Effect of Rotation Angle of Voids on the Bearing Capacity of Subgrade by Using Finite Element Limit Anslysis

Desong JIANG; Kexin HU; Minghua ZHAO; Rui ZHANG; Heng ZHAO

doi:10.13409/j.cnki.jdpme.2020.04.014

您当前的位置：

首页 >

文章列表页 >

Effect of Rotation Angle of Voids on the Bearing Capacity of Subgrade by Using Finite Element Limit Anslysis

更新时间：2025-09-25

- Effect of Rotation Angle of Voids on the Bearing Capacity of Subgrade by Using Finite Element Limit Anslysis
- Journal of Disaster Prevention and Mitigation Engineering Vol. 40, Issue 4, Pages: 596-605(2020)
- 作者机构：
  
  1.湖南大学岩土工程研究所，湖南长沙 410082
  2.中南大学土木工程学院，湖南长沙 410075
- 作者简介：
- 基金信息：
- DOI：10.13409/j.cnki.jdpme.2020.04.014
  CLC： TU47
- Received：07 June 2018，
  
  Revised：2018-08-20，
  
  Published：15 August 2020
- 稿件说明：
移动端阅览
蒋德松,胡可馨,赵明华等.岩溶区路基承载力有限元极限分析[J].防灾减灾工程学报,2020,40(04):596-605.

JIANG Desong,HU Kexin,ZHAO Minghua,et al.Effect of Rotation Angle of Voids on the Bearing Capacity of Subgrade by Using Finite Element Limit Anslysis[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):596-605.
蒋德松,胡可馨,赵明华等.岩溶区路基承载力有限元极限分析[J].防灾减灾工程学报,2020,40(04):596-605. DOI： 10.13409/j.cnki.jdpme.2020.04.014.

JIANG Desong,HU Kexin,ZHAO Minghua,et al.Effect of Rotation Angle of Voids on the Bearing Capacity of Subgrade by Using Finite Element Limit Anslysis[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):596-605. DOI： 10.13409/j.cnki.jdpme.2020.04.014.

摘要

为计算岩溶区路基极限承载力，根据上、下限定理，结合有限元方法，基于MATLAB平台编制了相关计算程序。采用修正的Hoek‑Brown准则来描述岩体的非线性特点，并将其嵌入到计算程序中。在此基础上，用无量纲参数

、

衡量单个溶洞对路基承载力的影响，并详细分析了各参数的影响。结果表明：

随着

D/L

（厚跨比）、GSI（地质强度指标）的增大而非线性增大，随

（高跨比）的增大而减小，与

大致成线性关系；当

较小时，

随

（旋转角度）的增大先增大后减小；当

较大时，

对

的影响不大；岩石的物理力学参数GSI、

、

对

的影响可忽略不计。极限破坏模式可分为顶板冲切破坏、顶板冲切和侧壁联合破坏、顶板冒落和侧壁联合破坏。将条形基础作用在岩层的承载力的结果与已有成果进行对比，误差在3%以内，验证了本文所提方法的正确性。同时，为便于实际工程设计，提供了具体的设计表格，基本能满足大部分工程需求。

Abstract

In order to calculate the limit bearing capacity of subgrade in the karst areas

combining the theorem of the limit analysis with finite element method

the computation procedure was provided based on MATLAB. The modified Hoek-Brown criterion was adopted to describe the non-liner characteristic of the rock mass

which was also embedded into the computation procedure. On this basis

dimensional parameters

and

were defined to estimate the effect of voids on the bearing capacity of subgrade

and the effect of different parameters was also analyzed in detail. The results reveal that

non-linely increases with increasing the values of

(the ration of thickness to span) and GSI (the geological strength index)

and decreases with increasing the value of

(the ratio of height to span)

and the linear relation between

and

. The value of

first

increases

then decrease with an increase in the value of

when

D/L

has smaller values. The value of

(rotation angle) has a little influence on

when

D/L

has larger values. The physical mechanics parameters (GSI

and

) of rock mass has a negligible effect on

. The failure mechanics could be classified punch failure of roof

combined roof punch and side wall failure

combined roof falling and side wall failure. The results of bearing capacity for strip footing on a rock mass are compared with previous study

and the difference within 3%. This indicates that the method proposed in this paper is correct. Meanwhile

for the convenience of design in engineering practice

design tables are provided

which could be meet most requirements in engineering practice.

