High-Temperature Performance Evaluation of Asphalt Mixtures by Adding Short-Chopped Basalt Fiber

: Adding basalt ﬁber (BF) can effectively enhance the performance of asphalt mixtures and improve the service quality of asphalt pavement. However, the effect of BF on the high-temperature performance of different types of asphalt mixtures and systematic high-temperature performance test analysis are still not well known. To address this issue, three typical types of asphalt mixtures of AC-13, SMA-13, and SUP-13 were selected. Wheel tracking test, uniaxial penetration test, dynamic modulus test, and dynamic creep test were conducted. In addition, relevant parameters of dynamic stability, penetration strength, dynamic modulus index, and ﬂow number were analyzed. The results showed that adding BF into the asphalt mixture could improve the dynamic stability, penetration strength, dynamic modulus index, and ﬂow number signiﬁcantly, indicating that adding basalt ﬁber is an effective solution to the rutting deformation damage of asphalt pavement. Moreover, the parameter of dynamic stability presented an approximate polynomial correlation with penetration strength, dynamic modulus index, and ﬂow number, respectively. These ﬁndings provide a certain theoretical reference for evaluating the high-temperature performance of BF-modiﬁed asphalt mixtures.


Introduction
Asphalt pavement has already become the main high-grade pavement form in China because of its unique advantages.After decades of development, the performance of asphalt pavement has made great progress.However, with the rapid development of the national economy, the passenger and cargo transport volume of high-grade highways increased rapidly, which led to various diseases of asphalt pavement.Among them, hightemperature deformation damages, such as rutting and upheaval, will appear on asphalt pavements and deteriorate rapidly under high temperatures and overload vehicle conditions [1][2][3][4].Meanwhile, once the maintenance is not in time, deformation will accumulate, causing damage to the pavement structure and resulting in a decrease in asphalt pavement performance and service life.Enhancing the high-temperature deformation resistance of mixtures has become one of the hot issues in the asphalt industry [5][6][7][8].
The application of fiber into asphalt mixture is one of the most common solutions for researchers to improve the high-temperature performance of asphalt mixture by changing its material composition [9][10][11].Fiber-modified asphalt mixture is a kind of physical synthesis composite material.At present, the main fiber types applied in asphalt mixture to improve pavement performance include lignin fiber, mineral fiber, polymer fiber, glass fiber, and so on.Among these, as a new environmentally friendly mineral fiber, basalt fiber has gained more attention for the improvement of asphalt pavement performance due to its unique advantages: better strength, chemical stability, wide working temperature range, etc.It has been approved that adding basalt fiber can strengthen the pavement property of asphalt mixtures [12][13][14][15][16], especially the high-temperature deformation resistance and fatigue resistance [17][18][19].Zhang et al. [20,21] employed a wheel tracking test and dynamic modulus test to measure the high-temperature rutting resistance of fiber-modified asphalt mixtures.The results show that at a high temperature, adding basalt fiber into an asphalt mixture can evidently improve its stiffness.Guo et al. [22][23][24][25][26][27] studied the impact of basalt fiber on the high-temperature performance of asphalt mixtures using the Marshall stability test and wheel tracking test.The results present that adding basalt fiber can improve several high-temperature indexes of asphalt mixtures effectively.
Li et al. [28] studied the high-temperature deformation resistance of SBS-modified asphalt mixtures and pointed out that the asphalt mixtures possess better deformation resistance when the basalt fiber content is 0.25%, compared with the neat mixtures without basalt fiber.Cheng et al. [29] employed the uniaxial compression creep test and the rutting test to assess the high-temperature deformation resistance to permanent deformation of the diatomite and basalt fiber-modified asphalt mixture.Test results indicate that adding basalt fiber can reinforce the rutting resistance and slow down the creep rate.Wu et al. [30] discussed the impacts of basalt fiber on the high-temperature rutting resistance of asphalt mixtures with reclaimed asphalt pavement (RAP) contents of 0%, 30%, 40%, and 50%, based on wheel tracking tests.In addition, Zhang et al. [31] found that adding basalt fiber into asphalt mixtures can increase the dynamic stability and reduce the rutting depth of open-graded friction course (OGFC) mixtures significantly by Hamburg wheel tracking test and proposed the optimal basalt fiber dosage of 0.15%.
It can be observed that the above-mentioned literature mainly focuses on the improvement of basalt fiber on the high-temperature rutting resistance of asphalt mixtures by a single parameter, such as dynamic stability at 60 • C from wheel tracking test, dynamic modulus at high temperature from dynamic modulus test, or penetration strength from a uniaxial penetration test, etc.However, there is still a lack of comprehensive analysis of different parameters and an understanding of the relationship between pavement performance and mechanical properties.
In this paper, four different types of test methods, including wheel tracking test, uniaxial penetration test, dynamic modulus test as well as dynamic creep test, were adopted to investigate and evaluate the high-temperature performance of basalt fiber modified asphalt mixtures.Three widely used types of asphalt mixtures containing dense graded gradations AC-13, Superpave-13 (SUP-13 for short), and stone matrix SMA-13 were selected.Typical parameters from the four tests were analyzed, and the correlations were established.Then the high-temperature performance index obtained by a simple experimental method can be used to predict other high-temperature performance test indexes.It is expected that the findings can provide a reference for the evaluation of the high-temperature performance of the basalt fiber-modified asphalt mixtures.

