# Mechanical Properties of Steel Fiber-Reinforced Magnesium Phosphate Cement Mortar

Authors: Hu Feng; Gang Chen; Danying Gao; Kunpeng Zhao; Chong Zhang
Journal: Advances in Civil Engineering
 (2018)

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## Abstract

A new cement-based mortar with high early strength and toughness was developed by adding micro steel fibers (MSF) in magnesium phosphate cement (MPC) mortar. The compressive and flexural tests were carried out to investigate the effect of curing time, MSF volume fraction, sand-cement mass ratio, and water-cement mass ratio on the strength and flexural toughness of MSF-reinforced MPC mortar (MSFRMM). Also, the flexural toughness and ductility of MSFRMM were evaluated according to ASTM C1609. The results of this study showed that the addition of MSF from 0% to 1.6% by volume significantly improved the compressive strength of MSFRMM. The MSFRMM showed high early strength, especially during the first 3 days. The addition of MSFs changed the flexural failure mode of MPC-based mortar from brittleness to ductility, and the flexural toughness of MSFRMM remarkably increased with the increase of MSF volume fraction from 0% to 1.6%. The toughness and ductility of MSFRMM slightly increased with the increase of the dosage of cement. The toughness and ductility of MSFRMM increased with the decrease of the water-cement mass ratio due to the improved density of the mortar caused by the reduction of water.


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## Body

## 1. Introduction

Magnesium phosphate cement (MPC) is the broad category of acid-base cement, and the most cementing ingredients are dead-burned magnesia and phosphate. MPC was first discovered and developed as dental cement in the late 19th century [1–3]. Starting in 1970s, MPC has been mainly investigated as a fast-setting repair material. Recently, MPC was used to prepare light magnesium cement-foamed materials [4] and building materials which utilize recycled materials for construction [5], also to stabilize and solidify wastes [6, 7].MPC has excellent mechanical properties in high early strength, ability to set and harden at temperatures as low as −20°C, high bond strength, small shrinkage, and good durability including chemical attack resistance, deicer scaling resistance, and permeation resistance [8, 9]. Phosphate salts, such as ammonium dihydrogen phosphate (NH4H2PO4), potassium dihydrogen phosphate (KH2PO4), and sodium dihydrogen phosphate (NaH2PO4), were usually used to prepare MPC [10, 11]. However, the main drawback of magnesium ammonium phosphate cement was that the reaction releases a large amount of ammonia which restricts it to the outdoor applications. The potassium dihydrogen phosphate (KH2PO4) was a promising replacement of ammonium dihydrogen phosphate (NH4H2PO4) because of no ammonia volatilization [12–14]. The borax as a retarder was usually used to prolong the setting time. But the excessive use of borax resulted in a decrease of compressive strength [15]. Selecting the proper addition and the optimal compound of MPC may be a more economical way to control the setting time and improve the mechanical properties at the same time. The effect of other phosphates on the properties of MPC was evaluated, that is, sodium tripolyphosphate (Na5P3O10) and sodium dihydrogen phosphate dodecahydrate (NaH2PO4·12H2O). Addition of a small amount of Na5P3O10 or NaH2PO4·12H2O significantly improved the mechanical properties of MPC, as well increased the setting time and the fluidity of the MPC paste [16, 17]. Based on this positive effect, the setting time and later the strength of MPC could also be improved by adding a certain amount of multicomposite retarder (CR) which was prepared with borax, NaH2PO4·12H2O, and calcium chloride [18].Although a significant number of studies were carried out on the development of MPC, MPC-based composite is typically brittle in nature. Moreover, due to the high volume of cementitious compounds, their brittleness could be worse than Portland cement-based matrix [19]. The most effective way of reducing the brittleness and improving the ductility is to introduce fibers in the matrix [20]. MPC can be used as binders in fiber-reinforced mortar. MPC could contribute more chemical bond strength between steel fiber and cement-based matrix than accelerated calcium aluminate cement. In addition, the bond durability after exposure to a severe environment is outstanding. The steel fibers could remarkably improve the strength of phosphate cement mortar and reduce the shrinkage and enhance the abrasiveness [21–23]. Also, the developed mechanical properties at 3 hours of curing time for MPC mortar reinforced with fibers are comparable to that at 28 days for ordinary Portland cement (OPC) mortar. The use of proper type and amount of fibers in MPC matrix could produce the mortar with elastic-plastic or strain hardening behavior in bending. Therefore, the fiber-reinforced MPC mortar is ideally suitable as fast repair material, where not only fast setting and high early strength are essential requirements but also high strain capacity and environmental durability are needed to guarantee the long life of the repair [24].While some researches only provided preliminary results on the feasibility of fiber-reinforced MPC mortar, a large number of variables are yet to be investigated, including the optimization of matrix, the type and the optimal volume fraction of fiber, and the development of durability. This paper will investigate the strength and toughness behavior of micro steel fiber-reinforced magnesium phosphate cement-based mortar (MSFRMM). The variables include the matrix proportion (the mass ratio of water to cement and the mass ratio of sand to cement), fiber volume fraction, and curing time.


## 2. Experimental Program

### 2.1. Materials

Magnesium phosphate cement (MPC) used in this study was prepared by mixing dead-burned magnesia (MgO) and monopotassium phosphate (KH2PO4) in a certain proportion. Borax (Na2B4O7·10H2O) was used as retarder to control the setting time. The dead-burned MgO (labeled M), with the particle size of 325 mesh and purity of 92.53%, was achieved by burned magnesite in 1500°C. The industrial-grade KH2PO4 (labeled P) is white crystalline powder with a purity of 98%, particle size of 80 mesh, relative density of 2.338, and melting point of 252.6°C. KH2PO4 has deliquescence acidity of its aqueous solution and is not soluble in alcohol. Industrial-grade borax (Na2B4O7·10H2O, labeled B) has a purity of 95% with a particle size of 80–100 mesh. Tap water, river sand with fineness modulus of 2.06, and micro steel fibers (MSFs) with hooked ends were also adopted in this study. The properties of MSFs provided by the manufacturer are detailed in Table 1 and Figure 1.Table 1
Properties of micro steel fibers.
Type
Length,L (mm)
Diameter,D (mm)
Aspect ratio,L/D
Tensile strength (MPa)
Number per kilogram
RS60/13-2850
13
0.22
59
2850
224862Figure 1
Micro steel fibers.


