| 模拟岩石压剪状态下主次裂纹萌生开裂的扩展有限元法 |
| |
| 引用本文： | 师访,高峰,李玺茹,沈晓明.模拟岩石压剪状态下主次裂纹萌生开裂的扩展有限元法[J].岩土力学,2014,35(6):1809-1817. |
| |
| 作者姓名： | 师访 高峰 李玺茹 沈晓明 |
| |
| 作者单位： | 1.中国矿业大学 深部岩土力学与地下工程国家重点实验室，江苏 徐州 221116； 2.中国矿业大学 力学与建筑工程学院，江苏 徐州 221116 |
| |
| 基金项目： | 国家重点基础研究发展计划(973)项目（No. 2011CB201205）；江苏省普通高校研究生科研创新计划基金（No. CXZZ13_0922）。 |
| |
| 摘 要： | 压剪应力状态下,岩石类材料中常见两类裂纹:翼型张拉裂纹和次生压剪裂纹。基于扩展有限元方法(XFEM),提出了模拟压剪裂纹面作用机制的扩展有限元位移增强方案,并给出了扩展有限元法分叉裂纹处理方法,分别用最大周向拉应力准则和Mohr-Coulomb准则判断张拉裂纹和压剪裂纹的萌生和扩展。基于Matlab平台编写了数值计算程序Betaxfem 2D,通过两个算例对所提方案进行了验证,所得结果与有限元法(FEM)计算结果吻合很好。模拟了单轴压缩载荷下含预制闭合裂纹试件的裂纹分叉、扩展过程,与试验结果的对比表明,所提方案可以模拟和预测岩石类材料张拉、压剪交互分叉裂纹的萌生和扩展行为。
|
| 关 键 词： | 扩展有限元法 岩石 分叉裂纹 裂纹扩展 |
| 收稿时间： | 2014-01-09 |
Modeling initiation and propagation of main and secondary cracks of rock under combined compression and shear loading using extended finite element method |
| |
| SHI Fang,GAO Feng,LI Xi-ru,SHEN Xiao-ming.Modeling initiation and propagation of main and secondary cracks of rock under combined compression and shear loading using extended finite element method[J].Rock and Soil Mechanics,2014,35(6):1809-1817. |
| |
| Authors: | SHI Fang GAO Feng LI Xi-ru SHEN Xiao-ming |
| |
| Institution: | 1. State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 2. School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China |
| |
| Abstract: | In rock-type materials, two types of cracks are observed under combined compression and shear loading: the tensile wing cracks, and the frictional secondary cracks. On the basis of the extended finite element method (XFEM), an extended finite element displacement enrichment method to model the interaction of the frictional crack surfaces is given. Besides, an approach to deal with the branched cracks is also presented. The maximum circumferential tensile stress criterion and the Mohr-Coulomb criterion are adopted respectively to predict the initiation and propagation of the tensile cracks and the frictional cracks. A Matlab program Betaxfem 2D has been developed and the proposed methods are verified through two examples; and then the crack bifurcation and propagation processes of the specimens with pre-existing closed fractures under uniaxial compression loading are simulated. The comparison with the experimental results indicates that methods proposed can be used to simulate and predict the initiation and propagation of the interactive tensile and frictional branched cracks in rock-type materials. |
| |
| Keywords: | extended finite element method rock branched crack crack propagation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《岩土力学》浏览原始摘要信息 |
| 点击此处可从《岩土力学》下载免费的PDF全文 |
|
