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Article

Numerical Simulation Analysis of Concrete-Filled Circular CFRP–Steel Middle Long Columns

1
School of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, China
2
Key Laboratory of Health Intelligent Perception and Ecological Restoration of River and Lake, Ministry of Education, Hubei University of Technology, Wuhan 430068, China
3
China Railway Major Bridge Engineering Group Co., Ltd., Wuhan 430050, China
4
School of Engineering Technology, Hubei University of Technology, Wuhan 430068, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2025, 15(11), 6311; https://doi.org/10.3390/app15116311
Submission received: 25 April 2025 / Revised: 22 May 2025 / Accepted: 29 May 2025 / Published: 4 June 2025

Abstract

:
Based on the research on concrete-filled circular steel tubular columns, the influence of carbon-fiber-reinforced polymers (CFRPs) on the ultimate bearing capacity of concrete-filled steel tubes (CFSTs) was further explored in this paper. Ten different concrete-filled circular CFRP–steel middle long columns were made for an axial compression test, and the influence of the CFRP layers, the concrete strength grades, the steel tube wall thickness, and the slenderness ratio on the ultimate bearing capacity was discussed. Combined with theoretical analysis, the calculation method of ultimate bearing capacity of it was found. The load midspan deflection diagram was obtained by numerical simulation with finite element analysis software ANSYS2021R1, and the test results were compared. The results demonstrate that CFRP layers significantly enhance the ultimate bearing capacity of circular steel tube–CFRP confined concrete columns, with one to three layers increasing the capacity by 42.5%, 69.4%, and 88.4%, respectively, under identical conditions. In comparison, the concrete strength, the steel tube thickness, and the slenderness ratio showed lesser effects (<20% improvement), providing critical support for engineering applications of CFRP-confined circular steel tubular columns. Moreover, the error of ANSYS calculation results is small, which is in line with the test. This is of great significance to verify the correctness of the test of concrete-filled circular CFRP–steel middle long columns.