### 2.2. Test Parameters and Mixture Proportions

The mole ratio of MgO to KH2PO4 in MPC was constant at 4 (M/P=4) for all mixtures. The dosage of borax was 6.0% of MgO mass (B/M=0.06) for all mixtures. This study aims to investigate the effects of varying curing time, sand-cement mass ratios (S/C), water-cement mass ratios (W/C), and fiber volume fractions (ρf) on the mechanical properties of MPC mortar. Therefore, the mixture proportions considering the above factors are listed in Table 2. In Table 2, S/C represents the mass ratio of sand to cement (MgO and KH2PO4), W/C represents the mass ratio of water to cement (MgO and KH2PO4), B/M represents the mass ratio of borax to MgO, and ρf represents the MSF volume fraction.Table 2
Mixture proportions and test items.
ID
Mass ratio of sand to cement,S/C
Mass ratio of water to cement,W/C
MSF volume fraction,ρf (%)
Test
S/C-0.6
0.6
0.18
0.8
Strength and toughness
S/C-0.8
0.8
Strength and toughness
S/C-1.0
1.0
Strength and toughness
S/C-1.2
1.2
Strength
S/C-1.4
1.4
Strength
W/C-0.16
0.8
0.16
0.8
Strength and toughness
W/C-0.17
0.17
Strength
W/C-0.18
0.18
Strength and toughness
W/C-0.19
0.19
Strength
W/C-0.20
0.20
Strength and toughness
MSF-0.0%
0.8
0.18
0
Strength and toughness
MSF-0.4%
0.4
Strength and toughness
MSF-0.8%
0.8
Strength and toughness
MSF-1.2%
1.2
Strength and toughness
MSF-1.6%
1.6
Strength and toughness


### 2.3. Specimen Preparation

Firstly, MgO, KH2PO4, and borax were weighed in certain proportions and mixed by a mixer in a low speed. Then, sand was added and mixed for another minute. Afterward, the MSFs were slowly mixed into the mixture. Finally, water was added to the mixer and mixed in a low speed for 30 s, followed by a high speed mixing of 60 s. The mixed mixtures were transferred into the steel molds of 40 mm × 40 mm × 160 mm and 100 mm × 100 mm × 400 mm and then compacted on a vibration table. The specimens were demolded after 30 min and cured in a room at approximately 50% relative humidity (RH) and 20°C temperature. The mix processing and prepared specimens are shown in Figures 2 and 3.Figure 2
MSFRMM mix processing.Figure 3
MSFRMM specimens.


### 2.4. Compressive Strength and Flexural Strength Tests

The compressive strength and flexural strength tests were conducted according to GB/T17671-1999 [25]. A universal testing machine with a capacity of 300 kN was used for the compressive strength and flexural strength tests, as shown in Figure 4. At first, the 40 mm × 40 mm × 160 mm prism specimens with the span length of 100 mm were loaded in the middle to measure the flexural strength. The loading rate was 50 N/s (Figure 4(a)). Afterward, the two parts of each fractured prism specimen were placed on the test setup with a compression area of 40 × 40 mm to test the compressive strength at a loading rate of 2.4 kN/s (Figure 4(b)). The flexural strength (ff) was calculated using (1), and the compressive strength (fc′) was calculated using (2):(1)ff=1.5P×Lb3,(2)fc′=PA,where P is the maximum load, A is the area under compression (A=1600mm2 for this test), b is the side length of the square cross section of the prism (b=40mm for this test), and L is the span length (L=100mm for this test).Figure 4
(a) Flexural strength test. (b) Compressive strength test.
(a)
(b)


### 2.5. Flexural Toughness Test

The 100 mm × 100 mm × 400 mm prism specimens were tested for flexural toughness according to JG/T472-2015 [26] and ASTM C1609 [27]. The test was conducted by using a universal testing machine with a capacity of 2000 kN. As shown in Figure 5, the third-point loading was applied on the prism specimen with controlling the increase rate of net deflection at 0.1 mm/min. Two linear variable displacement transducers (LVDTs) on each side were used to measure the midspan. The average of the two measurements represents the midspan deflection. The load was recorded by a load transducer with a capacity of 100 kN. All the readings (load and deflection) were collected by a data logger every two seconds.Figure 5
Flexural toughness test.


## 2.1. Materials

Magnesium phosphate cement (MPC) used in this study was prepared by mixing dead-burned magnesia (MgO) and monopotassium phosphate (KH2PO4) in a certain proportion. Borax (Na2B4O7·10H2O) was used as retarder to control the setting time. The dead-burned MgO (labeled M), with the particle size of 325 mesh and purity of 92.53%, was achieved by burned magnesite in 1500°C. The industrial-grade KH2PO4 (labeled P) is white crystalline powder with a purity of 98%, particle size of 80 mesh, relative density of 2.338, and melting point of 252.6°C. KH2PO4 has deliquescence acidity of its aqueous solution and is not soluble in alcohol. Industrial-grade borax (Na2B4O7·10H2O, labeled B) has a purity of 95% with a particle size of 80–100 mesh. Tap water, river sand with fineness modulus of 2.06, and micro steel fibers (MSFs) with hooked ends were also adopted in this study. The properties of MSFs provided by the manufacturer are detailed in Table 1 and Figure 1.Table 1
Properties of micro steel fibers.
Type
Length,L (mm)
Diameter,D (mm)
Aspect ratio,L/D
Tensile strength (MPa)
Number per kilogram
RS60/13-2850
13
0.22
59
2850
224862Figure 1
Micro steel fibers.


## 2.2. Test Parameters and Mixture Proportions

The mole ratio of MgO to KH2PO4 in MPC was constant at 4 (M/P=4) for all mixtures. The dosage of borax was 6.0% of MgO mass (B/M=0.06) for all mixtures. This study aims to investigate the effects of varying curing time, sand-cement mass ratios (S/C), water-cement mass ratios (W/C), and fiber volume fractions (ρf) on the mechanical properties of MPC mortar. Therefore, the mixture proportions considering the above factors are listed in Table 2. In Table 2, S/C represents the mass ratio of sand to cement (MgO and KH2PO4), W/C represents the mass ratio of water to cement (MgO and KH2PO4), B/M represents the mass ratio of borax to MgO, and ρf represents the MSF volume fraction.Table 2
Mixture proportions and test items.
ID
Mass ratio of sand to cement,S/C
Mass ratio of water to cement,W/C
MSF volume fraction,ρf (%)
Test
S/C-0.6
0.6
0.18
0.8
Strength and toughness
S/C-0.8
0.8
Strength and toughness
S/C-1.0
1.0
Strength and toughness
S/C-1.2
1.2
Strength
S/C-1.4
1.4
Strength
W/C-0.16
0.8
0.16
0.8
Strength and toughness
W/C-0.17
0.17
Strength
W/C-0.18
0.18
Strength and toughness
W/C-0.19
0.19
Strength
W/C-0.20
0.20
Strength and toughness
MSF-0.0%
0.8
0.18
0
Strength and toughness
MSF-0.4%
0.4
Strength and toughness
MSF-0.8%
0.8
Strength and toughness
MSF-1.2%
1.2
Strength and toughness
MSF-1.6%
1.6
Strength and toughness


