Experimental Study on Influence of Connection Defects on Joint Strength of Half-Grouted Sleeve Splicing of Rebar

*e different types of defects of half grouting sleeves will remarkably increase the risks of precast concrete structures. In order to better understand the defects of rebar connections between half grouting sleeves, six different test groups on insufficient grout height, insufficient compactness, rebar offset, insufficient rebar anchor length, overtime grouting, and control group had been researched. *e uniaxial tension experiments were conducted for the 24 different specimens, and load-slip curves were also analyzed. *e results of the experiments showed that the outside of the rebar was snapped off as for the destruction mode, while the destruction mode changed as the increment of the degree of defect surpasses the critical value. *e bearing capacity and deformability were dropped with the increase in the degree of defects, and a critical value of rebar anchoring length of sleeve was discovered. In the end, different finite-element models were built based on different deficient situations, and load-slip constitutive model was obtained, which would be helpful to evaluate the structural performance of precast concrete structures in construction.


Introduction
Precast concrete (PC) structure is widely adopted because of its notable advantages such as high quality, high industrialization level, high construction speed, low labor intensity, and green construction [1]. At present, the factors that influence the assembled building construction safety mainly include node and structure designs. Grouted sleeve effectively solves the technical problems of node connection to precast the concrete component. Grouted sleeve, including whole-grouted sleeve and half-grouted sleeve [2], among which the rebar of one end of half-grouted sleeve was processed into external straight thread connected to straight thread in sleeve and the other end was inserted into sleeve cavity, was connected by injecting special joint grouting material, and this process is more widely and conveniently adopted.
Scholars at home and abroad have developed a series of researches about the prefabricated concrete structures. Qin et al. [3] had compared the seismic resistance of monolithic precast concrete structure (MPCS) with cast-in-place structure (CIPS). e results show that, except for typical features, MPCS and CIPS generally have similar seismic responses and prove that they have better seismic performance without collapse under high-intensity seismic waves. Zhang et al. [4] studied and predicted the service life of precast concrete structures in chloride environment. e analysis shows that the initial state of corrosion and use limit state are sensible of the chloride diffusion coefficient within connecting area, and a higher pitting factor has obvious influence on the bearing capacities of PC structures. Wu t al. [5] presented the calculation method of the bending resisted bearing capacity of precast grouted shear wall influenced by node displacements. Pan et al. [6] strengthened the precast reinforced frame to reduce the possibility of continuous collapse by externally stuck carbon fibre-reinforced polymer (CFRP) sheets to hybrid fibre-reinforced polymer (HERP) anchors. e reinforce result is extremely evident at the early stage of catenary effect, and there is no shearing failure of HERP anchors, which prove the effectiveness of the anchoring method. Guo et al. [1] raised a simplified calculation method to predict the lateral strength of the precast shear wall. Taking a three-decker precast wallboard structure as an example, they used a proposed numerical model to evaluate the collapse performance of raised precast structural system, and the results show that the structural system with bolt connections has higher stiffness and seismic resistance against collapse. e above content is the research of some scholars on the precast structure, so it can be seen that the precast structure is very advanced compared with the traditional structure. However, the most important factor affecting the prefabricated structure is the connection of the half-grouted sleeve. So the connection performance of the half-grouted sleeve is very important. e following is the research of some scholars on the half-grouted sleeve. e grouted sleeve invented by Dr. Yu Zhanshu in 1967 was firstly applied to build the 39-tier hotels in the 1970s, and it has been used for 52 years. e America Concrete Association included the rebar sleeve connection technology as one of the main techniques of rebar connection. Zhang et al. [7] studied the mechanical properties of half-grouted sleeve at high temperature. e stretch results from 12 half-grouted sleeve specimens and 12 rebars at different temperatures showed that the tensile properties of half-grouted sleeve joints are directly influenced by temperatures. Zhao et al. [8] studied a kind of glass fibre reinforced polymer splicing sleeve with corrugation (CP-GFRP) which has advantages such as light weight, sheet material, and excellent tensile properties. Xu et al. [9] studied 126 specimens with insufficient grouting structure in total. Regarding the destruction models under different defect levels, a bond stress-slip constitutive model has been proposed and it was beneficial to evaluate the structural performance of PC structures in practice. Lamport et al. [10] studied the influences of the relative position of loading pattern, shear connection, and the connection adhesive strength from grouting strength to grouting pile casing.
e experiment results show that the ultimate bearing capacity of sleeve connection is related to the square root of the grouting strength. Hayashi et al. [10] tested the bond stress distribution of the deformed bar embedded in the grouting sleeve, and the relations between the maximum local bounding stress and rebar slip were given. Einea et al. [11] proposed four types of grouting sleeve structures with different internal parts; bond strength was obtained theoretically considering the restraining action of sleeve, and the results were compared with the result of the grout joints' drawing experiment. e finite element simulation of new pore-forming grouted connector with welded closure confinement steels (NPGCS) spaced model studied by Wu and Liang et al. [12] is reliable and relatively accurate. e following researches were mainly processed based on grouting sleeve connection; however, during the assembled building construction, conditions such as insufficient anchoring length, rebar position offset, and grouting defects caused by grout blocked, leaking, and temperature usually occurred. erefore, 24 half-grouted sleeve connection joints were made in this experiment in order to stimulate the five defects including vertical insufficient grouting height, insufficient compactness, rebar offset, insufficient rebar anchor length, and overtime grouting that were produced in the practical construction process. Uniaxial tension experiment was made to analyze the influences on the defects above the connection performance of halfgrouted sleeve joints.