1. Introduction

With the continuous emergence of high-rise buildings worldwide, the demand for structural components with excellent mechanical performance has been growing. Currently, reinforced concrete (RC) columns are widely adopted as the primary load-bearing elements in construction. However, RC columns involve complex construction processes and fail to fully utilize the superior mechanical properties of steel. Consequently, concrete-filled steel tube (CFST) components have emerged as an effective alternative.
Concrete-filled steel tube means to pour concrete into steel pipe, which makes steel pipe and core concrete work together to endure exterior loads. The external steel tube of such components not only bears compressive loads but also confines the internal concrete, thereby further enhancing the compressive capacity. At present, concrete-filled circular steel tubes are mostly used in workshops, bearing columns, and arch ribs of bridges. For instance, the Yajisha bridge in Guangzhou is a half-through concrete-filled steel tube arch bridge, which is composed of six concrete-filled circular steel tubes forming a lattice arch rib. Similarly, the main tower of the Houhu stayed-cable bridge in Wuhan incorporates concrete-filled circular steel tubes. Carbon-fiber-reinforced polymer (CFRP) is a lightweight material with exceptional tensile strength [1,2,3]. It exhibits advantages such as corrosion resistance, fatigue resistance, and minimal creep. Applying CFRP to enhance the ultimate bearing capacity of CFST structures has become an inevitable trend. In this paper, the concrete-filled circular CFRP–steel middle long columns are made of circular steel middle long columns, which are poured with concrete inside and wrapped with CFRP on the outer surface of the steel tube in a circular direction. The axial compressive capacity of concrete-filled steel tubes is enhanced by the high strength tensile property of CFRP so as to strengthen the ultimate bearing capacity of concrete-filled steel tubes [4,5]. Moreover, the bending stiffness and ductility of the CFST are improved, and the local buckling is prevented in the case of large lateral deflection.
In the past two decades, many researchers have raised a variety of discussions in this field. For example, Al-Mekhlafi et al. [6] investigated the behavior of cold-formed thin-walled circular stainless steel tube stub columns fully wrapped with CFRP through axial compression tests and ABAQUS finite element analysis. Experimental and numerical results demonstrated that this strengthening method effectively enhances the ultimate compressive strength of columns. Mahdi et al. [7] experimentally investigated the eccentric compression performance of RC columns strengthened with CFRP and steel fibers. Results demonstrated CFRP effectively enhanced both load-bearing capacity and ductility, while steel fibers mainly improved ductility. Karimian et al. [8] examined CFRP-strengthened circular CFT stub columns with initial imperfections. Using experimental tests and ABAQUS simulations with Riks nonlinear analysis, they found that horizontal imperfections more significantly reduce load-bearing capacity than vertical ones, while CFRP strengthening effectively improves capacity, alleviates stress concentration, and inhibits local buckling. Choi [9,10] conducted sequential studies on the axial compression performance of circular CFT stub columns, first analyzing their fundamental mechanical behavior and then developing a theoretical model to predict the axial yield capacity of CFRP-confined specimens.
L. Liu [11] used ANSYS to simulate the axial compression test of concrete-filled FRP-steel stub columns and obtained the ultimate bearing capacity, which is in line with the test results. By using the ABAQUS, the load–strain curve and stress figures of concrete-filled CFRP–steel stub columns under axial load are simulated, which are consistent with the test results of Z.-X. Jiang [12]. Y. Che [13] carried out experimental research and finite element analysis on concrete-filled CFRP–steel stub columns under axial compression. Y. Xiao [14] defined a “confined concrete-filled steel tube” by the CFRP hoop coefficient, carried out experimental research, and established a theoretical analysis model. However, most of the above studies aimed at research on concrete-filled CFRP–steel stub columns and long columns. The study of concrete-filled CFRP–steel middle long columns is relatively limited. Especially the comprehensive research on the numerical simulation analysis of concrete-filled circular CFRP–steel middle long columns.
In this paper, the axial compression test of ten different concrete-filled circular CFRP–steel middle long columns was carried out. Combined with theoretical analysis, the calculation method of bearing capacity of it was found. The influence of different concrete strength grades, layers of CFRP, and wall thicknesses of steel tubes on the ultimate bearing capacity of samples is discussed. Then, the load midspan deflection curves and ultimate bearing capacity were obtained by finite element analysis software ANSYS2021R1. Compared with the test results, the correctness and practicability of the simulation analysis of concrete-filled circular CFRP–steel middle long columns are further verified, which are of great significance for analyzing the ultimate bearing capacity and theoretical derivation of it.

2. Axial Compression Test

2.1. The Test Sample

The steel tubes used in the samples are Q235 circular cross-section steel tubes with an inner diameter of 160 mm and outer diameters of 165 mm, 167 mm, and 168.5 mm. The cast-in-place concrete column is a cylinder with a diameter of 160 mm. The lengths of the columns are 500 mm, 1000 mm, and 1333 mm. A cover plate is added at the upper and lower ends, with a square cross-section of side length 385 mm and thickness 10 mm. The plate is also made of Q235 steel [15]. Strength grades of concrete: C40, C50, and C60 [16]. Number of CFRP layers: 0, 1, 2, and 3. The specific parameters of the samples are shown in Table 1. The experimental program included 10 groups of column specimens with different configurations, with each group comprising 3 identical specimens for parallel testing to minimize experimental errors.

2.2. Material Performance

2.2.1. Concrete Constituent Materials

The cement used was P.O 42.5 grade ordinary Portland cement. The coarse aggregate was crushed limestone with a particle size range of 5–20 mm and continuous gradation. Natural river sand with a fineness modulus of 2.87 was selected as the fine aggregate. To improve workability, a polycarboxylate-based high-performance water reducer (transparent light-yellow in appearance) with a water reduction rate of 25% was employed.

