3.1. Coarse Aggregate Crushing Value
Table 2 and
Table 3 present the crushing value test results and the particle size distribution after crushing for the three types of rock coarse aggregates, respectively. The test results showed that the crushing value for slate was 9.2%, for basalt 11.4%, and for limestone 19.8%. It should be noted that basalt is considered the high-quality aggregate that has excellent crushing and wear resistance, while limestone is the most representative alkaline aggregate with moderate crushing resistance. Overall, slate had the lowest crushing value, outperforming traditional limestone and basalt, indicating that slate coarse aggregate possessed excellent resistance to crushing. After 21 days of immersion in water at 60 °C, the crushing value of slate was 10.2%; after high-temperature autoclaving, it was 10.6%; and after heating at 220 °C for 4 h, it was also 10.6%. Compared to the conventional crushing value, the effects of high-temperature water immersion, high-temperature autoclaving, and high-temperature heating on the crushing value of slate were minimal. Reference [
22] reported that the crushing values of basalt, steel slag, limestone, recycled aggregate, and marble aggregate were 9.6%, 16.8%, 20.2%, 22.6%, and 26.7% respectively. Compared with these aggregates, the slate used in this study exhibits a crushing value comparable to that of basalt and superior to those of the other aggregates.
The crushing value test used single-sized aggregates of 9.5–13.2 mm, while the aggregates showed significant crushing after the test. As shown in
Table 3, the crushing characteristics of the coarse aggregates were significantly related to their rock type. For example, the particle size distribution of limestone in the 9.5–13.2 mm range was 22.9%, indicating that nearly 77% of the 9.5–13.2 mm aggregate particles were crushed into smaller aggregates. In contrast, the distributions for basalt and slate in the 9.5–13.2 mm range were 46.4% and 44.8%, respectively, indicating that approximately 55% of the 9.5–13.2 mm aggregate particles were crushed into smaller aggregates. For other smaller particle size ranges, limestone consistently showed higher values than basalt and slate, while the particle size distributions for slate and basalt were generally similar. Slate did not exhibit excessive fragmentation issues due to its inherent bedding rock structure. After high-temperature water immersion, high-temperature autoclaving, and high-temperature heating, the particle size distribution of crushed slate aggregate showed little difference from that after conventional crushing test.
Overall, the used slate aggregate exhibited good water resistance and heat resistance. The low crushing value also indicated that its resistance to crushing was comparable to that of traditional basalt and superior to that of limestone aggregate. Furthermore, slate coarse aggregate demonstrated good thermal stability, with no severe strength degradation after high-temperature heating. It had good resistance to crushing during the high-temperature production and construction compaction of asphalt mixtures. All of these results on high crushing resistance and durability could have contributed to the lack of slaty cleavage structure, and the cryptocrystalline matrix prevented these bedding planes from evolving into mechanically weak parting surfaces.
3.2. Single-Particle Compression Crushing Strength
The crushing modes of individual aggregate particles were found to be diverse. Taking slate coarse aggregate as an example, typical load-displacement curve results are shown in
Figure 6. Overall, the crushing modes of individual particles can be categorized into three types: (1) Single-peak curve: In this crushing mode, the load-displacement curve has only one peak point. The coarse aggregate typically fractures into two pieces with neat fracture surfaces, producing very few fines or small fragments. (2) Double-peak curve: In this crushing mode, the load-displacement curve has two peak points. The main body of the coarse aggregate generally fractures into two pieces, generating a small amount of fines and small fragments. (3) Multi-peak curve: In this crushing mode, the load-displacement curve exhibits multiple peak points. The coarse aggregate usually fractures into multiple fragments, producing a large amount of fines and small fragments.
The statistical results of single-particle crushing modes for a total of 600 aggregate particles from three rock types including limestone, basalt, and slate, are presented in
Table 4. For limestone coarse aggregate, regardless of changes in particle size or the number of loading contact points, its load-displacement curves were predominantly characterized by the multi-peak crushing mode, accounting for nearly 50%. The proportions of the other two modes were both close to 26–28%.