Short-Chopped Basalt Fiber
In this paper, short-chopped basalt fiber (BF) with a length of 6 mm produced by Jiangsu Tianlong Basalt Fiber Co., Ltd., Yizheng, China, was used, as shown in Figure 1.Flocculent lignin fiber (LF), produced by JRS company, Germany, was also selected as a fiber stabilizer for neat sample of SMA-13 graded asphalt mixture for comparison, as shown in Figure 2. The properties of BF and LF are listed in Tables 1 and 2.

Asphalt
The styrene butadiene styrene (SBS)-modified asphalt, provided by Tiannuo Road Materials Technology Co., Ltd., Zhenjiang, China, was selected in this research.The physical properties are summarized in Table 3.

Asphalt
The styrene butadiene styrene (SBS)-modified asphalt, provided by Tiannuo Road Materials Technology Co., Ltd., Zhenjiang, China, was selected in this research.The physical properties are summarized in Table 3.The styrene butadiene styrene (SBS)-modified asphalt, provided by Tiannuo Road Materials Technology Co., Ltd., Zhenjiang, China, was selected in this research.The physical properties are summarized in Table 3. Basalt aggregates were used for asphalt mixtures of SMA-13 gradation, while limestone aggregates were selected for AC-13 and SUP-13.The apparent relative densities of the coarse and fine aggregates of basalt aggregates are 2.929 g/cm 3 and 2.840 g/cm 3 .In addition, the apparent relative densities of the coarse and fine aggregates of limestone aggregates are 2.750 g/cm 3 and 2.700 g/cm 3 .

Gradation Curve
Three typical mixtures, AC-13, SMA-13, and SUP-13, were adopted.The gradation curves are illustrated in Figure 3, respectively.The AC-13 and SMA-13 gradation design processes were conducted following the procedures listed in the JTG F40-2004 [32], while SUP-13 gradation design process was in accordance with the Superpave design method.Basalt aggregates were used for asphalt mixtures of SMA-13 gradation, while limestone aggregates were selected for AC-13 and SUP-13.The apparent relative densities of the coarse and fine aggregates of basalt aggregates are 2.929 g/cm 3 and 2.840 g/cm 3 .In addition, the apparent relative densities of the coarse and fine aggregates of limestone aggregates are 2.750 g/cm 3 and 2.700 g/cm 3 .