2.2.2. Concrete Mix Proportion

The mix proportions were designed in accordance with JGJ55-2011 “Specification for Mix Proportion Design of Ordinary Concrete” [16]. The designed concrete strength grades were C40, C50, and C60, with the corresponding mix proportions shown in Table 2.

2.2.3. Mechanical Properties of Materials

The parameters of the concrete, steel pipe, and CFRP used in the experiment are shown in Table 3, Table 4 and Table 5.

2.3. Experimental Process

A 500 t microcomputer-controlled electro-hydraulic servo pressure testing machine was used for the axial compression experiment. As shown in Figure 1, five displacement gauges were, respectively, set at the 1/4 equidistant point of the component and the bottom plate and were used to measure lateral displacement and longitudinal displacement. Four pairs of longitudinal and circumferential resistance strain gauges were set at the middle section of the outer wall of the steel pipe along the circumference and were used to measure the strain at the middle section of the outer wall of the steel pipe [17,18,19]. After pasting CFRP, another four strain gauges were set at the middle section of the column in the horizontal direction. The layout of the strain gauges is based on the relevant provisions of the national standards “Metallic Materials—Tensile Testing at Ambient Temperature” (GB/T 228-2002) [20] and “Test Method for Tensile Properties of Oriented Fiber Reinforced Plastics” (GB/T 3354) [21]. Dynamic and static strain collector DF3817F was used for data acquisition. The data collection was carried out from the beginning of loading the samples. At this time, the pressure gauge pointer of the testing machine started to rotate, and the data collection was uninterrupted during the test until the samples were damaged. Compared with the static strain collector, the dynamic and static collector has obvious advantages, which can be real-time online monitoring, alarming, and printing. It can draw graphics in the software, saving labor costs and reducing errors caused by manual recording so as to improve the overall work efficiency in the test process.
Before the test begins, the upper and lower surfaces of samples should be calibrated and leveled to prevent eccentric compression. When the surface is paved with fine sand, it is leveled horizontally. In order to avoid uneven edges, steel sheets were inserted into the four corners to realize the basic leveling of the surface. In the elastic range, the load of each stage was about 1/10 of the estimated ultimate load. When the steel pipe yielded, the load of each stage was about 1/15 of the estimated ultimate load. When the sample was close to failure, the load of each stage was about 1/20 of the estimated ultimate load, and the load reached a maximum when the pressure gauge pointer of the testing machine began to return to zero. In this paper, the ultimate bearing capacity is defined as the maximum load that the specimen can bear. At this time, the brittle failure of CFRP will occur, and a large cracking sound can be heard. If the loading continues, the elastoplastic bending instability of the sample will occur. In order to ensure the safety of the test, the test is terminated [22,23,24]. The failure mode of all specimens is shown in Figure 2.

2.4. Experimental Results

Based on the aforementioned testing methodology, the experimental data are presented in Table 6.

2.5. Analysis of Results

The experimental observations revealed that all specimens exhibited three distinct behavioral phases: elastic, elastoplastic, and failure stages. During the elastic stage, minimal deformation occurred with the load primarily carried by the concrete core and steel tube. The elastoplastic stage featured progressive concrete cracking and increased lateral deformation, where the steel tube simultaneously resisted axial compression while collaborating with CFRP to restrain transverse expansion. Ultimate failure manifested through concrete crushing, severe steel tube buckling, and CFRP rupture.
Experimental results demonstrate that the ultimate bearing capacity of circular steel tube–CFRP confined concrete intermediate columns is synergistically influenced by concrete strength, steel tube thickness, CFRP layers, and slenderness ratio. While increased concrete strength (up to 20%) and thicker steel tubes (≤20% improvement) provide modest enhancements, CFRP reinforcement shows remarkable effectiveness—specimens with 1, 2, and 3 CFRP layers exhibit 42.5%, 69.4%, and 88.4% capacity increases, respectively, albeit with diminishing returns beyond optimal layer counts. Conversely, capacity reduction correlates strongly with higher slenderness ratios, completing this comprehensive performance characterization for composite column design.