## 2.3. Specimen Preparation

Firstly, MgO, KH2PO4, and borax were weighed in certain proportions and mixed by a mixer in a low speed. Then, sand was added and mixed for another minute. Afterward, the MSFs were slowly mixed into the mixture. Finally, water was added to the mixer and mixed in a low speed for 30 s, followed by a high speed mixing of 60 s. The mixed mixtures were transferred into the steel molds of 40 mm × 40 mm × 160 mm and 100 mm × 100 mm × 400 mm and then compacted on a vibration table. The specimens were demolded after 30 min and cured in a room at approximately 50% relative humidity (RH) and 20°C temperature. The mix processing and prepared specimens are shown in Figures 2 and 3.Figure 2
MSFRMM mix processing.Figure 3
MSFRMM specimens.


## 2.4. Compressive Strength and Flexural Strength Tests

The compressive strength and flexural strength tests were conducted according to GB/T17671-1999 [25]. A universal testing machine with a capacity of 300 kN was used for the compressive strength and flexural strength tests, as shown in Figure 4. At first, the 40 mm × 40 mm × 160 mm prism specimens with the span length of 100 mm were loaded in the middle to measure the flexural strength. The loading rate was 50 N/s (Figure 4(a)). Afterward, the two parts of each fractured prism specimen were placed on the test setup with a compression area of 40 × 40 mm to test the compressive strength at a loading rate of 2.4 kN/s (Figure 4(b)). The flexural strength (ff) was calculated using (1), and the compressive strength (fc′) was calculated using (2):(1)ff=1.5P×Lb3,(2)fc′=PA,where P is the maximum load, A is the area under compression (A=1600mm2 for this test), b is the side length of the square cross section of the prism (b=40mm for this test), and L is the span length (L=100mm for this test).Figure 4
(a) Flexural strength test. (b) Compressive strength test.
(a)
(b)


## 2.5. Flexural Toughness Test

The 100 mm × 100 mm × 400 mm prism specimens were tested for flexural toughness according to JG/T472-2015 [26] and ASTM C1609 [27]. The test was conducted by using a universal testing machine with a capacity of 2000 kN. As shown in Figure 5, the third-point loading was applied on the prism specimen with controlling the increase rate of net deflection at 0.1 mm/min. Two linear variable displacement transducers (LVDTs) on each side were used to measure the midspan. The average of the two measurements represents the midspan deflection. The load was recorded by a load transducer with a capacity of 100 kN. All the readings (load and deflection) were collected by a data logger every two seconds.Figure 5
Flexural toughness test.


## 3. Test Results and Analysis

The specimens of different mixture proportions in Table2 were tested for compressive strength, flexural strength, and flexural toughness. In Table 2, “strength and toughness” denotes that the specimens of this mixture were tested for compressive strength, flexural strength, and flexural toughness, and “strength” denotes that the specimens of this mixture were only tested for compressive strength and flexural strength. Each data presented here are the average test results of three specimens.


### 3.1. Results of the Strength Test and Discussion

Test results of compressive strength and flexural strength are shown in Table3.Table 3
Compressive strength and flexural strength of MSFRMM.
ID
Curing time
6 h
12 h
1 d
3 d
7 d
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
S/C-0.6
21.8
7.1
33.1
8.1
47.1
10.3
54.7
11.1
60.1
13.4
S/C-0.8
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
S/C-1.0
26
6.6
34.1
7.4
49.9
10.1
50.4
10.2
55.5
11.9
S/C-1.2
19.6
4.9
32.3
7.2
44.9
8.4
47.7
9.8
52.8
11.6
S/C-1.4
25.6
4.1
31.2
7.9
41.6
8.5
46.8
9.2
48.9
11.5
W/C-0.16
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
W/C-0.17
31.5
7.5
39.5
10.2
48.5
12
56.5
12.2
65.8
11.8
W/C-0.18
26.1
8.3
35.1
8.3
46.4
9.9
52.8
9.1
61.2
10.6
W/C-0.19
20.9
7.1
34.2
8.1
39.4
9.4
46.1
8.7
56.2
11.1
W/C-0.20
23.8
7.6
30.2
7.7
34.7
7.9
42.8
9.5
52.1
10.7
MSF-0.0%
18.5
3.0
22.9
3.8
27.6
6.3
36.2
6.1
44.4
7.4
MSF-0.4%
22.3
6.5
36.6
5.5
40.2
7.9
44.7
8.8
53.6
9.9
MSF-0.8%
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
MSF-1.2%
35.4
8.2
44.8
8.6
47.2
11.7
54.2
13.6
62.5
15
MSF-1.6%
36.2
9.5
47.4
11.4
50.1
15.6
58.4
16
68.2
17.4
Note. Comp. and flex. represent compressive strength and flexural strength, respectively.


#### 3.1.1. Effect of Sand-Cement Mass RatioS/C on the Strength

Figure6 shows the compressive strength for specimens with varying sand-cement mass ratios S/C at various curing time. It can be observed that the compressive strength significantly increases with the increase of curing time, especially during the first 3 days. The compressive strength at 1 d developed 80% or more of that at 7 d, indeed, at 3 d developed 90% or more of that at 7 d. Due to the inadequate sand of S/C-0.6 specimens, the sand was unable to sufficiently work as aggregates. In addition, the water supply was more than demand, which led to the lower strength than that of S/C-0.8 specimens. S/C-0.8 specimens have the maximum strength at every curing time. However, when the amount of cement gradually decreased with the increase of S/C, the sand and fibers would not be fully coated by cementitious materials. Meanwhile, the excess sand would introduce more pores with low compaction and resulted in poor workability of mixtures, which are responsible for the low strength of specimens with high S/C.Figure 6
Effect ofS/C on the compressive strength with various curing time (ρf = 0.8%; W/C = 0.18).Flexural strength showed a similar trend with compressive strength for specimens with varyingS/C and curing time, as illustrated in Figure 7. At every curing time, the specimens of S/C-0.8 always performed the highest strength of all specimens.Figure 7
Effect ofS/C on the flexural strength with various curing time (ρf = 0.8%; W/C = 0.18).


