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BOUNDARY ELEMENT ANALYSIS OF INTERFACE CRACKS

机译:界面裂纹的边界元分析

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摘要

A new boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents an extension of the methodology developed previously by the authors for determination of free-edge generalized stress intensity factors on bimaterial interfaces, which employs displacements and weighted tractions as primary variables. However, in the present work, the characteristic oscillating stress singularity is addressed through the introduction of modified weighting functions and corresponding numerical quadrature formulas. As a result, this boundary-only approach provides extremely accurate mesh-independent solutions for a range of interface crack problems. A number of computational examples are considered to assess the performance of the method in comparison with analytical solutions and previous work on the subject.
机译:开发了一种新的边界元公式,以确定与不同材料之间的界面上的裂纹相关的复杂应力强度因子。这代表了作者先前开发的用于确定双材料界面上的自由边缘广义应力强度因子的方法的扩展,该方法使用位移和加权牵引力作为主要变量。然而,在当前的工作中,通过引入修正的加权函数和相应的数值正交公式来解决特征振荡应力奇异性问题。结果,这种仅边界的方法为一系列界面裂纹问题提供了极其精确的网格无关解决方案。与分析解决方案和该主题的先前工作相比,可以考虑使用许多计算示例来评估该方法的性能。

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