# Effects of Different Interface Forms on Mechanical Properties of Steel Self-Compacting Concrete Composite Beams

Authors: Chengzhi Wang; Xin Liu; Wei Liu; Zhiming Li
Journal: Advances in Civil Engineering
 (2020)

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## Abstract

In the water resources allocation project in Pearl River Delta, in order to optimize the structural design, the deep buried tunnel adopts the composite lining structure. However, the weakest link in a complex structure is the connection between two different interfaces. This paper reports the findings of an experimental study that was undertaken to investigate the interface mechanical performance of steel self-compacting concrete composite structure subjected to cyclic loads. In this study, different shear connectors are considered, and six different specimens were designed and tested, respectively. The test is used to research the effect of the different shear connectors on the bearing capacity and interface mechanical properties of composite structure in an experimental study. According to these test results, a detailed analysis was carried out on the relationships, such as the stress-strain and load-displacement relationships for the specimen. These tests show that the shear connectors will significantly enhance the bearing capacity and interface mechanical properties of the composite structure. Among them, the comprehensive performance of the specimens using the stud-longitudinal ribs shear connectors is the best. Additionally, a finite element analysis (FEA) model was developed. The comparison of the simulation results with the experimental results shows that this FEA is applicable for this type of experiment.


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## Body

## 1. Introduction

This experiment takes the water resources allocation project in Pearl River Delta as the background, in which the deep-buried tunnel accounts for 75% of the total length. The deep-buried tunnel has the characteristics of large burial depth, long line length, and high internal and external water pressure, and the tunnel construction is in an extreme environment. Compared with ordinary tunnels, the high internal and external water pressures often cause the tunnels to be under extreme load conditions [1], and problems in water resources transportation will cause huge economic losses and difficult maintenance. So, the deep-buried tunnel is planned to adopt a new type of composite lining structure to combine the steel pipe with the segments, and the self-compacting concrete is poured between the steel pipe and the segments to form a composite lining structure, as shown in Figure 1. However, the load transfer performance of the interface determines the overall bearing capacity of the composite lining structure. Therefore, it is necessary to carry out experimental research on mechanical properties of steel-concrete interface and optimize the interface connection mode to improve the overall bearing capacity of the structure.Figure 1
Diagram of composite lining.In steel-concrete composite structures, the advantages of steel and concrete can be fully utilized, and shear connectors are directly related to the bearing capacity of the whole composite structure as the key part of the stress [2, 3]. To ensure the rationality of design and the safe operation of steel-self compacting concrete composite structure, it is very urgent and necessary to study the mechanical properties of shear connectors [4, 5]. Shear connector forms can be divided into three types: flange type, embedded type, and composite type [6, 7]. Embedded connectors are seldom used in medium or longspan structures because of their inconvenience in construction. Flange connectors are very popular among bridge designers due to their good bearing capacity, shear rigidity, and convenient construction [8, 9]. Flange connectors mainly include stud connectors, angle connectors, and perfobond connector (PBL connector), and stud connectors and PBL connectors have been the most studied to date.Stud connectors are widely used in bridges with smaller spans, and scholars have conducted many studies on them [10]. Viest [11] discussed the shear performance of stud connectors through push-out tests and gave the formula for calculating their shear capacities. Ollgaard et al. [12] carried out push-out tests with 48 groups of embedded connectors and put forward the formula for the shear capacity of these connectors. The experiments show that the shear strength of embedded connectors is mainly affected by the compressive strength and elastic modulus of concrete. Cederwall and Li [13] studied the shear resistance of studs in high strength and normal strength concrete, and the push-out test results showed that the concrete compression strength significantly affects the strength of the stud connections. Classen and Hegger [14] proposed models for the calculation of the slip capacity and the description of the shear-slip characteristic. The proposed models can be used for the characterization of the composite dowels’ deformation capacity. Koop and Wolters [15] presented background information to the static design concept for composite dowels with clothoidal and puzzle shape regulated in the general technical approval and additionally presented the design formula for longitudinal static shear resistance. Valente and Cruz [16] conducted a comparative analysis of the performance of stud connectors, T-joints, and perforated plate joints. The test results show that the perforated plate joints have excellent performance in shear resistance and ductility. Vellasco PCGS and others [17, 18] made further improvement on the basis of PBL connector, that is, the combination of the perforated plate connector and the T-shaped connector. Through comparative analysis, it was found that the form connector performance is more outstanding.In the design of composite lining structure, it is believed that the opening of the interface will lead to the failure of the structure. At present, similar projects lack reasonable design methods and can only adopt safe and conservative methods, which are not scientific and economical. Therefore, in order to improve the performance of the interface, it is necessary to comprehensively compare different interface processing methods and observe the mechanical properties and interface slippage properties of composite beams under different interfaces. Compared with the traditional single connection, the method of composite shear connection will be more economical and safe for the project, and there are few related researches at present. In order to compare the influence of different composite shear connectors on the bearing capacity of steel-self-compacting concrete composite beams, the interfacial mechanical properties of steel-self-compacting concrete composite beams under reciprocating loads were studied in detail. At the same time, high performance concrete is gradually replacing ordinary concrete [19, 20], and the selection of self-compacting concrete has a high reference value for the practical application of future projects.This paper mainly studies the mechanical properties of the steel-self-compacting concrete interface in the composite lining structure. Since the composite lining bears various loads together, the shear connectors need to transmit tensile force, shear force, and bending moment. At the same time, the tunnel involves repeated water filling and discharging; the change of water pressure is equivalent to repeated loading and unloading, so the test adopts the loading and unloading mode of reciprocating cycle. In order to fully study the mechanical properties of the steel-concrete interface, this study intends to start from the microscopic force mechanism of the interface and conduct the test of the bending and shear properties of the steel self-compacting concrete composite structure and study the behavioral characteristics of the steel-concrete interface under the cyclic loads. Through the above research, the connection mode of steel-concrete interface is optimized to improve the overall bearing capacity of the structure.


