Data-Driven Predictive Formulation for FRP-Confined Circular Concrete Columns

Document Type : Original Article

Authors

1 Department of Civil Engineering, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

2 Department of Civil Engineering, University of Minho, Azurém, Guimarães 4800-058, Portugal

Abstract

This study presents a new design-oriented, regression-based model for predicting the ultimate compressive strength of circular concrete columns confined with fiber-reinforced polymer (FRP) jackets. The model is grounded in fundamental confinement mechanics and accounts for key parameters, including FRP elastic modulus, ultimate tensile strain, confinement stiffness, unconfined concrete strength, and column diameter. A comprehensive and rigorously filtered experimental database comprising 1,376 FRP-confined circular concrete specimens was assembled, covering concrete strengths from 6.6 to 204 MPa and FRP types including CFRP, GFRP, BFRP, and AFRP. A carefully curated experimental database of 1,376 circular FRP-confined specimens was assembled, covering a broad spectrum of concrete strengths and FRP types. Regression analysis was used to calibrate the model, and a dimension-based correction factor was incorporated to capture the influence of cross-sectional geometry. The resulting formulation demonstrates robust predictive capability and general applicability across diverse concrete strengths and column geometries, providing a reliable tool for practical engineering design. Parametric studies further illustrate how confinement efficiency varies with concrete strength and FRP properties, offering guidance for optimizing FRP confinement in practice.