#### 3.1.2. Effect of Water-Cement Mass RatioW/C on the Strength

Figure8 shows the compressive strength of specimens with varying water-cement mass ratios W/C at various curing time. Fast development of compressive strength can also be observed within 7 d. The compressive strength at 1 d and 3 d, respectively, attained 70% and 80% of that at 7 d. W/C-0.6 specimens showed the highest compressive strength than others at all curing time. The compressive strength decreased with the increase of W/C. Due to the low water-demand of MPC (magnesium phosphate cement), the excess water was only useful for moistening sand and improving the workability of mixture but would cause the possibilities of water segregation, high porosity, and low strength.Figure 8
Effect ofW/C on the compressive strength with various curing time (ρf = 0.8%; S/C = 0.8).As shown in Figure9, the flexural strength increased with the increase of curing time in general but decreased with the increase of W/C for all specimens at the same age.Figure 9
Effect ofW/C on the flexural strength with various curing time (ρf = 0.8%; S/C = 0.8).


#### 3.1.3. Effect of MSFs on the Strength

Figure10 shows the compressive strength of specimens with varying MSF volume fractions (ρf) at various curing time. It can be observed that the compressive strength noticeably increased with the increase of curing time. The compressive strength of 1 d and 3 d, respectively, reached to 72.3%–75.5% and 83.4%–86.8% of that at 7 d. With the increase of ρf up to 0.8%, the fast development of compressive strength can be observed. The high efficiency of reinforcement of MSFs was benefited from its larger number per unit mass and more developed bond with hydration products of MPC. This means higher reinforcing effect gained with fewer MSFs used. Compared to the specimens without MSFs, the compressive strength for the specimens with MSFs of 1.6% by volume was increased by 95.7%, 106.9%, 62.2%, 61.3%, and 53.6% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. High early strength is prominent.Figure 10
Effect ofρf on the compressive strength with various curing time (S/C = 0.8; W/C = 0.18).Similar to compressive strength, the flexural strength dramatically increased with the increase of curing age and MSF volume fractions (ρf), as shown in Figure 11. The addition of MSFs of 1.6% by volume improved the flexural strength of 216.7%, 200%, 162.3%, 147.6%, and 135% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. It indicated a higher reinforcing effect on flexural strength than that on compressive strength.Figure 11
Effect ofρf on the flexural strength with various curing time (S/C = 0.8; W/C = 0.18).


### 3.2. Results of the Flexural Toughness Test and Discussion

The flexural toughness test was conducted on the specimens with various mixture proportions shown in Table2. The effects of curing time, MSF volume fraction (ρf), water-cement ratio (W/C), and sand-cement ratio (S/C) on flexural properties derived from flexural load-midspan deflection curves were analyzed.


#### 3.2.1. Effect of MSFs on the Flexural Load-Midspan Deflection Curve

Figures12–15 show the flexural load-midspan deflection curve of specimens with varying MSF volume fractions (ρf) at various curing time. The flexural load-midspan deflection curve of specimens without MSFs showed a sudden failure past peak load. However, the failure mode of the specimens was changed from brittle failure to ductile failure by the addition of MSFs. Furthermore, these specimens with MSF performed a full curve. The descending branch displayed minor fluctuations, as the MSFs were pulled out one after another. With the increase of ρf, the initial cracking load, peak load, and plump degree of the curves were improved, as well the residual deflection increased. It should be noted that the curve of specimens with 0.4% MSF at the curing time of 3 d shows an unexpected lowest peak load than that of 12 h and 1 d. This is probably ascribed to the uneven distribution of steel fibers resulting in the absent or inadequate steel fibers in the bottom of specimens.Figure 12
Flexural load-midspan deflection curves of specimens with varyingρf (12 h curing).Figure 13
Flexural load-midspan deflection curves of specimens with varyingρf (1 d curing).Figure 14
Flexural load-midspan deflection curves of specimens with varyingρf (3 d curing).Figure 15
Flexural load-midspan deflection curves of specimens with varyingρf (7 d curing).At an early curing age of 12 h, whenρf increased from 0.8% to 1.6%, the peak load and plump degree were not improved, as shown in Figure 14. This indicates that MSF of high volume fraction would not fully achieve its potential of toughening effect due to the inadequate bond between MSFs and matrix at early age. Developed bond was achieved at 1 d, so the peak load and plump degree of the flexural load-midspan deflection curve were significantly improved with the increase of ρf and showed the maximum for the specimens with MSFs up to 1.6%.


#### 3.2.2. Effect of Curing Time on the Flexural Load-Midspan Deflection Curve

The typical flexural load-midspan deflection curves of MSF specimens (i.e., MSFs of 1.2% volume fraction) are shown in Figure16. When curing time increased from 12 h to 7 d, the initial cracking load, peak load, and plump degree were improved, especially during the first 3 days. This indicates a high early toughness of MSFRMM.Figure 16
Flexural load-midspan deflection curves of specimens with varying curing time (MSF-1.2%).


#### 3.2.3. Effect of Water-Cement Mass RatioW/C on the Flexural Load-Midspan Deflection Curve

Figure17 shows the flexural load-midspan deflection curves of specimens with varying water-cement mass ratio W/C of 0.16, 0.18, and 0.20. The increase of water content caused by increasing W/C resulted in the decrease of the peak load, residual deflection after peak load, and plump degree.Figure 17
Flexural load-midspan deflection curves of specimens with varyingW/C (7 d curing; ρf = 0.8%; S/C = 0.8).


#### 3.2.4. Effect of Sand-Cement Mass RatioS/C on Flexural Load-Midspan Deflection Curve

Figure18 shows the flexural load-midspan deflection curves of specimens with varying sand-cement mass ratio S/C of 0.6, 0.8, and 1.0. It can be observed that the increase of S/C caused a reduction in the peak load and plump degree of the flexural load-midspan deflection curve. This indicates a slight decrease in toughness due to the reduced dosage of cement.Figure 18
Flexural load-midspan deflection curves of specimens with varyingS/C (7 d curing; ρf = 0.8%; W/C = 0.18).