## 2. Experimental Study

### 2.1. Material Properties

All steel types used in the test are Q345C. According to the code GB/T 2975-2018 [21], Young’s modulus of the steel E is 201.5 GPa, and the yield strength of the steel fy is 337.16 MPa. The results are shown in Table 1.Table 1
Mechanical properties of steel.
ModelNo.fy (MPa)Es (GPa)Q345C1336.12203Q345C2338.20200—Ave.337.16201.5The strength grade of self-compacting concrete is C30, the coarse aggregate is ordinary gravel, and the daily drinking water is mixed. All indexes of water quality meet the requirements of concrete mixing water. According to JGJ/T 98-2010 [22], the mix design of all test specimens is shown in Table 2. And the rheological properties of self-compacting concrete are tested, as shown in Figure 2. At the same time, six standard test blocks were produced, the length, width, and height are 100 mm, respectively, and the test pieces were placed in the required indoor curing (temperature: 20 ± 2°C, humidity: 95% or more). After the curing is completed, the strength is measured on the pressure test machine, and the test results are shown in Table 3.Table 2
Concrete mix design.
Strength gradeWater to cement ratio (mass ratio)Water-reducing agent (kg/m3)Cement (kg/m3)Water (kg/m3)Gravel (kg/m3)Sand (kg/m3)Rheological properties (mm)C300.553.61368.90201.11786.00801.72650Figure 2
Rheological properties of concrete.Table 3
Concrete strength.
TimeMaximum bearing capacity (kN)Specimen strength (MPa)7 days640.728.4614 days798.4935.4928 days825.3936.68


### 2.2. Test Specimen Design

In order to better study the force and interface failure characteristics of composite members, in this experiment, a total of 6 groups of steel self-compacting concrete composite structural specimens were designed for load test. The length of the specimen is 3000 mm and the width of the specimen is 800 mm. The height of the specimen is 314 mm, of which the thickness of the concrete is 300 mm and the thickness of the steel plate is 14 mm. The model size is shown in Figure3.Figure 3
Specimen size.As summarized in Table4, there are six specimens. The arrangement of shear connectors of each specimen is different. SP1 and SP2 use stud-longitudinal ribs shear connectors, SP3 uses reinforcing bars-longitudinal ribs shear connectors, SP4 uses transverse rib-longitudinal ribs shear connectors, SP5 uses longitudinal ribs shear connectors, and SP6 uses two longitudinal ribs shear connectors. The layout of the specimen is shown in Figure 4.Table 4
Details of the specimens.
Specimen no.H (mm)w (mm)L (mm)Types of shear connectorsfcu1 (MPa)fy2 (MPa)SP13148003000Studs, longitudinal ribs36.68337.16SP23148003000Sparse studs, longitudinal ribs36.68337.16SP33148003000Reinforcing cage, longitudinal ribs36.68337.16SP43148003000Longitudinal ribs, transverse ribs36.68337.16SP53148003000Longitudinal ribs36.68337.16SP63148003000Two longitudinal ribs36.68337.161fcu: concrete cube compressive strength and 2fy: yield strength of steel.Figure 4
Photographs of the specimen: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)


### 2.3. Test Setup and Instrumentation

The test setup and instrumentation for the specimens are presented schematically in Figure5. One servohydraulic actuator with loading capacities of 500 kN was used in the loading frame, which allows lateral forces to be applied to the dowel bar.Figure 5
Test setup and instrumentation of specimens: (a) schematic diagram of test set-up and (b) general view.
(a)(b)This experiment adopts the method of hierarchical loading. Before the loading test, preloading is carried out to determine whether the beam is loaded eccentrically. At the same time, check the readings of each device, confirm that the displacement gauge and strain gauge data are in good condition, and unload to zero. After the completion of preloading, the graded reciprocating loading is started. Before concrete cracking, the load control level is 20 kN; after concrete cracking, the load control level is 50 kN. The loading method adopts the reciprocating loading methods of 5–50 kN, 5–100 kN, 5–150 kN, 5–200 kN, 5–250 kN, and 5–300 kN. After cyclic loading for 5 times in each stage, the load increases to the cycle of the next stage until the specimen is destroyed.Displacement meter and strain gauge were used for data collection. Four strain gauges were arranged from top to bottom at both ends of the specimen and at the side of the specimen mid-span. Three strain gauges were arranged in each column at the bottom, middle, and both ends of the specimen. Displacement measurement using displacement meter is shown in Figure6(a). The deformation is measured by using dial indicators at the lower center and both ends of the specimen. The measuring range of the instrument is 0 to 50 mm, and the maximum measurement accuracy is 0.01 mm. The instrument can measure the absolute displacement and the relative displacement of the middle of the pile. In order to obtain the transverse displacement of concrete under compression, three transverse displacement meters are placed below the side of the beam at the mid-span position and at the axes of both sides. The experimental device schematic and strain gauge point position map are shown in Figures 6(b) and 6(c).Figure 6
Point position map: (a) displacement meter layout, (b) arrangement of strain gauges, and (c) arrangement of strain gauges.
(a)(b)(c)


