Hypersingular integrals in boundary element fracture analysis
Hypersingular integrals in boundary element fracture analysis
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DOI：
10.1002/nme.1620290603
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发表时间：
1990-05
影响因子：
2.9
通讯作者：
L. Gray;L. F. Martha;A. Ingraffea
中科院分区：
文献类型：
--
作者：
L. Gray;L. F. Martha;A. Ingraffea
最近提出了一种新的通用边界元方法。该方法通过包含一个表示裂纹边界条件的附加积分方程来避免使用多域分解。该技术的主要要求是解析确定由该方程产生的格林函数的某些超奇异积分。为了证明该方法对断裂的适用性，本文对线性弹性三维Navier方程的开尔文解进行了积分计算。给出了用单域边界元分析断裂问题的数值结果。
A new general purpose boundary element method for domains with cracks has been recently developed. This technique avoids the use of a multi-domain decomposition by including an additional integral equation expressing the boundary condition on the crack. The principal requirement of this technique is the analytic determination of certain hypersingular integrals of the Green's function which arise from this equation. In order to establish the applicability of this method for fracture, these integrals are evaluated herein for the Kelvin solution of the three-dimensional Navier equations of linear elasticity. Numerical results for fracture problems using the single-domain boundary element analysis are also presented.