Gradation Curve
Three typical mixtures, AC-13, SMA-13, and SUP-13, were adopted.The gradation curves are illustrated in Figure 3, respectively.The AC-13 and SMA-13 gradation design processes were conducted following the procedures listed in the JTG F40-2004 [32], while SUP-13 gradation design process was in accordance with the Superpave design method.

Volumetric Properties of Asphalt Mixtures
The types and dosages of fiber for different asphalt mixtures are summarized in Table 4. Standard Marshall specimens were carried out by the Marshall design method, according to Chinese standard JTG E20 [33].For each set, at least four specimens should be prepared.Every standard Marshall specimen would be compacted 75 times on both sides.The volumetric properties results of all the different types of asphalt mixtures with the corresponding optimum asphalt content (OAC) are shown in Table 5.

Wheel Tracking Test
In accordance with JTG E20-T0719 [33], the wheel tracking test was conducted under the wheel pressure of 0.7 MPa.Considering the high ambient temperature in summer, the in-situ pavement temperature can be higher than 60 °C.Therefore, both 60 °C and 70 °C

Volumetric Properties of Asphalt Mixtures
The types and dosages of fiber for different asphalt mixtures are summarized in Table 4. Standard Marshall specimens were carried out by the Marshall design method, according to Chinese standard JTG E20 [33].For each set, at least four specimens should be prepared.Every standard Marshall specimen would be compacted 75 times on both sides.The volumetric properties results of all the different types of asphalt mixtures with the corresponding optimum asphalt content (OAC) are shown in Table 5.In accordance with JTG E20-T0719 [33], the wheel tracking test was conducted under the wheel pressure of 0.7 MPa.Considering the high ambient temperature in summer, the in-situ pavement temperature can be higher than 60 • C. Therefore, both 60 • C and 70 • C were selected as the test temperatures.Dynamic stability (DS), calculated by Equation ( 1), was employed to evaluate the high-temperature rutting resistance of asphalt mixtures.In general, higher DS values are expected to obtain superior rutting resistance.

DS
where N is the running speed of the wheel, usually 42 times/min; d 1 and d 2 are the deformations of the asphalt mixtures at the running time t 1 (45 min), t 2 (60 min), mm; C 1 and C 2 are tested coefficients, C 1 = C 2 =1.0.

Uniaxial Penetration Test
According to JTG D50-2017 [34], a cylindrical specimen with a height of 100 mm and a diameter of 150 mm was used for the uniaxial penetration test.A loading bar with a height of 50 mm and a diameter of 42 mm was used.The test temperature was set at 60 • C. The schematic diagram of this test is shown in Figure 4b.The penetration stress (σ P ), penetration strength (R T ), and penetration modulus (E S ), calculated by Equations ( 2)-( 4), were used to assess the high-temperature deformation resistance of mixtures.
where P is the maximum load, N; A is the contact area, mm 2 ; f T is the penetration stress coefficient, with a value of 0.35; h is the penetration depth, mm; H is the height of test specimen, mm.
Buildings 2023, 13, x FOR PEER REVIEW 6 of 15 were selected as the test temperatures.Dynamic stability (DS), calculated by Equation ( 1), was employed to evaluate the high-temperature rutting resistance of asphalt mixtures.In general, higher DS values are expected to obtain superior rutting resistance.
where N is the running speed of the wheel, usually 42 times/min; d1 and d2 are the deformations of the asphalt mixtures at the running time t1 (45 min), t2 (60 min), mm; C1 and C2 are tested coefficients, C1 = C2 =1.0.

Uniaxial Penetration Test
According to JTG D50-2017 [34], a cylindrical specimen with a height of 100 mm and a diameter of 150 mm was used for the uniaxial penetration test.A loading bar with a height of 50 mm and a diameter of 42 mm was used.The test temperature was set at 60 °C.The schematic diagram of this test is shown in Figure 4b.The penetration stress (σP), penetration strength (RT), and penetration modulus (ES), calculated by Equations ( 2)-( 4), were used to assess the high-temperature deformation resistance of mixtures.(2) where P is the maximum load, N; A is the contact area, mm 2 ; fT is the penetration stress coefficient, with a value of 0.35; h is the penetration depth, mm; H is the height of test specimen, mm.