### 3.3. Calculation and Analysis of Flexural Toughness

Based on the flexural load-midspan deflection curves, the index of flexural toughness can be calculated to analyze the effect of curing time, MSF volume fraction (ρf), water-cement mass ratio (W/C), and sand-cement mass ratio (S/C) on the flexural toughness of MSFRMM. Four methods recommended by ASTM C1018 [28], ASTM C1609 [27], JSCE SF-4 [29], and JG/T 472-2015 [26] were used to evaluate the flexural toughness for steel fiber-reinforced composite. The ASTM C1609 [27] was adopted herein to evaluate the flexural properties.ASTM C1609 [27] defines the total area under the flexural load-deflection curve up to L/150 (L is the beam span, and L = 300 mm for this test) as flexural toughness T150D (N·mm). The equivalent flexural strength ratio RT,150D can be calculated by the following equation:(3)RT,150D=150T150Df1bh2×100%,where f1 is the first peak strength (MPa), b is the width of the specimen (b=100mm for this test), and h is the height of the specimen (h=100mm for this test). The flexural toughness T150D and the equivalent flexural strength ratio RT,150D calculated by (3) for this test are shown in Table 4 and Figures 19–21. T150D and RT,150D can be used to manifest the properties of toughness and ductility, respectively.Table 4
Index of flexural toughness and ductility of MSFRMM.
ID
Curing time
ASTM C1609
Flexural toughness,T150D (kN·mm)
Equivalent flexural strength ratio,RT,150D (%)
S/C-0.6
7 d
28.69
76.5
S/C-0.8
24.82
69.9
S/C-1.0
24.47
70.0
W/C-0.16
7 d
20.70
70.7
W/C-0.18
24.82
69.9
W/C-0.20
27.27
77.8
MSF-0.4%
12 h
15.16
63.8
MSF-0.8%
21.24
74.5
MSF-1.2%
21.92
72.6
MSF-1.6%
21.62
70.3
MSF-0.4%
1 d
18.71
75.5
MSF-0.8%
21.45
73.2
MSF-1.2%
24.29
76.3
MSF-1.6%
23.96
66.1
MSF-0.4%
3 d
13.01
62.6
MSF-0.8%
24.30
70.9
MSF-1.2%
24.51
70.8
MSF-1.6%
25.52
68.9
MSF-0.4%
7 d
18.08
73.6
MSF-0.8%
24.82
69.9
MSF-1.2%
26.02
72.2
MSF-1.6%
30.71
65.7Figure 19
Flexural toughness and ductility of specimens with varyingρf.Figure 20
Flexural toughness of specimens with varyingS/C.Figure 21
Flexural toughness of specimens with varyingW/C.The results ofT150D and RT,150D of specimens with varying ρf and curing time are presented in Figure 19. It can be observed that the flexural toughness T150D increased with increase of ρf at the same curing time. The flexural toughness T150D increased with increase of curing time for the specimens with the same. This results demonstrated that the increase of ρf and curing time effectively contributed to the development of flexural toughness. However, RT,150D slightly fluctuates and does not show a consistent trend with the increase of ρf and curing time. Because of the increase of curing time, the increased strength and brittle of matrix were not able to be fully compensated by the developed bond between MSF and matrix. Therefore, MSF has distinctive contributions to the increase of toughness other than ductility for the specimens in general. Due to the significant decrease in the total area under the flexural load-deflection curve, the specimens with 0.4% MSF at the curing time of 3 d show an unexpected low toughness, as discussed in Section 3.2.1.The results ofT150D and RT,150D of specimens with varying S/C are presented in Figure 20. When the S/C increased from 0.6 to 1.0, T150D and RT,150D moderately decreased due to the reduced dosage of cement. The decreased T150D and RT,150D indicated a moderate reduction in toughness and ductility of MSFRMM.The results ofT150D and RT,150D of specimens with varying W/C are presented in Figure 21. This figure shows a significant increase of T150D and slight increase of RT,150D as the W/C decrease from 0.20 to 0.16. The increase of T150D and RT,150D is benefited from the high density of matrix caused by the reduced water, which indicates the increase of toughness and ductility of MSFRMM as W/C decreases.


## 3.1. Results of the Strength Test and Discussion

Test results of compressive strength and flexural strength are shown in Table3.Table 3
Compressive strength and flexural strength of MSFRMM.
ID
Curing time
6 h
12 h
1 d
3 d
7 d
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
Comp.
Flex.
S/C-0.6
21.8
7.1
33.1
8.1
47.1
10.3
54.7
11.1
60.1
13.4
S/C-0.8
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
S/C-1.0
26
6.6
34.1
7.4
49.9
10.1
50.4
10.2
55.5
11.9
S/C-1.2
19.6
4.9
32.3
7.2
44.9
8.4
47.7
9.8
52.8
11.6
S/C-1.4
25.6
4.1
31.2
7.9
41.6
8.5
46.8
9.2
48.9
11.5
W/C-0.16
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
W/C-0.17
31.5
7.5
39.5
10.2
48.5
12
56.5
12.2
65.8
11.8
W/C-0.18
26.1
8.3
35.1
8.3
46.4
9.9
52.8
9.1
61.2
10.6
W/C-0.19
20.9
7.1
34.2
8.1
39.4
9.4
46.1
8.7
56.2
11.1
W/C-0.20
23.8
7.6
30.2
7.7
34.7
7.9
42.8
9.5
52.1
10.7
MSF-0.0%
18.5
3.0
22.9
3.8
27.6
6.3
36.2
6.1
44.4
7.4
MSF-0.4%
22.3
6.5
36.6
5.5
40.2
7.9
44.7
8.8
53.6
9.9
MSF-0.8%
32.8
8.4
42
10.6
46.1
12.5
55.4
13.2
63.8
14.3
MSF-1.2%
35.4
8.2
44.8
8.6
47.2
11.7
54.2
13.6
62.5
15
MSF-1.6%
36.2
9.5
47.4
11.4
50.1
15.6
58.4
16
68.2
17.4
Note. Comp. and flex. represent compressive strength and flexural strength, respectively.