关键词

Keywords

references

Baus R L , Wang M C . Bearing capacity of strip footing above void [J]. Journal of Geotechnical Engineering, ASCE , 1983 , 109 ( 1 ): 1 - 14 .

Kiyosumi M , Kusakabe O , Ohuchi M . Model tests and analyses of bearing capacity of strip footing on stiff ground with voids [J]. Geotechnical and Geoenvironmental Engineering , 2011 , 137 ( 4 ): 363 - 375 .

张慧乐 , 马凛 , 张智浩 . 岩溶区嵌岩桩承载特性影响因素的试验研究与分析 [J]. 岩土力学 , 2013 , 34 ( 1 ): 92 - 101 .

Zhang H L , Ma L , Zhang Zh H . Test research and analysis of influcing factor of rock-socked pile bearing capacity in karst area [J]. Rock and Soil Mechanics , 2013 , 34 ( 1 ): 92 - 101 . (in Chinese)

Wang M C , Hsieh C W . Collapse load of strip footing above circular void [J]. Journal of Geotechnical Engineering , 1987 , 113 ( 5 ): 511 - 515 ．

Wang M C , Kim Y U , Jun J T . Cavity effect on collapse load of strip footings [C]//Proceedings of the international conference on soil mechanics and geotechnical engineering.[S.l.] : AA Balkema Publishers , Torino , 2001 : 317 - 320 .

刘之葵 , 梁金城 , 朱寿增 , 等 . 岩溶区土洞地基稳定性分析 [J]. 水文地质工程地质 , 2003 , 30 ( 3 ): 24 - 28 .

Liu Zh K , Liang J Ch , Zhu Sh Z , et al . Stability analysis of soil cave foundation in karst area [J]. Hydrogeolog & Engineering Geology , 2003 , 30 ( 3 ): 24 - 28 . (in Chinese)

刘辉 , 杨峰 , 阳军生 . 空洞上方浅基础地基破坏模式与极限承载力分析 [J]. 岩土力学 , 2010 , 31 ( 11 ): 3 373 - 3 378 .

Liu H , Yang F , Yang J Sh . Failure mechanism and ultimate bearing capacity of strip footing above void [J]. Rock and Soil Mechanics , 2010 , 31 ( 11 ): 3 373 - 3 378 . (in Chinese)

李倩倩 , 张顶立 , 房倩 . 含空洞地层初始破坏的复变函数解析研究 [J]. 岩土工程学报 , 2014 , 36 ( 11 ): 2 110 - 2 117 .

Li Q Q , Zhang D L , Fang Q . Analytic solution to initial damage of cavern strata by complex function method [J]. Chinese Journal of Geotechnical Engineering , 2014 , 36 ( 11 ): 2 110 - 2 117 . (in Chinese)

Wang M C , Badie A . Effect of underground void on foundation stability [J]. Journal of Geotechnical Engineering , 1985 , 111 ( 8 ): 1 008 - 1 019 .

李仁江 , 盛谦 , 张勇慧 , 等 . 溶洞顶板极限承载力研究 [J]. 岩土力学 , 2007 , 28 ( 8 ): 1 621 - 1 626 .

Li R J , Sheng Q , Zhang Y H , et al . Study on ultimate bearing capacity of upper rock plate of karst cave [J]. Rock and Soil Mechanics , 2007 , 28 ( 8 ): 1 621 - 1 626 . (in Chinese)

Kiyosumi M , Kusakabe O , Ohuchi M , et al . Yielding pressure of spread footing above multiple voids [J]. Journal of Geotechnical and Geoenvironmental Engineering , 2007 , 133 ( 12 ): 1 522 - 1 531 .

