3.1.1. Texture Parameter Evolution Analysis
In contrast to the other three aggregates, manufactured sand is no longer included in comparative analyses of subsequent aggregates, given the clear evidence of abrasion in the ultra-thin layer. Moreover, the basalt wear layer is adopted to evaluate the effect of the evolution of different texture parameters on the anti-skid performance through correlation analysis.
Table 4 presents the coefficients of determination (R
2) between various texture parameters and the dynamic friction coefficient, among others. The R
2 value indicates the proportion of variance in one variable that is predictable from another variable, providing insights into the strength of their relationship.
When the coefficient of determination R
2 between the two parameters is less than 0.6 [
51], the two parameters describe different texture features. As can be seen from
Table 4, there are significant correlations between MPD and Ra, Rq, and Δq (R
2 > 0.8) and strong correlations between λa, λq, and MDE (R
2 > 0.6), indicating a similar characterization of the wear layer texture features by the above parameters. Therefore, only the most representative parameter, MPD, was selected, and the pavement friction coefficient regression model was constructed with the introduction of λ
a, R
sk, K
u, and SBI.
As shown in
Figure 6, among the five parameters of λa, Rsk, Ku, SBI, and MPD, there is no simple linear relationship between them, except for the obvious linear correlation between MPD and DFC. Therefore, the five texture parameters can be adopted to establish the skid-resistance decay model.
3.1.2. Decay Law of DFC
The morphological changes of rutted plates before and after wear with three different types of aggregates are shown in
Figure 7. The scanned area is two mutually perpendicular 40 mm × 100 mm rectangular areas on the wheel track.
- (1)
Effect of load on DFC decay
Basalt with a particle size of 2–4 mm was used to formulate 1.0 kg/m
2 of polyurethane binder for the abrasion test of the specimens. The test speed was 30 km/h, and the test loads were 250 N, 350 N, and 450 N. The DFC changes are shown in
Figure 7.
As shown in
Figure 8, the initial values of DFC are 0.044, 0.045, and 0.046 when the loads are 250 N, 350 N, and 450 N, respectively. After 14 h of wear, the DFC under the load of 450 N is the highest, and the DFC under 250 N is the lowest. With higher loads, the effective pressure of the tire on the wear layer surface is greater, increasing the frictional resistance of the tire.
- (2)
Effect of velocity on DFC decay
A polyurethane binder of 1.0 kg/m
2 was prepared using basalt with a particle size of 2–4 mm for the abrasion test of the specimens. The test speeds were 20 km/h, 30 km/h, and 40 km/h, and the test load was 250 N. The variation in the DFC is shown in
Figure 9.
As shown in
Figure 9, the initial values of DFC are 0.046, 0.044, and 0.040 at vehicle speeds of 20 km/h, 30 km/h, and 40 km/h, respectively. At the same load, the effective contact area between the tire and the wear ply becomes smaller as the vehicle speed increases. As a result, the frictional resistance suffered by the tire is smaller, lowering the measured value of DFC.
- (3)
Effect of Aggregate Type on DFC Decay
Basalt, ceramic, and adamantine, with a particle size of 2–4 mm, were used to prepare 1.0 kg/m
2 of polyurethane binder. The molded specimens were used for the abrasion test at a speed of 30 km/h and a load of 250 N. The variation in the DFC is shown in
Figure 10.
As shown in
Figure 9, the dynamic DFC initial values of basalt, ceramic particles, and diamond abrasive layer are 0.044, 0.031, and 0.048, respectively. Ceramic particles have the smoothest surface, and their prepared abrasive layer has the smallest frictional resistance to the tire during friction with the tire. The diamond surface is the roughest, followed by basalt, which is prepared with similar initial and final values of DFC for the abrasive layer.
- (4)
Effect of aggregate particle size on DFC decay
Basalt with particle sizes of 1–2 mm and 2–4 mm was used as wear-resistant aggregate and 1.0 kg/m
2 of polyurethane cement was prepared. Wear tests were conducted on molded basalt specimens at a test speed of 30 km/h and a test load of 250 N. The changes in the DFC during the whole test are shown in
Figure 11.
The DFC reduction in the abrasive layer with 1–2 mm and 2–4 mm particle size is 13.9% and 19.9%, respectively. With the same amount of binder, the small and medium grain-sized aggregates in the wear layer can be better encapsulated, losing the surface macrostructure and reducing the skid resistance.
- (5)
Aggregate quality loss analysis of the wear layer
There are differences in the mass loss rate of the aggregate in the abrasive layer under different single-factor conditions. The total mass loss rate (ω) and stage mass loss rate (σ) of aggregates were analyzed with speed as a variable. The results are shown in
Table 5 and
Figure 12.
where
ω—the total quality loss rate, %;
m0—the specimen quality without wear and tear, g;
m1—the quality of specimens after abrasion at different abrasion times, g;
mi, mi+1—the masses of the specimens before and after the adjacent abrasion time, respectively, g;
m2—the wear layer’s original quality, g.
Figure 12.
Wear layer appearance after different abrasion times. Note: all the scanned areas are two mutually perpendicular 40 mm × 100 mm rectangular areas on the wheel track.
Figure 12.
Wear layer appearance after different abrasion times. Note: all the scanned areas are two mutually perpendicular 40 mm × 100 mm rectangular areas on the wheel track.
Table 5.
Aggregate mass loss rate under velocity variables.
Table 5.
Aggregate mass loss rate under velocity variables.
