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A regularized boundary integral equation method for elastodynamic crack problems

机译:弹性动力裂纹问题的正则化边界积分方程方法

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This paper presents a double layer potential approach of elastodynamic BIE crack analysis. Our method regularizes the conventional strongly singular expressions for the traction of double layer potential into forms including integrable kernels and 0th, 1st and 2nd order derivatives of the double layer density. The manipulation is systematized by the use of the stress function representation of the differentiated double layer kernel functions. This regularization, together with the use of B-spline functions, is shown to provide accurate numerical methods of crack analysis in 3D time harmonic elastodynamics.
机译:本文提出了一种弹性动力学BIE裂纹分析的双层势方法。该方法将双电层势牵引的传统强奇异表达式正则化为包括可积核和双层密度的0阶、1阶和2阶导数的形式。通过使用微分双层核函数的应力函数表示,该操作被系统化。这种正则化与B样条函数的使用一起,为三维时间谐波弹性动力学中的裂纹分析提供了准确的数值方法。

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