# Effects of PET Fibers on Pumpability, Shootability, and Mechanical Properties of Wet-Mix Shotcrete

Authors: Xiangfei Cui; Guoming Liu; Cheng-long Wang; Yudong Qi
Journal: Advances in Civil Engineering
 (2019)

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## Abstract

Polyethylene terephthalate (PET) fiber from waste plastic bottles is an environmentally friendly fiber that can improve the mechanical properties of wet-mix shotcrete. The main objective of this paper is to investigate the effects of PET fiber parameters on pumpability, shootability, and mechanical properties of wet-mix shotcrete. For this purpose, the orthogonal test based on three factors and three levels was conducted. The width, length, and content of PET fiber were selected as the experimental variables. The tests of wet-mix shotcrete reinforced by PET fibers were carried out, along with properties tests such as slump, pressure drop, build-up thickness, compressive strength, and splitting strength. The results showed the change trend of shotcrete performances with increasing PET fiber parameters (width, length, and content). According to the orthogonal test, PET fiber parameters were determined (1 mm width, 20 mm length, and 5 kg/m3 content). Furthermore, relationships between slump and pumpability and shootability were explored, as well as the relationships between pumpability, shootability, and mechanical properties. It was found that pressure drop and compressive strength had the strongest negative linear relationship among all fitting relationships. We hoped that this study could contribute the useful information for the application of wet-mix shotcrete mixed with PET fibers.


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## Body

## 1. Introduction

Shotcrete technique is widely used in the repair industry, underground support, slope stabilization, and in some areas that are difficult to reach with conventional concrete [1–5]. In some engineering applications, shotcrete suffers the pressure from the surrounding environment, such as the surrounding rock in mining roadway. This pressure may cause cracks in the concrete matrix. In addition, moisture loss caused by evaporation also creates the chance for the plastic shrinkage cracking [6–8]. The most effective technique of mitigating concrete cracking is by reinforcing shotcrete with fibers. Randomly distributed fibers in concrete provide bridging forces across cracks and thus improve the concrete strength [9–12]. So far, different types of fibers have been used in reinforced concrete. These fibers are divided into synthetic and natural fibers.Of all fibers used today, waste polyethylene terephthalate (PET) fiber is considered to the ecofriendly fiber. PET fiber is made from the recycle PET bottles such as beverage bottles. They have been proven to effectively reduce shrinkage and to enhance the ductility of concrete [13–17]. Recently, the environmental benefits of using these waste materials will encourage engineers to use them in engineering structures such as shotcrete support [18]. The application of PET plastic fibers not only mitigates environmental pollution but also improves the performance of concrete to some extent. Reinforced concrete with PET fiber has been actively studied in construction projects.There are two methods for producing the PET fiber. One way is to cut a PET bottle by hand or using a mechanical cutting device [11, 13, 19]; the other is to melt the PET bottle and then pull them into monofilaments by an extruder [15, 20–23]. The properties of PET fiber, such as physical, chemical, and mechanical features, affect the concrete reinforcement. In the literature studies [11, 19], the properties of PET fiber from 6 different bottle brands were studied and DSC analyses were done to explore the similarities in the thermal behavior of the PET bottle samples; FTIR spectroscopy analyses were performed to determine the structural state and homogeneity of PET fibers; tension tests of PET fibers were done by pulling the fiber along the longitudinal direction. The results showed that all the PET samples basically presented the same spectrum; only slight differences were observed in the DSC thermograms; the tensile strength had a minor variation from one sample to another (range: 108 ± 15 MPa). It could be concluded that PET fibers from various plastic bottles nearly have the similar characters.As indicated in the literature studies [17, 24], the use of PET fibers could improve the mechanical properties of concrete mixture. Foti [19] studied the effects of lamellar and ring-shaped PET fibers on concrete ductility; the results showed that the special ring shape helped to bind the concrete on each side of a cracked section. Thereby, the addition of a very small amount of ring-shaped PET fibers could produce the large influence on the toughness of concrete mixtures. Irwan et al. [17] found that mixing PET fibers in concrete enhanced the splitting tensile strength and compressive strength. Fadhil and Yaseen [25] reported that when compared with plain concrete, the rupture strength and impact resistance of concrete panel mixed with PET fibers increased by 34.27% and 157.14%, respectively. In addition, PET fibers were usually added into the asphalt mixture or bitumen, and the results showed that adding PET fibers increased the resistance to permanent deformation and rutting of substrate [14, 26–28]. Khalid et al. [29] investigated the pullout strengths of PET fibers in a concrete matrix by conducting splitting tensile and pullout tests; the author found that the incorporation of high-volume PET fiber activated the failure resistance mechanisms and thereby improved the tensile strength of concrete; it was also found that ring-shaped PET fibers performed better than irregularly shaped PET. Juhász et al. [30, 31] stated that the length of fiber played a key role in fiber-reinforced concrete. The authors found that the pullout strength increased when increasing the embedded length of fibers. The pullout strength was also related to the surface friction and interfacial bond energy between fibers and concrete matrix [32–34].On the contrary, Irwan et al. [35] introduced different volumes of PET fibers (0%, 0.5%, 1.0%, and 1.5%) into concrete specimens and found that the addition of PET fibers significantly decreased the splitting tensile and compressive strength. Luckily, the compressive strength reduced by PET fibers was still within acceptable limits. Kim et al. [36] also indicated that the compressive strength and elastic modulus both decreased as PET fiber volume fraction increased in concrete mixtures.Apart from the aforementioned studies, very few studies were conducted on the application PET fibers in wet-mix shotcrete. Wet-mix shotcrete can improve the stability of surrounding rock in underground roadway, which reduces the mine disasters such as pneumoconiosis, roof collapse, and so on [37–53]. Specifically, the pumpability and shootability of wet-mix shotcrete reinforced by PET fiber were rarely reported. This study was performed to investigate the effects of PET fiber geometry and content on the workability (i.e., slump, pressure drop, and build-up thickness) and mechanical properties (i.e., compressive strength and splitting strength) of wet-mix shotcrete. Build-up thickness refers to the maximum thickness of concrete sprayed on the wall without falling off in the process of spraying fresh concrete. The possibility of developing an alternative fiber material with healthy and ecofriendly qualities was estimated. Furthermore, the orthogonal test was used to determine the optimal PET fiber parameters. It was hoped to develop a type of wet-mix shotcrete reinforced by PET fibers with sufficient workability and mechanism to meet the standards of shotcrete support in mine roadway.


## 2. Experimental Program

### 2.1. Materials

A PO.42.5 Ordinary Portland cement (OPC) was used with a fineness of 3100 cm2/g and a specific gravity of 3.14. The main chemical composition of cement included 57.6% CaO, 19.5% SiO2, 6.45% Al2O3, 3.08% Fe2O3, 2.01% SO3, and 1.3% MgO.Crushed limestone as coarse aggregate was used with a maximum size of 10 mm. Fine aggregate was natural river sand. The fineness moduli of crushed limestone and sand were 5.70 and 2.66, respectively. The specific gravities of crushed limestone and sand were 2.67 and 2.61, respectively. The water absorption of coarse and fine aggregates was considered to correct the water consumption. Figure1 shows the gradation curves for both fine and coarse aggregates that complied with the requirement in national standard GB50086-2001 (Specifications for Bolt-Shotcrete Support). A WT-N1-type nonalkali liquid accelerator was introduced into wet-mix shotcrete to improve the shootability. The physical properties of the accelerator are presented in Table 1. Table 1 and Figure 1 are reproduced from Liu et al. [12].Figure 1
Gradation curves for crushed limestone and river sand.Table 1
Physical properties of the WT-N1-type nonalkali liquid accelerator.
Appearance
Initial setting time (min)
Final setting time (min)
Solid-containing content (%)
Active component
Mixing amount (%)
Brownish liquid
2-3
7–9
61.4
Aluminum sulfate
4–8


### 2.2. PET Fiber

PET fibers were obtained by cutting the waste PET bottles, as shown in Figure2. The fiber dimensions were 1 mm, 2 mm, and 3 mm in width, as well as 10 mm, 20 mm, and 30 mm in length. The thickness of all PET fibers was 0.34 mm. In order to ensure the consistency of experimental variables, PET fibers were cut from the same type bottle of Laoshan mineral water bottle. According to the previous experiments [11, 13, 17], Young’s modulus was 3830 ± 47 MPa, the tensile strength was 108 MPa, and the calculated degree of crystallinity was 23 ± 1%.Figure 2
Cutting PET bottles for PET fibers.