Materials and Specimen Preparation.
is experiment used the nodular cast iron grouting sleeve (see Figure 1); one end is the mechanical one of ribbed rolled straight thread, and the other one is a sleeve cavity that was used to insert rebar and pour into grouting material. It suited the HRB400 [13] rebar with 16 mm in diameter, the anchor length is 130 mm, the yield strength and the ultimate strength that connected the rebars are 400 MPa and 540 MPa, and the results from the experiment show that the average yield strength and ultimate strength are 416 MPa and 582 MPa (see Table 1). e exclusive grouting material with 85 MPa [15] compressive strength was used as the bonding material, and the average compressive resistance is 86.5 MPa (see Table 2).
(1) Control group: we made the control group according to the design of GTZB4 16/16C half-grouted sleeve, the lower part is the HRB400 [13] rebar with 16 mm in diameter that was inserted for 130 mm, the grouting material was fully mixed according to 12% of the hydration ratio, and it also avoids the bubbles from it; then, after 2-minute stand, we used the grouting spear manually grouting through inlet, and we also used the rubber plug to block off the outlet after the grouting material was evenly bubbled out of it. (2) Insufficient grout height specimen: leaking might happen if the rubber plugs blocked off the sleeve loosely, and it will cause the top of the sleeve connection failure; therefore, a group of grouting defects with a height of 104 mm (6.5 d) was made. (3) Insufficient compactness specimen: insufficient compactness specimen, i.e., the defect caused by bubbles from the grouting material. We evenly mixed the grouting material with EPS foam particles of 1-2 mm in diameter and stimulated the grouting defect produced in the process of hydration, and we also made a group of specimens with 20% of porosity. (4) Rebar offset specimen: engineering construction quality defects often lead to position shift of rebar or sleeve and forms rebar offset joints; machine connection end is inserted into the center of sleeve, while the other end of offset rebar crosses rib contacting the sleeve wall, and the rebar axis Max excursion is 5 mm (0.3 d). As a result, we made a group of offset joint specimens. (5) Insufficient rebar anchor length specimen: insufficient rebar retention length will cause insufficient rebar anchor length, which is a relatively serious engineering weakness. For this reason, 3 groups of specimens with different anchoring depths were made, and the inserted rebar depths were 120 mm (7.5 d), 104 mm (6.5 d), and 88 mm (5.5 d). (6) Overtime grouting specimen: we mixed excessive grouting material at one time, the mixed grouting material was placed for too long, and it influences the liquidity and the expansion rate performance. We stimulated the grouting specimen after grouting timeout, fully mixed the grouting material according to instructions, and stood for 30 min; then, we mixed it again and grouted. erefore, one group of overtime grouting specimens was made.
Six types of specimens (see Figure 2) including 1 control group, 1 group of insufficient grout height, 1 group of insufficient compactness, 1 group of rebar offset, 3 groups of insufficient rebar anchor length, and 1 group of overtime grouting were made. 3 control individuals were prepared for the same type of specimens; as a result, 24 specimens were made in the experiment.

Experimental Procedures.
In order to test the load-slip curves of the specimens, a WED-1000 electronic universal machine was used to vertically fix two ends of the sleeve joints, gradually loading from zero until the specimen destroyed, and the separate speed of universal machine chuck is 0.5 kN/s. Independent grouting method of vertical members was applied, uniaxial tension experiment was made after 28 days of specimen maintenance, and the experimental procedure is shown in Figure 3. e applied tensile load was measured by the inbuilt load cell, and the slip of reinforcing rebar to sleeve was monitored by linear variable differential transformer (LVDT). e experimental conditions are shown in Table 3.

