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Boundary element analysis of the stress intensity factors of plane interface cracks between dissimilarly adjoined anisotropic materials

机译：异种相接的各向异性材料平面界面裂纹应力强度因子的边界元分析

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For assuring structural integrity, the study of interface cracks has remained to be an important topic in engineering analysis. It is well known to have stresses with oscillatory singularity in the vicinity of crack tips between dissimilarly adjoined anisotropic materials. The present works targets plane analysis of the stress intensity factors (SIF) of interface cracks by the boundary element method (BEM). For modeling multiply adjoined domains, the conventional sub-region technique in the BEM is applied. For calculating the SIF of interface cracks, the path-independent H-integral is evaluated by the solutions of stresses and displacements at internal points along the integration path in each irrespective domain. For resolving the problem of near singularity when the internal Gauss points are close to the interfaces or crack surfaces, all boundary integrals are regularized to calculate the displacements and stresses at the internal points. From a few examples tested, the approach is verified to be very efficient for accurate assessment of the SIFs of interface cracks between dissimilarly adjoined anisotropic materials.
机译：为了保证结构的完整性，界面裂纹的研究一直是工程分析中的重要课题。众所周知，在异种相连的各向异性材料之间的裂纹尖端附近具有振荡奇异的应力。本工作的目标是通过边界元方法（BEM）对界面裂纹的应力强度因子（SIF）进行平面分析。为了对多个邻接域建模，应用了BEM中的常规子区域技术。为了计算界面裂纹的SIF，通过在每个区域中沿积分路径的内部点处的应力和位移的解来评估与路径无关的H积分。为了解决内部高斯点靠近界面或裂纹表面时接近奇点的问题，对所有边界积分进行正则化以计算内部点的位移和应力。从测试的几个示例中，可以证明该方法非常有效，可以准确评估异种连接的各向异性材料之间的界面裂纹的SIF。

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