For basalt coarse aggregate, during the single-particle two-point compression crushing test, the load-displacement curves were mainly characterized by the double-peak crushing mode, accounting for 40%. The other two modes each accounted for approximately 30%, and particle size had no significant effect on the crushing mode. During the single-particle four-point compression crushing test, the load-displacement curves were dominated by the multi-peak crushing mode. In the 4.75–9.5 mm range, it accounted for 40%, with the other two modes each at 30%. In the 9.5–13.2 mm range, the proportion of the multi-peak crushing mode slightly increased to 44%, while the other two modes each accounted for 28%.
For slate coarse aggregate, during the single-particle two-point crushing test, the load-displacement curves were primarily characterized by the double-peak crushing mode, accounting for about 45%, with the other two modes each around 28%. During the single-particle four-point compression crushing test, the double-peak and single-peak crushing modes were dominant, each accounting for about 40%, while the multi-peak crushing mode accounted for only 16% in both cases.
The presence of weak points on the surface of coarse aggregate particles can lead to poor contact, causing grinding or local fractures that occur before the main failure under load, thereby generating more fines and fragments.
To describe the distribution patterns of compressive crushing strength for the three types of aggregates, the Weibull theory was employed for analysis. Based on the Weibull distribution function, the survival probability of crushable particles is related to their crushing strength, which can be characterized by Equation (4) [
17]:
where
Ps is the survival probability of the particle, which can be calculated using Equation (5).
σf0 is the scale parameter, corresponding to the strength at a survival probability of 37%, serving as an important location parameter of the distribution for comparing strength levels of different materials. m is the Weibull modulus (shape parameter). It quantifies the degree of dispersion or reliability of the strength data. A higher m value indicates a more homogeneous material with less scattered strength properties (higher reliability), whereas a lower m value suggests greater inherent variability and defect distribution within the material, leading to less predictable strength.
where
n is the total number of test particles. Following conventions in particle crushing strength studies, 50 particles strike a good balance between statistical reliability and experimental effort, sufficient for Weibull distribution fitting. i is the rank of a particle’s crushing strength in the sequence after arranging all particles’ crushing strength data in descending order.
Figure 7 and
Figure 8 present the crushing strength test results for three types of aggregates with different particle sizes (4.75–9.5 mm and 9.5–13.2 mm) from the two-point crushing tests. In particular, the straight lines in
Figure 7b and
Figure 8b represent the linear fits to the data points, and their slopes correspond to the Weibull modulus. The results showed that the ranking of crushing strength among the three aggregates was consistent with that of the crushing values: slate exhibited the highest crushing strength, followed by basalt, with limestone showing the lowest. In terms of particle survival probability (
Ps), slate demonstrated the greatest variability in crushing strength, while basalt and limestone exhibited relatively smaller variations. The Weibull modulus and the characteristic crushing strength corresponding to a 37% survival probability for the different aggregates are listed in
Table 5. The fitted correlation coefficients (R
2) in
Table 5 were all greater than 0.98, indicating that the crushing strengths of particles for all three aggregate types followed a Weibull distribution. Overall, the characteristic crushing strength of slate (ranging from 39.77 MPa to 44.42 MPa) was higher than that of basalt (ranging from 20.43 MPa to 21.95 MPa) and limestone (ranging from 12.94 MPa to 17.00 MPa). As the particle size increased, the characteristic crushing strength of all three aggregates decreased. Additionally, the Weibull modulus (ranging from 2.04 to 2.79MPa) also decreased with increasing particle size, which can be attributed to the increase in internal defects within the aggregates as particle size grows, leading to a reduction in crushing strength and an increase in variability.