## 2.1. Material Properties

All steel types used in the test are Q345C. According to the code GB/T 2975-2018 [21], Young’s modulus of the steel E is 201.5 GPa, and the yield strength of the steel fy is 337.16 MPa. The results are shown in Table 1.Table 1
Mechanical properties of steel.
ModelNo.fy (MPa)Es (GPa)Q345C1336.12203Q345C2338.20200—Ave.337.16201.5The strength grade of self-compacting concrete is C30, the coarse aggregate is ordinary gravel, and the daily drinking water is mixed. All indexes of water quality meet the requirements of concrete mixing water. According to JGJ/T 98-2010 [22], the mix design of all test specimens is shown in Table 2. And the rheological properties of self-compacting concrete are tested, as shown in Figure 2. At the same time, six standard test blocks were produced, the length, width, and height are 100 mm, respectively, and the test pieces were placed in the required indoor curing (temperature: 20 ± 2°C, humidity: 95% or more). After the curing is completed, the strength is measured on the pressure test machine, and the test results are shown in Table 3.Table 2
Concrete mix design.
Strength gradeWater to cement ratio (mass ratio)Water-reducing agent (kg/m3)Cement (kg/m3)Water (kg/m3)Gravel (kg/m3)Sand (kg/m3)Rheological properties (mm)C300.553.61368.90201.11786.00801.72650Figure 2
Rheological properties of concrete.Table 3
Concrete strength.
TimeMaximum bearing capacity (kN)Specimen strength (MPa)7 days640.728.4614 days798.4935.4928 days825.3936.68


## 2.2. Test Specimen Design

In order to better study the force and interface failure characteristics of composite members, in this experiment, a total of 6 groups of steel self-compacting concrete composite structural specimens were designed for load test. The length of the specimen is 3000 mm and the width of the specimen is 800 mm. The height of the specimen is 314 mm, of which the thickness of the concrete is 300 mm and the thickness of the steel plate is 14 mm. The model size is shown in Figure3.Figure 3
Specimen size.As summarized in Table4, there are six specimens. The arrangement of shear connectors of each specimen is different. SP1 and SP2 use stud-longitudinal ribs shear connectors, SP3 uses reinforcing bars-longitudinal ribs shear connectors, SP4 uses transverse rib-longitudinal ribs shear connectors, SP5 uses longitudinal ribs shear connectors, and SP6 uses two longitudinal ribs shear connectors. The layout of the specimen is shown in Figure 4.Table 4
Details of the specimens.
Specimen no.H (mm)w (mm)L (mm)Types of shear connectorsfcu1 (MPa)fy2 (MPa)SP13148003000Studs, longitudinal ribs36.68337.16SP23148003000Sparse studs, longitudinal ribs36.68337.16SP33148003000Reinforcing cage, longitudinal ribs36.68337.16SP43148003000Longitudinal ribs, transverse ribs36.68337.16SP53148003000Longitudinal ribs36.68337.16SP63148003000Two longitudinal ribs36.68337.161fcu: concrete cube compressive strength and 2fy: yield strength of steel.Figure 4
Photographs of the specimen: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)


## 2.3. Test Setup and Instrumentation

The test setup and instrumentation for the specimens are presented schematically in Figure5. One servohydraulic actuator with loading capacities of 500 kN was used in the loading frame, which allows lateral forces to be applied to the dowel bar.Figure 5
Test setup and instrumentation of specimens: (a) schematic diagram of test set-up and (b) general view.
(a)(b)This experiment adopts the method of hierarchical loading. Before the loading test, preloading is carried out to determine whether the beam is loaded eccentrically. At the same time, check the readings of each device, confirm that the displacement gauge and strain gauge data are in good condition, and unload to zero. After the completion of preloading, the graded reciprocating loading is started. Before concrete cracking, the load control level is 20 kN; after concrete cracking, the load control level is 50 kN. The loading method adopts the reciprocating loading methods of 5–50 kN, 5–100 kN, 5–150 kN, 5–200 kN, 5–250 kN, and 5–300 kN. After cyclic loading for 5 times in each stage, the load increases to the cycle of the next stage until the specimen is destroyed.Displacement meter and strain gauge were used for data collection. Four strain gauges were arranged from top to bottom at both ends of the specimen and at the side of the specimen mid-span. Three strain gauges were arranged in each column at the bottom, middle, and both ends of the specimen. Displacement measurement using displacement meter is shown in Figure6(a). The deformation is measured by using dial indicators at the lower center and both ends of the specimen. The measuring range of the instrument is 0 to 50 mm, and the maximum measurement accuracy is 0.01 mm. The instrument can measure the absolute displacement and the relative displacement of the middle of the pile. In order to obtain the transverse displacement of concrete under compression, three transverse displacement meters are placed below the side of the beam at the mid-span position and at the axes of both sides. The experimental device schematic and strain gauge point position map are shown in Figures 6(b) and 6(c).Figure 6
Point position map: (a) displacement meter layout, (b) arrangement of strain gauges, and (c) arrangement of strain gauges.
(a)(b)(c)


## 3. Results and Discussion

This section presents the main experimental results of the tested steel self-compacting concrete beams, including the failure modes, mid-span load deflection, load-strain relationship, slip curve and analysis of cycle times, and mid-span deflection.


### 3.1. Failure Modes

The brittle failure of the six specimens is shown in Figure7, and all specimens are eventually destroyed due to the penetration of concrete. Different shear connectors result in different ultimate bearing capacity and crack distribution of the specimen. The main crack distribution when the specimen fails is shown in Figure 8. The SP1 and SP2 use the stud connectors; the stud connector can better restrain the lateral displacement of the concrete. When the specimen is damaged, it will penetrate through the whole place under compression. The SP3 uses reinforcing bars-longitudinal ribs shear connectors, and the steel and concrete bear the pressure together. Although the ultimate bearing capacity of the test piece is increased, stress concentration is easy to occur at the welding place between the steel bar and the longitudinal ribs, and cracks are easily generated at this place and finally break through. The failure form of specimen 4 is obviously different from that of other specimens. Due to the presence of transverse rib connectors, as the load increases, the deflection of the specimen becomes larger and the squeezing effect of the transverse ribs on the concrete becomes more and more obvious; as a result, the specimen is prone to cracks at the transverse ribs. The crack distribution of SP1, SP5, and SP6 is basically the same. Compared with SP5, SP1 significantly improves the ultimate bearing capacity after using the studs connector, indicating the interface treatment of SP1 is excellent.Figure 7
Brittle failure of specimens.
(a)(b)(c)(d)(e)(f)Figure 8
The main crack distribution of the specimen: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)


