岩土力学 ›› 2019, Vol. 40 ›› Issue (12): 4865-4872.doi: 10.16285/j.rsm.2018.1791

• 岩土工程研究 • 上一篇    下一篇

基于广义Hoek-Brown准则的瞬时线性化 强度折减技术

任晋岚,陈曦,王冬勇,吕彦楠   

  1. 北京交通大学 城市地下工程教育部重点实验室,北京 100044
  • 收稿日期:2018-09-25 出版日期:2019-12-11 发布日期:2020-01-04
  • 通讯作者: 陈曦,男,1977年生,博士,教授,博士生导师,主要从事计算岩土力学和岩土工程风险方面的研究工作。E-mail: xichen.geo@gmail.com E-mail:16121090@bjtu.edu.cn
  • 作者简介:任晋岚,女,1995年生,硕士研究生,主要从事岩土体稳定性分析方面的研究工作
  • 基金资助:
    国家重点研发计划课题(No.2017YFC0804602);中央高校基本科研业务费专项基金(No.2019JBM092)。

Instantaneous linearization strength reduction technique for generalized Hoek-Brown criterion

REN Jin-lan, CHEN Xi, WANG Dong-yong, LÜ Yan-nan   

  1. Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China
  • Received:2018-09-25 Online:2019-12-11 Published:2020-01-04
  • Supported by:
    This work was supported by the National Key R&D Program of China (2017YFC0804602) and the Fundamental Research Funds for the Central Universities (2019JBM092).

摘要: 广义Hoek-Brown(HB)准则广泛应用于岩体的计算和分析,然而,广义HB准则是典型的非线性强度准则,不能直接在有限元强度折减法中采用来开展岩体的稳定性分析。针对这一问题,开展瞬时线性化研究,根据已有的应力状态将HB强度包线上一点的抗剪强度转化为该点切线对应的黏聚力和内摩擦角,并提出了两种瞬时线性化强度折减方案:(1)基于弹塑性分析获得的应力场,对每个应力点专属的瞬时Mohr-Coulomb(MC)强度参数进行折减,相应的方法记为Point-IL-SSRFEM;(2)由于传统有限元法要求单元的抗剪强度参数保持不变,在每个单元上各个应力点获得瞬时MC强度参数后,对这些参数进行单元均一化处理并进行折减,相应的方法记为Element-IL-SSRFEM。基于岩质边坡算例,对比和评述了三参数等比折减技术和瞬时线性化强度折减技术。数值分析结果表明:与Element-IL-SSRFEM相比,Point-IL-SSRFEM对网格划分的要求较低,计算精度和计算效率相对较高;与三参数等比折减相比,Point-IL-SSRFEM的计算精度高、计算性能稳定。因此,推荐使用 Point-IL-SSRFEM 来分析岩质边坡的稳定性。

关键词: 岩质边坡, 广义Hoek-Brown准则, 瞬时线性化, 强度折减, 安全系数

Abstract: The generalized Hoek-Brown (HB) criterion has been widely applied to the computation and analysis of rock mass. However, the generalized HB criterion is a typical nonlinear failure criterion, so that it can’t be directly used in conjunction with shear strength reduction finite element method (SSRFEM) for the stability analysis of rock slopes. In response to this problem, the instantaneous linearization technique is investigated, in which for an arbitrary stress point, the instantaneous cohesion and internal friction angle corresponding to a tangent line with respect to the HB envelope can be obtained. Consequently, two instantaneous linearization strength reduction schemes are proposed: 1) Based on the stress field attained from the elasto-plastic analysis, the Mohr-Coulomb (MC) strength parameters of each stress point can be reduced, and the resulting approach is denoted as Point-IL-SSRFEM; 2) Since the strength parameters are required to be constant in each element for conventional finite element method, the attained instantaneous strength parameters for stress points in each element shall be averaged and then reduced, and the resulting approach is denoted as Element-IL-SSRFEM. Based on the calculation example of rock slope, the three-parameter strength reduction technique and the instantaneous linearization strength reduction technique are compared. The numerical results show that: compared to Element-IL-SSRFEM, the numerical accuracy and computational efficiency of Point-IL-SSRFEM are relatively high; Compared to the three-parameter strength reduction technique, the numerical accuracy of Point-IL-SSRFEM is higher and the computational performance of Point-IL-SSRFEM is more stable. Therefore, it is recommended to apply it to the stability analysis of rock slopes.

Key words: rock slopes, generalized Hoek-Brown criterion, instantaneous linearization, shear strength reduction, factor of safety

中图分类号: 

  • TU 457
[1] 周强, 黎康平, 段亚辉, 曹子君, 李典庆, . 基于广义可靠指标相对安全率的地基承载力 安全判据研究[J]. 岩土力学, 2020, 41(6): 2052-2062.
[2] 肖明清, 徐晨, . 基于临界稳定断面的隧道围岩稳定性分析方法探讨[J]. 岩土力学, 2020, 41(5): 1690-1698.
[3] 周子涵, 陈忠辉, 王建明, 张凌凡, 年庚乾. 爆破荷载作用下露天矿边坡稳定性的突变研究[J]. 岩土力学, 2020, 41(3): 849-857.
[4] 李剑, 陈善雄, 余飞, 姜领发, 戴张俊. 预应力锚索加固高陡边坡机制探讨[J]. 岩土力学, 2020, 41(2): 707-713.
[5] 吴锦亮, 何吉, . 岩质边坡动态开挖模拟的复合单元模型[J]. 岩土力学, 2019, 40(S1): 535-540.
[6] 张海娜, 陈从新, 郑 允, 孙朝燚, 张亚鹏, 刘秀敏, . 坡顶荷载作用下岩质边坡弯曲倾倒破坏分析[J]. 岩土力学, 2019, 40(8): 2938-2946.
[7] 刘新荣, 邓志云, 刘永权, 刘树林, 路雨明, . 地震作用下水平层状岩质边坡累积损伤与 破坏模式研究[J]. 岩土力学, 2019, 40(7): 2507-2516.
[8] 言志信, 龙哲, 屈文瑞, 张森, 江平, . 地震作用下含软弱层岩体边坡锚固 界面剪切作用分析[J]. 岩土力学, 2019, 40(7): 2882-2890.
[9] 陈峥, 何平, 颜杜民, 高红杰, 聂奥祥, . 超前支护下隧道掌子面稳定性极限上限分析[J]. 岩土力学, 2019, 40(6): 2154-2162.
[10] 吴关叶, 郑惠峰, 徐建荣. 三维复杂块体系统边坡深层加固条件下稳定性及 破坏机制模型试验研究[J]. 岩土力学, 2019, 40(6): 2369-2378.
[11] 朱仁杰, 车爱兰, 严 飞, 文 海, 葛修润, . 含贯通性结构面岩质边坡动力演化规律[J]. 岩土力学, 2019, 40(5): 1907-1915.
[12] 王 珍, 曹兰柱, 王 东, . 非均质边坡稳定性上限分析评价研究[J]. 岩土力学, 2019, 40(2): 737-742.
[13] 李典庆, 周强, 曹子君, . 基于广义可靠指标相对安全率的岩土工程 设计安全判据[J]. 岩土力学, 2019, 40(10): 3977-3986.
[14] 尹小涛,薛海斌,汤 华,任兴文,宋 罡,. 边坡局部和整体稳定性评价方法的辩证统一[J]. , 2018, 39(S1): 98-104.
[15] 尹小涛,严 飞,秦雨樵,周 磊,王东英, . 地震作用下华丽高速公路金沙江桥华坪岸顺层边坡动力稳定性评价[J]. , 2018, 39(S1): 387-394.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!