3. Theoretical Calculation of Ultimate Bearing Capacity

3.1. The Selection of Circumferential Tensile Stress in CFRP

According to the analysis of the test results, when the concrete strength grades are C40, C50, and C60, the circumferential tensile strains of CFRP failure are only 68%, 59%, and 50% of the ultimate tensile strain in the tensile test. It can be seen that the actual tensile strength is 68%, 59%, and 50% of the ultimate tensile strength. Then, the actual circumferential tensile strength of CFRP is taken as follows:
f c f = k c f × f f u
k c f   is the effective restraint coefficient of CFRP. When the concrete strength grades are C40, C50, and C60, the values of k c f   are 0.68, 0.59, and 0.5.

3.2. Confinement Effect Coefficient

In order to analyze the influence of the circular steel tube and CFRP, the confinement effect coefficient of the circular steel tube ξ s , the confinement effect coefficient of CFRP ξ c f , and the synthetical confinement effect coefficient ξ   are adopted as follows:
ξ s = A s f s y / A c f c
ξ c f = A c f f f u / A c f c
ξ = ξ s + ξ c f
where   A s ,   A c , and A c f   are the cross-sectional areas of the circular steel tube, concrete, and CFRP, respectively. f s y ,   f c , and f f u   are the yield strength of the circular steel tube, the concrete compression strength, and the ultimate tensile strength of CFRP, respectively.
It can be seen from the formula that the influencing factors of the restraint effect coefficient of concrete-filled circular CFRP–steel middle long columns are the type of steel, the wall thickness of the steel tube, the number of layers of CFRP, the tensile strength of CFRP, and the strength grades of concrete.

3.3. Restraint Tightening-Ring Force of Concrete

In order to analyze the binding effect of the circular steel tube on concrete, the circular steel tube working coefficient k s   and the ratio of principal stress to uniaxial compressive strength under ultimate state of concrete f c are adopted as follows:
p = ( 0.5 k s ξ s + 0.5 k c f ξ c f ) f c
α 1 = p / f c = 0.5 k s ξ s + 0.5 k c f ξ c f
As for concrete-filled circular steel tubular middle long columns, there are many factors affecting the working coefficient of the circular steel tube participating in concrete confinement. So, k s   is a constant value. In order to facilitate the calculation, this paper revises it according to the test results. For the concrete-filled circular CFRP–steel middle long columns, the value of k s   is taken as 0.3, which is in good agreement with the test results.

3.4. The Formula of Ultimate Bearing Capacity

The calculation formula of the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns N u , c f   is as follows, where N u   is the ultimate bearing capacity formula of concrete-filled circular CFRP–steel stub columns.
A = 1 2 m c + ( 1 1 2 m c ) 2 + α 1 ( m c 1 )
B = 0.5 4 3 k s 2
C = 0.5 k f
  m c 0.18 f c + 6
φ = 1 0.1337 L / D 5.7 ,   5.7 L / D 8
N u = A f c A c + B f s y A s + C f c f A c f
N u , c f = φ N u
m c   is a parameter of concrete materials. φ   is obtained by the statistics and regression of the experimental data, which can be used only in the case of 5.7 L / D 8 .

3.5. Comparison of Ultimate Bearing Capacity

The theoretical calculation of the ultimate bearing capacity is compared with the test results, as shown in Table 7. The results show that the minimum value of N u , c r t / N u , c t is 0.97, the maximum value is 1.05, and the average value is 1.002. So, the maximum error is 5%, the minimum error is 1%, and the average error is only 1.8%. It indicates that the theoretical formula has little error with the test results, which can better measure the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns and provide theoretical support for engineering practice.