### 3.2. Mid-Span Load-Deflection Curve

The synergistic behavior of steel-self-compacting concrete beams under pure bending test and the deformation mechanism of composite members can be obtained by mid-span load-deflection curve.The load-span deflection curves of the six specimens in the test are shown in Figure9 and Table 5.Figure 9
Specimen load-deflection curve.Table 5
Test results of specimens.
Specimen no.Fu1 (kN)Fud2 (mm)Fc3 (kN)Fcd4 (kN)SP1310.75.233253.32.532SP2305.66.632241.72.322SP3292.55.685149.92.217SP4308.56.743205.92.469SP5256.25.406170.51.932SP6299.14.914250.03.2741Fu: ultimate bearing capacity of the specimens, 2Fud: ultimate deformation of the specimens, 3Fc: load value when the specimen is cracked, and 4Fcd: deflection value when the specimen is cracked.It can be seen from the test results that the ultimate bearing capacity of the SP1 and the SP4 is remarkably improved. According to the results, the ultimate bearing capacity of SP5 was only 256.2 kN; however, the ultimate bearing capacity of SP1 and SP4 was about 310 kN. Compared with the SP5, the ultimate bearing capacity of the specimen is increased by about 24%.The deformation properties of the composite members SP1 and SP4 under cyclic load are also significantly improved. The SP5 has passed from the elastic stage to the elastic-plastic stage at 200 kN, and the deflection becomes larger and the specimen is destroyed. During the loading process, SP1, SP4, and SP6 were in the elastic phase before the load reached 290 kN. The deflection increased linearly with the load and then entered the elastoplastic phase, and the load continued to increase. The specimen entered the plastic phase until the specimen was destroyed. The ultimate bearing capacity of SP2 and SP3 is high, but the elastic-plastic stage enters the elastoplastic stage at about 200 kN, and its deflection changes greatly. In short, the ultimate load-bearing performance of SP1 and SP4 is the best.


### 3.3. Slip Curve

By observing the slip curve, the restraining effect of different shear connectors on the steel-concrete interface can be obtained. The slip curve of the six specimens is shown in Figure10.Figure 10
Slip curves: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)For SP1, it can be seen from Figure10(a) that the effect of the stud on limiting the lateral displacement of the concrete is very obvious. During the loading process of 0-280 kN, the displacement of the displacement gauges of No. 1 and No. 3 is only 0.2 mm, and there is no huge mutation. Due to the damage of the displacement gauge No. 2, effective observation was not possible, and the data was not analyzed for the time being.The slip curve of the SP2 is shown in Figure10(b). During the whole cycle of 0-250 kN, the slip amount at the measuring points 1, 2, and 3 is almost 0, and no crack is generated in the specimen. When the load is at the first cycle of 250 kN, the specimen produces tiny cracks at the measuring points 1 and 3, and the slip points of the measuring points 1, 2, and 3 increase rapidly. Then the increment of the measuring point is almost constant at 0.01 mm until the load is increased to 300 kN, the crack continues to expand, the slip further increases in a smooth curve, the specimen enters the plastic stage, and then the slip increases by 1 mm, and the specimen is destroyed.The slip curve of SP3 is shown in Figure10(c). The displacement of the whole slip curve is small before the specimen is destroyed. There is a sudden change at 170 kN, and the crack appears on the concrete surface of the specimen. Eventually, the displacement gauge No. 1 changed 1.17 mm and fell off at 300 kN. The displacement gauge No. 2 changed by 0.103 mm, and the displacement gauge No. 3 finally changed by 1.051 mm.The slip curve of SP4 is shown in Figure10(d). Before 250 kN, the slip of the specimen was only 0.1 mm, and when the load was increased to 300 kN, the slip curve did not show a huge mutation. The whole increment was 0.2 mm, indicating that the longitudinal ribs and transverse ribs of the steel plate well limit the displacement of the concrete, and the synergistic force performance is good, and the good bearing performance can be maintained when the bearing capacity is increased.The slip curves of SP5 are shown in Figure10(e). There is no sudden change in the slip values of test points 1 and 2 before the failure of the specimen. The change of test point 3 at 170 kN is due to the local failure at that point and the enlargement of concrete cracks. When the load is 250 kN, the specimen is destroyed and the displacement meter is invalid.The slip increment of the SP6 before complete damage is about 0.01 mm, which indicates that the concrete and the steel plate have good combined force, which can effectively limit the lateral displacement of the concrete. When the load is 230 kN, the slip gradually increases, and the specimen starts partially. Cracks occurred until the load became 300 kN, and the slip suddenly became large, and the specimen broke, as shown in Figure10(f).According to the slip curve, SP3 and SP6 had the worst performance and the worst constraint effect on the lateral displacement of concrete. SP1, SP4, and SP5 showed outstanding performance, and the lateral displacement always changed in a small range, among which SP1 and SP5 had the smallest fluctuation in the process of change.


### 3.4. Analysis of Cycle Times and Mid-Span Deflection

In order to further study the influence of the pressurization and unloading process on the specimen during the cycle, the development of the deflection of the six specimens with the increase of the number of cycles is obtained, as shown in Figure11. It can be seen from the test results that the SP1 and the SP4 are least affected by the number of load cycles. During the application of the reciprocating load, the deflection of the SP1 and the SP4 is in a linear increase process until the specimen is broken. The SP5 was most affected by the number of cycles, and at the 20th cycle load, the deflection of the SP5 was abrupt and then rapidly destroyed. In the process of cyclic pressure, the SP3 has the weakest stability, and the deflection has become significantly larger at the 15th cycle. Therefore, in the case of repeated loading and unloading, the interface processing method of SP1 and SP4 is the best.Figure 11
Cycle times and mid-span deflection curve.