Keywords

Main Subjects


  1. Isleem Haytham, F., Wang, Z., Wang, D., Smith Scott, T. Monotonic and Cyclic Axial Compressive Behavior of CFRP-Confined Rectangular RC Columns. Journal of Composites for Construction, 2018; 22: 04018023. doi:10.1061/(ASCE)CC.1943-5614.0000860.
  2. Shayanfar, J., Bengar, H. A. A practical model for simulating nonlinear behaviour of FRP strengthened RC beam-column joints. Steel and Composite Structures, 2018; 27: 49–74. doi:10.12989/scs.2018.27.1.049.
  3. Nematzadeh, M., Mousavimehr, M., Shayanfar, J., Omidalizadeh, M. Eccentric compressive behavior of steel fiber-reinforced RC columns strengthened with CFRP wraps: Experimental investigation and analytical modeling. Engineering Structures, 2021; 226: 111389. doi:10.1016/j.engstruct.2020.111389.
  4. Shayanfar, J., Barros Joaquim, A. O., Abedi, M., Rezazadeh, M. Unified Compressive Strength and Strain Ductility Models for Fully and Partially FRP-Confined Circular, Square, and Rectangular Concrete Columns. Journal of Composites for Construction, 2023; 27: 04023053. doi:10.1061/JCCOF2.CCENG-4336.
  5. Shayanfar, J., Barros, J. A. O., Pereira, J. P. C. A versatile model with a design framework for axially-loaded FRP-confined concrete with/without a stress reduction-recovery behavior. Construction and Building Materials, 2024; 448: 138097. doi:10.1016/j.conbuildmat.2024.138097.
  6. Shayanfar, J., Pereira, J. P. C., Barros, J. A. O. Passive confinement scenarios for strengthening fire-damaged concrete columns: Experimental and analytical research. Structures, 2025; 73: 108375. doi:10.1016/j.istruc.2025.108375.
  7. Liu, P., Wang, X., He, W., Lu, D., Wu, Z., Zhang, X., Shao, Y. Axial compressive behavior of concrete columns strengthened with BFRP grids. Construction and Building Materials, 2025; 477: 141305. doi:10.1016/j.conbuildmat.2025.141305.
  8. Lam, L., Teng, J. G. Design-oriented stress–strain model for FRP-confined concrete. Construction and Building Materials, 2003; 17: 471–489. doi:10.1016/S0950-0618(03)00045-X.
  9. Fallah Pour, A., Nguyen, G. D., Vincent, T., Ozbakkaloglu, T. Investigation of the compressive behavior and failure modes of unconfined and FRP-confined concrete using digital image correlation. Composite Structures, 2020; 252: 112642. doi:10.1016/j.compstruct.2020.112642.
  10. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Cross-sectional and confining system unification on peak compressive strength of FRP confined concrete. Structural Concrete, 2023; 24: 1531–1545. doi:10.1002/suco.202200105.
  11. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Analytical model to predict axial stress-strain behavior of heat-damaged unreinforced concrete columns wrapped by FRP jacket. Engineering Structures, 2023; 289: 116244. doi:10.1016/j.engstruct.2023.116244.
  12. Liao, J., Zeng, J.-J., Zhuge, Y., Zheng, Y., Ma, G., Zhang, L. FRP-confined concrete columns with a stress reduction-recovery behavior: A state-of-the-art review, design recommendations and model assessments. Composite Structures, 2023; 321: 117313. doi:10.1016/j.compstruct.2023.117313.
  13. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Analysis-oriented model for partially FRP-and-steel-confined circular RC columns under compression. Engineering Structures, 2023; 276: 115330. doi:10.1016/j.engstruct.2022.115330.
  14. Shayanfar, J., Barros Joaquim, A. O., Rezazadeh, M. Stress–Strain Model for FRP-Confined Circular Concrete Columns Developing Structural Softening Behavior. Journal of Composites for Construction, 2024; 28: 04023065. doi:10.1061/JCCOF2.CCENG-4364.
  15. Shayanfar, J., Barros, J. A. O., Rezazadeh, M., Kafshgarkolaei, H. J. Enhancing the performance of heat-damaged rectangular RC columns using prestressed FRP confinement. Construction and Building Materials, 2025; 501: 144346. doi:10.1016/j.conbuildmat.2025.144346.
  16. Zeng, J.-J., Chen, J.-D., Liao, J., Chen, W.-J., Zhuge, Y., Liu, Y. Behavior of ultra-high performance concrete under true tri-axial compression. Construction and Building Materials, 2024; 411: 134450. doi:10.1016/j.conbuildmat.2023.134450.
  17. Ozbakkaloglu, T., Akin, E. Behavior of FRP-Confined Normal- and High-Strength Concrete under Cyclic Axial Compression. Journal of Composites for Construction, 2012; 16: 451–463. doi:10.1061/(ASCE)CC.1943-5614.0000273.
  18. Wei, Y., Wu, Y.-F. Experimental Study of Concrete Columns with Localized Failure. Journal of Composites for Construction, 2016; 20: 04016032. doi:10.1061/(ASCE)CC.1943-5614.0000686.
