您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(工学版)》

山东大学学报 (工学版) ›› 2019, Vol. 49 ›› Issue (4): 36-43.doi: 10.6040/j.issn.1672-3961.0.2018.140

• 土木工程 • 上一篇    下一篇

含裂隙水预制平面裂隙的启裂理论与试验验证

谢雅娟(),虞松*(),李邦祥,徐翔,朱维申   

  1. 山东大学土建与水利学院, 山东 济南 250061
  • 收稿日期:2018-04-12 出版日期:2019-08-20 发布日期:2019-08-06
  • 通讯作者: 虞松 E-mail:XXQ1715@163.com;yusong@sdu.edu.cn
  • 作者简介:谢雅娟(1993—),女,河南商丘人,硕士研究生,主要研究方向为岩体裂隙的启裂扩展.E-mail:XXQ1715@163.com
  • 基金资助:
    国家自然科学基金面上资助项目(51579140)

Crack initiation theory and experimental verification of pre-existing plane cracks with seepage pressure

Yajuan XIE(),Song YU*(),Bangxiang LI,Xiang XU,Weishen ZHU   

  1. School of Civil Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2018-04-12 Online:2019-08-20 Published:2019-08-06
  • Contact: Song YU E-mail:XXQ1715@163.com;yusong@sdu.edu.cn
  • Supported by:
    国家自然科学基金面上资助项目(51579140)

摘要:

为研究含裂隙水预制平面裂隙的启裂特性,分别对裂隙张开和闭合两种情况进行理论分析和试验验证。详细阐述裂隙尖端应力强度因子和张开型裂隙启裂角度和启裂强度的理论计算方法,并给出压缩条件下闭合裂隙的起裂强度公式。制作了预制有张开型贯穿裂隙的水泥砂浆试件,进行双轴压缩试验。通过试验对比分析探讨裂隙尖端应力强度因子与裂隙启裂角度随裂隙倾角、水压力和裂隙尖端曲率半径的变化规律,以及裂隙启裂强度与水压力和侧压的关系。结果表明:含水压张开型裂隙Ι型应力强度因子随裂隙倾角的增加而增加,在裂隙倾角为75°时最容易发生Ι型(扩展型)裂纹,随水压力和裂隙尖端曲率半径的增加而减小。剪切型裂隙ΙΙ型应力强度因子随裂隙倾角呈对称分布,在裂隙倾角为45°处取得最大值,与水压力和裂隙尖端曲率半径无关。张开型裂隙的启裂角度随着裂隙倾角、水压力和裂隙尖端曲率半径的增加而减小;启裂强度与水压力成反比,与侧压成正比。本研究结果可为岩土工程中渗透水压作用下裂隙的启裂扩展研究提供参考。

关键词: 预制平面裂隙, 渗透水压力, 试验验证, 应力强度因子, 启裂强度

Abstract:

In order to study the crack initiation characteristics of pre-existing plane cracks with seepage pressure, cracks were divided into two types: open type and closed type. Theoretical analysis and experimental verification were carried out. The theoretical derivation of crack stress intensity factor, crack initiation angle and crack initiation stress was expounded in detail, and the crack initiation strength formula for closed crack under compression was given. Precast concrete mortar specimens with open-type crack were produced and subjected to biaxial compression experiments. The variation of stress intensity factor and crack initiation angle with crack inclination angle, hydraulic pressure and crack thickness were investigated through experimental verification and analysis. The relationship of crack initiation strength with hydraulic pressure and lateral pressure were also investigated. The results showed that type Ⅰ stress intensity factor of open-type crack with seepage pressure increased with the increase of crack angle. The type Ⅰ crack was most easily initiate when the crack angle was 75°. K decreased with the increase of water pressure and crack thickness. Type Ⅱ stress intensity factor of shear crack was distributed symmetrically with the crack inclination angle, and the maximum value was obtained at the crack inclination angle of 45°, irrespective of hydraulic pressure and crack thickness. Crack initiation angle of open-type crack decreased with the increase of crack dip, hydraulic pressure and crack thickness; crack initiation strength was inversely proportional to hydraulic pressure and proportional to lateral pressure. The research results could provide reference for crack initiation and crack propagation with seepage pressure in geotechnical engineering.