### 2.3. Mixture Composition and Tests

The basic mix proportion used in this study was fixed in terms of cement, water, and coarse and fine aggregates. But the content of PET fibers was variable (5, 7, 9 kg/m3). Table 2 listed the mix proportion of wet-mix shotcrete. Note that the mixture proportions used in this study were based on practical experiments and literature studies [12, 13, 54, 55].Table 2
Mix proportion of wet-mix shotcrete (kg/m3).
Cement
Water
Coarse aggregate
Fine aggregate
Accelerator
PET fiber
440
220
600
1000
22
5/7/9The Taguchi method (we called “orthogonal test”) was applied as a process optimization technique to seek the optimal parameters of PET fiber. The Taguchi method was developed by Genichi Taguchi during the 1950s [56], which uses orthogonal arrays from design of experiments theory to study a large number of variables with a small number of tests. In order to analyze comprehensively the influence of PET fiber parameters on the pumpability, shootability, and hardenability of wet-mix shotcrete, the effects of length, width, and content of PET fibers on slump, pressure drop, build-up thickness, compressive strength, and splitting tensile strength of wet-mix shotcrete were investigated in this study. Table 3 lists the variables and levels used in the study, and Table 4 shows the L9 (34) orthogonal array for the Taguchi method. The L9 (34) orthogonal array means that nine experiments are needed and four variables can be observed. Since there were only three variables (length, width, and content) in our experiment, according to the principle of orthogonal experimental design, a blank column was added to satisfy the requirement of L9 (34) orthogonal array.Table 3
Levels of variables used in orthogonal test.
Variable
Fiber width (mm)
Fiber length (mm)
Fiber content (kg/m3)
Level 1
1
10
5
Level 2
2
20
7
Level 3
3
30
9Table 4
Details of mix proportions in the L9 orthogonal array.
Experimental no.
Independent variables
Blank
Width
Length
Content
No. 1
1
1
1
1
No. 2
1
2
2
2
No. 3
1
3
3
3
No. 4
2
1
2
3
No. 5
2
2
3
1
No. 6
2
3
1
2
No. 7
3
1
3
2
No. 8
3
2
1
3
No. 9
3
3
2
1


### 2.4. Tests of Pumpability, Shootability, and Mechanical Properties

Pumpability of fresh concrete meant that the concrete mixtures could flow in pipes without blockage [57–59]; Shootability was regarded as the ability of fresh concrete to be sprayed with suitable cohesion and adhesion [59–61]. The slump value could reflect these two abilities of fresh concrete. Relatively large slump and small pressure drop implied the good pumpability; relatively low slump and large build-up thickness could indicate good shootability. Although the rebound rate could express the shooting ability of concrete, given that previous literature studies [62, 63] ever reported that the fiber geometry or fiber mass had no significant influence on the rebound rate, we did not carry out the rebound experiment for the wet-mix shotcrete mixed with PET fibers. Therefore, only slump and build-up thickness tests were conducted to estimate the shootability.Slump tests were conducted after mixing concrete mixtures well near the pump. A double plunger pump (Model: SPB7-T) was used to carry out the test of wet-mix shotcrete. The maximum pumping flow was 7 m3/h. The rated pressure of the hydraulic system of the double pump was 16 MPa. The pressure sensors were installed at different distances along the pumping pipes, as shown in Figure 3. The pressure drop was calculated by using equation (1), where P1 and P2 means the pressure measured at different distances; L means the pipeline length between two pressure sensors; and Δp means the pressure drop (kPa/m). Segregation and bleeding were not observed during the slump test:(1)Δp=P2−P1L.Figure 3
Wet-mix shotcrete test (slump test, pressure measurement, and shotcreting).In order to estimate the mechanical properties of wet-mix shotcrete reinforced by PET fibers, the fresh concrete mixtures were firstly sprayed into big ironbox molds. Sprayed concrete was demoulded after 1-day curing at the standard curing chamber with a temperature of 20 ± 2°C and 95% relative humidity. After 7 days curing, the concrete slab was cut into standard cube specimens with dimensions 100 mm × 100 mm × 100 mm. Finally, specimens were cured at standard condition to 28 days. The uniaxial compressive strength and splitting tensile strength of specimens were measured using the electric universal test machine. Figure4 shows the experimental procedure including shotcrete test (a), measurement of build-up thickness (b), compressive test (d), and splitting test (e). All tests followed the Professional Standards of China (DL/T 5181-2003: construction specifications for anchor and shotcrete support of hydropower and water conservancy engineering).Figure 4
Measurement of build-up thickness and tests of mechanism properties of wet-mix shotcrete.


## 2.1. Materials

A PO.42.5 Ordinary Portland cement (OPC) was used with a fineness of 3100 cm2/g and a specific gravity of 3.14. The main chemical composition of cement included 57.6% CaO, 19.5% SiO2, 6.45% Al2O3, 3.08% Fe2O3, 2.01% SO3, and 1.3% MgO.Crushed limestone as coarse aggregate was used with a maximum size of 10 mm. Fine aggregate was natural river sand. The fineness moduli of crushed limestone and sand were 5.70 and 2.66, respectively. The specific gravities of crushed limestone and sand were 2.67 and 2.61, respectively. The water absorption of coarse and fine aggregates was considered to correct the water consumption. Figure1 shows the gradation curves for both fine and coarse aggregates that complied with the requirement in national standard GB50086-2001 (Specifications for Bolt-Shotcrete Support). A WT-N1-type nonalkali liquid accelerator was introduced into wet-mix shotcrete to improve the shootability. The physical properties of the accelerator are presented in Table 1. Table 1 and Figure 1 are reproduced from Liu et al. [12].Figure 1
Gradation curves for crushed limestone and river sand.Table 1
Physical properties of the WT-N1-type nonalkali liquid accelerator.
Appearance
Initial setting time (min)
Final setting time (min)
Solid-containing content (%)
Active component
Mixing amount (%)
Brownish liquid
2-3
7–9
61.4
Aluminum sulfate
4–8


## 2.2. PET Fiber

PET fibers were obtained by cutting the waste PET bottles, as shown in Figure2. The fiber dimensions were 1 mm, 2 mm, and 3 mm in width, as well as 10 mm, 20 mm, and 30 mm in length. The thickness of all PET fibers was 0.34 mm. In order to ensure the consistency of experimental variables, PET fibers were cut from the same type bottle of Laoshan mineral water bottle. According to the previous experiments [11, 13, 17], Young’s modulus was 3830 ± 47 MPa, the tensile strength was 108 MPa, and the calculated degree of crystallinity was 23 ± 1%.Figure 2
Cutting PET bottles for PET fibers.