  19. Shan, B., Gui, F. C., Monti, G., Xiao, Y. Effectiveness of CFRP Confinement and Compressive Strength of Square Concrete Columns. Journal of Composites for Construction, 2019; 23: 04019043. doi:10.1061/(ASCE)CC.1943-5614.0000967.
  20. Shayanfar, J., Barros Joaquim, A. O. Design-Oriented Model of Unified Character to Determine Softening–Hardening Stress–Strain Behavior of FRP-Confined Concrete Columns of General Cross Section. Journal of Composites for Construction, 2024; 28: 04024059. doi:10.1061/JCCOF2.CCENG-4772.
  21. Wang, J., Xiao, H., Lu, L., Yang, J., Lu, S., Shayanfar, J. Axial stress-strain model for concrete in partially FRP wrapped reinforced concrete columns. Construction and Building Materials, 2024; 416: 135028. doi:10.1016/j.conbuildmat.2024.135028.
  22. Demir, U., Ispir, M., Sahinkaya, Y., Arslan, G., Ilki, A. Axial Behavior of Noncircular High-Performance Fiber-Reinforced Cementitious Composite Members Externally Jacketed by CFRP Sheets. Journal of Composites for Construction, 2019; 23: 04019022. doi:10.1061/(ASCE)CC.1943-5614.0000940.
  23. de Oliveira Diôgo, S., Raiz, V., Carrazedo, R. Experimental Study on Normal-Strength, High-Strength and Ultrahigh-Strength Concrete Confined by Carbon and Glass FRP Laminates. Journal of Composites for Construction, 2019; 23: 04018072. doi:10.1061/(ASCE)CC.1943-5614.0000912.
  24. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Generalized Analysis-oriented model of FRP confined concrete circular columns. Composite Structures, 2021; 270: 114026. doi:10.1016/j.compstruct.2021.114026.
  25. Shayanfar, J., Barros, J. A., Rezazadeh, M. Unified model for fully and partially FRP confined circular and square concrete columns subjected to axial compression. Engineering Structures, 2022; 251: 113355. doi:10.1016/j.engstruct.2021.113355.
  26. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Design-oriented stress–strain model for RC columns with dual FRP- steel confinement mechanism. Composite Structures, 2024; 330: 117821. doi:10.1016/j.compstruct.2023.117821.
  27. Vincent, T., Ozbakkaloglu, T. Influence of concrete strength and confinement method on axial compressive behavior of FRP confined high- and ultra high-strength concrete. Composites Part B: Engineering, 2013; 50: 413–428. doi:10.1016/j.compositesb.2013.02.017.
  28. Xiao, Q. G., Teng, J. G., Yu, T. Behavior and Modeling of Confined High-Strength Concrete. Journal of Composites for Construction, 2010; 14: 249–259. doi:10.1061/(ASCE)CC.1943-5614.0000070.
  29. Ozbakkaloglu, T. Axial Compressive Behavior of Square and Rectangular High-Strength Concrete-Filled FRP Tubes. Journal of Composites for Construction, 2013; 17: 151–161. doi:10.1061/(ASCE)CC.1943-5614.0000321.
  30. Wang, D. Y., Wang, Z. Y., Smith, S. T., Yu, T. Size effect on axial stress-strain behavior of CFRP-confined square concrete columns. Construction and Building Materials, 2016; 118: 116–126. doi:10.1016/j.conbuildmat.2016.04.158.
  31. Bengar, H. A., Kiadehi, M. A., Shayanfar, J., Nazari, M. Effective flexural rigidities for RC beams and columns with steel fiber. Steel and Composite Structures, 2020; 34: 453–465. doi:10.12989/scs.2020.34.3.453.
  32. Shayanfar, J., Rezazadeh, M., Barros Joaquim, A. Analytical Model to Predict Dilation Behavior of FRP Confined Circular Concrete Columns Subjected to Axial Compressive Loading. Journal of Composites for Construction, 2020; 24: 04020071. doi:10.1061/(ASCE)CC.1943-5614.0001087.
  33. Shayanfar, J., Barros, J. A. O., Rezazadeh, M. Stress–strain model for FRP confined heat-damaged concrete columns. Fire Safety Journal, 2023; 136: 103748. doi:10.1016/j.firesaf.2023.103748.
  34. Shayanfar, J., Akbarzadeh Bengar, H. Nonlinear analysis of RC frames considering shear behaviour of members under varying axial load. Bulletin of Earthquake Engineering, 2017; 15: 2055–2078. doi:10.1007/s10518-016-0060-z.
  35. Shayanfar, J., Bengar, H. A. Numerical model to simulate shear behaviour of RC joints and columns. Computers and Concrete, An International Journal, 2016; 18: 877–901. doi:10.12989/cac.2016.18.4.877.
  36. Han, Q., Yuan, W., Bai, Y., Du, X. Compressive behavior of large rupture strain (LRS) FRP-confined square concrete columns: experimental study and model evaluation. Materials and Structures, 2020; 53: 99. doi:10.1617/s11527-020-01534-4.
  37. Tariq, M., Khan, A., Shayanfar, J., Hanif, M. U., Ullah, A. A regression model for predicting the shear strength of RC knee joint subjected to opening and closing moment. Journal of Building Engineering, 2021; 41: 102727. doi:10.1016/j.jobe.2021.102727.