Finite Element Analysis
Currently, China's detection technology of the grouting sleeve is not mature, so it is necessary to analyze and study the force performance of the grouting sleeve in various circumstances through finite element values and further research the failure mechanism of the grouting sleeve except relevant experiments. Applying finite element software to stimulate data analysis of half-grouted sleeve joints, we compared the load-slip curves to demonstrate the reliability of the experiment and stimulation and analyzed the internal force of grouting sleeve joints.
As there is no mature constitutive model of the grouting material, the constitutive model of the concrete was applied to build the constitutive model of the grouting material in the finite element analysis. e bonding material was the BY (S)-YJ85 grouting material, the compressive strength was 86.5 MPa, the density was 2500 kg/m 3 , the elastic modulus was 38 GPa, Poisson's ratio was 0.2, and the bilinear model [16] was applied to obtain the grouting stress-strain curve (see Figure 4).   e standard means the demand of grout according to the specification content of JGT 408 [15]. e density of the half-grouted sleeve was 7300 kg/m 3 , the elastic modulus was 205 GPa, Poisson's ratio was 0.3, the ultimate strength was 550 MPa, and the sleeve stress-strain curve was conducted according to the elastic model (see Figure 5). e HRB400 [13] deformed bars of 16 mm in diameter were applied in the experiment; the average yield strength and the ultimate strength were 416 MPa and 582 MPa; Young's modulus was 210 MPa, Poisson's ratio was 0.3, the elastic modulus was 203 MPa, and the density was 7850 kg/m 3 . As for the rebar stress-strain curve, you can refer to it (see Figure 6) from

Experiment Results and Analyses
When load is less, the rebar and the sleeve are all in the elastic stage and there is no slip happening to them during the experiment. As the load grows, different developments happen in specimens with distinct defects. For the specimens with less defects, a larger slip occurred between rebars and sleeves, and the destruction mode is rebar broken. As the defects grow, the slips decrease, the bonding strength between the grouting material and the sleeve constantly reduces, and this eventually leads to rebar pullout failure. e experiment shows that the specimens displayed three destruction modes [18], i.e., rebar tension fracture, rebar pull out due to bond failure, and the thread shear failure. e compressive resistance of grout sleeve splicing rebar joints should not be less than the standard value of tensile strength of connecting bars (the standard value of tensile strength of rebars in this research was 540 MPa), and it should break outside the joint when destruction happens. e yield strength of the grout sleeve splicing rebar joints

Advances in Civil Engineering
should not be less than the standard value of yield strength connecting the rebars (the rebar yield strength standard value in this research was 400 MPa). e specimens were qualified when simultaneously meeting the two demands above.

Control
Group. e load-slip curves of the control group are shown in Figure 7. Experimental results of 3 control groups are extremely close; therefore, we take average value (AVG) as the reference group. e curve changes evidently resulting in four stages after the instrument applied a tensile load evenly. At the first stage (stage AB), the load linearly increases as the slip grows, and the specimen is in elastic deformation; the second stage (stage BC) is the horizontal yield stage, and the average yield load is 87.35 kN; at the third stage (stage CD), because of the high anchoring capacity of the grouting material, the load exerted on gradually rises, and it leads to the strengthening stage. Point D represents the ultimate load, 120.66 kN Max; at the fourth stage (stage DE), the necking of rebars occurs, the curve fast drops, the average slip is 7.32 mm, and rebar outside of the sleeve fracture finally happens. e finite element curve and the experimental curve are basically coincided before the rebar yield; after the rebar yield, an ideal trifold line model is used for the constitutive relation of rebars and the strengthening stage is a straight line, while the actual strengthening stage of the rebar should be a convex curve. As a result, the finite element load-slip curves and the experimental curves were fundamentally in consilience despite slight differences in the strengthening stage. erefore, this is a grout sleeve splicing rebar model with a reference value.
As can be seen in the analysis results of the finite element stimulation in Figure 8, the largest part of the whole joint is on the connecting rebar outside the sleeve and then the stress on the sleeve; in contrast, the grouting material receives less stress. e stress on the lower part of the connecting rebar gradually increases from top to bottom, the part without grout wrap is very evident, the stress sharply grows, and it finally leads to fracture; the maximum stress is 588 MPa. e stress of the grouting material gradually grows from the axial stress contacts sleeve to rebar, and the maximum stress is 387.39 MPa. Experiment and stimulation data of the control group are shown in Table 4.

