1. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China 2. Nantong Railway Construction Component Co., Ltd., Nantong 226000, China
The integrity and bearing capacity of segment joints in shield tunnels are associated closely with the mechanical properties of the joints. This study focuses on the mechanical characteristics and mechanism of a bolted circumferential joint during the entire bearing process. Simplified analytical algorithms for four stress stages are established to describe the bearing behaviors of the joint under a compressive bending load. A height adjustment coefficient, α, for the outer concrete compression zone is introduced into a simplified analytical model. Factors affecting α are determined, and the degree of influence of these factors is investigated via orthogonal numerical simulations. The numerical results show that α can be specified as approximately 0.2 for most metro shield tunnels in China. Subsequently, a case study is performed to verify the rationality of the simplified theoretical analysis for the segment joint via numerical simulations and experiments. Using the proposed simplified analytical algorithms, a parametric investigation is conducted to discuss the factors affecting the ultimate compressive bending capacity of the joint. The method for optimizing the joint flexural stiffness is clarified. The results of this study can provide a theoretical basis for optimizing the design and prediciting the damage of bolted segment joints in shield tunnels.
distance between bolt and inner edge of segment (mm)
joint gap (mm)
1
0.32
35
110
2
2
0.40
40
120
4
3
0.48
45
130
6
4
0.56
50
140
8
Tab.1
parameter
size (mm)
H
300
600
200
39
35–50
25
110–140
2–8
Tab.2
Fig.5
number
M/N (m)
caulking width of sealing gasket (mm)
distance between bolt and inner edge of segment (mm)
joint gap (mm)
black column
α
1
0.32
35
110
2
1
0.216
2
0.32
40
120
4
2
0.206
3
0.32
45
130
6
3
0.206
4
0.32
50
140
8
4
0.186
5
0.4
35
120
6
4
0.198
6
0.4
40
110
8
3
0.173
7
0.4
45
140
2
2
0.200
8
0.4
50
130
4
1
0.206
9
0.48
35
130
8
2
0.169
10
0.48
40
140
6
1
0.205
11
0.48
45
110
4
4
0.206
12
0.48
50
120
2
3
0.200
13
0.56
35
140
4
3
0.206
14
0.56
40
130
2
4
0.200
15
0.56
45
120
8
1
0.181
16
0.56
50
110
6
2
0.206
Tab.3
item
M/N (m)
caulking width of sealing gasket
distance between bolt and inner edge of segment
joint gap
black column
K1
0.203515
0.197271
0.200192
0.204034
0.20205
K2
0.194192
0.195974
0.196231
0.205874
0.195233
K3
0.195033
0.198226
0.19525
0.203682
0.196188
K4
0.198227
0.199496
0.199293
0.177376
0.197495
R
0.009323
0.003522
0.004942
0.028498
0.006818
optimal level
1
4
1
2
–
Tab.4
sources of variation
sum of squares
DOF
mean square
F
P
significance level
M/N
2.14e–4
3
7.13e–5
1.96
–
*
caulking width of sealing gasket
2.66e–5
3
8.88e–6
0.24
–
–
distance between bolt and inner edge of segment
6.76e–5
3
2.25e–5
0.62
–
–
joint gap
2.22e–3
3
7.41e–4
20.33
F0.05
**
error
1.09e–4
3
3.64e–5
–
–
–
sum
2.64e–3
15
–
–
–
–
Tab.5
Fig.6
Fig.7
Fig.8
Fig.9
Fig.10
Fig.11
Fig.12
Fig.13
parameter
size (mm)
H
300
600
39
50
25
110
4
Tab.6
Fig.14
Fig.15
1
H Wu, Y Xu, S L Shen, J C Chai. Long-term settlement behavior of ground around shield tunnel due to leakage of water in soft deposit of Shanghai. Frontiers of Architecture and Civil Engineering in China, 2011, 5(2): 194–198 https://doi.org/10.1007/s11709-011-0105-y
2
Y Xue, H Gong, F Kong, W Yang, D Qiu, B Zhou. Stability analysis and optimization of excavation method of double-arch tunnel with an extra-large span based on numerical investigation. Frontiers of Structural and Civil Engineering, 2021, 15(1): 136–146 https://doi.org/10.1007/s11709-020-0710-8