## 2.3. Mixture Composition and Tests

The basic mix proportion used in this study was fixed in terms of cement, water, and coarse and fine aggregates. But the content of PET fibers was variable (5, 7, 9 kg/m3). Table 2 listed the mix proportion of wet-mix shotcrete. Note that the mixture proportions used in this study were based on practical experiments and literature studies [12, 13, 54, 55].Table 2
Mix proportion of wet-mix shotcrete (kg/m3).
Cement
Water
Coarse aggregate
Fine aggregate
Accelerator
PET fiber
440
220
600
1000
22
5/7/9The Taguchi method (we called “orthogonal test”) was applied as a process optimization technique to seek the optimal parameters of PET fiber. The Taguchi method was developed by Genichi Taguchi during the 1950s [56], which uses orthogonal arrays from design of experiments theory to study a large number of variables with a small number of tests. In order to analyze comprehensively the influence of PET fiber parameters on the pumpability, shootability, and hardenability of wet-mix shotcrete, the effects of length, width, and content of PET fibers on slump, pressure drop, build-up thickness, compressive strength, and splitting tensile strength of wet-mix shotcrete were investigated in this study. Table 3 lists the variables and levels used in the study, and Table 4 shows the L9 (34) orthogonal array for the Taguchi method. The L9 (34) orthogonal array means that nine experiments are needed and four variables can be observed. Since there were only three variables (length, width, and content) in our experiment, according to the principle of orthogonal experimental design, a blank column was added to satisfy the requirement of L9 (34) orthogonal array.Table 3
Levels of variables used in orthogonal test.
Variable
Fiber width (mm)
Fiber length (mm)
Fiber content (kg/m3)
Level 1
1
10
5
Level 2
2
20
7
Level 3
3
30
9Table 4
Details of mix proportions in the L9 orthogonal array.
Experimental no.
Independent variables
Blank
Width
Length
Content
No. 1
1
1
1
1
No. 2
1
2
2
2
No. 3
1
3
3
3
No. 4
2
1
2
3
No. 5
2
2
3
1
No. 6
2
3
1
2
No. 7
3
1
3
2
No. 8
3
2
1
3
No. 9
3
3
2
1


## 2.4. Tests of Pumpability, Shootability, and Mechanical Properties

Pumpability of fresh concrete meant that the concrete mixtures could flow in pipes without blockage [57–59]; Shootability was regarded as the ability of fresh concrete to be sprayed with suitable cohesion and adhesion [59–61]. The slump value could reflect these two abilities of fresh concrete. Relatively large slump and small pressure drop implied the good pumpability; relatively low slump and large build-up thickness could indicate good shootability. Although the rebound rate could express the shooting ability of concrete, given that previous literature studies [62, 63] ever reported that the fiber geometry or fiber mass had no significant influence on the rebound rate, we did not carry out the rebound experiment for the wet-mix shotcrete mixed with PET fibers. Therefore, only slump and build-up thickness tests were conducted to estimate the shootability.Slump tests were conducted after mixing concrete mixtures well near the pump. A double plunger pump (Model: SPB7-T) was used to carry out the test of wet-mix shotcrete. The maximum pumping flow was 7 m3/h. The rated pressure of the hydraulic system of the double pump was 16 MPa. The pressure sensors were installed at different distances along the pumping pipes, as shown in Figure 3. The pressure drop was calculated by using equation (1), where P1 and P2 means the pressure measured at different distances; L means the pipeline length between two pressure sensors; and Δp means the pressure drop (kPa/m). Segregation and bleeding were not observed during the slump test:(1)Δp=P2−P1L.Figure 3
Wet-mix shotcrete test (slump test, pressure measurement, and shotcreting).In order to estimate the mechanical properties of wet-mix shotcrete reinforced by PET fibers, the fresh concrete mixtures were firstly sprayed into big ironbox molds. Sprayed concrete was demoulded after 1-day curing at the standard curing chamber with a temperature of 20 ± 2°C and 95% relative humidity. After 7 days curing, the concrete slab was cut into standard cube specimens with dimensions 100 mm × 100 mm × 100 mm. Finally, specimens were cured at standard condition to 28 days. The uniaxial compressive strength and splitting tensile strength of specimens were measured using the electric universal test machine. Figure4 shows the experimental procedure including shotcrete test (a), measurement of build-up thickness (b), compressive test (d), and splitting test (e). All tests followed the Professional Standards of China (DL/T 5181-2003: construction specifications for anchor and shotcrete support of hydropower and water conservancy engineering).Figure 4
Measurement of build-up thickness and tests of mechanism properties of wet-mix shotcrete.


## 3. Results and Discussion

### 3.1. Results of Orthogonal Test

The feasible levels of PET fiber parameters (length, width, and content) were studied by the orthogonal test for the minimization of pressure drop and for the maximization of build-up thickness, compressive strength, and splitting strength. Table5 lists the ranges of measured properties of wet-mix shotcrete, slump of 9–18 cm, pressure drop of 25–40 kPa/m, build-up thickness of 13.3–17.6 cm, compressive strength of 36.2–47.6 MPa, and splitting strength of 3.8–4.9 MPa. Those test data of wet-mix shotcrete properties were studied by the analysis of variance (ANOVA) at a 0.05 level of significance. The interactive effects of the fiber parameters were neglected.Table 5
Results of orthogonal tests for wet-mix shotcrete reinforced by PET fibers.
No.
Width (mm)
Length (mm)
Content (kg/m3)
Slump (cm)
Pressure drop (kPa/m)
Build-up thickness (cm)
Compressive strength (MPa)
Splitting strength (MPa)
1
1
10
5
16
25
13.8
47.6
3.8
2
2
20
7
12
30
15.8
44.3
4.3
3
3
30
9
13
38
17.2
36.2
4.6
4
1
20
9
9
30
16.0
45.1
4.7
5
2
30
5
10
27
17.6
46.2
4.9
6
3
10
7
18
40
14.7
39.6
3.9
7
1
30
7
11
28
16.0
46.3
4.8
8
2
10
9
14
33
15.5
42.7
4.4
9
3
20
5
15
35
13.3
38.1
4.0Figures5–11 show the main effect graphs of slump, pressure drop, build-up thickness, splitting strength, and compressive strength. The variations in PET fiber parameters were treated as independent variables, whereas the rheological properties (slump), pumpability (pressure drop), shootability (build-up thickness), and mechanical properties (compressive and splitting strengths) of wet-mix shotcrete were regarded as dependent variables in Table 5. The analysis data of ANOVA such as the contribution percentage of factors, DEVSQ, and statistically significant factors are listed in Table 6. Note that the contribution percentage of various factors represented the degree of influence of the corresponding factors on the measured properties of wet-mix shotcrete. The higher contribution percentage meant the more contribution of the factor on the measured response. According to the orthogonal analysis, the advised PET fiber parameters for target properties of wet-mix shotcrete are shown in Table 7.Figure 5
Main effect plot for slump.Figure 6
Main effect plot for pressure drop.Figure 7
Changes of the flow forms of fresh concrete in pipes after mixing PET fibers.Figure 8
Main effect plot for build-up thickness.Figure 9
Main effect plot for compressive strength.Figure 10
Schematic of the effect of PET fiber width on aggregate bonding.Figure 11
Main effect plot for splitting strength.Table 6
Analysis of variance results of wet-mix shotcrete (degree of freedom: 2).
Variable
Parameters
DEVSQ
F ratio
F critical value
Statistical significance
Contribution (%)
Slump
Width
22.22
7.69
19
—
33.67
Length
38.22
13.23
19
—
57.91
Content
5.55
1.92
19
—
8.42
Error
2.89
—
—
—
—
Pressure drop
Width
164.22
56.84
19
Yes
80.24
Length
4.22
1.46
19
—
2.06
Content
36.22
12.53
19
—
17.70
Error
2.89
Build-up thickness
Width
2.62
1.27
19
—
18.53
Length
8.88
4.32
19
—
62.60
Content
2.67
1.30
19
—
18.87
Error
2.06
—
—
—
Compressive strength
Width
115.12
44.50
19
Yes
90.21
Length
0.96
0.37
19
—
0.75
Content
11.52
4.45
19
—
9.03
Error
2.59
—
—
—
Splitting strength
Width
0.21
1.98
19
—
17.88
Length
0.81
7.48
19
—
67.54
Content
0.17
1.61
19
—
14.57
Error
0.11
—
—
—
—Table 7
Optimal parameters of PET fiber for wet-mix shotcrete.
Variable
Width (mm)
Length (mm)
Content (kg/m3)
Slump
3
10
5
Pressure drop
1
30
5
Build-up thickness
2
30
9
Compressive strength
1
10
5
Splitting strength
2
30
5
Optimal parameters of PET fiber
1
20
5