赵明华 , 卢晓明 , 张锐 . 下伏空洞地基极限承载力与破坏模式上限有限元法 [J]. 岩土力学 , 2017 , 38 ( 1 ): 229 - 236,246 .

Zhao M H , Lu X M , Zhang R . Upper bound finite element method for ultimate bearing capacity and failure mechanism of subgrade above void [J]. Rock and Soil Mechanics , 2017 , 38 ( 1 ): 229 - 236,246 . (in Chinese)

Sloan S W . Geotechnical stability analysis [J]. Géotechnique , 2013 , 63 ( 7 ): 531 .

赵明华 , 张锐 , 刘猛 , 等 . 下限分析有限单元法的非线性规划求解 [J]. 岩土力学 , 2015 , 36 ( 12 ): 3 589 - 3 597 .

Zhao M H , Zhang R , Liu M , et al . Nonlinear programming of lower bound finite element method [J]. Rock and Soil Mechanics , 2015 , 36 ( 12 ): 3 589 - 3 597 . (in Chinese)

赵明华 , 张锐 . 有限元上限分析网格自适应方法及其工程应用 [J]. 岩土工程学报 , 2016 , 38 ( 3 ): 537 - 545 .

Zhao M H , Zhang R . Adaptive mesh refinement of upper bound finite element method and its applications in geotechnical engineering [J]. Chinese Journal of Geotechnical Engineering , 2016 , 38 ( 3 ): 537 - 545 . (in Chinese)

张锐 . 基于非线性规划的有限元极限分析方法及其工程应用 [D]. 长沙：湖南大学 , 2015 .

Zhang R . Finite element limit analysis based on non-liner programming and its applications in engineering [D]. Changsha : Hunan Unversity , 2015 . (in Chinese)

Hoek D E , Marinos D P , Hoek E , et al . A brief history of the development of the Hoek-Brown failure criterion [J]. Soils and Rocks , 2007 , 15 ( 1 ): 1 - 8 .

Merifield R S , Lyamin A V , Sloan S W . Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek‑Brown criterion [J]. International Journal of Rock Mechanics and Mining Sciences , 2006 , 43 ( 6 ): 920 - 937 .

Li A J , Merifield R S , Lyamin A V . Stability charts for rock slopes based on the Hoek‑Brown failure criterion [J]. International Journal of Rock Mechanics & Mining Sciences , 2008 , 45 ( 5 ): 689 - 700 .

Abbo A J , Sloan S W . A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion [J]. Computers & Structures , 1995 , 54 ( 3 ): 427 - 441 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Numerical Simulation Study of Slope‑pipe Interaction Using Material Point Method

Research on the Failure Mechanism and Prevention Technology of Loess Railway Embankment Landslide

Local Scour Around Pile Leg of Offshore Platform and Its Influence on Foundation Bearing Capacity

Bearing Behavior of Deeply‑embedded Large‑diameter Cylindrical Structure Considering Strain Softening Effect of Soft Clay

Theoretical Research on Bearing Capacity of Moderate to Long Reinforced Concrete Columns under Axial Compression and Strengthened by Jacketing

Related Author

ZHANG Wei

YAN Dumin

TAN Daoyuan

ZHU Honghu

JIANGXinfei

ZHOU Wenjiao

ZHANG Yufang

FAN Jiawei

Related Institution

School of Earth Sciences and Engineering,Nanjing University

Jiangsu Engineering Research Center of Earth Sensing and Disaster Control

China Railway Construction Corporation Limited

Railway Engineering Research Institute, China Academy of Railway Sciences Co. Ltd

National Key Laboratory of High‑Speed Railway Track System

⁰