3
H Lei, Y Zhang, Y Hu, Y Liu. Model test and discrete element method simulation of shield tunneling face stability in transparent clay. Frontiers of Structural and Civil Engineering, 2021, 15(1): 147–166 https://doi.org/10.1007/s11709-020-0704-6
4
P F Li, Y J Wei, M J Zhang, Q Huang, F Wang. Influence of non-associated flow rule on passive face instability for shallow shield tunnels. Tunnelling and Underground Space Technology, 2022, 119: 104202 https://doi.org/10.1016/j.tust.2021.104202
5
P F Li, H H Zou, F Wang, H C Xiong. An analytical mechanism of limit support pressure on cutting face for deep tunnels in the sand. Computers and Geotechnics, 2020, 119: 103372 https://doi.org/10.1016/j.compgeo.2019.103372
6
S H Li, M J Zhang, P F Li. Analytical solutions to ground settlement induced by ground loss and construction loadings during curved shield tunneling. Journal of Zhejiang University, Science A, 2021, 22(4): 296–313 https://doi.org/10.1631/jzus.A2000120
M J Zhang, Q G Di, P F Li, Y J Wei, F Wang. Influence of non-associated flow rule on face stability for tunnels in cohesive–frictional soils. Tunnelling and Underground Space Technology, 2022, 121: 104320 https://doi.org/10.1016/j.tust.2021.104320
9
M J Zhang, S H Li, P F Li. Numerical analysis of ground displacement and segmental stress and influence of yaw excavation loadings for a curved shield tunnel. Computers and Geotechnics, 2020, 118: 103325 https://doi.org/10.1016/j.compgeo.2019.103325
10
H B Zheng, P F Li, G M Ma, Q B Zhang. Experimental investigation of mechanical characteristics for linings of twins tunnels with asymmetric cross-section. Tunnelling and Underground Space Technology, 2022, 119: 104209 https://doi.org/10.1016/j.tust.2021.104209
11
K P Huang, T T Wang, T H Huang, F S Jeng. Profile deformation of a circular tunnel induced by ambient stress changes. Tunnelling and Underground Space Technology, 2010, 25(3): 266–278 https://doi.org/10.1016/j.tust.2009.12.006
12
A Meda, Z Rinaldi, A Caratelli, F Cignitti. Experimental investigation on precast tunnel segments under TBM thrust action. Engineering Structures, 2016, 119: 174–185 https://doi.org/10.1016/j.engstruct.2016.03.049
13
M L Nehdi, S Abbas, A M Soliman. Exploratory study of ultra-high performance fiber reinforced concrete tunnel lining segments with varying steel fiber lengths and dosages. Engineering Structures, 2015, 101: 733–742 https://doi.org/10.1016/j.engstruct.2015.07.012
14
Z Ye, H B Liu. Investigating the relationship between erosion-induced structural damage and lining displacement parameters in shield tunnelling. Computers and Geotechnics, 2021, 133: 104041 https://doi.org/10.1016/j.compgeo.2021.104041
15
Y Yuan, Y Bai, J H Liu. Assessment service state of tunnel structure. Tunnelling and Underground Space Technology, 2012, 27(1): 72–85 https://doi.org/10.1016/j.tust.2011.07.002
16
D J Liu, C Tian, F Wang, Q F Hu, J P Zuo. Longitudinal structural deformation mechanism of shield tunnel linings considering shearing dislocation of circumferential joints. Computers and Geotechnics, 2021, 139: 104384 https://doi.org/10.1016/j.compgeo.2021.104384
17
H N Wu, S L Shen, R P Chen, A N Zhou. Three-dimensional numerical modelling on localised leakage in segmental lining of shield tunnels. Computers and Geotechnics, 2020, 122: 103549 https://doi.org/10.1016/j.compgeo.2020.103549
18
F Ye, C F Gou, H D Sun, Y P Liu, Y X Xia, Z Zhou. Model test study on effective ratio of segment transverse bending rigidity of shield tunnel. Tunnelling and Underground Space Technology, 2014, 41: 193–205 https://doi.org/10.1016/j.tust.2013.12.011