Key words: pre-existing plane crack, seepage pressure, experimental verification, stress intensity factor, initial stress

中图分类号: 

  • TU45

图1

压剪状态下含水压预制裂隙模型"

图2

裂隙受力状态图"

表1

裂隙尖端应力强度因子和启裂角度随裂隙倾角变化规律"

裂隙倾角α/(°) τ σN σT KΙ K θ
15 2.50 8.33 -0.33 -1.17 -0.34 126.30
30 4.33 6.50 1.50 -0.79 -0.59 96.30
45 5.00 4.00 4.00 -0.27 -0.69 78.20
60 4.33 1.50 6.50 0.24 -0.59 63.00
75 2.50 -0.33 8.33 0.62 -0.34 42.20

图3

裂隙倾角为30°、45°和60°的裂隙启裂图"

表2

裂隙尖端应力强度因子和启裂角度随水压力的变化规律"

水压力p/MPa K K θ
0 -0.34 -0.69 80.20
0.5 -0.31 -0.69 79.30
1.0 -0.27 -0.69 78.20

表3

裂隙尖端应力强度因子和启裂角度随裂隙厚度的变化规律"

裂隙厚度ρ/mm K K θ
1.0 -0.32 -0.69 79.50
1.5 -0.27 -0.69 78.20
2.0 -0.23 -0.69 77.00

表4

不同水压条件下裂隙启裂强度的理论计算和试验结果对比"

水压p/MPa 解析σ1 试验σ1
0 18.40 19.57
0.5 17.55 17.85
1.0 16.70 16.96

表5

不同侧压条件下裂隙启裂强度的理论计算和试验结果对比"

