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)

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

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 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

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 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

Table 3

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

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

Table 4

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

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

Table 5

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

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
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