zone is assumed as a long, slim strip at both crack tips. In the plastic zone, both normal stress and shear stress exist and are considered due to the bi-material interface. The values of the plastic zone size, normal stress and shear stress are determined by satisfying the conditions where both Modes I and II stress intensity factors vanish and Von Mises yield criterion is met. In the present paper, the sub-interface crack is simulated by continuously distributed dislocations which will result in singular integral equations. Those singular integral equations can be solved by reducing them to a set of linear equations. The values of the plastic zone size and crack tip opening displacement are obtained through an iterative procedure. Finally, the effect of normalized loading, normalized crack depth (distance to the interface) and Dundurs’ parameters on the normalized plastic zone size and the normalized crack tip opening displacement is discussed.