Dynamic Modulus Test
In order to explore the dynamic modulus of the basalt fiber-modified asphalt mixtures, five temperatures (−10 • C, 5 • C, 20 • C, 30 • C, and 50 • C) were selected for dynamic modulus test, in accordance with the Chinese specification of JTG E20-T0738 [33], along with six loading frequencies (0.1 Hz, 0.5 Hz, 1 Hz, 5 Hz, 10 Hz, and 25 Hz).The test equipment was carried out by the equipment of universal testing machine of UTM-25.The tests were conducted from low temperature to high temperature and from high frequency to low frequency.The stress control mode was adopted, and half sine load was applied to the specimen.In order to reduce the error, four duplicate test specimens in each group were fabricated in this test.Before the test, the specimens shall be kept in an environmental chamber at the target temperature for more than 4 h.The dynamic modulus (|E*|) and phase angle (φ) could be obtained by Equations ( 5) and (6), respectively.
where σ 0 (ε 0 ) is the maximum stress (strain); ω is the angular velocity; t i is the lag time of the deformation peak and the load peak; t p is the loading period.

Dynamic Creep Test
According to the method described in NCHRP 9-29 [35], the dynamic creep test was performed.The axial pressure was 0.7 Mpa, the contact pressure was 0.02 MPa, and the test temperature was 60 • C. In addition, half sine wave was used for repeated loading with loading time of 0.1 s and intermittent time of 0.9 s. Figure 5  with six loading frequencies (0.1 Hz, 0.5 Hz, 1 Hz, 5 Hz, 10 Hz, and 25 Hz).The test equipment was carried out by the equipment of universal testing machine of UTM-25.The tests were conducted from low temperature to high temperature and from high frequency to low frequency.The stress control mode was adopted, and half sine load was applied to the specimen.In order to reduce the error, four duplicate test specimens in each group were fabricated in this test.Before the test, the specimens shall be kept in an environmental chamber at the target temperature for more than 4 h.The dynamic modulus (|E*|) and phase angle (ϕ) could be obtained by Equations ( 5) and (6), respectively.* 0 0 sin( ) sin( ) where σ0 (ε0) is the maximum stress (strain); ω is the angular velocity; ti is the lag time of the deformation peak and the load peak; tp is the loading period.

Dynamic Creep Test
According to the method described in NCHRP 9-29 [35], the dynamic creep test was performed.The axial pressure was 0.7 Mpa, the contact pressure was 0.02 MPa, and the test temperature was 60 °C.In addition, half sine wave was used for repeated loading with loading time of 0.1 s and intermittent time of 0.9 s. Figure 5

Results of the Wheel Tracking Test
The results of dynamic stability from the wheel tracking test are shown in Figure 6. Figure 6 revealed that the dynamic stability values of all the asphalt mixtures decreased significantly at the higher test temperature of 70 °C, no matter whether basalt fiber was added or not.For instance, the DS values of AC-13 declined sharply from 3336 times/mm to 1308 times/mm by 60.8%, while SMA-13 and SUP-13 decreased from 5673 times/mm to