### 3.5. Load-Strain Relationship

The development law of the mid-strain strain with load of the six specimens is shown in Figure12. Among them, the SP1 failed to make effective observation due to the damage of the strain gauge at the measuring point 7, and the data was not analyzed.Figure 12
Strain-load curves for each measuring point on the side of the specimens: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)It can be seen from the test results that the strains of the SP1, SP2, and SP5 are in accordance with the development law, and the concrete and the steel plate have better combined force performance. Among them, SP1 and SP2 did not appear to suddenly increase the strain of the specimen but showed the property of first elastic and then elastoplastic change. As the load of SP3, SP5, and SP6 increases, the strain at a certain measuring point suddenly increases, and the crack in the specimen causes the joint to be broken, and the force on the steel plate suddenly increases.The load-strain curves of the steel plates at the bottom of SP1, SP4, and SP5 are shown in Figure13. The test results show that the specimen has the best synergistic force when the longitudinal rib and the stud are used as the connecting piece. As shown in Figure 13(a), the load-strain curve increases linearly, and the whole specimen is in the elastic stage before 290 kN. When the specimen is used as the connecting member with the longitudinal rib and the transverse rib as the connecting member, the effect is slightly worse than that of the SP1, and the whole of the specimen enters the elastoplastic stage too early. When the specimen is only used as the connecting piece with the longitudinal rib, the synergistic force performance is poor, the force transmitted to the steel plate after the concrete cracking increases, and the restraining effect of the longitudinal rib on the concrete is poor.Figure 13
Strain-load curves for each measuring point at the bottom of the specimens: (a) SP1, (b) SP4, and (c) SP5.
(a)(b)(c)Figure14 is the height-strain curve of the SP2. It can be seen that the cross section strain of the test beam varies linearly along the height direction, and the assumption of flat cross section is valid. In addition, the position of the neutral layer of the test beam gradually moves down during the loading process. The main reason is that the steel plate acts synergistically in the lower layer of the specimen, and the stress change is smaller than that in the upper layer, which results in the noncoincidence of the strain neutral layer and the geometric neutral layer, and the strain neutral layer moves downward.Figure 14
Section height-strain curve.


## 3.1. Failure Modes

The brittle failure of the six specimens is shown in Figure7, and all specimens are eventually destroyed due to the penetration of concrete. Different shear connectors result in different ultimate bearing capacity and crack distribution of the specimen. The main crack distribution when the specimen fails is shown in Figure 8. The SP1 and SP2 use the stud connectors; the stud connector can better restrain the lateral displacement of the concrete. When the specimen is damaged, it will penetrate through the whole place under compression. The SP3 uses reinforcing bars-longitudinal ribs shear connectors, and the steel and concrete bear the pressure together. Although the ultimate bearing capacity of the test piece is increased, stress concentration is easy to occur at the welding place between the steel bar and the longitudinal ribs, and cracks are easily generated at this place and finally break through. The failure form of specimen 4 is obviously different from that of other specimens. Due to the presence of transverse rib connectors, as the load increases, the deflection of the specimen becomes larger and the squeezing effect of the transverse ribs on the concrete becomes more and more obvious; as a result, the specimen is prone to cracks at the transverse ribs. The crack distribution of SP1, SP5, and SP6 is basically the same. Compared with SP5, SP1 significantly improves the ultimate bearing capacity after using the studs connector, indicating the interface treatment of SP1 is excellent.Figure 7
Brittle failure of specimens.
(a)(b)(c)(d)(e)(f)Figure 8
The main crack distribution of the specimen: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)


## 3.2. Mid-Span Load-Deflection Curve

The synergistic behavior of steel-self-compacting concrete beams under pure bending test and the deformation mechanism of composite members can be obtained by mid-span load-deflection curve.The load-span deflection curves of the six specimens in the test are shown in Figure9 and Table 5.Figure 9
Specimen load-deflection curve.Table 5
Test results of specimens.
Specimen no.Fu1 (kN)Fud2 (mm)Fc3 (kN)Fcd4 (kN)SP1310.75.233253.32.532SP2305.66.632241.72.322SP3292.55.685149.92.217SP4308.56.743205.92.469SP5256.25.406170.51.932SP6299.14.914250.03.2741Fu: ultimate bearing capacity of the specimens, 2Fud: ultimate deformation of the specimens, 3Fc: load value when the specimen is cracked, and 4Fcd: deflection value when the specimen is cracked.It can be seen from the test results that the ultimate bearing capacity of the SP1 and the SP4 is remarkably improved. According to the results, the ultimate bearing capacity of SP5 was only 256.2 kN; however, the ultimate bearing capacity of SP1 and SP4 was about 310 kN. Compared with the SP5, the ultimate bearing capacity of the specimen is increased by about 24%.The deformation properties of the composite members SP1 and SP4 under cyclic load are also significantly improved. The SP5 has passed from the elastic stage to the elastic-plastic stage at 200 kN, and the deflection becomes larger and the specimen is destroyed. During the loading process, SP1, SP4, and SP6 were in the elastic phase before the load reached 290 kN. The deflection increased linearly with the load and then entered the elastoplastic phase, and the load continued to increase. The specimen entered the plastic phase until the specimen was destroyed. The ultimate bearing capacity of SP2 and SP3 is high, but the elastic-plastic stage enters the elastoplastic stage at about 200 kN, and its deflection changes greatly. In short, the ultimate load-bearing performance of SP1 and SP4 is the best.


