工程地质学报Issue(3):477-484,8.DOI:10.13544/j.cnki.jeg.2015.03.015
扩展有限元法在岩石断裂力学中的应用
APPLICATION OF EXTEND FINITE ELEMENT METHOD TO ROCK FRACTURE MECHANICS
摘要
Abstract
Rock crack propagation cannot be simulated with conventional finite element method because it is a classic discontinuity problem.Extended finite element method(XFEM)can implement the mutual independence of computational grid and discontinuity.So there is no need to re-mesh the grid model for moving discontinuity simulation.This paper introduces the basic principles of XFEMand universal criterion for rock fracture mechanics. It utilizes XFEMto simulate I mode and II mode fracture in three-point bending test as well as the double-crack shear fracture test.All the obtained results indicate that using XFEMto simulate rock fracture cannot be restrained by mesh generation and the cracks propagate randomly according to the actual stress distribution.The whole process of micro crack generation and evolution until the final total destruction of rock can be directly observed,which have great agreement with laboratory test results.This method has demonstrated its ability to investigate rock fracture mechanics and to simulate rock macroscopic and microscopic fracture process.It provides a convenient way for complex issues solution.关键词
岩石断裂力学/扩展有限元/裂纹扩展/单元划分Key words
Rock fracture mechanics/Extended finite element method/Crack propagation/Unit division分类
建筑与水利引用本文复制引用
王洪建,刘大安,黎立云,赵子江,石晓闪..扩展有限元法在岩石断裂力学中的应用[J].工程地质学报,2015,(3):477-484,8.基金项目
国家自然科学基金项目(41172270),战略性先导科技专项(B 类)(XDB10050200)和国家重点基础研究发展计划(2010CB226802)资助. ()