4. Finite Element Calculation

With the rapid development of science and technology, the use of ANSYS finite element software for experimental simulation has become more and more common [25,26,27,28]. In order to make the finite element analysis results reliable, this paper tries to set the model according to the actual size of the specimen. Meanwhile, in order to reduce the complexity of post-processing calculation, the accuracy of steel tube and concrete mesh generation is simplified to avoid the calculation complexity due to high accuracy, which will lead to the non-convergence of calculation results [29,30].

4.1. The Selection of Unit Type

In ANSYS finite element analysis, the selection of element types is based on material characteristics and structural configurations. The SOLID65 element is widely adopted for nonlinear simulation of concrete materials due to its unique constitutive model incorporating tensile cracking and compressive crushing capabilities. The SOLID45 element, as a three-dimensional solid element, is suitable for simulating the mechanical behavior of steel tubes. Considering the thin-walled characteristics of CFRP materials (with thickness dimension significantly smaller than in-plane dimensions), shell elements are more appropriate for modeling. This element selection scheme accurately represents the mechanical properties of each constituent material, ensuring the reliability of numerical simulations.
SOLID65 was used for the concrete units, and MISO was adopted as a reinforcement criterion. The stress was set to not release after concrete cracking. SOLID 45 was used for the steel pipe unit. SHELL181 was used for the CFRP unit, and the BKIN was adopted for CFRP. This element can not only simulate the lateral bending deformation of concrete-filled circular CFRP columns but also establish different sections for delamination so as to simulate different layers of CFRP [31].

4.2. Modeling and Meshing

Because the influence of slip is more complex, this paper does not consider slip between the elements. So, the glue command is used to link the model, assuming that it is fully bonded, and then the element attributes are given to each entity. In this paper, the concrete, steel pipe, and CFRP were meshed into different forms. Firstly, according to the types of concrete, steel pipe, and CFRP, their lines were meshed with different precisions. Secondly, the mesh of concrete and steel tube was hexahedron, and the mesh generation method was volume sweeping, while CFRP was mapped face meshing. The meshed model is shown in Figure 3.

4.3. Applying Loads and Calculation Method

Due to the accuracy of mesh generation, the base plate model was not established in this model. In order to simulate the constraints of the pad model, the joints were coupled at the upper and lower ends of the model. Then, the surface loads were applied to the top of concrete-filled circular CFRP–steel middle long columns. In this paper, the nonlinear static analysis was adopted. According to the convergence rule of force, the acceptance value was 0.05. The calculation stop standard was when the transverse tensile stress of CFRP was greater than the actual tensile strength of its material [32,33].

5. Analysis of ANSYS Calculation Results

5.1. The Axial Load Versus Displacement of Mid-Span Curves

Figure 4 depicts the load versus displacement of mid-span curves, which were drawn after the extraction of ANSYS calculation results. It reflects the failure process of concrete-filled circular CFRP–steel middle long columns. When the bearing capacity is less than 95%, the mid-span deflection increases uniformly and slightly. When the bearing capacity is more than 95%, the mid-span deflection increases significantly. When the ultimate bearing capacity is reached, the outer CFRP will break suddenly after brittle failure, and the deflection begins to increase greatly as the bearing capacity drops rapidly. So, the bearing capacity at the falling point is the ultimate bearing capacity of the member. If the load continues to be applied, obvious bending of the circular steel pipe can be seen. According to the curve, the calculation results of ANSYS are in good agreement with the test results, and the error is small. The simulation error of CM0-2.5, CM3-2.5, CM1-3.5-5, and CS1-4.25 is only 1%. It can be seen that the simulation is accurate and conducive to the analysis of the test.

5.2. The Results of Ultimate Bearing Capacity in ANSYS

According to the results in Figure 4, the ultimate bearing capacity can be obtained. As shown in Table 8, the maximum error between the simulation results and the test results is 4%, the minimum error is 1%, and the average error is 2%. It shows that the error of simulation results is small, and it is feasible to use ANSYS to analyze the ultimate bearing capacity.

