Comparative Analysis of the Seismic Performance of Prefabricated and Cast-in-Place Urban Underpasses Using 3D FEM
Abstract
1. Introduction
2. Engineering Background
3. Finite-Element Numerical Model
3.1. Numerical Modeling
- 1.
- Static boundary condition: In this step, the four lateral boundaries of the model are constrained in the horizontal and longitudinal directions, while the vertical direction is free. The bottom boundary is constrained in all three directions. As shown in Figure 6, the two black triangles on the four horizontal boundaries represent constraints in the horizontal and vertical directions, while the three black triangles at the bottom represent constraints in all three directions, with black arrows indicating the constraint reaction force RF. This stage focuses on the self-weight stress field and solves the initial stress state and constraint reaction forces of the model using the following finite-element static equilibrium equations:
- 2.
- Viscoelastic Boundary Calculation: To minimize artificial wave reflections at the model truncation, viscoelastic (transmitting) boundaries were applied. These boundaries consist of normal and tangential dashpots that match the soil’s impedance, supplemented by linear springs to stabilize low-frequency drift. The dashpot coefficients were defined as:
- 3.
- Seismic Load Applied: The dynamic interaction between the free-field motion and the model boundary is transmitted into the numerical model in the form of equivalent nodal forces [42]. These are expressed as
3.2. Contact Relationships and Input Loads
4. Evaluation of the Seismic Performance of Prefabricated and Cast-in-Place Underpass
4.1. Response Acceleration of the Ground Surface and Structure
4.2. Relative Horizontal Displacement
4.3. Joint Deformation of the Prefabricated Underpass
5. Conclusions
- (1)
- Both structural systems exhibit increasing peak accelerations with stronger seismic input. Under equivalent ground motion, the prefabricated structure consistently demonstrates a slight reduction in acceleration compared with the monolithic cast-in-place structure, indicating a damping effect. The maximum reduction in amplification factor reaches approximately 32%, confirming the capacity of joint flexibility to dissipate energy.
- (2)
- The largest displacement concentration occurs at the three-lane sidewall, reflecting the influence of structural asymmetry. The center wall experiences the smallest displacement, while the two-lane sidewall falls in between. For the prefabricated structure, the maximum inter-storey drift ratio reaches 1/489, remaining below the plastic limit of 1/250 and thereby indicating that the structure largely retains its integrity under a peak input acceleration of 0.4 g.
- (3)
- The seismic-induced joint deformations of the prefabricated structure are characterized by maximum tensile opening at the two-lane sidewall joint and maximum slip at the three-lane sidewall joint. The recorded maximum opening is 1.6 mm, below the commonly accepted deformation threshold of 2 mm used in shield tunnel practice. These results suggest that both waterproofing and alignment requirements can be satisfied under the studied loading conditions.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Soil Layer Number | Name | Thickness (m) | Dynamic Elastic Modulus (MPa) | Dynamic Poisson Ratio | Density (kg/m3) | Shear Wave Velocity (m/s) |