### 3.2. Discussion

Slump was a traditional rheological parameter that could estimate the flowability of wet-mix shotcrete. The higher slump value implied the bigger flowability of fresh concrete; that was to say, the pumpability of fresh concrete with larger slump was good when fresh concrete flowed in pipes. Conversely, the large flowability was not beneficial for the build-up thickness, which implied the bad shootability of fresh concrete. Therefore, the appropriate slump value was important for wet-mix shotcrete to guarantee the accepted pumpability and shootability simultaneously.Figure5 indicates that the slump increased with increasing fiber width; the PET fiber with 3 mm width significantly improved the fluidity of fresh concrete. Slump value showed a tendency to decrease with the increase of the fiber length or fiber content, these results were similar to the reports in [58, 60]. Table 6 lists the analysis of variance results; PET fiber length was the most influencing factor on slump with 57.91% contribution. The least influencing factor was PET fiber content with 8.42% contribution. Combined with the data in the Table 5 where the No. 6 concrete sample shows the highest slump, whereas the No. 4 sample gives the lowest slump value, it was found that the slim PET fiber tended to agglomerate concrete aggregates, reducing its fluidity; on the contrary, the PET fibers with large width and short length exhibited a similar effect to the circular aggregate, which increased the slump due to the smooth surface. When considering the pumping and shooting performance of fresh concrete comprehensively, slump was recommended at a middle value; hence the parameters of PET fiber used for wet-mix shotcrete was 1 mm (or 2 mm) width, 20 mm length, and 7 kg/m3 content.Pressure drop was the most intuitive parameter to indicate the pumpability of fresh concrete. Small pressure drop meant less flow resistance (i.e., better pumpability) when fresh concrete flowed in pipes [13, 64]. According to Figure 6, pressure drop increased with increasing fiber width or with increasing fiber content but decreased with the increase of PET fiber length. With 80.24% contribution, PET fiber width was the most effective parameter on the pressure drop. The second most influencing factor was PET fiber content with 17.7% contribution. The length of PET fiber produced the least influence on pressure drop.The lowest and highest pressure drops were measured in No. 1 and No. 6 concrete sample, respectively. According to analysis, the thin and long fibers tended to agglomerate the concrete, thus avoiding the segregation and bleeding of fresh concrete under the pumping action. In addition, the concrete plunger in the conveying pipes became very stable. With the help of the slip layer near the inner pipe wall, the agglomerated concrete with slim PET fibers was transported in the form of slip rather than shear in the pipe, as shown in Figure7. The optimal PET fiber parameters for minimization of pressure drop were 1 mm width, 30 mm length, and 5 kg/m3 content.Figure8 shows that when the length and content of PET fibers increased, the build-up thickness increased. This result was convenient to the literature studies [1, 12, 65, 66]. According to analysis, on the one hand, the addition of PET fibers enhanced the yield stress of the concrete sprayed on the wall and the high yield stress could reduce the collapse of concrete [60, 67]. On the other hand, due to the knifing effect of fibers, concrete aggregates were tightly reunited together. With increasing fiber length and content, two effects were strengthened, and thus, build-up thickness was increased. The build-up thickness firstly increased and then declined with increase in the fiber width. An excessively wide fiber did not increase the consistency of the sprayed concrete. In addition to the influence of smooth surface of wide fibers, the agglomeration effect of wide fibers on concrete was weakened. PET fiber length was the most effective factor on the build-up thickness with 62.6% contribution. The width and content of PET fibers had the similar contribution on the build-up thickness with 18.57% and 18.87%, respectively. The optimal parameters of PET fibers used for the maximum build-up thickness of wet-mix shotcere were 2 mm width, 30 mm length, and 9 kg/m3 content.Figure9 indicates that increasing the width and content of PET fiber reduced the compressive strength of wet-mix shotcrete. The negative effect of PET fibers on compressive strength was similar to other types of fibers such as polypropylene fiber [12] and steel fiber [68]. Irwan et al. [35]and Kim et al. [36] even reported the same results that PET fiber did not significantly increase the compressive strength of concrete but the strength range of concrete mixed with PET fibers was accepted in the special application of engineering. The length of PET fiber from 10 mm–30 mm did not produce big impact on compressive strength. The most influencing factor on compressive strength was PET fiber width with 90.21% contribution; PET fiber content was the second most influencing factor with 9.03% contribution. According to the analysis in Figure 10, the wide fiber with smooth surface promoted the slip effect between aggregates when concretes were compressed; this phenomenon reduced the compressive strength of hardened concretes, whereas the narrow fiber with 1 mm width produced less or no slip due to its less contacting area with aggregates. The optimal PET fiber parameters for maximization of compressive strength of wet-mix shotcrete were 1 mm width, 10 mm length, and 5 kg/m3 content.Figure11 shows that the splitting strength of wet-mix shotcrete increased with increase in the length and content of PET fiber. The main function of fibers was to prevent the crack of concrete because fibers worked as a bridge on both sides of a crack. Fibers increased the ductility and reduced the crack risk in shotcrete structures. The positive effect of fiber on splitting strength was reported [10, 68, 69]. The uniform distribution of fibers in concrete was a prerequisite for ensuring high strength of concrete. A uniform and effective fiber distribution would be achieved when fiber length was less than the coarse aggregate size. However, in order to improve the mechanical properties of concrete, Han et al. [70] suggested that the length of fiber should exceed 1.3 times coarse aggregate size. Olivito and Zuccarello [71] indicated that the size of coarse aggregate should not exceed 0.5 times fiber length. Increasing PET fiber width from 1 mm to 2 mm increased the splitting tensile strength of wet-mix shotcrete. But if the width of fiber was continuously increased to 3 mm, the splitting strength would be reduced obviously. Generally, the wide fiber had a large contact area with the concrete matrix, which would enhance the friction function and further increase the splitting strength. However, the surface of wide PET fiber was very smooth, resulting in the weak adhesion between PET fibers and concrete matrix. Therefore, the increased contact area of wide PET fiber did not improve the splitting strength.The most influencing factor on the splitting tensile strength was fiber length with 67.54% contribution; the width of PET fiber was the second most influencing factor with 17.88% contribution. The contribution rank of the variables on the slump, pressure drop, thickness, compressive strength, and splitting strength is listed in Table6. The optimal PET fiber parameters for maximization of splitting tensile strength of wet-mix shotcrete were 2 mm width, 30 mm length, and 9 kg/m3 content.According to the data in Table6, in terms of statistical significance, the significant factor that appeared frequently was PET fiber width, especially for pressure drop and compressive strength. Consequently, fiber width was the first factor to consider for selecting the optimal fiber parameters. Combined with the selected parameters of PET fiber for various shotcrete properties in Table 7, the final PET fiber parameters were determined, which were 1 mm width, 20 mm length, and 5 kg/m3 content, to improve the build-up thickness, compressive strength, and splitting strength and reduce the pressure drop.In order to verify the practicality of the optimal PET fiber parameters, another experimental study was conducted to check whether the PET fiber parameters obtained could improve the properties of wet-mix shotcrete. The verification results showed that the proposed optimum PET fiber parameters satisfied the expected requirement: minimization for pressure drop with 24 kPa/m and relatively other better performances such as 17 cm build-up thickness, 43 MPa compressive strength, and 4.5 MPa splitting strength. In this paper, the influence of fire on the properties of shotcrete was not considered because the influence of fire on PET fiber is unfavorable. Therefore, PET fiber-reinforced shotcrete is suitable for those building structures far away from fire areas or underground roadways with short service time and relatively low strength requirements.