5.2.1. The Influence of the Number of CFRP Layers

It can be seen from Table 6 that the ultimate bearing capacity of concrete-filled circular steel middle long columns with one layer of CFRP is increased by 42.5%, that of two layers is increased by 18.9%, and that of three layers is increased by 11.2% compared with that of two layers. This shows that the bearing capacity of the samples can be greatly improved by adding one layer of CFRP, while the increase in bearing capacity decreases sharply when the number of stories reaches two or more layers. This indicates that the single-layer CFRP has an obvious effect on improving the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns, while the effect of multi-layer is limited.

5.2.2. The Influence of Concrete Strength Grades

It can be seen from Table 6 that the ultimate bearing capacity of C50 single-layer CFRP concrete-filled circular steel tubular columns is 11.5% higher than that of C40, that of C60 is 15.9% higher than that of C40, and that of C60 is 3.95% higher than that of C50. The results show that with the increase in concrete strength grades, the ultimate bearing capacity of the samples increases marginally. The improvement range is limited and smaller than that of the number of CFRP layers.

5.2.3. The Influence of Circular Steel Pipe Wall Thickness

It can be seen from Table 6 that the ultimate bearing capacity of single-layer CFRP concrete-filled circular steel tubular columns with 3.5 mm wall thickness is 8.53% higher than that of 2.5 mm, that of 4.25 mm is 18.6% higher than that of 3.5 mm, and that of 4.25 mm is 9.28% higher than that of 3.5 mm. This indicates that the ultimate bearing capacity of the samples increases as the steel tube wall thickness increases. The influence of the wall thickness is greater than that of concrete strength grades but less than that of the number of CFRP layers.

5.2.4. The Influence of Slenderness Ratio

It can be seen from Table 6 that the ultimate bearing capacity of single-layer CFRP concrete-filled circular steel tubular columns with 24 slenderness ratios is 7.84% lower than that of 12, that of 32 is 14% lower than that of 24, and that of 32 is 22.97% than that of 12. This indicates that the influence of the slenderness ratio on the ultimate bearing capacity of the samples is only less than that of the number of CFRP layers.

6. Conclusions

This study investigates circular CFRP–steel tube confined concrete intermediate columns, elucidating their working mechanisms and identifying key factors influencing axial compressive performance, thereby filling a critical research gap in this field. Combined with theoretical analysis, the calculation method of its bearing capacity is found, which can provide a reference for design and construction. Furthermore, by numerical simulation of ANSYS, the error of theoretical calculation will be reduced. The following conclusions can be obtained:
(1) It can be seen from the axial compression test of concrete-filled circular CFRP–steel middle long columns that when the CFRP fractures, the bearing capacity of the column reaches the limit, and the circular steel tube bends obviously after the load continues to be applied. Finally, the instability failure of specimens occurs.
(2) Experimental investigations demonstrate that both enhanced concrete strength and increased steel tube wall thickness contribute significantly to improved load-bearing capacity, while additional CFRP layers, though effective in strengthening confinement, exhibit diminishing reinforcement efficiency with progressive layering. Conversely, the bearing capacity displays a marked reduction as the slenderness ratio increases.
(3) From the axial compression test results, the hoop force of concrete, the hoop tensile stress of CFRP, and the restraint effect of steel tube were analyzed theoretically. According to the three stages of analysis of the specimens in the state of compression—the elastic stage, the elastic–plastic stage, and the failure stage—the ultimate bearing capacity formula of concrete-filled circular CFRP–steel middle long columns was obtained. Comparing the theoretical calculation results with the test results, the error is less than 5%, which is in good agreement. It indicates that the ultimate bearing capacity formula can be applied to engineering applications.
(4) ANSYS finite element analysis software simulation error is less than 4%, which can better simulate the test parameters. The axial load versus displacement of mid-span curves can directly reflect the elastic–plastic relationship of materials, which provides a reliable reference for the analysis of test results.
(5) The number of CFRP layers, the strength grades of the concrete, the thickness of the circular steel tubes, and the slenderness ratio have a certain influence on the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns. Among them, the number of CFRP layers has the greatest impact on the ultimate bearing capacity; the first layer of CFRP can be increased by more than 40%, and the second layer and the third layer of CFRP can improve the ultimate bearing capacity in a smaller range. So, the effect of single-layer CFRP on the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns is the best, and the effect of multi-layer is relatively small, with a poor economic benefit. The strength grades of the concrete and the slenderness ratio have a relatively small effect on the ultimate bearing capacity. The influence of the thickness of circular steel tube is the least. Additionally, from the engineering economic point of view, increasing the number of CFRP layers to improve the ultimate bearing capacity of concrete-filled circular CFRP–steel middle long columns is economical and applicable.