侧压σ3/MPa 解析σ1 试验σ1
0 15.70 17.90
1 18.40 19.57
5 29.22 30.86
10 42.74 43.25
1 张敦福, 朱维申, 李术才, 等. 围压和裂隙水压力对岩石中椭圆裂纹初始开裂的影响[J]. 岩石力学与工程学报, 2004, 23 (增刊2): 4721- 4725.
ZHANG Dunfu , ZHU Weishen , LI Shucai , et al. Influence of confining pressure and fissure water pressure on initial opening for elliptical facture[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23 (Suppl.2): 4721- 4725.
2 张敦福, 李术才. 修正的拉应力裂纹扩展准则及裂隙水压对裂纹扩展的影响[J]. 计算力学学报, 2009, 26 (1): 114- 119.
ZHANG Dunfu , LI Shucai . The modified tensile stress crack propagation criterion and influence of cranny hydraulic pressure on crack propagation[J]. Chinese Journal of Computational Mechanics, 2009, 26 (1): 114- 119.
3 赵延林, 曹平, 文有道, 等. 渗透压作用下压剪岩石裂纹损伤断裂机制[J]. 中南大学学报(自然科学版), 2008, 39 (4): 838- 844.
ZHAO Yanlin , CAO Ping , WEN Youdao , et al. Damage fracture failure mechanism of compressive-shear rock cracks under seepage pressure[J]. Journal of Central South University(Science and Technology), 2008, 39 (4): 838- 844.
4 赵延林, 曹平, 林杭, 等. 渗透压作用下压剪岩石裂纹流变断裂贯通机制及破坏准则探讨[J]. 岩土工程学报, 2008, 30 (4): 511- 517.
doi: 10.3321/j.issn:1000-4548.2008.04.008
ZHAO Yanlin , CAO Ping , LIN Hang , et al. Rheologic fracture mechanism and failure criterion of rock cracks under compressive-shear load with seepage pressure[J]. Chinese Journal of Geotechnical Engineering, 2008, 30 (4): 511- 517.
doi: 10.3321/j.issn:1000-4548.2008.04.008
5 李夕兵, 贺显群, 陈红江. 渗透水压作用下类岩石材料张开型裂纹启裂特性研究[J]. 岩石力学与工程学报, 2012, 31 (7): 1317- 1324.
doi: 10.3969/j.issn.1000-6915.2012.07.002
LI Xibing , HE Xianqun , CHEN Hongjiang . Crack initiation characteristics of opening-mode crack embedded in rock-like material under seepage pressure[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31 (7): 1317- 1324.
doi: 10.3969/j.issn.1000-6915.2012.07.002
6 郑安兴, 罗先启. 压剪应力状态下岩石复合型断裂判据的研究[J]. 岩土力学, 2015, 36 (7): 1892- 1898.
ZHENG Anxing , LUO Xianqi . Research on combined fracture criterion of rock under compression-shear stress[J]. Rock and Soil Mechanics, 2015, 36 (7): 1892- 1898.
7 邓华锋, 李建林, 刘杰, 等. 考虑裂隙水压力的岩体压剪裂纹扩展规律研究[J]. 岩土力学, 2011, 32 (增刊1): 297- 302.
DENG Huafeng , LI Jianlin , LIU Jie , et al. Research on propagation of compression shear fracture in rocks considering fissure water pressure[J]. Rock and Soil Mechanics, 2011, 32 (Suppl.1): 297- 302.
8 朱传奇, 殷志强, 李传明. 压缩状态下张开型裂纹起裂扩展规律[J]. 辽宁工程技术大学学报(自然科学版), 2016, 35 (10): 1105- 1110.
doi: 10.11956/j.issn.1008-0562.2016.10.018
ZHU Chuanqi , YIN Zhiqiang , LI Chuanming . Crack initiation extension law of opening type crack under compression state[J]. Journal of Liaoning Technical University(Natural Science), 2016, 35 (10): 1105- 1110.
doi: 10.11956/j.issn.1008-0562.2016.10.018
9 李强, 杨庆. 压缩作用下岩石裂纹闭合判据的研究[J]. 岩石力学与工程学报, 2009, 28 (增刊1): 2721- 2729.
LI Qiang , YANG Qing . Study on closing law of crack in rock mass under compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28 (Suppl.1): 2721- 2729.
10 杨慧, 曹平, 江学良, 等. 双轴压缩下闭合裂纹应力强度因子的解析与数值方法[J]. 中南大学学报(自然科学版), 2008, 39 (4): 850- 855.
YANG Hui , CAO Ping , JIANG Xueliang , et al. Analytical and numerical research of stress intensity factor with a closed-crack in finite-rock-plates under biaxial compression[J]. Journal of Central South University(Science and Technology), 2008, 39 (4): 850- 855.
11 蔺海荣, 冯维明, 虞松. 材料力学[M]. 北京: 国防工业出版社, 2001.
12 李贺, 尹光志, 许江. 岩石断裂力学[M]. 重庆: 重庆大学出版社, 1988.
13 MUSKHELISHVILI N I . Some basic problems of the mathematical theory of elasticity[J]. The Mathematical Gazette, 1964, 48 (365): 351.
14 文丕华. 岩石钝裂纹表面闭合与摩擦效应的研究[J]. 水利学报, 1989, 20 (2): 60- 66.
doi: 10.3321/j.issn:0559-9350.1989.02.008
WEN Pihua . Study on closure and friction property of elliptical crack in rock[J]. Journal of Hydraulic Engineering, 1989, 20 (2): 60- 66.
doi: 10.3321/j.issn:0559-9350.1989.02.008
15 SUN Zongqi . Is crack branching under shear loading caused by shear fracture? A critical review on maximum circumferential stress theory[J]. Trans Nonferrous Met Soc China, 2001, 11 (2): 287- 292.
16 孙宗颀. 如何判断在各种加载下的断裂模式:Ⅰ型还是Ⅱ型[J]. 三峡大学学报(自然科学版), 2004, 26 (1): 27- 30.
SUN Zongqi . How to judge fracture mode under arbitrary loading: mode Ⅰ or mode Ⅱ fracture[J]. Journal of China Three Gorges University(Natural Sciences), 2004, 26 (1): 27- 30.
17 RAO Q H , SUN Z Q , WANG G Y , et al. Effect of specimen thickness on mode Ⅱ fracture toughness of rock[J]. Journal of Central South University of Technology, 2001, 8 (2): 114- 119.
doi: 10.1007/s11771-001-0037-0
18 CHEN F , CAO P , RAO Q H , et al. Use of double edge-cracked Brazilian disk geometry for compression-shear fracture investigation of rock[J]. Journal of Central South University of Technology, 2003, 10 (3): 211- 215.
doi: 10.1007/s11771-003-0011-0
19 陈枫, 曹平, 饶秋华, 等. Mode Ⅱ fracture analysis of double edge cracked circular disk subjected to different diametral compression[J]. 中南工业大学学报(英文版), 2004, 11 (1): 63- 68.
CHEN Feng , CAO Ping , RAO Qiuhua , et al. Mode Ⅱ fracture analysis of double edge cracked circular disk subjected to different diametral compression[J]. Journal of Central South University of Technology, 2004, 11 (1): 63- 68.
20 杨慧.双轴压缩下含闭合裂纹有限岩板的断裂研究[D].长沙:中南大学, 2007.
YANG Hui. The fracture research of closed-crack in infinite plate under biaxial compression[D]. Changsha: Central South University, 2007.
21 ERDOGAN F , SIH G C . On the crack extension in plates under plane loading and transverse shear[J]. Journal of Basic Engineering, 1963, 85 (4): 519- 527.
doi: 10.1115/1.3656897
22 周群力. 混凝土重力坝与基岩胶结面用断裂力学方法进行计算的探讨[J]. 水文地质工程地质, 1979, 6 (6): 21- 31.
ZHUN Qunli . Discussion on the calculation of concrete gravity dam and bedding cementing surface by fracture mechanics method[J]. Hydrogeology and Engineering Geology, 1979, 6 (6): 21- 31.
23 周群力, 刘格非. 脆性材料的压剪断裂[J]. 水利学报, 1982, 13 (7): 63- 69.
doi: 10.3321/j.issn:0559-9350.1982.07.010
ZHOU Qunli , LIU Gefei . Pressure shear fracture of brittle materials[J]. Journal of Hydraulic Engineering, 1982, 13 (7): 63- 69.
doi: 10.3321/j.issn:0559-9350.1982.07.010
24 周群力. 岩石压剪断裂判据及其应用[J]. 岩土工程学报, 1987, 9 (3): 33- 37.
doi: 10.3321/j.issn:1000-4548.1987.03.004
ZHOU Qunli . Compress shear fracture criterion of rock and it′s application[J]. Chinese Journal of Geotechnical Engineering, 1987, 9 (3): 33- 37.
doi: 10.3321/j.issn:1000-4548.1987.03.004
[1] 杜烨,汤红卫,王卫东 . 边界奇异权法在复合型裂纹计算中的应用[J]. 山东大学学报(工学版), 2008, 38(3): 123-126 .
[2] 郝明辉,王锡平,王敏,周慎杰 .