19
X ZhongW ZhuZ HuangY Han. Effect of joint structure on joint stiffness for shield tunnel lining. Tunnelling and Underground Space Technology, 2006, 21(3–4): 407–408
20
C Shi, C Y Cao, M F Lei, L M Peng, H J Ai. Effects of lateral unloading on the mechanical and deformation performance of shield tunnel segment joints. Tunnelling and Underground Space Technology, 2016, 51: 175–188 https://doi.org/10.1016/j.tust.2015.10.033
21
S Wang, X Jiang, Y Bai. The influence of hand hole on the ultimate strength and crack pattern of shield tunnel segment joints by scaled model test. Frontiers of Structural and Civil Engineering, 2019, 13(5): 1200–1213 https://doi.org/10.1007/s11709-019-0546-2
22
W Q Ding, Y C Peng, Z G Yan, B W Shen, H H Zhu, X X Wei. Full-scale testing and modeling of the mechanical behavior of shield TBM tunnel joints. Structural Engineering and Mechanics, 2013, 45(3): 337–354
23
X J Li, Z G Yan, Z Wang, H H Zhu. A progressive model to simulate the full mechanical behavior of concrete segmental lining longitudinal joints. Engineering Structures, 2015, 93: 97–113 https://doi.org/10.1016/j.engstruct.2015.03.011
24
X J Li, Z G Yan, Z Wang, H H Zhu. Experimental and analytical study on longitudinal joint opening of concrete segmental lining. Tunnelling and Underground Space Technology, 2015, 46: 52–63 https://doi.org/10.1016/j.tust.2014.11.002
25
Y L Jin, W Ding, Z Yan, K Soga, Z Li. Experimental investigation of the nonlinear behavior of segmental joints in a water-conveyance tunnel. Tunnelling and Underground Space Technology, 2017, 68: 153–166 https://doi.org/10.1016/j.tust.2017.05.018
26
C Gong, W Ding, K M Mosalam, S Günay, K Soga. Comparison of the structural behavior of reinforced concrete and steel fiber reinforced concrete tunnel segmental joints. Tunnelling and Underground Space Technology, 2017, 68: 38–57 https://doi.org/10.1016/j.tust.2017.05.010
27
A Caratelli, A Meda, Z Rinaldi, S Giuliani-Leonardi, F Renault. On the behavior of radial joints in segmental tunnel linings. Tunnelling and Underground Space Technology, 2018, 71: 180–192 https://doi.org/10.1016/j.tust.2017.08.022
28
K Feng, C He, Y Qiu, L Zhang, W Wang, H M Xie, Y Y Zhang, S Y Cao. Full-scale tests on bending behavior of segmental joints for large underwater shield tunnels. Tunnelling and Underground Space Technology, 2018, 75: 100–116 https://doi.org/10.1016/j.tust.2018.02.008
29
X Liu, Y Bai, Y Yuan, H A Mang. Experimental investigation of the ultimate bearing capacity of continuously jointed segmental tunnel linings. Structure and Infrastructure Engineering, 2016, 12(10): 1364–1379 https://doi.org/10.1080/15732479.2015.1117115
30
X Liu, C Zhang, C G Zhang, Y Yuan. Ultimate load-carrying capacity of the longitudinal joints in segmental tunnel linings. Structural Concrete, 2017, 18(5): 693–709 https://doi.org/10.1002/suco.201600070
31
X Liu, Y M Zhang, Y H Bao. Full-scale experimental investigation on stagger effect of segmental tunnel linings. Tunnelling and Underground Space Technology, 2020, 102: 103423 https://doi.org/10.1016/j.tust.2020.103423
32
T Iftimie. Prefabricated lining, conceptional analysis and comparative studies for optimal solution. In: ITA International Congress Tunnelling and Ground Conditions. Cairo: AA Balkema, 1994, 339–346
33
Z Huang, C L Zhang, S K Ma, J B Zhang, Q X Zhu. Study of the mechanical behaviour and damage characteristics of three new types of joints for fabricated rectangular tunnels using a numerical approach. Tunnelling and Underground Space Technology, 2021, 118: 104184 https://doi.org/10.1016/j.tust.2021.104184