In terms of particle strength, Ref. [
24] conducted single-particle two-point crushing tests on slate particles with different shapes and sizes. The characteristic strength
σf0 for regularly shaped slate particles ranged from 11.70 to 34.05 MPa, and the Weibull modulus m ranged from 2.026 to 2.697. A similar trend of decreasing characteristic strength and Weibull modulus with increasing particle size was also observed. By comparison, the slate aggregate used in the present study demonstrated a high strength while exhibiting a comparable level of Weibull modulus.
Figure 9 and
Figure 10 present the results of four-point crushing tests for three types of aggregates with different particle sizes (4.75–9.5 mm and 9.5–13.2 mm), respectively. The results of the four-point crushing tests were similar to those of the two-point crushing tests. In the four-point crushing tests, In particular, the straight lines in
Figure 9b and
Figure 10b represent the linear fits to the data points, and their slopes correspond to the Weibull modulus. the characteristic crushing strength of slate aggregate was consistently higher than that of basalt and limestone aggregates, indicating that slate aggregate exhibited superior crushing strength compared to basalt and limestone.
Table 6 provides the Weibull modulus and the characteristic crushing strength corresponding to a 37% survival probability for the different aggregates. As the aggregate particle size increased from 4.75–9.5 mm to 9.5–13.2 mm, the characteristic compressive strength and Weibull modulus for the three types of aggregates in the four-point crushing tests showed minimal changes, indicating low sensitivity to variations in particle size.
The stress states and failure modes of aggregate particles differed between the two-point and four-point crushing tests. Compared to the two-point crushing test, the characteristic crushing strength in the four-point crushing test showed a significant decrease, with a reduction ranging from 20% to 40%, indicating that the stress conditions in the four-point crushing test were more demanding. Overall, the characteristic crushing strengths and Weibull modulus for the four-point crushing tests across different particle sizes were more similar, tending toward a certain value. This suggested that the four-point crushing test was more suitable for evaluating the crushing strength of aggregates with different particle sizes, as it reduced the influence of particle size. Additionally, whether in the two-point or four-point crushing tests, the Weibull modulus for the crushing strength of particles of different sizes for all three aggregates fail within the range of 2.0–3.0. This indicated a relatively dispersed distribution of aggregate crushing strength. The particle size and the number of contact points had a significant influence on the crushing strength.
A comparison of the Weibull modulus for these three types of aggregate (
Table 5 and
Table 6) revealed that the m values for slate generally ranged from 2.14 to 2.79 across different particle sizes and loading methods. This range partially overlapped with those of limestone (2.04–2.72) and basalt (2.43–2.53) but exhibited a broader variation. This indicated that the dispersion of single-particle crushing strength for slate was at a moderate level, yet its variability is more sensitive to different conditions, such as changes in particle size. A similar Weibull modulus indicates that the tested slate aggregate had a similar variability in the single-particle strength when compared with limestone and basalt.
3.3. Coarse Aggregate Compaction Crushing Test
Table 7 presents the results of the crushing resistance tests for single-sized coarse aggregates (9.5–13.2 mm) during compaction. After 75 blows on one side using the Marshall compactor, significant crushing was observed for all aggregate types. For instance, the particle size distribution of limestone aggregates in the 9.5–13.2 mm range was 65.8%, indicating that nearly 34% of the 9.5–13.2 mm aggregate particles were crushed into smaller aggregates. In contrast, the distributions for basalt and slate aggregates in the same size range were 80.6% and 81.0%, respectively, indicating that approximately 20% of the 9.5–13.2 mm aggregate particles were crushed into smaller aggregates. After 75 Marshall compaction blows, limestone aggregates exhibited higher proportions in all smaller particle size ranges compared to basalt and slate aggregates, while the particle size distributions of slate aggregates closely resembled those of basalt.