Author Contributions

Methodology, S.W. and J.L.; Formal analysis, S.W. and J.L.; Data curation, S.W.; Project administration, J.L.; Funding acquisition, C.Z. and J.Z. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Natural Science Foundation of China (grant number 52208340), the Knowledge Innovation Program of Wuhan-Shuguang Project (grant number 2023020201020375), the State Key Laboratory of Bridge Structure Health and Safety (grant number BHSKL19-04-KF), the Project of Outstanding Young and Middle-aged Scientific and Technological Innovation Team in Hubei Universities and Colleges (grant number T2022010), and the Doctoral Start-up Fund of Hubei University of Technology (grant number BSQD2020051). The APC was funded by the Knowledge Innovation Program of Wuhan-Shuguang Project (grant number 2023020201020375).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Some data used to support the findings of this study are included within the article. The more detailed data used to support the findings of this study are available from the corresponding author upon request.

Acknowledgments

This study was sponsored by the State Key Laboratory of Bridge Structural Health and Safety of China (grant no. BHSKL19-04-KF).

Conflicts of Interest

Author Chuheng Zhong was employed by the company China Railway Major Bridge Engineering Group Co., Ltd. The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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Figure 1. Diagrams of test device: (a) Photographs of the experimental setup. (b) Schematic diagram of the experimental setup.
Figure 1. Diagrams of test device: (a) Photographs of the experimental setup. (b) Schematic diagram of the experimental setup.
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Figure 2. The failure modes of all specimens.
Figure 2. The failure modes of all specimens.
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Figure 3. Meshed model: (a) concrete model; (b) steel model; and (c) CFRP model.
Figure 3. Meshed model: (a) concrete model; (b) steel model; and (c) CFRP model.
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Figure 4. The axial load versus displacement of mid-span curves.
Figure 4. The axial load versus displacement of mid-span curves.
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Table 1. Sample parameters.
Table 1. Sample parameters.
Specimen NumberConcrete Strength GradesNumber of CFRP LayersWall Thickness/(mm)Slenderness Ratio
CM1-3.5C4013.524
CM1-3.5-5C5013.524
CM1-3.5-6C6013.524
CM0-2.5C4002.524
CM1-2.5C4012.524
CM2-2.5C4022.524
CM3-2.5C4032.524
CS1-4.25C4014.2512
CM1-4.25C4014.2524
CL1-4.25C4014.2532
Comparison of CFRP layers: CM0-2.5, CM1-2.5, CM2-2.5, and CM3-2.5. Comparison of concrete strength grades: CM1-3.5, CM1-3.5-5, and CM1-3.5-6. Comparison of wall thicknesses: CM1-2.5, CM1-3.5, and CM1-4.25. Comparison of slenderness ratios: CS1-4.25, CM1-4.25, and CL1-4.25.
Table 2. Concrete mix proportions (unit: kg/m3).
Table 2. Concrete mix proportions (unit: kg/m3).
Mix No.CementCoarse AggregateFine AggregateWaterWater Reducer
