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Kinked Cracks at the Interface of Two Bonded Anisotropic Elastic Media under Antiplane Shear -Generalized Stress Intensity Factors at the Kinked Crack Vertex-

机译:反平面剪切作用下两种粘结各向异性弹性介质界面的弯曲裂纹-弯曲裂纹顶点处的广义应力强度因子-

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摘要

The kinked crack, which is reflecting back into the first medium at the interface of two bonded anisotropic media under antiplane shear loading, is analyzed by using the singular point method of complex potential functions. The crack is modeled by means of continuous distributions of dislocations, and a system of singular integral equations with generalized Cauchy kernels is obtained. The vertex of the kinked crack has the different stress singularity from that of the tips of the kinked crack. Taking account of this stress singularity of the vertex as well as the stress singularity of the kinked crack tips, the singular integral equations are solved numerically. Numerical results of the generalized stress intensity factors of the vertex of the kinked crack are shown in figures, and the influences of anisotropy of the media, the kinked crack angle, and the ratio of crack length of the kinked crack are clarified.
机译:通过使用复数势函数的奇异点方法分析了在反平面剪切载荷作用下在两个粘结各向异性介质界面处反射回第一介质的扭结裂纹。利用位错的连续分布对裂纹进行建模,得到具有广义柯西核的奇异积分方程组。扭结裂纹的顶点具有与扭结裂纹的尖端不同的应力奇异性。考虑到顶点的这种应力奇异性以及扭结裂纹尖端的应力奇异性,对奇异积分方程进行了数值求解。图中显示了扭结裂纹顶点的广义应力强度因子的数值结果,阐明了介质的各向异性,扭结裂纹角度和裂缝长度的比值的影响。

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