Compared to the Marshall compaction method, gyratory compaction is another common laboratory compaction method for asphalt mixtures. The gyratory compaction pressure is relatively lower than the Marshall compaction energy, which is reflected in its reduced crushing effect on aggregates. After 205 cycles of gyratory compaction, the particle size distributions of limestone, basalt, and slate aggregates in the 9.5–13.2 mm range were 89.3%, 96.4%, and 94.4%, respectively. This indicated that only about 5% to 10% of the 9.5–13.2 mm aggregate particles were crushed into smaller aggregates, with relatively minimal proportions in other smaller size ranges. These results suggested that the shearing action of gyratory compaction had a less destructive effect on aggregates, primarily causing wear and shearing of aggregate edges and corners. In contrast, Marshall compaction exerted a greater crushing effect, leading to a higher proportion of aggregates in the 4.75–9.5 mm range.
Overall, whether subjected to Marshall compaction or gyratory compaction, slate aggregates demonstrated excellent resistance to crushing. Their particle size distributions across different ranges closely resembled those of basalt, with no evidence of excessive damage due to the inherent bedding structure of slate.
Table 8 presents the results of the crushing resistance tests for mixed coarse aggregates under Marshall compaction and gyratory compaction. The mixed coarse aggregates were composed of three coarse aggregate sizes including 9.5–16 mm, 4.75–9.5 mm, and 2.36–4.75 mm, blended in specific proportions to simulate the skeletal structure formed by all coarse aggregates in asphalt mixtures. After 75 blows on one side using Marshall compaction or 205 cycles of gyratory compaction, the skeletal structures formed by the different coarse aggregates exhibited significant damage, leading to notable changes in their gradation and individual sieve residues. Before testing, the passing percentages of the different mixed aggregates through the 13.2 mm, 9.5 mm, 4.75 mm, and 2.36 mm sieves were 91.7%, 63.9%, 20.8%, and 0%, respectively. After testing, the passing percentages through these sieves increased significantly, with the effect of 75 blows on one side using Marshall compaction being noticeably greater than that of 205 cycles of gyratory compaction.
After 75 blows using Marshall compaction, the limestone mixed aggregates experienced a higher degree of crushing compared to the basalt and slate mixed aggregates, while the passing percentages of the slate mixed aggregates across different sieve sizes closely resembled those of the basalt mixed aggregates. After 205 cycles of gyratory compaction, the differences in passing percentages among the limestone, basalt, and slate mixed aggregates across various sieve sizes were relatively small. This further indicated that the shearing action of gyratory compaction had a less destructive effect on aggregates, whereas Marshall compaction was more demanding and better distinguished the crushing resistance of different aggregates.
Figure 11 presents the comparative analysis of the differences in individual sieve residues after the crushing of mixed aggregates. It was evident that the skeletal structures composed of different coarse aggregates experienced the most significant crushing in the 9.5–13.2 mm size fraction. For example, after Marshall compaction, the individual sieve residues of the limestone, basalt, and slate mixed aggregates decreased by 8.4%, 3.2%, and 4.9%, respectively. Subsequently, the limestone and basalt mixed aggregates also underwent considerable crushing in the 4.75–9.5 mm fraction, resulting in reductions of 1.7% and 3.6% in their individual sieve residues, respectively. In contrast, the slate mixed aggregates did not experience excessive crushing in the 4.75–9.5 mm fraction; instead, their individual sieve residue increased by 1.4%. Overall, the Marshall compaction process produced the highest amount of fine aggregates in the 1.18–2.36 mm range. For instance, the individual sieve residues of the limestone, basalt, and slate mixed aggregates increased by 3.9%, 2.1%, and 1.5%, respectively.