## 3.3. Slip Curve

By observing the slip curve, the restraining effect of different shear connectors on the steel-concrete interface can be obtained. The slip curve of the six specimens is shown in Figure10.Figure 10
Slip curves: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)For SP1, it can be seen from Figure10(a) that the effect of the stud on limiting the lateral displacement of the concrete is very obvious. During the loading process of 0-280 kN, the displacement of the displacement gauges of No. 1 and No. 3 is only 0.2 mm, and there is no huge mutation. Due to the damage of the displacement gauge No. 2, effective observation was not possible, and the data was not analyzed for the time being.The slip curve of the SP2 is shown in Figure10(b). During the whole cycle of 0-250 kN, the slip amount at the measuring points 1, 2, and 3 is almost 0, and no crack is generated in the specimen. When the load is at the first cycle of 250 kN, the specimen produces tiny cracks at the measuring points 1 and 3, and the slip points of the measuring points 1, 2, and 3 increase rapidly. Then the increment of the measuring point is almost constant at 0.01 mm until the load is increased to 300 kN, the crack continues to expand, the slip further increases in a smooth curve, the specimen enters the plastic stage, and then the slip increases by 1 mm, and the specimen is destroyed.The slip curve of SP3 is shown in Figure10(c). The displacement of the whole slip curve is small before the specimen is destroyed. There is a sudden change at 170 kN, and the crack appears on the concrete surface of the specimen. Eventually, the displacement gauge No. 1 changed 1.17 mm and fell off at 300 kN. The displacement gauge No. 2 changed by 0.103 mm, and the displacement gauge No. 3 finally changed by 1.051 mm.The slip curve of SP4 is shown in Figure10(d). Before 250 kN, the slip of the specimen was only 0.1 mm, and when the load was increased to 300 kN, the slip curve did not show a huge mutation. The whole increment was 0.2 mm, indicating that the longitudinal ribs and transverse ribs of the steel plate well limit the displacement of the concrete, and the synergistic force performance is good, and the good bearing performance can be maintained when the bearing capacity is increased.The slip curves of SP5 are shown in Figure10(e). There is no sudden change in the slip values of test points 1 and 2 before the failure of the specimen. The change of test point 3 at 170 kN is due to the local failure at that point and the enlargement of concrete cracks. When the load is 250 kN, the specimen is destroyed and the displacement meter is invalid.The slip increment of the SP6 before complete damage is about 0.01 mm, which indicates that the concrete and the steel plate have good combined force, which can effectively limit the lateral displacement of the concrete. When the load is 230 kN, the slip gradually increases, and the specimen starts partially. Cracks occurred until the load became 300 kN, and the slip suddenly became large, and the specimen broke, as shown in Figure10(f).According to the slip curve, SP3 and SP6 had the worst performance and the worst constraint effect on the lateral displacement of concrete. SP1, SP4, and SP5 showed outstanding performance, and the lateral displacement always changed in a small range, among which SP1 and SP5 had the smallest fluctuation in the process of change.


## 3.4. Analysis of Cycle Times and Mid-Span Deflection

In order to further study the influence of the pressurization and unloading process on the specimen during the cycle, the development of the deflection of the six specimens with the increase of the number of cycles is obtained, as shown in Figure11. It can be seen from the test results that the SP1 and the SP4 are least affected by the number of load cycles. During the application of the reciprocating load, the deflection of the SP1 and the SP4 is in a linear increase process until the specimen is broken. The SP5 was most affected by the number of cycles, and at the 20th cycle load, the deflection of the SP5 was abrupt and then rapidly destroyed. In the process of cyclic pressure, the SP3 has the weakest stability, and the deflection has become significantly larger at the 15th cycle. Therefore, in the case of repeated loading and unloading, the interface processing method of SP1 and SP4 is the best.Figure 11
Cycle times and mid-span deflection curve.


## 3.5. Load-Strain Relationship

The development law of the mid-strain strain with load of the six specimens is shown in Figure12. Among them, the SP1 failed to make effective observation due to the damage of the strain gauge at the measuring point 7, and the data was not analyzed.Figure 12
Strain-load curves for each measuring point on the side of the specimens: (a) SP1, (b) SP2, (c) SP3, (d) SP4, (e) SP5, and (f) SP6.
(a)(b)(c)(d)(e)(f)It can be seen from the test results that the strains of the SP1, SP2, and SP5 are in accordance with the development law, and the concrete and the steel plate have better combined force performance. Among them, SP1 and SP2 did not appear to suddenly increase the strain of the specimen but showed the property of first elastic and then elastoplastic change. As the load of SP3, SP5, and SP6 increases, the strain at a certain measuring point suddenly increases, and the crack in the specimen causes the joint to be broken, and the force on the steel plate suddenly increases.The load-strain curves of the steel plates at the bottom of SP1, SP4, and SP5 are shown in Figure13. The test results show that the specimen has the best synergistic force when the longitudinal rib and the stud are used as the connecting piece. As shown in Figure 13(a), the load-strain curve increases linearly, and the whole specimen is in the elastic stage before 290 kN. When the specimen is used as the connecting member with the longitudinal rib and the transverse rib as the connecting member, the effect is slightly worse than that of the SP1, and the whole of the specimen enters the elastoplastic stage too early. When the specimen is only used as the connecting piece with the longitudinal rib, the synergistic force performance is poor, the force transmitted to the steel plate after the concrete cracking increases, and the restraining effect of the longitudinal rib on the concrete is poor.Figure 13
Strain-load curves for each measuring point at the bottom of the specimens: (a) SP1, (b) SP4, and (c) SP5.
(a)(b)(c)Figure14 is the height-strain curve of the SP2. It can be seen that the cross section strain of the test beam varies linearly along the height direction, and the assumption of flat cross section is valid. In addition, the position of the neutral layer of the test beam gradually moves down during the loading process. The main reason is that the steel plate acts synergistically in the lower layer of the specimen, and the stress change is smaller than that in the upper layer, which results in the noncoincidence of the strain neutral layer and the geometric neutral layer, and the strain neutral layer moves downward.Figure 14
Section height-strain curve.


