• 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 >Numerical analysis of multi-crack large-scale plane problems with adaptive cross approximation and hierarchical matrices
【24h】

Numerical analysis of multi-crack large-scale plane problems with adaptive cross approximation and hierarchical matrices

机译：自适应交叉逼近和分层矩阵的多裂纹大规模平面问题的数值分析

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

The problem of interaction of large number of cracks in a plate is considered by the method of singular integral equations (SIE). The corresponding system of SIE is solved by using Gauss-Chebyshev quadratures, which results in a large system of linear algebraic equations. The solution of the latter employs the adaptive cross approximation (ACA) technique that has not previously been applied for studying multi-crack large-scale plane problems. Therefore, several benchmarks problems with large number of cracks modelling periodical arrangements have been tested to investigate performance of the method; these include arrays of collinear cracks, parallel cracks, and double network of parallel cracks. Comparisons with analytical and numerical periodical solutions available for the mentioned cases reveal high accuracy and fast performance of the method. It is also applied for studying effective characteristics of bodies with up to 20,000 cracks and for accurate modelling of interaction of a macrocrack with thousands of microcracks.
机译：通过奇异积分方程（SIE）方法考虑了板中大量裂纹相互作用的问题。 SIE的相应系统是通过使用Gauss-Chebyshev积分来求解的，这导致了大型的线性代数方程组。后者的解决方案采用了自适应交叉逼近（ACA）技术，该技术以前尚未用于研究多裂纹大规模平面问题。因此，已经测试了具有大量裂纹建模定期排列的几个基准问题，以研究该方法的性能。这些包括共线裂缝，平行裂缝和平行裂缝的双重网络阵列。与可用于上述情况的分析和数值周期解的比较表明，该方法具有较高的准确性和快速的性能。它也可用于研究多达20,000个裂纹的物体的有效特性，以及用于精确建模宏观裂纹与数千个微裂纹的相互作用的方法。

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