Numerical aspects of the extended finite element method

YU Tian-tang

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Numerical aspects of the extended finite element method

更新时间：2026-06-25

- Numerical aspects of the extended finite element method
- Vol. 28, Issue S1, (2007)
- 作者机构：
  
  河海大学土木工程学院工程力学系,南京,210098
- 作者简介：
- 基金信息：
- DOI：
  CLC： O242.21
- Online First：28 March 2014，
  
  Published：2007
- 稿件说明：
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YU Tian-tang. Numerical aspects of the extended finite element method[J]. 2007, 28(S1).
DOI：

YU Tian-tang. Numerical aspects of the extended finite element method[J]. 2007, 28(S1). DOI：

摘要

扩展有限元法是一种在常规有限元框架内求解强和弱不连续问题的新型数值方法，其原理是在裂尖附近用一些奇异函数和沿裂纹面用阶跃函数加强传统有限元的基，以考虑跨过裂纹的位移场的不连续，该加强策略允许计算网格独立于不连续体几何。讨论了扩展有限元法的一些数值方面，主要包括：水平集法确定界面和加强节点与加强方式、裂尖加强范围的选择、J积分区域的确定和积分方案等。

Abstract

The extended finite element method(XFEM) is a new numerical method of modeling strong as well as weak discontinuities within a standard finite element framework. The principle consists in enriching the basis of the classical finite element method by some singular functions around the crack tip and by a step function along the crack line to take into account the discontinuity of the displacement field across the crack. This enrichment strategy allows the use of a mesh independent of the discontinuity geometry. Numerical aspects of the XFEM are studied

including the representing of interface and the determination of enriched node and enriched model by level set method by level set method

the selection of enriched domain at the crack tip

the determination of quadrature domain for J integration and the quadrature scheme.

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Related Author

WANG Zhen

YU Tian-tang

Related Institution

College of Mechanics and Materials, Hohai University

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