Results of the Wheel Tracking Test
The results of dynamic stability from the wheel tracking test are shown in Figure 6. Figure 6 revealed that the dynamic stability values of all the asphalt mixtures decreased significantly at the higher test temperature of 70 • C, no matter whether basalt fiber was added or not.For instance, the DS values of AC-13 declined sharply from 3336 times/mm to 1308 times/mm by 60.8%, while SMA-13 and SUP-13 decreased from 5673 times/mm to 3859 times/mm by 32.0%, and from 4215 times/mm to 2537 times/mm by 39.8%, respectively.Compared with the neat asphalt mixtures, the dynamic stability values of AC-13, SMA-13, and SUP-13 increased by 41.5%, 19.1%, and 25.4% at the test temperature of 60 • C, respectively, while increased by 113.0%, 40.2%, and 51.4%, respectively, at 70 • C.This phenomenon indicates that adding basalt fiber into asphalt mixtures can improve the high-temperature rutting resistance effectively, and the strengthening effect is more significant at a higher temperature.This is due to the fact that the three-dimensional spatial distribution of basalt fiber can restrict the movement of aggregates [19].Furthermore, in terms of the asphalt types, the DS value of AC-13 presented the highest increasing rate when adding basalt fiber.The reason may be that the original DS value of the neat sample AC-13 is small, so the percentage of improvement is relatively more obvious after the addition of basalt fiber.
3859 times/mm by 32.0%, and from 4215 times/mm to 2537 times/mm by 39.8%, respectively.Compared with the neat asphalt mixtures, the dynamic stability values of AC-13, SMA-13, and SUP-13 increased by 41.5%, 19.1%, and 25.4% at the test temperature of 60 °C, respectively, while increased by 113.0%, 40.2%, and 51.4%, respectively, at 70 °C.This phenomenon indicates that adding basalt fiber into asphalt mixtures can improve the high-temperature rutting resistance effectively, and the strengthening effect is more significant at a higher temperature.This is due to the fact that the three-dimensional spatial distribution of basalt fiber can restrict the movement of aggregates [19].Furthermore, in terms of the asphalt types, the DS value of AC-13 presented the highest increasing rate when adding basalt fiber.The reason may be that the original DS value of the neat sample AC-13 is small, so the percentage of improvement is relatively more obvious after the addition of basalt fiber.

Results of the Uniaxial Penetration Test
Figure 7 illustrates the results from the uniaxial penetration test.It could be found from Figure 7 that basalt fiber improved the shear stress resistance of asphalt mixtures effectively.And compared with neat asphalt mixtures, the penetration stress values of AC-13, SMA-13, and SUP-13 with basalt fiber increased from 2.63 MPa to 2.88 MPa by 9.5%, 3.48 MPa to 4.28 MPa by 23.0%, and 3.13 MPa to 3.63 MPa by 16.0%, while penetration strength values increased by 9.8%, 23.0%, and 15.5%, and penetration modulus values increased by 12.2%, 32.8%, and 26.3%, respectively.In addition, in terms of the asphalt types, it is noteworthy that SMA-13 with basalt fiber not only showed the best penetration strength but also presented the highest increasing rate.This is due to the fact that SMA gradation possesses a skeleton dense structure, and a three-dimensional network structure was formed by basalt fibers in asphalt mixtures, which controls binder drain down and improves the resistance to rutting [36].

Results of the Uniaxial Penetration Test
Figure 7 illustrates the results from the uniaxial penetration test.It could be found from Figure 7 that basalt fiber improved the shear stress resistance of asphalt mixtures effectively.And compared with neat asphalt mixtures, the penetration stress values of AC-13, SMA-13, and SUP-13 with basalt fiber increased from 2.63 MPa to 2.88 MPa by 9.5%, 3.48 MPa to 4.28 MPa by 23.0%, and 3.13 MPa to 3.63 MPa by 16.0%, while penetration strength values increased by 9.8%, 23.0%, and 15.5%, and penetration modulus values increased by 12.2%, 32.8%, and 26.3%, respectively.In addition, in terms of the asphalt types, it is noteworthy that SMA-13 with basalt fiber not only showed the best penetration strength but also presented the highest increasing rate.This is due to the fact that SMA gradation possesses a skeleton dense structure, and a three-dimensional network structure was formed by basalt fibers in asphalt mixtures, which controls binder drain down and improves the resistance to rutting [36].

