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扩展有限元法在岩石断裂力学中的应用

王洪建 刘大安 黎立云 赵子江 石晓闪

工程地质学报Issue(3):477-484,8.
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

王洪建 1刘大安 1黎立云 2赵子江 1石晓闪1

作者信息

  • 1. 中国科学院地质与地球物理研究所,中国科学院页岩气与地质工程重点实验室 北京 100029
  • 2. 中国矿业大学力学与建筑工程学院 北京 100083
  • 折叠

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. ()

工程地质学报

OA北大核心CSCDCSTPCD

1004-9665

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