### 3.3. Correlation Analysis

In this study, we assumed that the pressure drop represented the pumpability and the build-up thickness represented the shootability of wet-mix shotcrete reinforced by PET fibers. The effects of slump on pumpability and shootability, as well as the relationships between pumpability, shootability, and mechanical properties of wet-mix shotcrete, were explored, as shown in Figures12–18. It should be pointed out that all fitting curves and fitting formulas in Figures 12–18 were only used as the trend indicators because most of the data points were too discrete and the corresponding fitting variances were too small to predict the corresponding properties of wet-mix shotcrete precisely.Figure 12
Correlation between slump and pumpability (a) and shootability (b).
(a)
(b)Figure 13
Correlation between pumpability and compressive strength (a) and splitting strength (b).
(a)
(b)Figure 14
Aggregate distribution of fresh concrete flowing in pipes.Figure 15
Correlation between shootability and compressive strength (a) and splitting strength (b).
(a)
(b)Figure 16
Cutting lines of thin and thick shotcrete layers for standard concrete specimens.Figure 17
Correlation between pumpability and shootability.Figure 18
Correlation between compressive and splitting strengths.


#### 3.3.1. Relationship between Slump and Pumpability and Shootability

Figure12 shows the change laws of pressure drop and build-up thickness with increasing slump value. Although the data points were very discrete (the fitting variance is 0.2159 and 0.4787, respectively, much less than 1), the overall trend could be observed. Pumpability of fresh shotcrete mixed with fibers showed an upward trend with increasing slump. Generally, the fresh concrete with large slump was easy to flow in pipes with less resistance [64, 72, 73]. The addition of PET fibers was the main reason why low slump concrete flowed with less resistance. As described above in Section 3.2, PET fibers agglomerated the concrete materials and thus promoted fresh concrete to form a plug flow. Fresh concrete with plug flow was easier to transport in pipes based on the formation of the sufficient lubrication layer. Shootability of wet-mix shotcrete declined with the increase of slump. According to previous research progress [12, 54, 72, 74, 75], these results are predictable because large slump concrete had high fluidity that was easy to collapse on the wall surface sprayed, which was not conducive to the formation of spraying layer.


#### 3.3.2. Relationship between Pumpability and Mechanical Properties

Figure13 indicates that the change trend of compressive strength and splitting strength with increasing pressure drop. Overall, the data points were relatively discrete especially for the relationship between pressure drop and splitting strength; Both compressive and splitting strengths of wet-mix shotcrete showed a downward trend. The downtrend of compressive strength was more obvious than that of splitting strength; the corresponding fitting effect was best among all fitting functions (Figures 12–18); fitting variance was 0.8482. Under normal circumstances, it was difficult to relate the pumpability of concrete to mechanical properties. According to analysis, a larger pressure drop meant that the pumping pressure was stronger. Alternate pumping pressure impacted the fresh concrete in pipes, resulting in the uneven distribution of coarse and fine aggregates inside the concrete plug. As shown in Figure 14, under the action of shear-induced particle migration, coarse aggregates flowed in the center of pipes, whereas fine aggregates flowed near the pipe wall [76]. Further, the uneven concrete was sprayed on the receiving surface, leading to the unevenness of aggregate deposits. This phenomenon might cause the loss of concrete strength after hardening. Hence, we could imagine that larger pump pressure caused more loss of compressive and splitting strength. In addition to this, the effects of admixture should be considered. For example, an appropriate amount of fibers could reduce pumping pressure [13], but fiber might not significantly increase the strength of the concrete [35, 36].


#### 3.3.3. Relationship between Shootability and Mechanical Properties

It can be seen from Figure15(a) that the build-up thickness had less effect on compressive strength while it had relatively obvious effect on splitting strength. The splitting strength increased with the increase of build-up thickness, along with the better linear fitting variance of 0.7559. In order to explore the possible reason why build-up thickness affected the mechanical properties, the aggregate distribution on the cutting surface of hardened concrete slab was analyzed along the spraying direction. As shown in Figure 16, the distribution of coarse aggregates from the receiving wall to shotcrete surface (x) was not uniform. Due to the large initial rebound ratio, the closer the wall, the smaller the amount of coarse aggregate. Hence, in terms of the shotcrete with thin layer (x1), in order to form a standard concrete specimen with 100 mm × 100 mm × 100 mm, the cutting line on the concrete slab had to pass through the region (Δx) that lacked coarse aggregates. For the shotcrete with thick sprayed layer (x2), the cutting position of concrete slab was relatively reasonable where coarse aggregate distribution was uniform. It was assumed that the coarse aggregate distribution that related the build-up thickness affected the mechanical properties of shotcrete.


#### 3.3.4. Other Relationships

According to Figures17 and 18, it was hard to find the obvious relationship between pressure drop and build-up thickness, as well as the relationship between compressive and splitting strengths. However, in the reports [13, 77], the compressive strength of concrete without mixing fibers was proportional to the splitting strength. According to analysis, in these tests, the effect of mixed PET fibers on compressive strength was not significant but on splitting strength was significant, especially for the changes of length and content of PET fiber. As shown in Figures 9 and 11, with increasing length or content of PET fiber, the change of compressive strength is small while the splitting strength is increased largely. Hence, mixing PET fibers disturbed the linear relationship between compressive strength and splitting strength of concrete. In the next study, those relationships would be further explored with a lot of specimens, and at the same time, the PET fiber parameters should be considered. This research can provide a theoretical basis for shotcrete in mine. High quality wet-mix shotcrete with PET fiber can effectively reduce mine disasters, such as dust and roof accidents [78–95].