e Insufficient Grout Height Specimen.
e load-slip curves of vertical insufficient grouting height specimen are shown in Figure 9. e experimental results were excluded because of the error of specimen 3 in the process of load application. e load-slip curves are still evidently present in four stages compared with the control group (reference group AVG); ultimate load drops from 119.73 kN to 115.02 kN and 114.58 kN, and bond slip decreases from 7.32 mm to 7.14 mm and 7.29 mm, which explains that the sleeve bearing capacity descends and the bond slipped displacement decreases. e finite element stimulation of the load-slip curves and the results of the experiment basically coincides; however, the result of the fourth stage appears as obvious falling branch. e experiment and stimulation data of vertical insufficient grouting height specimen can be seen in Table 5.
From the results of the finite element stimulation analysis in Figure 10, the rebar stress value of sleeve cavity is the smallest and not affected by the bond stress of the grouting material. e stress of the lower part of rebars is the largest and develops, which coincides with the experimental destruction. e grouting stress increases from 91.85 MPa to 97.91 MPa, which indicates the stress on grouting materials grows in the condition of insufficient grouting height. e sleeve stress on top maximizes, the grip strength is not enough to anchor rebars, and the specimen may have the condition of rebar extraction mentioned above.
We applied the finite element software to make stimulation analysis (see Figure 11) of the rebar anchoring with the height of 88 mm (5.5 d) in order to discover the influence critical value of the insufficient grouting height. e results of the experiment show that the bearing capacity of grouting sleeve joint drops to 536.62 MPa when the grouting height is 88 mm (5.5 d), which does not meet the requirement of the tensile strength. As a result, 88 mm (5.5 d) of the grouting height is an extremely significant critical value.

e Insufficient Compactness Specimen.
e insufficient compactness specimen is the grouting material filled up with 20% of foam particles, the destruction model of joints-rebar break turns to rebar extraction, and the slip decreases from 7.32 mm to 4.24 mm, 3.71 mm, and 4.20 mm. It can be seen from the load-slip curves (see Figure 12) that the elastic stage (stage AB) and the yield stage (stage BC) are basically coinciding with the control group curves. When the joint develops into the strengthening stage, the anchoring capacity is not enough to bear the weight of tensile strength; rebar extraction destruction suddenly happens, which leads to joint damage before the necking stage. e ultimate load  3D models are used to stimulate insufficient compactness specimen (see Figure 13). e overall stress of the joint gradually and vertically grows from the outlet hole to both ends, and the rebar stress outside the sleeve sharply rises. e load stress of the grouting material at the bottom of the sleeve gradually increases to 91.75 MPa; rebar extraction and peeling of the grouting material eventually occurs. Experiment and stimulation data are shown in Table 6.

Rebar Offset Joints.
e rebar at the lower part of the rebar offset joint is closely stuck to the sleeve wall and kept away from the inlet and one side of the outlet hole in order to avoid the effect of the grouting. As can be seen in Figure 14, the experiment and load-slip curves stimulation are basically coincided, and there are some branches on the descending part. e destruction result shows that the rebar above is broken because the eccentricity of the rebar connected is subjected to the greatest lateral force (see Figure 15), the         Advances in Civil Engineering lower rebar decreased rapidly with the increasing eccentricity, and the lateral force of the grouting material and the sleeve increases with the eccentricity, which are all in reasonable ranges. Ultimate load falls from 19.93 kN to 115.76 kN and 114.28 kN (see Table 7); slip drops from 7.32 mm to 6.99 mm, 6.74 mm, and 6.98 mm, which indicates that the bearing capacity slightly descends and the slip decreases as the rebar eccentricity increases.

e Insufficient Rebar Anchor Length
Specimen. e experiment and stimulation results from the insufficient anchoring length specimen are very close (see Figure 16), and the load-slip curves are basically coincided. As it can be seen in Figure 17, the rebar stress gradually decreases as the rebar penetration reduces, and the rebar fracture turns to rebar extraction destruction. On the contrary, the grouting stress raises from 94.34 MPa to 110.24 MPa and sleeve stress         Table 8) as the decline of rebar anchoring length. e compressive resistance and yield strength are still in reasonable ranges when rebar anchoring length successively decreases from 130 mm (8 d) to 120 mm (7.5 d) and 104 mm (6.5 d). e bonding strength of the grouting material does not meet the compressive resistance, and the rebar and the grouting material are pulled out simultaneously with a little peel off the grouting material.

e Overtime Grouting Specimen.
We applied the no finite element stimulation because the grouting constitutive model is not well-developed yet. After 30 minutes of grouting, the grouting fluidity decreases because of hydration, which makes the possibility of blockage grows when grouting. As shown in Figure 18, the elastic stage (stage AB), the yield stage (stage BC), the strengthening stage (stage CD), and the necking stage (stage DE) basically coincide. As shown in Table 9, the ultimate load decreases from 119. 73 kN to 117.62 kN, 117.46 kN, and 115.38 kN, while the bearing capacity is still in a reasonable range.

