Experimental Investigation of the Mechanical Performance of Steel Fiber-Reinforced Concrete Tunnel Linings Under Freeze–Thaw Cycles
Abstract
1. Introduction
2. Construction of Scaled Tunnel Structure Models
2.1. Design of the Tunnel Structure Model Test
2.2. Casting of Tunnel Models
2.3. Similitude Relationships and Test Materials
3. Freeze–Thaw Cycling and Loading Tests on a Tunnel Structure Model
3.1. Freeze–Thaw Cycle Test Design
3.2. Loading System for Tunnel Models
3.3. Experimental Loading Protocol
3.4. Theoretical Background
4. Analysis of Mechanical Characteristics of Tunnel Lining Structural Models
4.1. Loading Process and Failure Modes of Tunnel Lining Structures
- (1)
- Failure of S1 Tunnel Lining Models
- (2)
- Analysis of the Failure Process in S2 Tunnel Lining Models
- (3)
- Analysis of Failure Process in SF1 Tunnel Lining Models
- (4)
- Analysis of Failure Process in SF2 Tunnel Lining Models
4.2. Comparative Analysis of Lining Models Under Freeze–Thaw and Non-Freeze–Thaw Conditions
- Bearing Capacity Ranking and Deterioration Pattern: Under non-freeze–thaw conditions, the ultimate bearing capacities of the models rank as SF2-1 > S2-1 > SF1-1 > S1. Following freeze–thaw cycles, this order shifts to SF2-2 > SF1-2 > S2-2 > S1. The results indicate that freeze–thaw action significantly deteriorates the mechanical properties of the structures, leading to a general reduction in bearing capacity and altering the ranking. This underlines the more pronounced weakening effect of freeze–thaw environments on reinforced concrete structures.
- Comparative Effectiveness of Strengthening: Relative to the PC benchmark, the bearing capacities of models S2-1, SF1-1, and SF2-1 increased by 54%, 47%, and 92%, respectively, under non-freeze–thaw conditions. After freeze–thaw exposure, the corresponding increases for S2-2, SF1-2, and SF2-2 dropped to 20%, 25.3%, and 72.2%. Although the strengthening measures remain effective post-freeze–thaw, their enhancement effect is attenuated. Notably, the most significant reduction in the capacity enhancement rate was observed in the RC structure (S2-2).
- Comparative Performance of RC vs. SFRC: Under identical reinforcement ratios and steel fiber volume fractions, the bearing capacity of RC exceeds that of SFRC by 5% under non-freeze–thaw conditions, highlighting the strengthening advantage of continuous reinforcement. However, after freeze–thaw cycling, the bearing capacity of SFRC surpasses that of reinforced concrete by 4.2%. This reversal indicates that SFRC not only has the potential to substitute conventional RC but also exhibits superior durability in resisting freeze–thaw deterioration.
- Model SF2-1 (R/SFRC) exhibits the highest bearing capacity under non-freeze–thaw conditions, demonstrating the additive effect of hybrid reinforcement. Post-freeze–thaw, model SF2-2 retains the highest bearing capacity and a maximum enhancement rate of 72.2%, confirming that incorporating an appropriate amount of steel fibers, even with a reduced reinforcement ratio, not only compensates for capacity loss but also effectively enhances crack resistance and ductility under freeze–thaw exposure.
- Although SFRC demonstrates superior bearing capacity after freeze–thaw compared to RC, cracks tend to propagate along fiber–matrix interfaces or through weak zones between fibers due to the discontinuous distribution of steel fibers within the matrix. This micro-mechanism fundamentally determines that, despite exhibiting favorable toughness and frost resistance macroscopically, SFRC differs essentially from continuous RC in terms of crack control and structural integrity.
4.3. Structural Analysis of Tunnel Lining Models
- The ultimate bearing capacity ranks in the order: SF2-1 > SF2-2 > S2-1 > SF1-1 > SF1-2 > S2-2 > S1.
- As shown in Figure 19, the percentage increase in bearing capacity relative to the plain concrete (S1) lining follows the sequence: SF2-1 > SF2-2 > S2-1 > SF1-1 > SF1-2 > S2-2. The results indicate a significant reduction in structural capacity due to freeze–thaw action, with reductions of up to 20% observed under identical conditions.
