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。
A virtual node method for coupling the eXtended Finite Element Method （XFEM） with commercial 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. The computational 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 with commercial finite element software proposes an efficient way for solving practical complex problem using XFEM.
出处
《工程力学》
EI
CSCD
北大核心
2007年第7期6-10,共5页
Engineering Mechanics
基金
国家自然科学基金资助项目(90510018
50539020)
关键词
单位分解
扩展有限元
虚节点
开裂过程
移动非连续
partition of unity
extended finite element method
virtual node
fracture process
moving discontinuities