## 3.1. Results of Orthogonal Test

The feasible levels of PET fiber parameters (length, width, and content) were studied by the orthogonal test for the minimization of pressure drop and for the maximization of build-up thickness, compressive strength, and splitting strength. Table5 lists the ranges of measured properties of wet-mix shotcrete, slump of 9–18 cm, pressure drop of 25–40 kPa/m, build-up thickness of 13.3–17.6 cm, compressive strength of 36.2–47.6 MPa, and splitting strength of 3.8–4.9 MPa. Those test data of wet-mix shotcrete properties were studied by the analysis of variance (ANOVA) at a 0.05 level of significance. The interactive effects of the fiber parameters were neglected.Table 5
Results of orthogonal tests for wet-mix shotcrete reinforced by PET fibers.
No.
Width (mm)
Length (mm)
Content (kg/m3)
Slump (cm)
Pressure drop (kPa/m)
Build-up thickness (cm)
Compressive strength (MPa)
Splitting strength (MPa)
1
1
10
5
16
25
13.8
47.6
3.8
2
2
20
7
12
30
15.8
44.3
4.3
3
3
30
9
13
38
17.2
36.2
4.6
4
1
20
9
9
30
16.0
45.1
4.7
5
2
30
5
10
27
17.6
46.2
4.9
6
3
10
7
18
40
14.7
39.6
3.9
7
1
30
7
11
28
16.0
46.3
4.8
8
2
10
9
14
33
15.5
42.7
4.4
9
3
20
5
15
35
13.3
38.1
4.0Figures5–11 show the main effect graphs of slump, pressure drop, build-up thickness, splitting strength, and compressive strength. The variations in PET fiber parameters were treated as independent variables, whereas the rheological properties (slump), pumpability (pressure drop), shootability (build-up thickness), and mechanical properties (compressive and splitting strengths) of wet-mix shotcrete were regarded as dependent variables in Table 5. The analysis data of ANOVA such as the contribution percentage of factors, DEVSQ, and statistically significant factors are listed in Table 6. Note that the contribution percentage of various factors represented the degree of influence of the corresponding factors on the measured properties of wet-mix shotcrete. The higher contribution percentage meant the more contribution of the factor on the measured response. According to the orthogonal analysis, the advised PET fiber parameters for target properties of wet-mix shotcrete are shown in Table 7.Figure 5
Main effect plot for slump.Figure 6
Main effect plot for pressure drop.Figure 7
Changes of the flow forms of fresh concrete in pipes after mixing PET fibers.Figure 8
Main effect plot for build-up thickness.Figure 9
Main effect plot for compressive strength.Figure 10
Schematic of the effect of PET fiber width on aggregate bonding.Figure 11
Main effect plot for splitting strength.Table 6
Analysis of variance results of wet-mix shotcrete (degree of freedom: 2).
Variable
Parameters
DEVSQ
F ratio
F critical value
Statistical significance
Contribution (%)
Slump
Width
22.22
7.69
19
—
33.67
Length
38.22
13.23
19
—
57.91
Content
5.55
1.92
19
—
8.42
Error
2.89
—
—
—
—
Pressure drop
Width
164.22
56.84
19
Yes
80.24
Length
4.22
1.46
19
—
2.06
Content
36.22
12.53
19
—
17.70
Error
2.89
Build-up thickness
Width
2.62
1.27
19
—
18.53
Length
8.88
4.32
19
—
62.60
Content
2.67
1.30
19
—
18.87
Error
2.06
—
—
—
Compressive strength
Width
115.12
44.50
19
Yes
90.21
Length
0.96
0.37
19
—
0.75
Content
11.52
4.45
19
—
9.03
Error
2.59
—
—
—
Splitting strength
Width
0.21
1.98
19
—
17.88
Length
0.81
7.48
19
—
67.54
Content
0.17
1.61
19
—
14.57
Error
0.11
—
—
—
—Table 7
Optimal parameters of PET fiber for wet-mix shotcrete.
Variable
Width (mm)
Length (mm)
Content (kg/m3)
Slump
3
10
5
Pressure drop
1
30
5
Build-up thickness
2
30
9
Compressive strength
1
10
5
Splitting strength
2
30
5
Optimal parameters of PET fiber
1
20
5


## 3.2. Discussion

Slump was a traditional rheological parameter that could estimate the flowability of wet-mix shotcrete. The higher slump value implied the bigger flowability of fresh concrete; that was to say, the pumpability of fresh concrete with larger slump was good when fresh concrete flowed in pipes. Conversely, the large flowability was not beneficial for the build-up thickness, which implied the bad shootability of fresh concrete. Therefore, the appropriate slump value was important for wet-mix shotcrete to guarantee the accepted pumpability and shootability simultaneously.Figure5 indicates that the slump increased with increasing fiber width; the PET fiber with 3 mm width significantly improved the fluidity of fresh concrete. Slump value showed a tendency to decrease with the increase of the fiber length or fiber content, these results were similar to the reports in [58, 60]. Table 6 lists the analysis of variance results; PET fiber length was the most influencing factor on slump with 57.91% contribution. The least influencing factor was PET fiber content with 8.42% contribution. Combined with the data in the Table 5 where the No. 6 concrete sample shows the highest slump, whereas the No. 4 sample gives the lowest slump value, it was found that the slim PET fiber tended to agglomerate concrete aggregates, reducing its fluidity; on the contrary, the PET fibers with large width and short length exhibited a similar effect to the circular aggregate, which increased the slump due to the smooth surface. When considering the pumping and shooting performance of fresh concrete comprehensively, slump was recommended at a middle value; hence the parameters of PET fiber used for wet-mix shotcrete was 1 mm (or 2 mm) width, 20 mm length, and 7 kg/m3 content.Pressure drop was the most intuitive parameter to indicate the pumpability of fresh concrete. Small pressure drop meant less flow resistance (i.e., better pumpability) when fresh concrete flowed in pipes [13, 64]. According to Figure 6, pressure drop increased with increasing fiber width or with increasing fiber content but decreased with the increase of PET fiber length. With 80.24% contribution, PET fiber width was the most effective parameter on the pressure drop. The second most influencing factor was PET fiber content with 17.7% contribution. The length of PET fiber produced the least influence on pressure drop.The lowest and highest pressure drops were measured in No. 1 and No. 6 concrete sample, respectively. According to analysis, the thin and long fibers tended to agglomerate the concrete, thus avoiding the segregation and bleeding of fresh concrete under the pumping action. In addition, the concrete plunger in the conveying pipes became very stable. With the help of the slip layer near the inner pipe wall, the agglomerated concrete with slim PET fibers was transported in the form of slip rather than shear in the pipe, as shown in Figure7. The optimal PET fiber parameters for minimization of pressure drop were 1 mm width, 30 mm length, and 5 kg/m3 content.Figure8 shows that when the length and content of PET fibers increased, the build-up thickness increased. This result was convenient to the literature studies [1, 12, 65, 66]. According to analysis, on the one hand, the addition of PET fibers enhanced the yield stress of the concrete sprayed on the wall and the high yield stress could reduce the collapse of concrete [60, 67]. On the other hand, due to the knifing effect of fibers, concrete aggregates were tightly reunited together. With increasing fiber length and content, two effects were strengthened, and thus, build-up thickness was increased. The build-up thickness firstly increased and then declined with increase in the fiber width. An excessively wide fiber did not increase the consistency of the sprayed concrete. In addition to the influence of smooth surface of wide fibers, the agglomeration effect of wide fibers on concrete was weakened. PET fiber length was the most effective factor on the build-up thickness with 62.6% contribution. The width and content of PET fibers had the similar contribution on the build-up thickness with 18.57% and 18.87%, respectively. The optimal parameters of PET fibers used for the maximum build-up thickness of wet-mix shotcere were 2 mm width, 30 mm length, and 9 kg/m3 content.Figure9 indicates that increasing the width and content of PET fiber reduced the compressive strength of wet-mix shotcrete. The negative effect of PET fibers on compressive strength was similar to other types of fibers such as polypropylene fiber [12] and steel fiber [68]. Irwan et al. [35]and Kim et al. [36] even reported the same results that PET fiber did not significantly increase the compressive strength of concrete but the strength range of concrete mixed with PET fibers was accepted in the special application of engineering. The length of PET fiber from 10 mm–30 mm did not produce big impact on compressive strength. The most influencing factor on compressive strength was PET fiber width with 90.21% contribution; PET fiber content was the second most influencing factor with 9.03% contribution. According to the analysis in Figure 10, the wide fiber with smooth surface promoted the slip effect between aggregates when concretes were compressed; this phenomenon reduced the compressive strength of hardened concretes, whereas the narrow fiber with 1 mm width produced less or no slip due to its less contacting area with aggregates. The optimal PET fiber parameters for maximization of compressive strength of wet-mix shotcrete were 1 mm width, 10 mm length, and 5 kg/m3 content.Figure11 shows that the splitting strength of wet-mix shotcrete increased with increase in the length and content of PET fiber. The main function of fibers was to prevent the crack of concrete because fibers worked as a bridge on both sides of a crack. Fibers increased the ductility and reduced the crack risk in shotcrete structures. The positive effect of fiber on splitting strength was reported [10, 68, 69]. The uniform distribution of fibers in concrete was a prerequisite for ensuring high strength of concrete. A uniform and effective fiber distribution would be achieved when fiber length was less than the coarse aggregate size. However, in order to improve the mechanical properties of concrete, Han et al. [70] suggested that the length of fiber should exceed 1.3 times coarse aggregate size. Olivito and Zuccarello [71] indicated that the size of coarse aggregate should not exceed 0.5 times fiber length. Increasing PET fiber width from 1 mm to 2 mm increased the splitting tensile strength of wet-mix shotcrete. But if the width of fiber was continuously increased to 3 mm, the splitting strength would be reduced obviously. Generally, the wide fiber had a large contact area with the concrete matrix, which would enhance the friction function and further increase the splitting strength. However, the surface of wide PET fiber was very smooth, resulting in the weak adhesion between PET fibers and concrete matrix. Therefore, the increased contact area of wide PET fiber did not improve the splitting strength.The most influencing factor on the splitting tensile strength was fiber length with 67.54% contribution; the width of PET fiber was the second most influencing factor with 17.88% contribution. The contribution rank of the variables on the slump, pressure drop, thickness, compressive strength, and splitting strength is listed in Table6. The optimal PET fiber parameters for maximization of splitting tensile strength of wet-mix shotcrete were 2 mm width, 30 mm length, and 9 kg/m3 content.According to the data in Table6, in terms of statistical significance, the significant factor that appeared frequently was PET fiber width, especially for pressure drop and compressive strength. Consequently, fiber width was the first factor to consider for selecting the optimal fiber parameters. Combined with the selected parameters of PET fiber for various shotcrete properties in Table 7, the final PET fiber parameters were determined, which were 1 mm width, 20 mm length, and 5 kg/m3 content, to improve the build-up thickness, compressive strength, and splitting strength and reduce the pressure drop.In order to verify the practicality of the optimal PET fiber parameters, another experimental study was conducted to check whether the PET fiber parameters obtained could improve the properties of wet-mix shotcrete. The verification results showed that the proposed optimum PET fiber parameters satisfied the expected requirement: minimization for pressure drop with 24 kPa/m and relatively other better performances such as 17 cm build-up thickness, 43 MPa compressive strength, and 4.5 MPa splitting strength. In this paper, the influence of fire on the properties of shotcrete was not considered because the influence of fire on PET fiber is unfavorable. Therefore, PET fiber-reinforced shotcrete is suitable for those building structures far away from fire areas or underground roadways with short service time and relatively low strength requirements.


