文档介绍：第 24 卷第 7 期工程力学
2007 年 7 月 July 2007 ENGINEERING MECHANICS 6
文章编号:1000-4750(2007)07-0006-05
基于 ABAQUS 平台的扩展有限元法
方修君,*金峰
(清华大学水沙科学与水利水电工程国家重点实验室,北京 100084)
摘要:以 ABAQUS 为平台,提出了一种预设虚节点法,首次在通用有限元程序上嵌入了扩展有限元法的功能。
推导了扩展有限元法中的子域积分同 Heaviside 函数的关系,并改进了一种三角形子域积分算法。对三点弯梁的
开裂过程进行了模拟。计算结果表明,扩展有限元法对非连续位移场的表达不依赖于单元边界,是一种模拟裂纹
扩展过程等涉及移动非连续问题的有效方法。与通用有限元软件的结合则为应用该方法解决实际复杂问题提供了
方便的途径。
关键词:单位分解;扩展有限元;虚节点;开裂过程;移动非连续
中图分类号:TV313 文献标识码:A
EXTENDED FINITE ELEMENT METHOD BASED ON ABAQUS
FANG Xiu-jun, *JIN Feng
(State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China)
Abstract: A virtual node method for coupling the eXtended Finite Element Method (XFEM) mercial
finite element software ABAQUS is presented. The relationship between the subdomain integration and the
Heaviside function is formulated, and a subtriangle integration algorithm is improved. The brittle fracture process
of a 3-point bending beam was simulated. putational results demonstrate the capacity of the presented
method to simulate the moving discontinuities. Crack path is not necessary to coincide with element boundaries in
XFEM and re-meshing can be avoided. The coupling mercial finite element software proposes an
efficient way for solving plex problem using XFEM.
Key words: partition of unity; extended finite element method; virtual no