---|---|---|---|---|---|---|
1 | Miscellaneous Fill | 1 | 30 | 0.3 | 1800 | 150 |
2 | Fine Fill | 3 | 50 | 0.3 | 2000 | 180 |
3 | Sand and Gravel | 5 | 100 | 0.3 | 2200 | 300 |
4 | Medium-Dense Sand and Gravel | 8 | 140 | 0.3 | 2200 | 320 |
5 | Dense Sand and Gravel | 18 | 160 | 0.3 | 2200 | 350 |
Modulus (GPa) | Poisson’s Ratio | Dilatancy Angle (°) | Eccentricity | f b0/f c0 | K | Viscosity Coefficient |
---|---|---|---|---|---|---|
29.8 | 0.2 | 30 | 0.1 | 1.16 | 0.6667 | 0.0005 |
Modulus (GPa) | Poisson’s Ratio | Dilatancy Angle (°) | Eccentricity | f b0/f c0 | K | Viscosity Coefficient |
---|---|---|---|---|---|---|
34.6 | 0.2 | 35 | 0.1 | 1.16 | 0.6667 | 0.0005 |
Seismic Load | PGA (g) | Inter-Storey Drift Ratio | |||||
---|---|---|---|---|---|---|---|
Cast-In-Place Underpass (CIP) | Prefabricated Underpass | ||||||
3-Lane Wall | 2-Lane Wall | Middle Wall | 3-Lane Wall | 2-Lane Wall | Middle Wall | ||
Wolong | 0.1 | 1/3857 | 1/8021 | 1/11129 | 1/1689 | 1/3421 | 1/5269 |
0.2 | 1/3018 | 1/5405 | 1/5400 | 1/1247 | 1/1675 | 1/1936 | |
0.4 | 1/2191 | 1/3334 | 1/2755 | 1/742 | 1/1328 | 1/972 | |
Kobe | 0.1 | 1/8003 | 1/9663 | 1/13571 | 1/2252 | 1/4330 | 1/5269 |
0.2 | 1/5405 | 1/6512 | 1/6585 | 1/1662 | 1/2123 | 1/1936 | |
0.4 | 1/3227 | 1/4016 | 1/3359 | 1/989 | 1/1681 | 1/972 | |
Northridge | 0.1 | 1/3353 | 1/7426 | 1/8431 | 1/1141 | 1/2311 | 1/6198 |
0.2 | 1/2634 | 1/5004 | 1/4090 | 1/842 | 1/1134 | 1/2176 | |
0.4 | 1/1875 | 1/3087 | 1/2787 | 1/489 | 1/897 | 1/1144 |
Seismic Load | PGA (g) | Joint Deformation (mm) | |||||
---|---|---|---|---|---|---|---|
Opening | Slipping | ||||||
Joint 1 | Joint 2 | Joint 3 | Joint 1 | Joint 2 | Joint 3 | ||
Wolong | 0.1 | 0.062 | 0.631 | 0.849 | 0.008 | 0.14 | 0.21 |
0.2 | 0.124 | 1.026 | 0.782 | 0.12 | 0.04 | 0.24 | |
0.4 | 0.126 | 1.582 | 0.507 | 0.16 | 0.07 | 0.25 | |
Kobe | 0.1 | 0.027 | 0.426 | 0.52 | 0.005 | 0.076 | 0.1302 |
0.2 | 0.064 | 0.572 | 0.483 | 0.074 | 0.036 | 0.1488 | |
0.4 | 0.078 | 0.896 | 0.392 | 0.099 | 0.043 | 0.155 | |
Northridge | 0.1 | 0.096 | 1.002 | 1.224 | 0.011 | 0.037 | 0.312 |
0.2 | 0.192 | 1.224 | 1.114 | 0.197 | 0.083 | 0.327 | |
0.4 | 0.202 | 1.357 | 0.316 | 0.278 | 0.146 | 0.403 |
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Jin, Z.; Xu, N.; Zhao, K.; Wu, J. Comparative Analysis of the Seismic Performance of Prefabricated and Cast-in-Place Urban Underpasses Using 3D FEM. Buildings 2025, 15, 3150. https://doi.org/10.3390/buildings15173150
Jin Z, Xu N, Zhao K, Wu J. Comparative Analysis of the Seismic Performance of Prefabricated and Cast-in-Place Urban Underpasses Using 3D FEM. Buildings. 2025; 15(17):3150. https://doi.org/10.3390/buildings15173150
Chicago/Turabian StyleJin, Zhiyi, Ning Xu, Kai Zhao, and Jin Wu. 2025. "Comparative Analysis of the Seismic Performance of Prefabricated and Cast-in-Place Urban Underpasses Using 3D FEM" Buildings 15, no. 17: 3150. https://doi.org/10.3390/buildings15173150
APA StyleJin, Z., Xu, N., Zhao, K., & Wu, J. (2025). Comparative Analysis of the Seismic Performance of Prefabricated and Cast-in-Place Urban Underpasses Using 3D FEM. Buildings, 15(17), 3150. https://doi.org/10.3390/buildings15173150