水利学报2011，Vol.42Issue(11)：1361-1367,7.
重力坝水力劈裂分析的扩展有限元法
An extended finite element method for modeling hydraulic fracturing in gravity dam
摘要
Abstract
Hydraulic fracture is a main inducement leading to high dam failure under the loading of large water pressure. Aiming at the drawback of FEM in modeling hydraulic fracture,an extended finite element method（XFEM） for modeling hydraulic fracturing process in gravity dam is studied. The governing equation of XFEM for hydraulic fracture modeling is derived by building the virtual work principle of the fracture problem considering water pressure loading on the crack surface. Then the implement method of XFEM for hydraulic fracture modeling is deduced,such as numerical integration of discontinuous functions reflecting discontinuity of the crack surface,crack growth criteria,integral method of stress intensity factors,and the modeling method of crack propagation. Finally,the feasibility and superiority of this method are exhibited through numerical analysis of the Xiangjiaba gravity dam with XFEM. Comparing with classical FEM,the crack growth in the gravity dam can be modeled by XFEM without making the crack surface associated to the mesh,without setting dense mesh near the crack tip and without remeshing after crack growth. Thus the disadvantages of hydraulic fracturing analysis with FEM are avoided and the pre-processing work is simplified.关键词
扩展有限元/水力劈裂/重力坝/向家坝/数值分析Key words
extended finite element method/hydraulic fracture/gravity dam/Xiangjiaba gravity dam/numerical analysis分类
建筑与水利引用本文复制引用
董玉文,任青文..重力坝水力劈裂分析的扩展有限元法[J].水利学报,2011,42(11):1361-1367,7.基金项目
国家重点基础研究发展计划（973项目）基金资助项目 （）
重庆交通大学省部共建水利水运工程教育部重点实验室开放基金资助项目 （）
重庆交通大学科研启动经费资助项目 （）