### 3.1.1. Effect of Sand-Cement Mass RatioS/C on the Strength

Figure6 shows the compressive strength for specimens with varying sand-cement mass ratios S/C at various curing time. It can be observed that the compressive strength significantly increases with the increase of curing time, especially during the first 3 days. The compressive strength at 1 d developed 80% or more of that at 7 d, indeed, at 3 d developed 90% or more of that at 7 d. Due to the inadequate sand of S/C-0.6 specimens, the sand was unable to sufficiently work as aggregates. In addition, the water supply was more than demand, which led to the lower strength than that of S/C-0.8 specimens. S/C-0.8 specimens have the maximum strength at every curing time. However, when the amount of cement gradually decreased with the increase of S/C, the sand and fibers would not be fully coated by cementitious materials. Meanwhile, the excess sand would introduce more pores with low compaction and resulted in poor workability of mixtures, which are responsible for the low strength of specimens with high S/C.Figure 6
Effect ofS/C on the compressive strength with various curing time (ρf = 0.8%; W/C = 0.18).Flexural strength showed a similar trend with compressive strength for specimens with varyingS/C and curing time, as illustrated in Figure 7. At every curing time, the specimens of S/C-0.8 always performed the highest strength of all specimens.Figure 7
Effect ofS/C on the flexural strength with various curing time (ρf = 0.8%; W/C = 0.18).


### 3.1.2. Effect of Water-Cement Mass RatioW/C on the Strength

Figure8 shows the compressive strength of specimens with varying water-cement mass ratios W/C at various curing time. Fast development of compressive strength can also be observed within 7 d. The compressive strength at 1 d and 3 d, respectively, attained 70% and 80% of that at 7 d. W/C-0.6 specimens showed the highest compressive strength than others at all curing time. The compressive strength decreased with the increase of W/C. Due to the low water-demand of MPC (magnesium phosphate cement), the excess water was only useful for moistening sand and improving the workability of mixture but would cause the possibilities of water segregation, high porosity, and low strength.Figure 8
Effect ofW/C on the compressive strength with various curing time (ρf = 0.8%; S/C = 0.8).As shown in Figure9, the flexural strength increased with the increase of curing time in general but decreased with the increase of W/C for all specimens at the same age.Figure 9
Effect ofW/C on the flexural strength with various curing time (ρf = 0.8%; S/C = 0.8).


### 3.1.3. Effect of MSFs on the Strength

Figure10 shows the compressive strength of specimens with varying MSF volume fractions (ρf) at various curing time. It can be observed that the compressive strength noticeably increased with the increase of curing time. The compressive strength of 1 d and 3 d, respectively, reached to 72.3%–75.5% and 83.4%–86.8% of that at 7 d. With the increase of ρf up to 0.8%, the fast development of compressive strength can be observed. The high efficiency of reinforcement of MSFs was benefited from its larger number per unit mass and more developed bond with hydration products of MPC. This means higher reinforcing effect gained with fewer MSFs used. Compared to the specimens without MSFs, the compressive strength for the specimens with MSFs of 1.6% by volume was increased by 95.7%, 106.9%, 62.2%, 61.3%, and 53.6% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. High early strength is prominent.Figure 10
Effect ofρf on the compressive strength with various curing time (S/C = 0.8; W/C = 0.18).Similar to compressive strength, the flexural strength dramatically increased with the increase of curing age and MSF volume fractions (ρf), as shown in Figure 11. The addition of MSFs of 1.6% by volume improved the flexural strength of 216.7%, 200%, 162.3%, 147.6%, and 135% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. It indicated a higher reinforcing effect on flexural strength than that on compressive strength.Figure 11
Effect ofρf on the flexural strength with various curing time (S/C = 0.8; W/C = 0.18).


## 3.1.1. Effect of Sand-Cement Mass RatioS/C on the Strength

Figure6 shows the compressive strength for specimens with varying sand-cement mass ratios S/C at various curing time. It can be observed that the compressive strength significantly increases with the increase of curing time, especially during the first 3 days. The compressive strength at 1 d developed 80% or more of that at 7 d, indeed, at 3 d developed 90% or more of that at 7 d. Due to the inadequate sand of S/C-0.6 specimens, the sand was unable to sufficiently work as aggregates. In addition, the water supply was more than demand, which led to the lower strength than that of S/C-0.8 specimens. S/C-0.8 specimens have the maximum strength at every curing time. However, when the amount of cement gradually decreased with the increase of S/C, the sand and fibers would not be fully coated by cementitious materials. Meanwhile, the excess sand would introduce more pores with low compaction and resulted in poor workability of mixtures, which are responsible for the low strength of specimens with high S/C.Figure 6
Effect ofS/C on the compressive strength with various curing time (ρf = 0.8%; W/C = 0.18).Flexural strength showed a similar trend with compressive strength for specimens with varyingS/C and curing time, as illustrated in Figure 7. At every curing time, the specimens of S/C-0.8 always performed the highest strength of all specimens.Figure 7
Effect ofS/C on the flexural strength with various curing time (ρf = 0.8%; W/C = 0.18).


## 3.1.2. Effect of Water-Cement Mass RatioW/C on the Strength

Figure8 shows the compressive strength of specimens with varying water-cement mass ratios W/C at various curing time. Fast development of compressive strength can also be observed within 7 d. The compressive strength at 1 d and 3 d, respectively, attained 70% and 80% of that at 7 d. W/C-0.6 specimens showed the highest compressive strength than others at all curing time. The compressive strength decreased with the increase of W/C. Due to the low water-demand of MPC (magnesium phosphate cement), the excess water was only useful for moistening sand and improving the workability of mixture but would cause the possibilities of water segregation, high porosity, and low strength.Figure 8
Effect ofW/C on the compressive strength with various curing time (ρf = 0.8%; S/C = 0.8).As shown in Figure9, the flexural strength increased with the increase of curing time in general but decreased with the increase of W/C for all specimens at the same age.Figure 9
Effect ofW/C on the flexural strength with various curing time (ρf = 0.8%; S/C = 0.8).


## 3.1.3. Effect of MSFs on the Strength

Figure10 shows the compressive strength of specimens with varying MSF volume fractions (ρf) at various curing time. It can be observed that the compressive strength noticeably increased with the increase of curing time. The compressive strength of 1 d and 3 d, respectively, reached to 72.3%–75.5% and 83.4%–86.8% of that at 7 d. With the increase of ρf up to 0.8%, the fast development of compressive strength can be observed. The high efficiency of reinforcement of MSFs was benefited from its larger number per unit mass and more developed bond with hydration products of MPC. This means higher reinforcing effect gained with fewer MSFs used. Compared to the specimens without MSFs, the compressive strength for the specimens with MSFs of 1.6% by volume was increased by 95.7%, 106.9%, 62.2%, 61.3%, and 53.6% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. High early strength is prominent.Figure 10
Effect ofρf on the compressive strength with various curing time (S/C = 0.8; W/C = 0.18).Similar to compressive strength, the flexural strength dramatically increased with the increase of curing age and MSF volume fractions (ρf), as shown in Figure 11. The addition of MSFs of 1.6% by volume improved the flexural strength of 216.7%, 200%, 162.3%, 147.6%, and 135% at 6 h, 12 h, 1 d, 3 d, and 7 d, respectively. It indicated a higher reinforcing effect on flexural strength than that on compressive strength.Figure 11
Effect ofρf on the flexural strength with various curing time (S/C = 0.8; W/C = 0.18).