Results of Dynamic Modulus
The master curves of dynamic modulus were constructed so as to predict the longterm mechanical properties of the asphalt mixture, which can not only represent the dynamic modulus values at various temperatures and loading frequencies but also avoid a large number of test processes.The sigmoidal model was adopted to construct dynamic modulus master curves.The fitting function was illustrated in Equation (7).Furthermore, the standard reference temperature was selected to be 20 • C.
where fr is the load frequency at the reference temperature; δ is the minimum of the dynamic modulus, and δ+α is the maximum of the dynamic modulus, namely Max; β, γ are the parameters describing the shape of the sigmoidal function.

Results of Dynamic Modulus
The master curves of dynamic modulus were constructed so as to predict the longterm mechanical properties of the asphalt mixture, which can not only represent the dynamic modulus values at various temperatures and loading frequencies but also avoid a large number of test processes.The sigmoidal model was adopted to construct dynamic modulus master curves.The fitting function was illustrated in Equation (7).Furthermore, the standard reference temperature was selected to be 20 °C.
where fr is the load frequency at the reference temperature; δ is the minimum of the dynamic modulus, and δ+α is the maximum of the dynamic modulus, namely Max; β, γ are the parameters describing the shape of the sigmoidal function.The dynamic modulus master curves of the six types of asphalt mixtures are illustrated in Figure 8.As seen from Figure 8, in the higher frequency section (corresponding to the low-temperature section), the dynamic modulus values of the same graded asphalt mixtures were relatively close, regardless of whether basalt fiber was added or not.The dynamic modulus master curves of the six types of asphalt mixtures are illustrated in Figure 8.As seen from Figure 8, in the higher frequency section (corresponding to the lowtemperature section), the dynamic modulus values of the same graded asphalt mixtures were relatively close, regardless of whether basalt fiber was added or not.However, significant differences in the dynamic modulus values could be observed in the lower frequency section (corresponding to the high-temperature section).The dynamic modulus values of asphalt mixtures with basalt fiber were much higher than that of neat asphalt mixtures without basalt fiber.Taking AC-13, for example, as shown in Figure 8a, at the reduced frequency of 10 −3 Hz, the dynamic modulus values with basalt fiber increased from 162.44 MPa to 358.41 MPa by 120.64%, compared with neat asphalt mixtures.It indicates that the addition of basalt fiber into asphalt mixtures can reduce not only the temperature sensitivity but also enhance the elastic recovery ability, which helps increase the high-temperature stability.This result may be attributed to the formation of a basalt fiber network in the mixtures, which plays a positive role in the reinforcement of the high-temperature deformation [37].Moreover, another possible reason could be that the basalt fibers can absorb free asphalt and increase the number of structural asphalts [20].
It indicates that the addition of basalt fiber into asphalt mixtures can reduce not only the temperature sensitivity but also enhance the elastic recovery ability, which helps increase the high-temperature stability.This result may be attributed to the formation of a basalt fiber network in the mixtures, which plays a positive role in the reinforcement of the hightemperature deformation [37].Moreover, another possible reason could be that the basalt fibers can absorb free asphalt and increase the number of structural asphalts [20].
In terms of mixture type, SMA-13 presented much higher dynamic modulus values than AC-13 and SUP-13 at all the test frequencies.The reason may be that the interlocking function of the coarse aggregates in SMA-13 is much more excellent than that of AC-13 and SUP-13 due to the skeleton structure, which is consistent with the findings from Chen's research [38].The dynamic modulus index (|E*|/sinϕ) was used to assess the anti-rutting performance, according to the recommendation in NCHRP's report [39] and Louay's study [40].In terms of mixture type, SMA-13 presented much higher dynamic modulus values than AC-13 and SUP-13 at all the test frequencies.The reason may be that the interlocking function of the coarse aggregates in SMA-13 is much more excellent than that of AC-13 and SUP-13 due to the skeleton structure, which is consistent with the findings from Chen's research [38].
The dynamic modulus index (|E*|/sinφ) was used to assess the anti-rutting performance, according to the recommendation in NCHRP's report [39] and Louay's study [40].The |E*|/sinφ results of all the asphalt mixtures at the temperature of 50 • C and the loading frequencies of 5 Hz and 10 Hz are summarized in Table 6.It could be drawn that in terms of the same mixture type, dynamic modulus indexes |E*|/sinφ increased significantly when BF was added.Taking the values under 5 Hz loading frequency as examples, compared with neat asphalt mixtures, the |E*|/sinφ values of AC-13, SMA-13, and SUP-13 with basalt fiber increased by 9.44%, 41.53%, and 37.63%, respectively.It also could be observed that SMA-13 showed the highest |E*|/sinφ values, no matter adding basalt fiber or not, indicating that SMA-13 possesses better rutting resistance.

