...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Engineering analysis with boundary elements >Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations
【24h】

Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations

机译：超奇异边界积分方程数值解的CPV积分具有奇异的端和角奇点近似

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A local numerical approach to cope with the singular and hypersingular boundary integral equations (BIEs) in non-regularized forms is presented in the paper for 2D elastostatics. The approach is based on the fact that the singular boundary integrals can be represented approximately by the mean values of two nearly singular boundary integrals and on the techniques of distance transformations developed primarily in previous work of the authors. The nearly singular approximations in the present work, including the normal and the tangential distance transformations, are designed for the numerical evaluation of boundary integrals with end-singularities at junctures between two elements, especially at corner points where sufficient continuity requirements are met. The approach is very general, which makes it possible to solve the hypersingular BIE numerically in a non-regularized form by using conforming C~0 quadratic boundary elements and standard Gaussian quadratures without paying special attention to the corner treatment. With the proposed approach, an infinite tension plate with an elliptical hole and a pressurized thick cylinder were analyzed by using both the formulations of conventional displacement and traction boundary element methods, showing encouragingly the efficiency and the reliability of the proposed approach. The behaviors of boundary integrals with end- and corner-singular kernels were observed and compared by the additional numerical tests. It is considered that the weakly singularities remain but should have been cancelled with each other if used in pairs by the corresponding terms in the neighboring elements, where the corner information is included naturally in the approximations.
机译：本文针对二维弹性静力学提出了一种局部数值方法，用于处理非正则形式的奇异和超奇异边界积分方程（BIE）。该方法基于以下事实：奇异边界积分可以近似地由两个近似奇异边界积分的平均值表示，并且基于主要在作者先前的工作中开发的距离变换技术。在本工作中，包括法向和切向距离转换在内的几乎奇异的近似值被设计用于数值评估两个元素之间的交点处具有端奇异性的边界积分，尤其是在满足足够连续性要求的拐角处。该方法非常通用，它可以通过使用一致的C〜0二次边界元素和标准高斯积分来以非正则形式数值求解超奇异BIE，而无需特别注意拐角处理。利用所提出的方法，通过使用常规位移法和牵引力边界元方法的公式，分析了具有椭圆孔和加压厚圆柱体的无限张力板，令人鼓舞地显示了所提出方法的效率和可靠性。观察并比较了带有端奇异点和角奇异核的边界积分的行为。认为弱奇异性仍然存在，但如果由相邻元素中的相应项成对使用，则应该相互抵消，其中拐角信息自然包含在近似值中。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号