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Boundary element modeling of cracks in piezoelectric solids

机译：压电固体中裂纹的边界元建模

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摘要

This study focuses on the application of boundary element methods for linear fracture mechanics of two--dimensional piezoelectric solids. A complete set of piezoelectric Green's functions, based on the extended Lekhnitskii's formalism and distributed dislocation modeling, are presented. Special Green's functions are obtained for an infinite medium containing a conducting crack or an impermeable crack. The numerical solution of the boundary integral equation and the computation of fracture parameters are discussed. The concept of crack closure integral is utilized to calculate energy release rates. Accuracy of the boundary element solutions is confirmed by comparing with analytical solutions reported in the literature. The present scheme can be applied to study complex cracks such as branched cracks, forked cracks and microcrack clusters.
机译：这项研究的重点是边界元方法在二维压电固体线性断裂力学中的应用。基于扩展的Lekhnitskii的形式主义和分布式位错模型，提出了一套完整的压电格林函数。对于包含导电裂纹或不可渗透裂纹的无限介质，可以获得特殊的格林函数。讨论了边界积分方程的数值解和断裂参数的计算。裂纹闭合积分的概念用于计算能量释放速率。通过与文献报道的分析解决方案进行比较，可以确定边界元素解决方案的准确性。本方案可用于研究复杂的裂纹，如分支裂纹，分叉裂纹和微裂纹团簇。

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