  38. Tariq, M., Khan, A., Ullah, A., Shayanfar, J., Niaz, M. Improved Shear Strength Prediction Model of Steel Fiber Reinforced Concrete Beams by Adopting Gene Expression Programming. Materials, 2022; 15: 3758. doi:10.3390/ma15113758.
  39. Shayanfar, J., Kafshgarkolaei, H. J., Barros, J. A. O., Rezazadeh, M. Unified strength model for FRP confined heat-damaged circular and square concrete columns. Composite Structures, 2023; 307: 116647. doi:10.1016/j.compstruct.2022.116647.
  40. Li, P.-D., Zeng, Q., Jiang, J.-F. Stiffness-based stress–strain model of FRP-confined high-strength and ultra-high strength concrete column with various corner radii. Construction and Building Materials, 2023; 409: 133873. doi:10.1016/j.conbuildmat.2023.133873.
  41. Jiang, T., Teng, J. G. Analysis-oriented stress–strain models for FRP–confined concrete. Engineering Structures, 2007; 29: 2968–2986. doi:10.1016/j.engstruct.2007.01.010.
  42. Lim, J. C., Ozbakkaloglu, T. Hoop strains in FRP-confined concrete columns: experimental observations. Materials and Structures, 2015; 48: 2839–2854. doi:10.1617/s11527-014-0358-8.
  43. Shayanfar, J., Akbarzadeh Bengar, H., Niroomandi, A. A proposed model for predicting nonlinear behavior of RC joints under seismic loads. Materials & Design, 2016; 95: 563–579. doi:10.1016/j.matdes.2016.01.098.
  44. Shayanfar, J., Bengar, H. A., Parvin, A. Analytical prediction of seismic behavior of RC joints and columns under varying axial load. Engineering Structures, 2018; 174: 792–813. doi:10.1016/j.engstruct.2018.07.103.
  45. Shayanfar, J., Hemmati, A., Bengar, H. A. A simplified numerical model to simulate RC beam–column joints collapse. Bulletin of Earthquake Engineering, 2019; 17: 803–844. doi:10.1007/s10518-018-0472-z.
  46. Guo, Y.-C., Xiao, S.-H., Luo, J.-W., Ye, Y.-Y., Zeng, J.-J. Confined Concrete in Fiber-Reinforced Polymer Partially Wrapped Square Columns: Axial Compressive Behavior and Strain Distributions by a Particle Image Velocimetry Sensing Technique. Sensors, 2018; 18: 4118. doi:10.3390/s18124118.
  47. Cao, Y.-G., Jiang, C., Wu, Y.-F. Cross-Sectional Unification on the Stress-Strain Model of Concrete Subjected to High Passive Confinement by Fiber-Reinforced Polymer. Polymers, 2016; 8: 186. doi:10.3390/polym8050186.
  48. Cao, Y., Liu, Y., Li, X., Wu, Y. Axial stress strain behavior of FRP-confined rectangular rubber concrete columns with different aspect ratio. Engineering Structures, 2023; 297: 116987. doi:10.1016/j.engstruct.2023.116987.
  49. Teng, J. G., Jiang, T., Lam, L., Luo, Y. Z. Refinement of a Design-Oriented Stress–Strain Model for FRP-Confined Concrete. Journal of Composites for Construction, 2009; 13: 269–278. doi:10.1061/(ASCE)CC.1943-5614.0000012.
  50. Wei, Y.-Y., Wu, Y.-F. Unified stress–strain model of concrete for FRP-confined columns. Construction and Building Materials, 2012; 26: 381–392. doi:10.1016/j.conbuildmat.2011.06.037.
  51. Fallah Pour, A., Ozbakkaloglu, T., Vincent, T. Simplified design-oriented axial stress-strain model for FRP-confined normal- and high-strength concrete. Engineering Structures, 2018; 175: 501–516. doi:10.1016/j.engstruct.2018.07.099.
  52. American Concrete Institute (ACI). ACI 440.2R-17: Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures. Farmington Hills (MI): ACI; 2017.
  53. International Federation for Structural Concrete. CEB-FIP: Externally applied FRP reinforcement for concrete structures. Lausanne (CH): FIB BULLETIN NO. 90; 2019.
  54. Lim, J. C., Ozbakkaloglu, T. Stress–strain model for normal- and light-weight concretes under uniaxial and triaxial compression. Construction and Building Materials, 2014; 71: 492–509. doi:10.1016/j.conbuildmat.2014.08.050.
  55. Shayanfar, J. Integrated modelling strategy for FRP-based confinement imposed to RC columns: From undamaged to post-fire damage (PhD Thesis). Braga (PT): University of Minho; 2024.
  56. Akbarzadeh Bengar, H., Abdollahtabar, M., Shayanfar, J. Predicting the Ductility of RC Beams Using Nonlinear Regression and ANN. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2016; 40: 297–310. doi:10.1007/s40996-016-0033-0.
  57. Shayanfar, J., Omidalizadeh, M., Nematzadeh, M. Analysis-oriented model for seismic assessment of RC jacket retrofitted columns. Steel and Composite Structures, 2020; 37: 371–390. doi:10.12989/scs.2020.37.3.371.
Volume 3, Issue 1
Issue in Progress
January 2027
Pages 25-36
  • Receive Date: 10 December 2025
  • Revise Date: 06 January 2026
  • Accept Date: 29 January 2026
  • First Publish Date: 26 March 2026