## 3.2. Results of the Flexural Toughness Test and Discussion

The flexural toughness test was conducted on the specimens with various mixture proportions shown in Table2. The effects of curing time, MSF volume fraction (ρf), water-cement ratio (W/C), and sand-cement ratio (S/C) on flexural properties derived from flexural load-midspan deflection curves were analyzed.


### 3.2.1. Effect of MSFs on the Flexural Load-Midspan Deflection Curve

Figures12–15 show the flexural load-midspan deflection curve of specimens with varying MSF volume fractions (ρf) at various curing time. The flexural load-midspan deflection curve of specimens without MSFs showed a sudden failure past peak load. However, the failure mode of the specimens was changed from brittle failure to ductile failure by the addition of MSFs. Furthermore, these specimens with MSF performed a full curve. The descending branch displayed minor fluctuations, as the MSFs were pulled out one after another. With the increase of ρf, the initial cracking load, peak load, and plump degree of the curves were improved, as well the residual deflection increased. It should be noted that the curve of specimens with 0.4% MSF at the curing time of 3 d shows an unexpected lowest peak load than that of 12 h and 1 d. This is probably ascribed to the uneven distribution of steel fibers resulting in the absent or inadequate steel fibers in the bottom of specimens.Figure 12
Flexural load-midspan deflection curves of specimens with varyingρf (12 h curing).Figure 13
Flexural load-midspan deflection curves of specimens with varyingρf (1 d curing).Figure 14
Flexural load-midspan deflection curves of specimens with varyingρf (3 d curing).Figure 15
Flexural load-midspan deflection curves of specimens with varyingρf (7 d curing).At an early curing age of 12 h, whenρf increased from 0.8% to 1.6%, the peak load and plump degree were not improved, as shown in Figure 14. This indicates that MSF of high volume fraction would not fully achieve its potential of toughening effect due to the inadequate bond between MSFs and matrix at early age. Developed bond was achieved at 1 d, so the peak load and plump degree of the flexural load-midspan deflection curve were significantly improved with the increase of ρf and showed the maximum for the specimens with MSFs up to 1.6%.


### 3.2.2. Effect of Curing Time on the Flexural Load-Midspan Deflection Curve

The typical flexural load-midspan deflection curves of MSF specimens (i.e., MSFs of 1.2% volume fraction) are shown in Figure16. When curing time increased from 12 h to 7 d, the initial cracking load, peak load, and plump degree were improved, especially during the first 3 days. This indicates a high early toughness of MSFRMM.Figure 16
Flexural load-midspan deflection curves of specimens with varying curing time (MSF-1.2%).


### 3.2.3. Effect of Water-Cement Mass RatioW/C on the Flexural Load-Midspan Deflection Curve

Figure17 shows the flexural load-midspan deflection curves of specimens with varying water-cement mass ratio W/C of 0.16, 0.18, and 0.20. The increase of water content caused by increasing W/C resulted in the decrease of the peak load, residual deflection after peak load, and plump degree.Figure 17
Flexural load-midspan deflection curves of specimens with varyingW/C (7 d curing; ρf = 0.8%; S/C = 0.8).


### 3.2.4. Effect of Sand-Cement Mass RatioS/C on Flexural Load-Midspan Deflection Curve

Figure18 shows the flexural load-midspan deflection curves of specimens with varying sand-cement mass ratio S/C of 0.6, 0.8, and 1.0. It can be observed that the increase of S/C caused a reduction in the peak load and plump degree of the flexural load-midspan deflection curve. This indicates a slight decrease in toughness due to the reduced dosage of cement.Figure 18
Flexural load-midspan deflection curves of specimens with varyingS/C (7 d curing; ρf = 0.8%; W/C = 0.18).


## 3.2.1. Effect of MSFs on the Flexural Load-Midspan Deflection Curve

Figures12–15 show the flexural load-midspan deflection curve of specimens with varying MSF volume fractions (ρf) at various curing time. The flexural load-midspan deflection curve of specimens without MSFs showed a sudden failure past peak load. However, the failure mode of the specimens was changed from brittle failure to ductile failure by the addition of MSFs. Furthermore, these specimens with MSF performed a full curve. The descending branch displayed minor fluctuations, as the MSFs were pulled out one after another. With the increase of ρf, the initial cracking load, peak load, and plump degree of the curves were improved, as well the residual deflection increased. It should be noted that the curve of specimens with 0.4% MSF at the curing time of 3 d shows an unexpected lowest peak load than that of 12 h and 1 d. This is probably ascribed to the uneven distribution of steel fibers resulting in the absent or inadequate steel fibers in the bottom of specimens.Figure 12
Flexural load-midspan deflection curves of specimens with varyingρf (12 h curing).Figure 13
Flexural load-midspan deflection curves of specimens with varyingρf (1 d curing).Figure 14
Flexural load-midspan deflection curves of specimens with varyingρf (3 d curing).Figure 15
Flexural load-midspan deflection curves of specimens with varyingρf (7 d curing).At an early curing age of 12 h, whenρf increased from 0.8% to 1.6%, the peak load and plump degree were not improved, as shown in Figure 14. This indicates that MSF of high volume fraction would not fully achieve its potential of toughening effect due to the inadequate bond between MSFs and matrix at early age. Developed bond was achieved at 1 d, so the peak load and plump degree of the flexural load-midspan deflection curve were significantly improved with the increase of ρf and showed the maximum for the specimens with MSFs up to 1.6%.


## 3.2.2. Effect of Curing Time on the Flexural Load-Midspan Deflection Curve

The typical flexural load-midspan deflection curves of MSF specimens (i.e., MSFs of 1.2% volume fraction) are shown in Figure16. When curing time increased from 12 h to 7 d, the initial cracking load, peak load, and plump degree were improved, especially during the first 3 days. This indicates a high early toughness of MSFRMM.Figure 16
Flexural load-midspan deflection curves of specimens with varying curing time (MSF-1.2%).


## 3.2.3. Effect of Water-Cement Mass RatioW/C on the Flexural Load-Midspan Deflection Curve

Figure17 shows the flexural load-midspan deflection curves of specimens with varying water-cement mass ratio W/C of 0.16, 0.18, and 0.20. The increase of water content caused by increasing W/C resulted in the decrease of the peak load, residual deflection after peak load, and plump degree.Figure 17
Flexural load-midspan deflection curves of specimens with varyingW/C (7 d curing; ρf = 0.8%; S/C = 0.8).