## 3.3. Correlation Analysis

In this study, we assumed that the pressure drop represented the pumpability and the build-up thickness represented the shootability of wet-mix shotcrete reinforced by PET fibers. The effects of slump on pumpability and shootability, as well as the relationships between pumpability, shootability, and mechanical properties of wet-mix shotcrete, were explored, as shown in Figures12–18. It should be pointed out that all fitting curves and fitting formulas in Figures 12–18 were only used as the trend indicators because most of the data points were too discrete and the corresponding fitting variances were too small to predict the corresponding properties of wet-mix shotcrete precisely.Figure 12
Correlation between slump and pumpability (a) and shootability (b).
(a)
(b)Figure 13
Correlation between pumpability and compressive strength (a) and splitting strength (b).
(a)
(b)Figure 14
Aggregate distribution of fresh concrete flowing in pipes.Figure 15
Correlation between shootability and compressive strength (a) and splitting strength (b).
(a)
(b)Figure 16
Cutting lines of thin and thick shotcrete layers for standard concrete specimens.Figure 17
Correlation between pumpability and shootability.Figure 18
Correlation between compressive and splitting strengths.


### 3.3.1. Relationship between Slump and Pumpability and Shootability

Figure12 shows the change laws of pressure drop and build-up thickness with increasing slump value. Although the data points were very discrete (the fitting variance is 0.2159 and 0.4787, respectively, much less than 1), the overall trend could be observed. Pumpability of fresh shotcrete mixed with fibers showed an upward trend with increasing slump. Generally, the fresh concrete with large slump was easy to flow in pipes with less resistance [64, 72, 73]. The addition of PET fibers was the main reason why low slump concrete flowed with less resistance. As described above in Section 3.2, PET fibers agglomerated the concrete materials and thus promoted fresh concrete to form a plug flow. Fresh concrete with plug flow was easier to transport in pipes based on the formation of the sufficient lubrication layer. Shootability of wet-mix shotcrete declined with the increase of slump. According to previous research progress [12, 54, 72, 74, 75], these results are predictable because large slump concrete had high fluidity that was easy to collapse on the wall surface sprayed, which was not conducive to the formation of spraying layer.


### 3.3.2. Relationship between Pumpability and Mechanical Properties

Figure13 indicates that the change trend of compressive strength and splitting strength with increasing pressure drop. Overall, the data points were relatively discrete especially for the relationship between pressure drop and splitting strength; Both compressive and splitting strengths of wet-mix shotcrete showed a downward trend. The downtrend of compressive strength was more obvious than that of splitting strength; the corresponding fitting effect was best among all fitting functions (Figures 12–18); fitting variance was 0.8482. Under normal circumstances, it was difficult to relate the pumpability of concrete to mechanical properties. According to analysis, a larger pressure drop meant that the pumping pressure was stronger. Alternate pumping pressure impacted the fresh concrete in pipes, resulting in the uneven distribution of coarse and fine aggregates inside the concrete plug. As shown in Figure 14, under the action of shear-induced particle migration, coarse aggregates flowed in the center of pipes, whereas fine aggregates flowed near the pipe wall [76]. Further, the uneven concrete was sprayed on the receiving surface, leading to the unevenness of aggregate deposits. This phenomenon might cause the loss of concrete strength after hardening. Hence, we could imagine that larger pump pressure caused more loss of compressive and splitting strength. In addition to this, the effects of admixture should be considered. For example, an appropriate amount of fibers could reduce pumping pressure [13], but fiber might not significantly increase the strength of the concrete [35, 36].


### 3.3.3. Relationship between Shootability and Mechanical Properties

It can be seen from Figure15(a) that the build-up thickness had less effect on compressive strength while it had relatively obvious effect on splitting strength. The splitting strength increased with the increase of build-up thickness, along with the better linear fitting variance of 0.7559. In order to explore the possible reason why build-up thickness affected the mechanical properties, the aggregate distribution on the cutting surface of hardened concrete slab was analyzed along the spraying direction. As shown in Figure 16, the distribution of coarse aggregates from the receiving wall to shotcrete surface (x) was not uniform. Due to the large initial rebound ratio, the closer the wall, the smaller the amount of coarse aggregate. Hence, in terms of the shotcrete with thin layer (x1), in order to form a standard concrete specimen with 100 mm × 100 mm × 100 mm, the cutting line on the concrete slab had to pass through the region (Δx) that lacked coarse aggregates. For the shotcrete with thick sprayed layer (x2), the cutting position of concrete slab was relatively reasonable where coarse aggregate distribution was uniform. It was assumed that the coarse aggregate distribution that related the build-up thickness affected the mechanical properties of shotcrete.