Compared to Marshall compaction, gyratory compaction had a similar effect on the limestone, basalt, and slate mixed aggregates, with the most significant crushing also occurring in the 9.5–13.2 mm coarse aggregate skeletal structure, and the highest production of fine aggregates in the 1.18–2.36 mm range. However, the magnitude of these changes was relatively smaller. For example, in the 9.5–13.2 mm range, the individual sieve residues of the limestone, basalt, and slate mixed aggregates decreased by 2.8%, 1.2%, and 1.7%, respectively, while in the 1.18–2.36 mm range, they increased by 2.3%, 0.9%, and 0.8%, respectively. This indicated that the damage to the skeletal structure was concentrated in the 9.5–13.2 mm aggregates.
Compared to limestone and basalt, the slate mixed aggregates showed a positive difference in individual sieve residue at the 4.75 mm sieve, indicating that the damage to the skeletal structure of slate coarse aggregates was concentrated only in the 9.5–13.2 mm fraction, demonstrating better skeletal resistance to crushing.
A comparison with the results of the earlier Marshall and gyratory compaction tests on single-sized 9.5–13.2 mm aggregates showed that, for single-sized aggregates, approximately 20% to 34% were crushed after Marshall compaction, while about 5% to 10% were crushed after gyratory compaction. For mixed aggregates, the proportion of crushed aggregates can be characterized by the sum of the differences in individual sieve residues for the three aggregate sizes (9.5–16 mm, 4.75–9.5 mm, and 2.36–4.75 mm). This yielded approximate crushing proportions of 3.0% to 8.0% after Marshall compaction and 1.2% to 4.5% after gyratory compaction. These results indicated that Marshall compaction caused a greater degree of crushing than gyratory compaction, and the skeletal structure formed by mixed aggregates exhibited better resistance to crushing than that of single-sized aggregates. Since Marshall compactors are widely used in laboratories, while gyratory compactors are primarily employed for research purposes, the Marshall compaction test on single-sized aggregates can serve as a rapid and effective method for evaluating the crushing resistance of coarse aggregates.
In the compaction tests on coarse aggregates (both single-size and blended gradation), although minor deviations existed among different replicate tests, the range of variation was normal and controllable, and the exhibited trends in gradation evolution were highly consistent. Comparisons with reference aggregates clearly show that under both Marshall impact and gyratory shear compaction, the degree of breakage and gradation curves of slate aggregate were very close to those of basalt aggregate. These results demonstrate, from the scale of a pure aggregate skeleton, that slate aggregate can form a stable skeletal structure under compaction energy simulating construction. Its relict bedding structure did not lead to abnormal or excessive breakage of the skeleton, indicating excellent resistance to compaction-induced crushing.
3.4. Asphalt Mixture Compaction Crushing Test
Table 9 presents the results of the crushing resistance tests for different asphalt mixtures under Marshall compaction and gyratory compaction. In these tests, all asphalt mixtures used the same gradation to ensure a consistent aggregate skeletal structure. After 75 blows on each side using Marshall compaction or 205 cycles of gyratory compaction, significant changes were observed in the gradation and individual sieve residues of the different asphalt mixtures. Before testing, the passing percentages of the different asphalt mixtures through the key sieve sizes of 9.5 mm, 4.75 mm, 2.36 mm, and 0.075 mm were 74.0%, 43.0%, 26.0%, and 5.8%, respectively. After testing, the passing percentages through these key sieve sizes increased noticeably, with the effect of 75 blows on each side using Marshall compaction being significantly greater than that of 205 cycles of gyratory compaction.
While minor deviations exist among the replicate test data in
Table 9, the overall trends indicated that the gradation changes of slate asphalt mixture after Marshall and gyratory compaction closely overlapped with the distribution range of basalt asphalt mixture. Their variation was distinctly different from the change curve of limestone asphalt mixture. This clear data distribution and evolution trend indicated that the compaction-induced breakage behavior of slate aggregate in asphalt mixtures is fairly consistent with that of basalt aggregate.
After 75 blows on each side using Marshall compaction, the limestone asphalt mixture experienced slightly more crushing compared to the basalt and slate asphalt mixtures, with increases in passing percentages across different sieve sizes ranging from 2% to 4%. In contrast, after 205 cycles of gyratory compaction, the differences in passing percentages among the limestone, basalt, and slate asphalt mixtures across various sieve sizes were minimal, all within 2%.
