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冰川冻土 ›› 2020, Vol. 42 ›› Issue (2): 532-539.doi: 10.7522/j.issn.1000-0240.2019.1015

• 寒区工程与灾害 • 上一篇    下一篇

基于扩展有限元方法的裂隙岩体冻胀力理论与数值研究

马伟1,2(), 谭贤君1(), 陈卫忠1,3, 周云1,2   

  1. 1.中国科学院 武汉岩土力学研究所 岩土力学与工程国家重点实验室, 湖北 武汉 430071
    2.中国科学院大学, 北京 100049
    3.山东大学 岩土与结构工程研究中心, 山东 济南 250061
  • 收稿日期:2019-01-24 修回日期:2019-04-14 出版日期:2020-08-31 发布日期:2020-09-14
  • 通讯作者: 谭贤君 E-mail:1945216378@qq.com;xjtan@whrsm.ac.cn
  • 作者简介:马伟(1994 - ), 男, 甘肃临夏人, 2016年在中南大学获学士学位, 现为中国科学院武汉岩土力学研究所在读硕士研究生, 从事寒区裂隙岩体冻胀破坏研究. E-mail: 1945216378@qq.com
  • 基金资助:
    国家自然科学基金项目(51922104);国家重点基础研究发展计划(973计划)项目(2015CB057906)

Theoretical and numerical studies on frost heaving pressure in fractured rock based on extended finite element method

Wei MA1,2(), Xianjun TAN1(), Weizhong CHEN1,3, Yun ZHOU1,2   

  1. 1.State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan 430071,China
    2.University of Chinese Academy of Sciences,Beijing 100049,China
    3.Geotechnical and Structural Engineering Research Center,Shandong University,Jinan 250061,China
  • Received:2019-01-24 Revised:2019-04-14 Online:2020-08-31 Published:2020-09-14
  • Contact: Xianjun TAN E-mail:1945216378@qq.com;xjtan@whrsm.ac.cn

摘要:

为研究寒区裂隙岩体内冻胀力的变化规律, 从单裂隙入手, 基于弹性力学、 水冰相变理论以及质量守恒关系, 建立了考虑未冻水含量及水分迁移的冻胀力求解模型; 利用MATLAB平台编制程序, 采用扩展有限元方法(XFEM)计算得到了裂隙内冻胀力随冻结时间的演化规律。采用有效体积膨胀系数法计算得到的冻胀力数值解与理论模型计算结果以及其他学者的试验结果吻合较好, 并分析了水冰相变下裂隙尖端应力场, 数值计算结果与理论解吻合较好, 验证了数值方法的可靠性; 通过分析影响冻胀力发展的因素, 指出岩石弹性模量和裂隙几何形状是控制裂隙内冻胀力演化的两个重要因素。

关键词: 裂隙岩体, 冻胀力, 水分迁移, 有效体积膨胀系数

Abstract:

In order to study the frost heaving pressure in fractured rock in cold regions, based on the elastic mechanics and phase transition theory, an analytical model for frost heaving pressure in a single fracture is established considering water migration and the content of unfrozen water; the evolution of frost heaving pressure in a single fracture is obtained by using the extended finite element method (XFEM) based on MATLAB program. The frost heaving pressure is also calculated by the method of effective coefficient of volume expansion and the result is in good agreement with the analytical solution and the other experimental results. Then the crack-tip stress is analyzed and the results are also in good agreement with the theoretical values, which validates the reliability of this numerical method. Finally, it found that the elastic module and the shape characteristics of fracture are two crucial parameters to analyze the main influencing factors affecting the development of frost heaving pressure.

Key words: fractured rock, frost heaving pressure, water migration, effective coefficient of volume expansion

中图分类号: 

  • TU45