扩展有限元的ABAQUS用户子程序实现  

Implementation of Extended Finite Element Method with ABAQUS User Subroutine

作　　者：谢海[1] 冯淼林[1] 

机构地区：[1]上海交通大学工程力学系,上海200240

出　　处：《上海交通大学学报》2009年第10期1644-1648,1653,共6页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(10772115);教育部归国留学人员基金资助项目

摘　　要：针对裂纹、界面等一类强间断问题,通过在单元的位移插值函数中引入附加增强项,模拟裂尖的奇异性和裂纹面的间断,并借助水平集方法描述和跟踪裂纹面.通过用户子程序UEL在商业软件ABAQUS平台的基础上实现了线弹性扩展有限元法(XFEM)的基本算法.对2个算例进行比较的结果表明,在较粗糙的网格前提下,XFEM对纯Ⅰ型以及Ⅱ、Ⅰ混合型裂纹平面问题的应力计算较常规有限元法(CFEM)达到了较高的精度和准确度.Enriched terms were conducted into element displacement function in order to simulate the singularity of crack tip and discontinuity of crack surface for the extremely discontinuous problems. The level set method was contributed to determine and track the crack tip movement. A user defined subroutine UEL was coded to connect linear extended finite element method （XFEM） with commercial software ABAQUS. Two examples with XFEM were approached to the plane problems of Mode I crack, mixed Mode Ⅰ and Ⅱ crack. It is found that XFEM has higher precision and more accuracy with less mesh than the common finite element method （CFEM）.

关 键 词：工程力学 扩展有限元法 裂纹 单位分解法 

分 类 号：TB121[理学—工程力学]