Figure 12 presents the comparative analysis of the differences in individual sieve residues among the different asphalt mixtures; it was evident that the effects of Marshall compaction and gyratory compaction on asphalt mixtures differed significantly. For example, Marshall compaction primarily caused the most significant crushing in the 9.5–13.2 mm aggregates, followed by the 1.18–2.36 mm aggregates. In contrast, gyratory compaction resulted in the most significant crushing in the 1.18–4.75 mm aggregates. In terms of the increase in individual sieve residues, Marshall compaction mainly led to an increase in fine materials within a broader range of 0.075–0.6 mm, while gyratory compaction primarily caused an increase in materials smaller than 0.075 mm (filler) and fine materials in the 0.6–1.18 mm range. This indicated that, under standard laboratory compaction conditions for asphalt mixtures, the destructive effects of Marshall compaction and gyratory compaction on aggregates were entirely different. The former primarily involved the crushing and refinement of coarse aggregates due to impact, while the latter mainly involved the grinding and shearing of 1.18–4.75 mm aggregates under rotational shear forces.
Based on a comparative analysis with the results of the crushing resistance tests on mixed aggregates under gyratory compaction, the findings described above were related to the fact that the asphalt mixture used limestone for the 0–2.36 mm fine aggregates, while basalt and slate, which are harder, were used for the coarse aggregates. The limestone fine aggregates filled the gaps in the skeletal structure formed by the basalt and slate coarse aggregates, making them more prone to breakage under compression and grinding. Overall, after adding asphalt binder, mineral filler, and fine aggregates, the degree of crushing of each type of aggregate in the asphalt mixture was significantly lower than that observed in the aforementioned mixed aggregates.
Similarly, the proportion of crushed coarse aggregate skeletal structure in the asphalt mixture can also be characterized by the sum of the residual differences for the three aggregate sizes: 9.5–16 mm, 4.75–9.5 mm, and 2.36–4.75 mm. Based on this, the proportion of aggregates crushed after Marshall compaction was approximately 2.5% to 4.7%, whereas after gyratory compaction was about 1.0% to 2.5%. These results further indicated that the degree of crushing caused by Marshall compaction was much greater than that caused by gyratory compaction, which can easily lead to internal structural damage in the specimen and affect its mechanical properties.
Whether under Marshall compaction or gyratory compaction, the resistance to crushing progressively improved from the skeletal structure formed by single-sized aggregates to that of mixed aggregates and further to the skeletal structure of asphalt mixtures. This also underscored that when designing asphalt mixtures with a high-skeletal structure, high-quality, crush-resistant aggregates should be selected, while excessive compaction that could cause aggregate breakage should be avoided. Slate asphalt mixtures demonstrated excellent resistance to crushing, comparable to basalt asphalt mixtures, which further confirms that the metamorphic bedding structure of slate did not lead to excessive aggregate crushing in its asphalt mixtures.
In the compaction tests on all asphalt mixtures, all results point to a clear trend that the degree of compaction-induced breakage in slate asphalt mixture was at the same level as that of basalt asphalt mixture and significantly lower than that of limestone asphalt mixture. This result further confirms, from the engineering scale of a complete asphalt mixture, that the internal structure of slate aggregate skeleton can withstand complex multi-directional stresses during actual mixture formation and compaction. No excessive breakage due to potential weak planes in slate aggregate occurred. It should be noted that an asphalt mixture is a multi-particle system where inter-particle interlocking is more sensitive to weaker particles, which are prone to be crushing under compaction. The compaction tests done on mixed aggregates and asphalt mixtures in this study showed that the tested slate aggregate did not exhibit excessive crushing in the stone skeleton, confirming the reliability of its overall performance at the engineering scale.