Journal of Shandong University(Engineering Science) ›› 2019, Vol. 49 ›› Issue (4): 36-43.doi: 10.6040/j.issn.1672-3961.0.2018.140

• Civil Engineering • Previous Articles     Next Articles

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)

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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°. KⅠ 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

CLC Number: 

  • TU45

Fig.1

Pre-existing crack model with seepage pressure under compression and shear"

Fig.2

Forced state of crack"

Table 1

The variation laws of stress intensity factor and crack initial angle with pre-existing crack angle"

裂隙倾角α/(°) τ σN σT KΙ KⅡ 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

Fig.3

Crack initiation at crack inclination angles of 30°, 45° and 60°"

Table 2

The variation laws of stress intensity factor and crack initial angle with seepage pressure"

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

Table 3

The variation laws of stress intensity factor and crack initial angle with crack width"

裂隙厚度ρ/mm KⅠ KⅡ 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

Table 4

Comparison of theoretical analysis and experimental results of crack initial stress with different seepage pressures"

水压p/MPa 解析σ′1 试验σ′1
0 18.40 19.57
0.5 17.55 17.85
1.0 16.70 16.96

Table 5

Comparison of theoretical analysis and experimental results of crack initial stress with different lateral pressures"

侧压σ3/MPa 解析σ′1 试验σ′1
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
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