C4036712185731543.67
C5041412605401454.14
C6048212965041355.78
Table 3. Concrete parameters.
Table 3. Concrete parameters.
Concrete Strength GradesCompressive StrengthElastic ModulusPoisson’s Ratio
C4041.2 MPa3.25 × 1040.2
C5051.3 MPa3.45 × 1040.2
C6060.8 MPa3.60 × 1040.2
Table 4. Steel parameters.
Table 4. Steel parameters.
Steel Pipe MaterialYield StrengthUltimate StrengthElastic ModulusPoisson’s Ratio
Q235239 MPa423.32.1 × 1050.33
Table 5. CFRP parameters.
Table 5. CFRP parameters.
Material ModelTensile StrengthElastic ModulusWall ThicknessPoisson’s Ratio
SKO3500 MPa2.51 × 1050.167 mm0.367
Table 6. Experimental results (unit: kN).
Table 6. Experimental results (unit: kN).
Specimen NumberSpecimen 1Specimen 2Specimen 3Average Value
CM1-3.51749.521531.461829.581703.52
CM1-3.5-51872.891983.061842.501899.48
CM1-3.5-61865.242081.871976.511974.54
CM0-2.51203.93982.531118.011101.49
CM1-2.51467.631610.471630.881569.66
CM2-2.51891.821792.941912.341865.70
CM3-2.51905.141947.032373.782075.32
CS1-4.252036.361945.982042.382008.24
CM1-4.251945.411783.451856.061861.64
CL1-4.251660.861518.781719.651633.10
Table 7. Comparison of ultimate bearing capacity.
Table 7. Comparison of ultimate bearing capacity.
Specimen NumberTheoretical Results
N u , c r t   ( kN )
Test Results
N u , c t   ( kN )
N u , c r t / N u , c t
CM1-3.51726.061703.521.01
CM1-3.5-51855.561899.480.98
CM1-3.5-61990.731974.541.01
CM0-2.51160.861101.491.05
CM1-2.51522.931569.660.97
CM2-2.51828.191865.70.98
CM3-2.52101.92075.321.01
CS1-4.252035.752008.241.01
CM1-4.251872.891861.641.01
CL1-4.251616.381633.10.99
Table 8. The results of ultimate bearing capacity in ANSYS.
Table 8. The results of ultimate bearing capacity in ANSYS.
Specimen NumberSimulation Results
N u , c r a   ( kN )
Test Results
N u , c t   ( kN )
N u , c r a / N u , c t
CM1-3.51754.251703.521.03
CM1-3.5-51921.541899.481.01
CM1-3.5-62007.461974.541.02
CM0-2.51085.211101.490.99
CM1-2.51602.81569.661.02
CM2-2.51925.691865.71.03
CM3-2.52105.692075.321.01
CS1-4.251980.542008.240.99
CM1-4.251820.451861.640.98
CL1-4.251693.551633.11.04
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Zhong, C.; Wang, S.; Leng, J.; Zhou, J. Numerical Simulation Analysis of Concrete-Filled Circular CFRP–Steel Middle Long Columns. Appl. Sci. 2025, 15, 6311. https://doi.org/10.3390/app15116311

AMA Style

Zhong C, Wang S, Leng J, Zhou J. Numerical Simulation Analysis of Concrete-Filled Circular CFRP–Steel Middle Long Columns. Applied Sciences. 2025; 15(11):6311. https://doi.org/10.3390/app15116311

Chicago/Turabian Style

Zhong, Chuheng, Shuai Wang, Jun Leng, and Jinzhi Zhou. 2025. "Numerical Simulation Analysis of Concrete-Filled Circular CFRP–Steel Middle Long Columns" Applied Sciences 15, no. 11: 6311. https://doi.org/10.3390/app15116311

APA Style

Zhong, C., Wang, S., Leng, J., & Zhou, J. (2025). Numerical Simulation Analysis of Concrete-Filled Circular CFRP–Steel Middle Long Columns. Applied Sciences, 15(11), 6311. https://doi.org/10.3390/app15116311

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