## 4. Finite Element Analysis (FEA) Model

### 4.1. Analysis of the Load Transfer Mechanism in Interface

The bearing capacity of the studs and ribs shear connectors were affected by the material properties of concrete, the material properties of the studs and ribs shear connectors, and the bond properties of the interface. Among them, the interaction between shear connectors and concrete in spatial scale determines the mechanism of load distribution and the distribution characteristics of concrete damage and then affects the bearing capacity of the two materials, respectively. Therefore, based on force mechanism analysis, the shear connectors and concrete under the three-dimensional scale of relative motion are decomposed; the interaction of shear connectors and concrete separately for the equivalent of two kinds of materials to the interface method of mutual extrusion, toroidal at the interface between the mutual friction and reinforcing rib protrusions and concrete local extrusion, the load transfer mechanism of the corresponding description and quantitative calculation method was proposed to characterize the damage effect of concrete influence on bearing performance, thus establishing the stud three-dimensional constitutive relationship of concrete interface model, as shown in Figure15. Then, by studying the distribution characteristics of concrete damage along the axial direction of studs, the compression strain of concrete is chosen as the quantitative index to characterize the damage degree of concrete, and a quantitative calculation method is proposed to consider the coupling effect of axial bonding damage and local compression damage on the interface load transfer performance. Based on the experimental results, the correlation index in the model is calibrated, and then the spatial three-dimensional stress field of the steel-concrete interface model is constructed, which provides a numerical analysis tool for the study of the mechanical properties of the steel-concrete interface.Figure 15
Three-dimensional relative motion decomposition and load transfer of interface.Through the above methods, the relative motion of concrete and stud shear connectors in the spatial coordinate system is decomposed, and the corresponding load transfer mechanism is determined in the three directions of interface normal, interface ring, and stud axis, respectively. When the composite member is under load pressure or tension, the normal stress between the concrete and the contact surface of the stud is equivalent to the mutual extrusion between the stud and the concrete. The annular displacement of the interface is equivalent to the friction between the stud and the concrete. The axial failure of the stud is regarded as the local extrusion between the stud and the concrete. Assuming that the circumferential friction along the interface of the model meets the molar coulomb criterion, the circumferential stress and the normal stress can be calculated according to (1) and (2), respectively, as shown in Figure 16:(1)dτn=Gndδ1,∫pathdτn≤μσn,(2)Enω,ω<0,0,ω≥0,where τn is the axial friction stress, σn is the normal stress, μ is the sliding friction coefficient between steel and concrete, and Gn is the axial friction stiffness.Figure 16
Quantitative expression.Additionally,Gn and En are calculated as follows:(3)Gn=0.5En,(4)En=343fc1/3,where fc is the compressive strength of concrete.


### 4.2. Verification of FEA Model

In this paper, the nonlinear analysis software Link3D developed by Maekawa [23] in Japan was used to simulate the test of steel-concrete composite members. The FEM of the composite structure is shown in Figure 17. The model was built according to the actual size of the specimen. In order to better simulate the real test situation, the loading point and the constraint point were all at the element node. The ratio of model elements in the x-direction is 150 : 40 : 20 : 100 : 90 : 90 : 100 : 20 : 40 : 150, the ratio of model elements in the y-direction is 100 : 25 : 200 : 200 : 200 : 200 : 200 : 200 : 175 : 175 : 200 : 200 : 200 : 200 : 200 : 200 : 25 : 100, and the thickness of the steel plate in the z-direction is 1.4 cm; the height of the concrete element is 30 cm and it is divided into 10 parts on average and a total of 1980 elements were established. The load step setting is consistent with the test load. If we consider the initial imperfections, we need to set imperfections in the model before being subjected to the load, and we will consider these factors in future research.Figure 17
FEM simulation model.In addition, considering the interaction between concrete and steel plate, a bond element is set at the surface between concrete and steel plate. The bond element is shown in Figure18, and the material properties of the bond element are set according to Table 6. The material properties of concrete element and steel plate element are shown in Figure 19.Figure 18
Bond element.Table 6
Material properties of the bond element.
Shear stiffness in closure mode (kgf/cm3)Normal stiffness in closure mode (kgf/cm3)Frictional coefficientShear stiffness in open mode (kgf/cm3)Normal stiffness in open mode (kgf/cm3)1000010000000.510010Figure 19
Material properties of the model: (a) material properties of the concrete element and (b) material properties of the steel plate element.
(a)(b)To verify the validity of the FEM model, load-deflection curve by the above-mentioned FEM model was compared with the tested results in this paper, as shown in Figure20.Figure 20
Comparison of load-deflection curve between simplified model and test results.It can be seen from the simulation results that the numerical results obtained by the simulation method in this paper are slightly larger than the experimental results. However, the deviation is small, which can reflect the failure of steel-self compacting concrete composite members more accurately. The applicability of the model is verified, which has an important reference value for the study of similar tests and the prediction of mechanical properties of steel self-compacting concrete composite members.


## 4.1. Analysis of the Load Transfer Mechanism in Interface

The bearing capacity of the studs and ribs shear connectors were affected by the material properties of concrete, the material properties of the studs and ribs shear connectors, and the bond properties of the interface. Among them, the interaction between shear connectors and concrete in spatial scale determines the mechanism of load distribution and the distribution characteristics of concrete damage and then affects the bearing capacity of the two materials, respectively. Therefore, based on force mechanism analysis, the shear connectors and concrete under the three-dimensional scale of relative motion are decomposed; the interaction of shear connectors and concrete separately for the equivalent of two kinds of materials to the interface method of mutual extrusion, toroidal at the interface between the mutual friction and reinforcing rib protrusions and concrete local extrusion, the load transfer mechanism of the corresponding description and quantitative calculation method was proposed to characterize the damage effect of concrete influence on bearing performance, thus establishing the stud three-dimensional constitutive relationship of concrete interface model, as shown in Figure15. Then, by studying the distribution characteristics of concrete damage along the axial direction of studs, the compression strain of concrete is chosen as the quantitative index to characterize the damage degree of concrete, and a quantitative calculation method is proposed to consider the coupling effect of axial bonding damage and local compression damage on the interface load transfer performance. Based on the experimental results, the correlation index in the model is calibrated, and then the spatial three-dimensional stress field of the steel-concrete interface model is constructed, which provides a numerical analysis tool for the study of the mechanical properties of the steel-concrete interface.Figure 15
Three-dimensional relative motion decomposition and load transfer of interface.Through the above methods, the relative motion of concrete and stud shear connectors in the spatial coordinate system is decomposed, and the corresponding load transfer mechanism is determined in the three directions of interface normal, interface ring, and stud axis, respectively. When the composite member is under load pressure or tension, the normal stress between the concrete and the contact surface of the stud is equivalent to the mutual extrusion between the stud and the concrete. The annular displacement of the interface is equivalent to the friction between the stud and the concrete. The axial failure of the stud is regarded as the local extrusion between the stud and the concrete. Assuming that the circumferential friction along the interface of the model meets the molar coulomb criterion, the circumferential stress and the normal stress can be calculated according to (1) and (2), respectively, as shown in Figure 16:(1)dτn=Gndδ1,∫pathdτn≤μσn,(2)Enω,ω<0,0,ω≥0,where τn is the axial friction stress, σn is the normal stress, μ is the sliding friction coefficient between steel and concrete, and Gn is the axial friction stiffness.Figure 16
Quantitative expression.Additionally,Gn and En are calculated as follows:(3)Gn=0.5En,(4)En=343fc1/3,where fc is the compressive strength of concrete.


