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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)

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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°. 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

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 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

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 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

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 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

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σ′1 试验σ′1
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
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