Results of Dynamic Creep Test
The flow number and creep rate values from the dynamic creep test are presented in Figure 9.It could be observed that adding BF could positively enhance the dynamic creep resistance of asphalt mixtures.For instance, compared with neat asphalt mixtures, the flow number values of AC-13, SMA-13, and SUP-13 with basalt fiber increased by 39.1%, 59.2%, and 39.7%, respectively, while the creep rate values decreased by 12.0%, 35.2%, and 12.7%, respectively.It indicates that BF can efficiently delay the accumulated permanent deformation rate of asphalt mixtures.Furthermore, the enhancement effect of basalt fiber on SMA-13 was more significant than the other two types of mixtures, which is consistent with Mu's and Jomoor's [41,42] research results that SMA-13 bears a longer time to reach the Stage III of failure than AC-13 and SUP-13 due to its skeleton structure.
ing frequencies of 5 Hz and 10 Hz are summarized in Table 6.It could be drawn that in terms of the same mixture type, dynamic modulus indexes |E*|/sinϕ increased significantly when BF was added.Taking the values under 5 Hz loading frequency as examples, compared with neat asphalt mixtures, the |E*|/sinϕ values of AC-13, SMA-13, and SUP-13 with basalt fiber increased by 9.44%, 41.53%, and 37.63%, respectively.It also could be observed that SMA-13 showed the highest |E*|/sinϕ values, no matter adding basalt fiber or not, indicating that SMA-13 possesses better rutting resistance.

Results of Dynamic Creep Test
The flow number and creep rate values from the dynamic creep test are presented in Figure 9.It could be observed that adding BF could positively enhance the dynamic creep resistance of asphalt mixtures.For instance, compared with neat asphalt mixtures, the flow number values of AC-13, SMA-13, and SUP-13 with basalt fiber increased by 39.1%, 59.2%, and 39.7%, respectively, while the creep rate values decreased by 12.0%, 35.2%, and 12.7%, respectively.It indicates that BF can efficiently delay the accumulated permanent deformation rate of asphalt mixtures.Furthermore, the enhancement effect of basalt fiber on SMA-13 was more significant than the other two types of mixtures, which is consistent with Mu's and Jomoor's [41,42] research results that SMA-13 bears a longer time to reach the Stage Ⅲ of failure than AC-13 and SUP-13 due to its skeleton structure.

Comprehensive Analysis of High-Temperature Performance Parameters
It could be noticed that adding BF can effectively improve the high-temperature rutting resistance of mixtures, which has been proved by all the parameters from the abovementioned test methods.In order to further investigate the relationship among the different high-temperature performance parameters, dynamic stability (DS) from the wheel tracking test, penetration strength (RT) from the uniaxial penetration test, dynamic