## 3.2.4. Effect of Sand-Cement Mass RatioS/C on Flexural Load-Midspan Deflection Curve

Figure18 shows the flexural load-midspan deflection curves of specimens with varying sand-cement mass ratio S/C of 0.6, 0.8, and 1.0. It can be observed that the increase of S/C caused a reduction in the peak load and plump degree of the flexural load-midspan deflection curve. This indicates a slight decrease in toughness due to the reduced dosage of cement.Figure 18
Flexural load-midspan deflection curves of specimens with varyingS/C (7 d curing; ρf = 0.8%; W/C = 0.18).


## 3.3. Calculation and Analysis of Flexural Toughness

Based on the flexural load-midspan deflection curves, the index of flexural toughness can be calculated to analyze the effect of curing time, MSF volume fraction (ρf), water-cement mass ratio (W/C), and sand-cement mass ratio (S/C) on the flexural toughness of MSFRMM. Four methods recommended by ASTM C1018 [28], ASTM C1609 [27], JSCE SF-4 [29], and JG/T 472-2015 [26] were used to evaluate the flexural toughness for steel fiber-reinforced composite. The ASTM C1609 [27] was adopted herein to evaluate the flexural properties.ASTM C1609 [27] defines the total area under the flexural load-deflection curve up to L/150 (L is the beam span, and L = 300 mm for this test) as flexural toughness T150D (N·mm). The equivalent flexural strength ratio RT,150D can be calculated by the following equation:(3)RT,150D=150T150Df1bh2×100%,where f1 is the first peak strength (MPa), b is the width of the specimen (b=100mm for this test), and h is the height of the specimen (h=100mm for this test). The flexural toughness T150D and the equivalent flexural strength ratio RT,150D calculated by (3) for this test are shown in Table 4 and Figures 19–21. T150D and RT,150D can be used to manifest the properties of toughness and ductility, respectively.Table 4
Index of flexural toughness and ductility of MSFRMM.
ID
Curing time
ASTM C1609
Flexural toughness,T150D (kN·mm)
Equivalent flexural strength ratio,RT,150D (%)
S/C-0.6
7 d
28.69
76.5
S/C-0.8
24.82
69.9
S/C-1.0
24.47
70.0
W/C-0.16
7 d
20.70
70.7
W/C-0.18
24.82
69.9
W/C-0.20
27.27
77.8
MSF-0.4%
12 h
15.16
63.8
MSF-0.8%
21.24
74.5
MSF-1.2%
21.92
72.6
MSF-1.6%
21.62
70.3
MSF-0.4%
1 d
18.71
75.5
MSF-0.8%
21.45
73.2
MSF-1.2%
24.29
76.3
MSF-1.6%
23.96
66.1
MSF-0.4%
3 d
13.01
62.6
MSF-0.8%
24.30
70.9
MSF-1.2%
24.51
70.8
MSF-1.6%
25.52
68.9
MSF-0.4%
7 d
18.08
73.6
MSF-0.8%
24.82
69.9
MSF-1.2%
26.02
72.2
MSF-1.6%
30.71
65.7Figure 19
Flexural toughness and ductility of specimens with varyingρf.Figure 20
Flexural toughness of specimens with varyingS/C.Figure 21
Flexural toughness of specimens with varyingW/C.The results ofT150D and RT,150D of specimens with varying ρf and curing time are presented in Figure 19. It can be observed that the flexural toughness T150D increased with increase of ρf at the same curing time. The flexural toughness T150D increased with increase of curing time for the specimens with the same. This results demonstrated that the increase of ρf and curing time effectively contributed to the development of flexural toughness. However, RT,150D slightly fluctuates and does not show a consistent trend with the increase of ρf and curing time. Because of the increase of curing time, the increased strength and brittle of matrix were not able to be fully compensated by the developed bond between MSF and matrix. Therefore, MSF has distinctive contributions to the increase of toughness other than ductility for the specimens in general. Due to the significant decrease in the total area under the flexural load-deflection curve, the specimens with 0.4% MSF at the curing time of 3 d show an unexpected low toughness, as discussed in Section 3.2.1.The results ofT150D and RT,150D of specimens with varying S/C are presented in Figure 20. When the S/C increased from 0.6 to 1.0, T150D and RT,150D moderately decreased due to the reduced dosage of cement. The decreased T150D and RT,150D indicated a moderate reduction in toughness and ductility of MSFRMM.The results ofT150D and RT,150D of specimens with varying W/C are presented in Figure 21. This figure shows a significant increase of T150D and slight increase of RT,150D as the W/C decrease from 0.20 to 0.16. The increase of T150D and RT,150D is benefited from the high density of matrix caused by the reduced water, which indicates the increase of toughness and ductility of MSFRMM as W/C decreases.


## 4. Conclusions

An experimental investigation was performed to study the effects of curing time, sand-cement mass ratio, water-cement mass ratio, and MSF volume fraction on the compressive strength, flexural strength, flexural toughness, and flexural ductility of MSFRMM. The experimental results led to the following conclusions.(1)
Compared to the specimens without MSF, the compressive strength and flexural strength for the specimens with 1.6% MSF were significantly improved by 95.7% and 216.7%, respectively.(2)
The MPC-based mortar with MSFs of 1.6% by volume showed high early strength. The compressive strength of the specimens at 6 h, 12 h, 1 d, 3 d, and 7 d curing time are 36.2 MPa, 47.4 MPa, 50.1 MPa, 58.4 MPa, and 68.2 MPa, respectively. The flexural strength of the specimens at 6 h, 12 h, 1 d, 3 d, and 7 d curing time are 9.5 MPa, 11.4 MPa, 15.6 MPa, 16.0 MPa, and 17.4 MPa, respectively.(3)
The addition of MSFs changed the flexural failure of MPC-based mortar from brittleness to ductility. With increasing MSF volume fraction from 0.0% to 1.6%, the flexural toughness of MSFRMM increased significantly.(4)
The toughness and ductility of MSFRMM moderately increase with the decrease of sand-cement mass ratio caused by the increased hydration product of MPC in the mortar. The toughness and ductility of MSFRMM increase with the decrease of water-cement mass ratio due to the improved density of MPC mortar caused by the reduced water.



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*Source: 3978318-2018-02-11.xml*