Discussion
Different degrees of defects of grouting sleeve joints significantly affect the safety of the prefabricated component connection. To better understand the force performance in different circumstances of defects of the grouting sleeve joints, uniaxial tension experiments and finite element stimulation analysis of 24 specimens were done. As shown in Table 10, P u ′ and P y ′ , respectively, represent the ultimate load and yield load from the finite element analysis, P y is the yield load from the experiment, and P u is the bearing capacity when the rebar breaks or extracts. e results of the load-slip curves between the control group and the defect specimen are very close, which are below 3%, except P u ′ /P u of GTZB16-DZ-88 mm is 5%, with a minimum 1% of error. As a result, analysis approaches of this research could provide bearing capacity results that meet accuracy requirements.
As shown in Figure 19, for the comparison of the bearing capacity of the five defective specimens with the reference group, the upper limit (blue line) is the average rebar stress of the standard specimen 595.67 MPa, and the lower limit (grey line) is the standard value of tensile strength of    connecting rebar; that is, the standard value of tensile strength of HRB400 rebar is 540 MPa. e order of rebar stress of each group of joints is as follows: control group > overtime grouting specimen (30 min) > insufficient rebar anchor length specimen (7.5 d) > insufficient rebar anchor length specimen (6.5 d) > rebar offset specimen > insufficient grout height specimen (6.5 d) > insufficient compactness specimen (20%) > insufficient rebar anchor length specimen (5.5 d). us, it can be seen that the anchorage depth of rebar is the biggest factor affecting the bearing capacity of joints, followed by compactness and grouting height.  Advances in Civil Engineering 13

Conclusion
e connection defects of sleeve connection between RC members can significantly increase the risk of the premature failure of PC infrastructures. To better understand the bond behavior of the sleeve connection, a systemic experimental investigation has been carried out on 24 specimens of sleeve connection subjected to tensile load. Based on the experimental observations and discussions, the main conclusions can be drawn as follows: (1) e bearing capacity of joints falls, and the slip between sleeves and rebars decreases with the increment in different degrees of defects of grouting sleeves. e destruction mode is the rebar outside of joints fracture when the defect is less; the destruction mode changes,   Figure 19: Comparison of rebar stress (unit: MPa). A, control group; B, insufficient grout height specimen; C, insufficient compactness specimen; D, rebar offset specimen; E, insufficient rebar anchor length specimen (E1: 7.5 d, E2: 6.5 d, and E3: 5.5 d); F, overtime grouting specimen. 14 Advances in Civil Engineering which leads to pullout failure of the lower part of the rebar with a little peel off of the grouting material as defects increase and surpass the critical value. (2) e insufficient compactness is an important factor, affecting the bonding performance of sleeve connections. 20% of bubbles produced in the grouting material reduces the bond strength between the grouting material and sleeves and rebars, the anchoring force of the grouting material is not enough, the rebar does not meet the bearing capacity, the destruction mode is pullout of the lower part of the rebar, and the bearing capacity and the deformation capacity come down. In particular, the stress value of the joint and the rebar decreases, while the stress value of the grout and sleeve increases. (3) e anchorage length of 5.5 d rebar is a very critical value. e uniaxial tension force of joints still meets the demand when the rebar anchoring length of sleeves is not less than 6.5 d; the destruction of joints varies from rebar fracture to rebar pullout failure of the decline in bearing capacity and deformation capacity when the anchoring length is less than 5.5 d. Due to the decrease in anchorage depth of rebar, the bond strength of grout can no longer meet the tensile strength. (4) e destruction mode is the fracture of the upper part of the rebars, and the sleeve connection is still valid when the lower part of the rebar closely contacts the inner wall of sleeves which causes an increment in lateral stress on the upper part of the rebar. (5) As for the GTZB4 16/16C joint, the vertical grouting height is 80% 8 d, over 30 minutes grouting, and defects to rebar anchoring are 7.5 d and 6.5 d, and the bearing capacity and deformation capacity of joints slightly descend, while the sleeve connection is still effective.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare that they have no conflicts of interest.