- The discontinuous distribution of steel fibers forces cracks to propagate through the intervening concrete matrix. Consequently, fracture morphology and failure surfaces reveal that steel fiber-reinforced concrete exhibits brittle failure analogous to plain concrete, with post-freeze–thaw brittleness becoming markedly more pronounced. Notably, failure in plain steel fiber-reinforced concrete specimens occurs as brittle fracture of the concrete matrix between non-continuous fibers.
- In the reinforced tunnel lining models, the continuity of the steel reinforcement substantially improved structural ductility under freeze–thaw conditions. Therefore, based on the experimental data from both non-freeze–thaw and freeze–thaw tunnel lining model tests, the optimal structural configuration among the tested models is identified as steel bar and steel fiber-reinforced concrete.
5. Analysis of Mechanical Behavior in the Optimal Tunnel Lining Structure
- During the initial elastic stage, the axial force increased linearly with the vertical load. The first tensile cracks initiated at the inner side of the vault at vertical loads of approximately 24 KN (non-F-T) and 20 KN (F-T conditioned), respectively, inducing noticeable oscillations in the axial force curves.
- With a further increase in load, a second tensile crack emerged in the right invert area, leading to a gradual transition in the axial force curves from linear to nonlinear. The subsequent formation of a third crack in the left haunch region indicated a shift in the primary cracking zone toward the haunch.
- Continued loading prompted the formation of plastic hinges between the arch foot and the invert, which significantly altered and intensified the internal axial force distribution. The axial force rose sharply, peaking simultaneously in both the vault and arch foot regions, thereby identifying these as the critical zones governing structural performance. After the vertical load reached approximately 65 KN (non-F-T) and 55 KN (F-T conditioned), respectively, all lining sections entered the failure stage, marked by a definitive decrease in axial force indicating structural unloading and collapse.
- During the initial elastic stage, the bending moment increased linearly with the vertical load, indicating negligible structural damage. Upon reaching vertical loads of approximately 24 KN (non-F-T) and 20 KN (F-T conditioned), respectively, crack initiation at the vault triggered internal force redistribution, resulting in slight deviations from linearity in the bending moment curves.
- The propagation of cracks led to a divergence in the bending moments developed at the invert, haunch, and arch foot sections. As illustrated, positive bending moments were recorded at the vault (Section 1) and invert (Sections 4 and 5), corresponding to compression on the outer face and tension on the inner face. Conversely, negative bending moments were observed at the haunch (Sections 2 and 7) and arch foot (Sections 3 and 6), indicating tension on the outer face and compression on the inner face.
- With a further increase in load beyond approximately 45 KN (non-F-T), crack development intensified, particularly in the vault and invert regions. The bending moment curves exhibited significant oscillations at key sections, followed by a rapid increase as the load approached the ultimate state. Upon entering the failure stage, the overall growth rate of the bending moments slowed or declined, indicating that progressive cracking and the formation of plastic hinges reduced the structural stiffness and altered the internal force redistribution mechanism.
- During the initial loading stage, both the axial force and bending moment increased nearly proportionally with the applied load for both conditions, indicating a predominantly linear-elastic material response with negligible damage accumulation.
- Throughout the entire loading history, the development of internal forces was more gradual and sustained significantly higher load levels in the non-F-T-conditioned lining compared to its F-T-exposed counterpart. This demonstrates that the freeze–thaw cycles notably increased material brittleness and reduced the structural ductility.
- The observed mechanical behavior, coupled with the crack propagation patterns, indicates that the incorporation of steel fibers effectively delayed the sudden brittle fracture of the lining sections. This confirms that a suitable volume fraction of steel fibers can enhance structural ductility and suppress crack propagation in tunnel linings.
6. Conclusions
- The vault and arch foot were identified as the most vulnerable zones, being the first to exhibit cracks of varying severity. The stress state at the arch foot was particularly complex, leading to pronounced crack propagation, typically in a triangular pattern, and resulting in severe damage.
- Compared to the non-freeze–thaw (F-T)-conditioned specimens, F-T cycles increased the brittleness and reduced the ultimate bearing capacity of the lining. Although the addition of steel fibers improved overall ductility, crack propagation still occurred through the concrete matrix between the fibers. All steel-reinforced models demonstrated significantly higher bearing capacity and ductility than their unreinforced counterparts. Compared to non-freeze–thaw SFRC (SF1-2), the load-bearing capacity of freeze–thaw-cycled R/SFRC (SF2-2) increased by approximately 37.4%.
