›› 2018, Vol. 39 ›› Issue (3): 1091-1099.doi: 10.16285/j.rsm.2017.0743

• 数值分析 • 上一篇    下一篇

基于二阶功准则的岩质滑坡准静态-动态转化数值分析

吕 谦1, 2,张 云3,李兆华 1, 2,陶志刚1, 2, 4,何满潮1, 2   

  1. 1. 中国矿业大学 力学与建筑工程学院,北京 100083;2. 中国矿业大学(北京) 深部岩土力学与地下工程国家重点实验室,北京 10083; 3. 河北水力电力学院 土木工程系,河北 沧州 061001;4. 绍兴文理学院 岩石力学与地质灾害实验中心,浙江 绍兴 312009
  • 收稿日期:2017-04-25 出版日期:2018-03-12 发布日期:2018-06-06
  • 通讯作者: 李兆华,男,1985年生,博士,讲师,主要从事边坡监测、预警、理论、数值模拟分析方面的研究。E-mail: lizheng6224166@126.com E-mail: lvqian1009@126.com
  • 作者简介:吕谦,男,1987年生,博士研究生,主要从事边坡监测、预警和锚杆力学性能方面的研究。
  • 基金资助:

    国家自然科学基金项目(No.41502323)。

Quasi-static-dynamic transformation numerical analysis of rock landslide based on the second-order work criterion

LÜ Qian1, 2, ZHANG Yun3, LI Zhao-hua1, 2, TAO Zhi-gang1, 2, 4, HE Man-chao1, 2   

  1. 1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 10083, China; 2. State Key Laboratory for Geomechanics and Deep Underground Engineering Beijing 100083, China; 3. Department of Civil Engineering, Hebei University of Water Resources and Electric Engineering, Cangzhou, Hebei 061001, China; 4. Genter of Rock Mechanics and Geohazards, Shaoxing University, Shaoxing, Zhejiang 312009, China
  • Received:2017-04-25 Online:2018-03-12 Published:2018-06-06
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (41502323).

摘要: 地质不连续带的破坏往往对岩质边坡的失稳起控制性作用。二阶功破坏准则可以分析除振颤失稳外的所有材料失稳问题,因此,利用该准则分析了岩体不连续带的材料失稳破坏问题。首先从数学上解释了使用二阶功分析二维地质不连续带的优势;而后将二阶功破坏准则引入FLAC有限差分计算软件,并根据相关监测数据对南芬铁矿岩质滑坡进行了二维数值分析。滑坡是一个准静态到动态的转化过程,动能的突然爆发标志着准静态-动态转化的发生。二阶功和二阶动能之间存在直接关系,据此关系估算出的南芬铁矿岩质边坡动能演化曲线可以证明二阶功对岩土材料失稳破坏判别的有效性。

关键词: 滑坡, 地质不连续带, 准静态-动态转换, 分岔失稳, 动能, 二阶功

Abstract: The failure of geological discontinuities often plays a significant role in controlling the failure of a rockslide. The second order work criterion can be used to analyse physical instabilities, except flutter instabilities. Hence, this study was to investigate the instabilities of geological discontinuities using the second order work criterion. First, regarding the instability of the major geological discontinuity, the advantage of this failure criterion was explained in mathematical approach; Second, the criterion was implemented into the FLAC finite-difference calculation software, and a two-dimensional numerical analysis was carried out to predict the occurrence of the rockslide in Nanfen Iron Mine, according to the corresponding monitoring data. Rockslides can be considered as a quasi-static to the dynamic transition, in which the sudden burst of kinetic energy indicates the occurrence of quasi-static-dynamic transition. Moreover, there is a direct relationship between the second order work and the second order kinetic energy. Therefore, the kinetic energy evolution curve can be estimated, which can prove the validity of the second-order work on identifying the failure of the rockslide.

Key words: rockslide, geological discontinuity, static-dynamic transition, bifurcation instability, kinetic energy, second order work

中图分类号: 

  • TU 457

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