考虑偶应力影响的有限大板单边裂纹计算

[J]. 山东大学学报(工学版), 2008, 38(2): 92-95 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 陈瑞,李红伟,田靖. 磁极数对径向磁轴承承载力的影响[J]. 山东大学学报(工学版), 2018, 48(2): 81 -85 .
[2] 刘文亮,朱维红,陈涤,张泓泉. 基于雷达图像的运动目标形态检测及跟踪技术[J]. 山东大学学报(工学版), 2010, 40(3): 31 -36 .
[3] 张英,郎咏梅,赵玉晓,张鉴达,乔鹏,李善评 . 由EGSB厌氧颗粒污泥培养好氧颗粒污泥的工艺探讨[J]. 山东大学学报(工学版), 2006, 36(4): 56 -59 .
[4] Yue Khing Toh1 , XIAO Wendong2 , XIE Lihua1 . 基于无线传感器网络的分散目标跟踪:实际测试平台的开发应用(英文)[J]. 山东大学学报(工学版), 2009, 39(1): 50 -56 .
[5] 刘新1 ,宋思利1 ,王新洪2 . 石墨配比对钨极氩弧熔敷层TiC增强相含量及分布形态的影响[J]. 山东大学学报(工学版), 2009, 39(2): 98 -100 .
[6] 田芳1,张颖欣2,张礼3,侯秀萍3,裘南畹3. 新型金属氧化物薄膜气敏元件基材料的开发[J]. 山东大学学报(工学版), 2009, 39(2): 104 -107 .
[7] 王杉,李田泽 . 一种绕线转子感应电机控制的新方法[J]. 山东大学学报(工学版), 2008, 38(3): 86 -89 .
[8] 赵延风1,2, 王正中1,2 ,芦琴1,祝晗英3 . 梯形明渠水跃共轭水深的直接计算方法[J]. 山东大学学报(工学版), 2009, 39(2): 131 -136 .
[9] 梁京芸,王明刚,柴家前,刘永庆 . 1.6-二-(N5-取代苯基-N1-二胍)己烷盐酸盐的合成和体外抗菌活性[J]. 山东大学学报(工学版), 2008, 38(3): 104 -107 .
[10] 孔宪明 鞠培军. 一类中立型不确定变时滞系统的稳定性新判据[J]. 山东大学学报(工学版), 2009, 39(5): 48 -51 .