journal article·2026-07Open access

Experimental investigation and machine learning prediction of steel fiber-aggregate mixture packing density for shield tunnel segments

Quan Zhang, Xiaohui Zhang, Shunhua Zhou, Haocun Wang, Hanting Liu, Zhanlin Cao, Zhiyao Tian, Chao He

Abstract

A thorough understanding of material-process interactions and machine learning modeling strategies is essential for cost-effective precast production of steel fiber-reinforced tunnel segment concrete. This study designed tunnel segment-based vibration-densification tests to investigate the coupled effects of fiber geometry, aggregate combinations, and vibration compaction on mixture packing density. Using the experimental dataset, four machine learning models were developed to compare the mixture packing density predictabilities. The model's applicability was rigorously verified with extensive test and validation sets, and the significance of input material factors was assessed through feature importance analysis. Results indicate that mixture packing density first increases and then decreases with increasing coarse-aggregate content wₐ ; optimal coarse-aggregate content wₐ = 30%–60% and aggregate-size ratio d ₂/ d ₁ = 3.59–6.41 provide a quantitative basis for densification-skeleton design. Increasing steel fiber content and aspect ratio consistently reduces packing density, with hooked-end and waved fibers exhibiting greater adverse effects than straight-milled fibers due to hooking interactions—providing direct guidance for fiber selection in practice. Loose and dense packing densities have a stable linear relationship (R² > 0.94), enabling quick estimation of vibration-compacted density from loose measurements. By explicitly incorporating aggregate and fiber characteristics as inputs, the backpropagation neural network model demonstrates high predictive accuracy than others, while feature importance analysis identifies the most influential factors as coarse-aggregate content and steel fiber dosage. This study provides both experimental insights and an intelligent predictive tool to support performance-driven and cost-effective mixture design for steel fiber–reinforced concrete tunnel segments.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Innovative concrete reinforcement materials · Composite Material Mechanics · Asphalt Pavement Performance Evaluation

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (42)

Show source-provided references
1. Resilience-based design for subway shield tunnels in soft soils: a perspective from the tunnel-soil system
2. Influence of steel fiber distribution and orientation on flexural bearingcapacity of concrete segments
3. A study on the bending stiffness of reinforced concrete tunnel segments with added steel fibers10.3390/ma18010048 ↗
4. Steel fiber and aggregate distributions in RC-SFRC segments for shield tunnel linings: an experimental and statistical modeling study
5. Development and experimental verification of a design method for steel fibre-reinforced high strength lightweight self-compacting concrete10.1016/j.conbuildmat.2024.139012 ↗
6. Distributions of coarse aggregate and steel fiber in ultra-high performance concrete: migration behavior and correlation with compressive strength
7. A novel prediction model of packing density for single and hybrid steel fiber-aggregate mixtures10.1016/j.powtec.2023.118295 ↗
8. Aggregate packing and -void saturation in mortar and concrete proportioning10.1617/s11527-007-9275-4 ↗
9. A vibration-based approach for predicting packing density of steel fiber-graded aggregate mixture in shield tunnel segments10.1016/j.powtec.2026.122598 ↗
10. Developing a novel mix design methodology for slow hardening composite cement concretes through packing density approach10.1016/j.conbuildmat.2021.124391 ↗
11. An advanced approach to concrete mix proportion design: Integrating artificial intelligence with dense packing theory10.1016/j.istruc.2025.110855 ↗
12. Fire-retarding asphalt pavement for urban road tunnels: a state-of-the-art review and beyond10.1007/s10694-024-01556-2 ↗
13. Packing of aggregates: An alternative tool to determine the optimal aggregate mix
14. Parameter determination of the Compressible Packing Model (CPM) for concrete application10.1016/j.powtec.2019.11.085 ↗
15. A 3-parameter particle packing model incorporating the wedging effect10.1016/j.powtec.2013.01.043 ↗
16. The 4-parameter Compressible Packing Model (CPM) including a new theory about wall effect and loosening effect for spheres10.1016/j.powtec.2016.08.031 ↗
17. A nonlinear packing model for multi-sized particle mixtures10.1016/j.powtec.2018.06.008 ↗
18. Scaling relationships for strip fibre-reinforced aggregates10.1139/cgj-2016-0346 ↗
19. Parameter modification and extension of the compressible packing model (CPM) for steel fiber-aggregate mixtures10.1016/j.powtec.2023.118479 ↗
20. Effect of rigid fibres on aggregate packing10.1016/j.conbuildmat.2019.07.072 ↗
21. Coupled effect of fiber and granular skeleton characteristics on packing density of fiber-aggregate mixtures10.1016/j.conbuildmat.2022.127932 ↗
22. Effect of shape parameters of fiber on the packing structure10.1016/j.powtec.2014.04.048 ↗
23. Packing density measurement and modelling of fine aggregate and mortar10.1016/j.cemconcomp.2009.03.006 ↗
24. Predicting concrete strength through packing density using machine learning models10.1016/j.engappai.2023.107177 ↗
25. Cross-project utilisation of tunnel boring machine (TBM) construction data: a case study using big data from Yin-Song diversion project in China, Georisk: Assessment and Management of Risk for Engineered Systems and
26. Intelligent decision support for tunnel fire incidents: integrating dynamic knowledge graph with large language models10.1016/j.tust.2026.107569 ↗
27. Explainable ensemble learning data-driven modeling of mechanical properties of fiber-reinforced rubberized recycled aggregate concrete
28. Prediction of lining upward movement during shield tunneling using machine learning algorithms and field monitoring data
29. Use of interpretable machine learning approaches for quantificationally understanding the performance of steel fiber-reinforced recycled aggregate concrete: From the perspective of compressive strength and splitting tensile strength10.1016/j.engappai.2024.109170 ↗
30. A lightweight physics-data-driven method for real-time prediction of subgrade settlements induced by shield tunneling10.1111/mice.13512 ↗
31. Research on the influencing factors and correlation of multi-scale morphological descriptors of coarse aggregate10.1016/j.conbuildmat.2024.139402 ↗
32. Inductance-based method evaluation of steel fiber distribution and orientation in hybrid-reinforced segment for shield tunnel linings10.1016/j.ndteint.2025.103610 ↗
33. Influences of PSD curve and vibration on the packing dry density of crushed bentonite pellet mixtures10.1016/j.conbuildmat.2018.07.096 ↗
34. Application of machine learning in caisson inclination prediction: model performance comparison and interpretability analysis
35. Ensemble machine learning paradigms in hydrology: A review10.1016/j.jhydrol.2021.126266 ↗
36. Comparison of machine learning methods for ground settlement prediction with different tunneling datasets10.1016/j.jrmge.2021.08.006 ↗
37. Machine-learning-based models to predict shear transfer strength of concrete joints10.1016/j.engstruct.2021.113253 ↗
38. Machine Learning Approaches for Detecting Tropical Cyclone Formation Using Satellite Data10.3390/rs11101195 ↗
39. Effect of surface texture, size ratio and large particle volume fraction on packing density of binary spherical mixtures10.1007/s10035-019-0978-3 ↗
40. Development of Infilled Cementitious Composites (ICC)10.1016/j.compstruct.2021.113885 ↗
41. Packing density and computational modeling of fiber-aggregate mixtures for steel fiber reinforced concrete shield segments
42. Influence of the granular skeleton packing density on the static elastic modulus of conventional concretes10.1016/j.conbuildmat.2020.118086 ↗