### 3.3.4. Other Relationships

According to Figures17 and 18, it was hard to find the obvious relationship between pressure drop and build-up thickness, as well as the relationship between compressive and splitting strengths. However, in the reports [13, 77], the compressive strength of concrete without mixing fibers was proportional to the splitting strength. According to analysis, in these tests, the effect of mixed PET fibers on compressive strength was not significant but on splitting strength was significant, especially for the changes of length and content of PET fiber. As shown in Figures 9 and 11, with increasing length or content of PET fiber, the change of compressive strength is small while the splitting strength is increased largely. Hence, mixing PET fibers disturbed the linear relationship between compressive strength and splitting strength of concrete. In the next study, those relationships would be further explored with a lot of specimens, and at the same time, the PET fiber parameters should be considered. This research can provide a theoretical basis for shotcrete in mine. High quality wet-mix shotcrete with PET fiber can effectively reduce mine disasters, such as dust and roof accidents [78–95].


## 3.3.1. Relationship between Slump and Pumpability and Shootability

Figure12 shows the change laws of pressure drop and build-up thickness with increasing slump value. Although the data points were very discrete (the fitting variance is 0.2159 and 0.4787, respectively, much less than 1), the overall trend could be observed. Pumpability of fresh shotcrete mixed with fibers showed an upward trend with increasing slump. Generally, the fresh concrete with large slump was easy to flow in pipes with less resistance [64, 72, 73]. The addition of PET fibers was the main reason why low slump concrete flowed with less resistance. As described above in Section 3.2, PET fibers agglomerated the concrete materials and thus promoted fresh concrete to form a plug flow. Fresh concrete with plug flow was easier to transport in pipes based on the formation of the sufficient lubrication layer. Shootability of wet-mix shotcrete declined with the increase of slump. According to previous research progress [12, 54, 72, 74, 75], these results are predictable because large slump concrete had high fluidity that was easy to collapse on the wall surface sprayed, which was not conducive to the formation of spraying layer.


## 3.3.2. Relationship between Pumpability and Mechanical Properties

Figure13 indicates that the change trend of compressive strength and splitting strength with increasing pressure drop. Overall, the data points were relatively discrete especially for the relationship between pressure drop and splitting strength; Both compressive and splitting strengths of wet-mix shotcrete showed a downward trend. The downtrend of compressive strength was more obvious than that of splitting strength; the corresponding fitting effect was best among all fitting functions (Figures 12–18); fitting variance was 0.8482. Under normal circumstances, it was difficult to relate the pumpability of concrete to mechanical properties. According to analysis, a larger pressure drop meant that the pumping pressure was stronger. Alternate pumping pressure impacted the fresh concrete in pipes, resulting in the uneven distribution of coarse and fine aggregates inside the concrete plug. As shown in Figure 14, under the action of shear-induced particle migration, coarse aggregates flowed in the center of pipes, whereas fine aggregates flowed near the pipe wall [76]. Further, the uneven concrete was sprayed on the receiving surface, leading to the unevenness of aggregate deposits. This phenomenon might cause the loss of concrete strength after hardening. Hence, we could imagine that larger pump pressure caused more loss of compressive and splitting strength. In addition to this, the effects of admixture should be considered. For example, an appropriate amount of fibers could reduce pumping pressure [13], but fiber might not significantly increase the strength of the concrete [35, 36].


## 3.3.3. Relationship between Shootability and Mechanical Properties

It can be seen from Figure15(a) that the build-up thickness had less effect on compressive strength while it had relatively obvious effect on splitting strength. The splitting strength increased with the increase of build-up thickness, along with the better linear fitting variance of 0.7559. In order to explore the possible reason why build-up thickness affected the mechanical properties, the aggregate distribution on the cutting surface of hardened concrete slab was analyzed along the spraying direction. As shown in Figure 16, the distribution of coarse aggregates from the receiving wall to shotcrete surface (x) was not uniform. Due to the large initial rebound ratio, the closer the wall, the smaller the amount of coarse aggregate. Hence, in terms of the shotcrete with thin layer (x1), in order to form a standard concrete specimen with 100 mm × 100 mm × 100 mm, the cutting line on the concrete slab had to pass through the region (Δx) that lacked coarse aggregates. For the shotcrete with thick sprayed layer (x2), the cutting position of concrete slab was relatively reasonable where coarse aggregate distribution was uniform. It was assumed that the coarse aggregate distribution that related the build-up thickness affected the mechanical properties of shotcrete.


## 3.3.4. Other Relationships

According to Figures17 and 18, it was hard to find the obvious relationship between pressure drop and build-up thickness, as well as the relationship between compressive and splitting strengths. However, in the reports [13, 77], the compressive strength of concrete without mixing fibers was proportional to the splitting strength. According to analysis, in these tests, the effect of mixed PET fibers on compressive strength was not significant but on splitting strength was significant, especially for the changes of length and content of PET fiber. As shown in Figures 9 and 11, with increasing length or content of PET fiber, the change of compressive strength is small while the splitting strength is increased largely. Hence, mixing PET fibers disturbed the linear relationship between compressive strength and splitting strength of concrete. In the next study, those relationships would be further explored with a lot of specimens, and at the same time, the PET fiber parameters should be considered. This research can provide a theoretical basis for shotcrete in mine. High quality wet-mix shotcrete with PET fiber can effectively reduce mine disasters, such as dust and roof accidents [78–95].


## 4. Conclusions

In order to investigate the effects of PET fiber parameters on the pumpability, shootability, and mechanical properties of wet-mix shotcrete, the orthogonal test was conducted. The change trends of shotcrete properties with increasing PET fiber length, width, and content were revealed. In addition, relationships between slump, pumpability, shootability, and mechanical properties were explored. The final PET fiber parameters used for wet-mix shotcrete were determined (i.e., 1 mm width, 20 mm length, and 5 kg/m3 content). The main conclusions are as follows:(1)
Increasing PET fiber width increased the slump and pressure drop but reduced the compressive strength; increasing PET fiber length reduced the slump and pressure drop but increased the build-up thickness; increasing PET fiber content reduced the slump but increased the pressure drop, build-up thickness, and splitting strength.(2)
The slim PET fiber tended to agglomerate concrete aggregates, reducing the slump and pressure drop but increasing the build-up thickness. The wide PET fiber with smooth surface promoted the slip effect between aggregates, resulting in the weak adhesion between PET fibers and concrete matrix. The increased contact area of wide PET fiber did not improve the mechanical strength.(3)
According to the contribution percentage of ANOVA analysis, PET fiber length was the most influencing factor on slump, build-up thickness, and splitting strength with 57.91%, 62.6%, and 67.54% contribution, respectively. PET fiber width was the most effective parameter on the pressure drop and compressive strength with 80.24% and 90.21% contribution, respectively. The significant factor that appeared frequently was PET fiber width, especially for pressure drop and compressive strength.(4)
According to the correlation analysis, the compressive and splitting strength showed a downward trend with the increase of pressure drop. The corresponding fitting effect between pressure and compressive strength was best among all fitting functions with variance 0.8482. The build-up thickness had less effect on compressive strength while it had relatively obvious effect on splitting strength.



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*Source: 2756489-2019-11-28.xml*