Abrasion Time/h | 20 km/h, 250 N | 30 km/h, 250 N | 40 km/h, 250 N |
---|
ω/% | σ/% | ω/% | σ/% | ω/% | σ/% |
---|
0.5 | - | | | | | |
1 | 2.68 | 0.93 | 2.92 | 1.01 | 3.78 | 1.55 |
2 | 3.37 | 0.7 | 3.67 | 0.75 | 4.79 | 1.01 |
4 | 3.73 | 0.36 | 4.23 | 0.56 | 5.32 | 0.53 |
6 | 4.08 | 0.34 | 4.80 | 0.56 | 5.86 | 0.54 |
8 | 4.38 | 0.31 | 5.00 | 0.20 | 6.18 | 0.33 |
10 | 4.59 | 0.21 | 5.21 | 0.20 | 6.56 | 0.38 |
12 | 4.8 | 0.21 | 5.35 | 0.15 | 6.73 | 0.17 |
14 | 4.96 | 0.15 | 5.48 | 0.13 | 6.85 | 0.12 |
Table 5 shows that the relationship between the size of the aggregate mass loss rate under the action of three speeds is 40 km/h > 30 km/h > 20 km/h under the same wear time. The analysis shows that the faster the speed, the more times the same location is subjected to the action per unit of time, and the greater the probability of aggregate spalling.
3.1.3. Skid Resistance and Its Decay Analysis
- (1)
Analysis of the anti-skid decay process
From the above study, it can be seen that the decay of the DFC of a polyurethane ultra-thin wear layer under different working conditions has some differences, but the overall decay curve can be roughly divided into a fast decay zone, a slow decay zone, and a decay stability zone.
The rapid decay stage is dominated by the continuous spalling of loose aggregate on the surface of the wear-resistant layer. The friction force on the loose aggregate is greater than its bonding force with the binder. The aggregate will spall off one after another, and the DFC decreases faster. The slow decay stage is mainly dominated by the wear and abrasion of the aggregate surface. The results indicate that the loose aggregate on the surface of the wear layer has been basically stripped. When the aggregate stripping and abrasion reach a certain degree, the skid resistance of the abrasive layer decays into a stable stage.
- (2)
Anti-skid decay model based on texture evolution of the road surface
In this paper, the DFC, with an operating speed of 30 km/h measured by a TDFA, was used as the research object, and 250 sets of asphalt pavement texture-characterization data and dynamic friction skid-resistance data were collected to establish the skid-resistance attenuation model based on the evolution of the pavement texture. A multivariate linear stepwise regression analysis was conducted with five parameters, namely MPD, λa, Rsk, Ku, and SBI, as independent variables and with DFC as a dependent variable. The coefficient of determination R2 of the optimal regression equation is 0.708, but only the MPD is utilized. No other parameters are not involved. Therefore, the regression of the multivariate quadratic polynomial model will be performed using SAS analysis software.
For subsequent analysis, the five selected independent variables are combined into a synthetic matrix, denoted as M = [MPD λa Rsk Ku SBI], and the expression for the multiple quadratic polynomial regression model can be set as Equation (5).
where DFC is the dynamic friction coefficient, A is the quadratic term coefficient matrix, B is the primary term coefficient matrix, C is the constant term, and T is the matrix transpose.
The model coefficient of determination R
2 of 0.82 was obtained by multivariate quadratic polynomial regression with five parameters, including MPD, and the results of the factor significance test are shown in
Table 6.
Table 6 shows that the probability P of the F-test of the five independent variables is greater than the significance level of 0.05, indicating that the five parameters mentioned above have poor significance levels as model parameters for factorial regression. There are still non-significant terms and non-significant factors in the regression model, indicating that the decay of the anti-skid performance of the polyurethane wear layer cannot be reasonably described by only using the road surface texture as the indicator.
Aggregate spalling can affect abrasive layer pavement texture. The mass loss rate (σ) of the aggregate stage of the wear layer and the total mass loss rate (ω) of the aggregate stage during the test will be introduced as new independent variables, denoted as M1 = [X1 X2 X3 σ ω], where X1, X2, and X3 are taken from M, and the terms in M can be crossed and combined. After several binomial fitting analyses, all aspects of the model are satisfied when M1 = [MPD λa SBI σ ω], and the parameters A, B, and C are shown in Equation (6).
As shown in
Table 7, the coefficient of determination R
2 of the model is 0.9890, the
p-values of the linear term, the quadratic term, and the total model F-test are all
p < 0.0001, the
p-value of the interaction term is 0.0488, and the
p-values of all four terms are below the significant level of 0.05. The results indicate that there is a significant quadratic polynomial relationship between the explanatory variables and the explained variables in the model. To further confirm the significance of the model, each of the five factors of the model was tested and analyzed.
Table 8 shows that the
p-values of the five-factor F-tests for MPD, λa, SBI, σ, and ω are less than the significance level of 0.05. The results indicate that the regression coefficients of the factors are significant. The SAS regression results indicate that the attenuation of the texture parameter of the road surface alone does not well-characterize the decay of the skid resistance of the polyurethane wear layer. Furthermore, the aggregate stage mass loss rate (σ) and total stage mass loss rate (ω) were introduced as factors to form a synthetic matrix M1 with MPD, λa, and SBI. The coefficients of determination and the significance of factors of the fitted quadratic polynomial model meet the requirements, indicating that the relevant indexes can accurately describe the decay of the skid resistance of the abrasive layer.