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

Lü Qian; ZHANG Yun; LI Zhao-hua; TAO Zhi-gang; HE Man-chao

doi:10.16285/j.rsm.2017.0743

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

更新时间：2026-06-25

- Quasi-static-dynamic transformation numerical analysis of rock landslide based on the second-order work criterion
- Vol. 39, Issue 3, Pages: 1091-1099(2018)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.0743
  CLC： TU457
- Online First：06 June 2018，
  
  Published：2018
- 稿件说明：
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Lü Qian, ZHANG Yun, LI Zhao-hua, et al. Quasi-static-dynamic transformation numerical analysis of rock landslide based on the second-order work criterion[J]. 2018, 39(3): 1091-1099.
DOI：

Lü Qian, ZHANG Yun, LI Zhao-hua, et al. Quasi-static-dynamic transformation numerical analysis of rock landslide based on the second-order work criterion[J]. 2018, 39(3): 1091-1099. DOI： 10.16285/j.rsm.2017.0743.

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。

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.

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