• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Finite elements in analysis & design >Reformulation of XFEM based on PUFEM for solving problem caused by blending elements
【24h】

Reformulation of XFEM based on PUFEM for solving problem caused by blending elements

机译：基于PUFEM的XFEM的重新表述，以解决混合元素引起的问题

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 lack of numerical accuracy in the standard extended finite element method (XFEM) is caused by 'blending elements', whose nodes are partially enriched. 'The corrected XFEM' proposed by Fries showed the effective improvement of this problem with a lot of numerical results. The theoretical approach of this proposal was however not sufficiently described. In the present paper, an approximation of the XFEM is reformulated based on the concept of the partition of unity finite element method (PUFEM) approximation, which assures the numerical accuracy in the entire domain, for solving the problem of blending elements. The form of the reformulated XFEM results in the coincidence with that of the corrected XFEM. It is therefore found out that the theoretical validation of the corrected XFEM is based on the PUFEM approximation. It is also found out that the problem of the blending elements in the application to two dimensional linear fracture mechanics has been sufficiently solved for actual use by the XFEM based on the PUFEM.
机译：标准扩展有限元方法（XFEM）中数值精度的不足是由“混合元素”引起的，其节点被部分填充。 Fries提出的“校正的XFEM”通过大量数值结果有效地解决了该问题。然而，该建议的理论方法未得到充分描述。在本文中，基于统一有限元方法（PUFEM）近似的划分概念，重新定义了XFEM的近似值，从而确保了整个域的数值精度，从而解决了混合元素的问题。重新格式的XFEM的形式导致与更正的XFEM的形式一致。因此，发现校正的XFEM的理论验证是基于PUFEM近似的。还发现，基于PUFEM的XFEM已经充分解决了在二维线性断裂力学中的应用中混合元素的问题。

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