Comprehensive Analysis of High-Temperature Performance Parameters
It could be noticed that adding BF can effectively improve the high-temperature rutting resistance of mixtures, which has been proved by all the parameters from the above-mentioned test methods.In order to further investigate the relationship among the different high-temperature performance parameters, dynamic stability (DS) from the wheel tracking test, penetration strength (R T ) from the uniaxial penetration test, dynamic modulus index (|E*|/sinφ, 50 • C/5 Hz) from dynamic modulus test and flow number (F n ) from dynamic creep test were selected.The correlations of dynamic stability versus penetration strength, dynamic modulus index, and flow number are plotted in Figure 10.over 0.97 at both test temperatures of 60 °C and 70 °C.
In brief, the approximate binomial relationships established above of different parameters can provide a certain basis for researchers to explore the high-temperature performance of asphalt mixtures with basalt fiber from different aspects.It is hoped that through this establishment, the wheel tracking test, which is a common method to test the high-temperature performance of asphalt mixture, can be used to predict the approximate values of other high-temperature performance indicators.It could be observed that approximate binomial relationships could be found between DS and the other three parameters.As shown in Figure 10a, when the wheel tracking test temperature was 60 • C, the correlation coefficients between DS and R T , DS and |E*|/sinφ, and DS and F n were 0.9013, 0.8632, and 0.9759, respectively.While the correlation coefficients increased up to 0.9565, 0.9261, and 0.9832, respectively, when the temperature was 70 In brief, the approximate binomial relationships established above of different parameters can provide a certain basis for researchers to explore the high-temperature performance of asphalt mixtures with basalt fiber from different aspects.It is hoped that through this establishment, the wheel tracking test, which is a common method to test the hightemperature performance of asphalt mixture, can be used to predict the approximate values of other high-temperature performance indicators.
presents the dynamic creep test process and the typical strain-loading time curve.The creep rate can be obtained from Stage II in Figure5b, while another index, flow number, is the corresponding loading time of the connection point of the curves between Stage II and Stage III.In this paper, creep rate and flow number were both used to evaluate the high-temperature deformation resistance of asphalt mixtures.Generally, a smaller value of flow number and a higher value of creep rate denote that the asphalt mixtures possess worse high-temperature deformation resistance and are prone to suffering creep failure.

Figure 5 .
Figure 5. Dynamic creep test illustration: (a) Dynamic creep test process; (b) Illustration of three stages.

Figure 5 .
Figure 5. Dynamic creep test illustration: (a) Dynamic creep test process; (b) Illustration of three stages.

Figure 6 .
Figure 6.Results of the wheel tracking test.

AC− 13 Figure 6 .
Figure 6.Results of the wheel tracking test.

Figure 7 .
Figure 7.The results of uniaxial penetration test: (a) Penetration stress results; (b) Penetration strength results; (c) Penetration modulus results.

Figure 9 .
Figure 9. Results of dynamic creep test: (a) The results of flow number; (b) The results of creep rate.

Figure 9 .
Figure 9. Results of dynamic creep test: (a) The results of flow number; (b) The results of creep rate.
• C during the wheel tracking test, as illustrated in Figure 10b.It means DS values from 70 • C possess better correlations with other parameters than those from 60 • C.Moreover, it could be drawn that DS and F n maintained good correlation coefficients over 0.97 at both test temperatures of 60 • C and 70 • C.

Table 1 .
The properties of BF.

Table 1 .
The properties of BF.

Table 2 .
The properties of LF.

Table 1 .
The properties of BF.

Table 2 .
The properties of LF.

Table 3 .
Physical properties of SBS-modified asphalt.

Table 3 .
Physical properties of SBS-modified asphalt.

Table 4 .
Fiber usage of asphalt mixtures.Fiber dosage refers to the percentage of the fiber mass to the total mixture mass.

Table 5 .
The results of Marshall test for different asphalt mixtures.

Table 4 .
Fiber usage of asphalt mixtures.
Note: Fiber dosage refers to the percentage of the fiber mass to the total mixture mass

Table 5 .
The results of Marshall test for different asphalt mixtures.