## 4.2. Verification of FEA Model

In this paper, the nonlinear analysis software Link3D developed by Maekawa [23] in Japan was used to simulate the test of steel-concrete composite members. The FEM of the composite structure is shown in Figure 17. The model was built according to the actual size of the specimen. In order to better simulate the real test situation, the loading point and the constraint point were all at the element node. The ratio of model elements in the x-direction is 150 : 40 : 20 : 100 : 90 : 90 : 100 : 20 : 40 : 150, the ratio of model elements in the y-direction is 100 : 25 : 200 : 200 : 200 : 200 : 200 : 200 : 175 : 175 : 200 : 200 : 200 : 200 : 200 : 200 : 25 : 100, and the thickness of the steel plate in the z-direction is 1.4 cm; the height of the concrete element is 30 cm and it is divided into 10 parts on average and a total of 1980 elements were established. The load step setting is consistent with the test load. If we consider the initial imperfections, we need to set imperfections in the model before being subjected to the load, and we will consider these factors in future research.Figure 17
FEM simulation model.In addition, considering the interaction between concrete and steel plate, a bond element is set at the surface between concrete and steel plate. The bond element is shown in Figure18, and the material properties of the bond element are set according to Table 6. The material properties of concrete element and steel plate element are shown in Figure 19.Figure 18
Bond element.Table 6
Material properties of the bond element.
Shear stiffness in closure mode (kgf/cm3)Normal stiffness in closure mode (kgf/cm3)Frictional coefficientShear stiffness in open mode (kgf/cm3)Normal stiffness in open mode (kgf/cm3)1000010000000.510010Figure 19
Material properties of the model: (a) material properties of the concrete element and (b) material properties of the steel plate element.
(a)(b)To verify the validity of the FEM model, load-deflection curve by the above-mentioned FEM model was compared with the tested results in this paper, as shown in Figure20.Figure 20
Comparison of load-deflection curve between simplified model and test results.It can be seen from the simulation results that the numerical results obtained by the simulation method in this paper are slightly larger than the experimental results. However, the deviation is small, which can reflect the failure of steel-self compacting concrete composite members more accurately. The applicability of the model is verified, which has an important reference value for the study of similar tests and the prediction of mechanical properties of steel self-compacting concrete composite members.


## 5. Conclusions

The behavior of steel self-compacting concrete beams has been studied under cyclic loads. And the finite element model is developed. Further research is also still needed on steel self-compacting concrete beams that are used in the field. From the range of the test parameters studied in this paper, the following conclusions can be drawn based on the above results:(1)
Under the early low load, the steel and concrete meet the plane section assumption, and the interaction between them is not obvious. After the load is gradually increased to a certain degree, the concrete will be under pressure and generate microcracks at the interface. The load will be transferred to the steel plate through the shear connector. At this time, the constraint effect of the shear connector on the concrete becomes obvious. The setting of shear connectors can greatly enhance the ultimate bearing capacity of steel-concrete composite structures, in which the ultimate bearing capacity of composite members composed of studs-ribbed shear connectors is increased by about 24% compared with that of composite members composed of only longitudinal ribbed shear connectors. In such projects, the interface processing method of SP1 is the most reasonable.(2)
From the slip curve, the steel self-compacting concrete beam with the stud or the transverse rib as the connecting piece can be seen; during the whole loading process, there is no obvious relative slip phenomenon. The concrete and steel plate always work together, and the overall bearing capacity is good. The restraining effect is the best, and the slip does not change.(3)
The stud-longitudinal rib shear connectors and transverse rib-longitudinal rib shear connectors perform best under the cyclic load. When the SP1 is broken, the crack is concentrated at the compression axis, and when the SP4 is broken, the crack is concentrated at the transverse rib. When the transverse ribs are used as shear connector, the cracks produced by the specimen under stress tend to expand diagonally, which is more prone to shear failure. When considering slippage, SP1 and SP4 interface treatment method is the most reasonable, but the crack of SP4 is easy to occur at the shear connector, and the SP1 interface treatment method is the best choice.(4)
As a new material, the compressive strength of self-compacting concrete can meet the compressive strength requirements of ordinary concrete. It has higher applicability for large-scale construction site and complex underground construction, and the test has a higher reference significance for future engineering application.(5)
Based on the finite element modeling theory, the steel-concrete coupling frame with interface load transfer mechanism is analyzed, and the steel-self compacting model was established. The finite element software Link3D is used to simulate the tests of composite components. By comparing the test results with the simulation results, the deviation of the results is small. The model has a certain reference value for similar tests in the future and has an important significance in predicting the mechanical properties of steel-self compacting concrete.



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*Source: 8813544-2020-08-03.xml*