- Under the specific reinforcement ratio and steel fiber volume fraction conditions adopted in this test, the load-bearing capacity of reinforced concrete was 4.2% lower than that of plain steel fiber-reinforced concrete, indicating that steel fiber-reinforced concrete structures can serve as a viable alternative to traditional reinforced concrete structures at certain fiber volume fractions. Furthermore, the fiber-reinforced specimens exhibited superior freeze–thaw resistance and enhanced crack resistance, thereby improving the relative ductility of the structure under freeze–thaw conditions.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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| Mineral Admixture | Cementitious Material | Fine Aggregate | Coarse Aggregate | Steel Fiber | Superplasticizer |
|---|---|---|---|---|---|
| Silica Fume | Cement | Natural River Sand (fineness modulus: 2.6) | Coarse Aggregate (maximum aggregate size did not exceed 20 mm or two thirds of the steel fiber length) | Milled Steel Fiber (length: 25–35 mm; diameter: 2.45 mm) | Polycarboxylate-Based Superplasticizer |
| Property | Physical Quantity | Unit | Similitude Ratio | Property | Physical Quantity | Unit | Similitude Ratio |
|---|---|---|---|---|---|---|---|
| Material | Stress | MPa | Geometry and Loading | Dimensions | m | ||
| Young’s Modulus | GPa | Displacement | m | ||||
| Density | Kg/m3 | Concentrated Force | N | ||||
| Strain | — | Bending Moment | N.m | ||||
| Poisson’s Ratio | — | Coefficient of Elastic Resistance | N/m3 |
| Model Types of Tunnel Structures | Specimen ID | Number of Freeze–Thaw Cycles | Silica Fume Content | SF Volume Fraction | Water Binder Ratio | Reinforcement Ratio | Freeze–Thaw Condition |
|---|---|---|---|---|---|---|---|
| PC | S1 | 0 | 0 | 0 | 0.40 | 0 | NO |
| RC | S2-1 | 0 | 0 | 0 | 0.40 | 0.45% | NO |
| S2-2 | 100 | 0 | 0 | 0.40 | 0.45% | YES | |
| SFRC | SF1-1 | 0 | 10% | 1.5% | 0.40 | 0 | NO |
| SF1-2 | 100 | 10% | 1.5% | 0.40 | 0 | YES | |
| R/SFRC | SF2-1 | 0 | 10% | 1.5% | 0.40 | 0.36% | NO |
| SF2-2 | 100 | 10% | 1.5% | 0.40 | 0.36% | YES |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
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Wu, L.-M.; Gao, F.; Wang, Z.-J.; Li, L.-S.; Huang, H.-X.-T.; Luo, W.-J. Experimental Investigation of the Mechanical Performance of Steel Fiber-Reinforced Concrete Tunnel Linings Under Freeze–Thaw Cycles. Appl. Sci. 2026, 16, 3178. https://doi.org/10.3390/app16073178
Wu L-M, Gao F, Wang Z-J, Li L-S, Huang H-X-T, Luo W-J. Experimental Investigation of the Mechanical Performance of Steel Fiber-Reinforced Concrete Tunnel Linings Under Freeze–Thaw Cycles. Applied Sciences. 2026; 16(7):3178. https://doi.org/10.3390/app16073178
Chicago/Turabian StyleWu, Li-Ming, Feng Gao, Zi-Jian Wang, Lan-Shen Li, Hu-Xin-Tong Huang, and Wen-Jie Luo. 2026. "Experimental Investigation of the Mechanical Performance of Steel Fiber-Reinforced Concrete Tunnel Linings Under Freeze–Thaw Cycles" Applied Sciences 16, no. 7: 3178. https://doi.org/10.3390/app16073178
APA StyleWu, L.-M., Gao, F., Wang, Z.-J., Li, L.-S., Huang, H.-X.-T., & Luo, W.-J. (2026). Experimental Investigation of the Mechanical Performance of Steel Fiber-Reinforced Concrete Tunnel Linings Under Freeze–Thaw Cycles. Applied Sciences, 16(7), 3178. https://doi.org/10.3390/app16073178

