Energy feature-based recycled asphalt mixture proportioning method and system

Abstract

This specification discloses a method and system for proportioning recycled asphalt mixtures based on energy characteristics. The proportioning method includes: obtaining the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters according to the set dosage of the recycled asphalt mixture; preparing multiple sets of recycled asphalt mixture specimens with different parameter combinations based on the value ranges; conducting low-temperature performance, water stability performance, and fatigue performance tests on each set of recycled asphalt mixture specimens to obtain their respective performance response results; performing energy characterization based on the performance response results to obtain their respective energy state vectors; and obtaining the recommended value ranges for the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters based on the energy state vectors. This invention reveals the intrinsic mechanism of multi-performance synergistic optimization of recycled asphalt mixtures through energy coupling analysis, avoiding proportioning design deviations and providing a new technical path for the mix design of recycled asphalt mixtures.

Description

Technical Field

[0001] Several embodiments in this specification relate to the field of asphalt pavement materials technology, specifically to the optimization of the proportion of recycled asphalt mixtures with multi-performance balance. Background Technology

[0002] With the continuous advancement of highway maintenance and reconstruction projects, the resource utilization of reclaimed asphalt pavement (RAP) has become an important development direction in the highway engineering field. Reclaimed asphalt pavement restores the performance of aged asphalt in waste asphalt pavement materials by introducing recycling agents, offering significant advantages in reducing project costs and resource consumption. However, due to the structural differences and interface complexity between aged asphalt and new aggregates / asphalt in RAP, reclaimed asphalt pavement often exhibits significant imbalances in low-temperature crack resistance, fatigue durability, and water stability.

[0003] Existing design methods for recycled asphalt mixtures are mostly based on volumetric parameters or single mechanical performance indicators, such as determining the asphalt-aggregate ratio and recycling agent dosage through indicators like low-temperature strength, fatigue life, or water-stable strength ratio. While these methods have some applicability in engineering practice, they generally suffer from the following shortcomings: First, the physical meanings and stress conditions corresponding to different performance indicators vary significantly, making it difficult to reflect the intrinsic connections between various failure modes of recycled asphalt mixtures during service. Second, design methods dominated by single performance indicators can easily lead to significant deterioration of other properties while meeting certain performance requirements, thus affecting the overall service performance of the pavement. Third, some indicators are highly sensitive to recycling agent dosage and asphalt-aggregate ratio, making it difficult to distinguish between the true restoration of material structure and the apparent softening effect. Summary of the Invention

[0004] This specification provides a method and system for proportioning recycled asphalt mixtures based on energy characteristics. It uses energy characteristics under different working conditions as a unified characterization basis and achieves synergistic optimization of multiple properties of recycled asphalt mixtures by analyzing their energy release modes under different service conditions.

[0005] The technical solution is as follows:

[0006] Firstly, the embodiments of this specification provide a method for proportioning recycled asphalt mixtures based on energy characteristics, including the following steps:

[0007] The range of values ​​for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained based on the set dosage of the recycled asphalt mixture.

[0008] Multiple sets of recycled asphalt mixture specimens with different parameter combinations were prepared based on the respective value ranges of the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters.

[0009] Low-temperature performance, water stability and fatigue performance of each group of recycled asphalt mixture specimens were tested to obtain their respective performance response results.

[0010] Energy characterization was performed on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors.

[0011] Based on the energy state vector corresponding to each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained.

[0012] As a preferred embodiment, the step of obtaining recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters based on the energy state vector corresponding to each group of recycled asphalt mixture specimens includes:

[0013] Obtain the reference energy state vector of the original asphalt mixture;

[0014] Based on the reference energy state vector of the original asphalt mixture and the energy state vector of each group of recycled asphalt mixture specimens, the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens are obtained.

[0015] Based on the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained.

[0016] As a preferred embodiment, the low-temperature performance test is performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0017] Low-temperature fracture tests were conducted on each group of recycled asphalt mixture specimens to obtain the load-displacement response curves of the recycled asphalt mixture under low-temperature conditions. These curves served as the performance response results for characterizing the crack resistance of the recycled asphalt mixture under low-temperature instantaneous loading conditions.

[0018] As a preferred embodiment, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0019] Energy characterization was performed on the load-displacement response curves and fracture ligament areas of each recycled asphalt mixture specimen to obtain their respective energy state vectors, including low-temperature fracture energy.

[0020] As a preferred embodiment, the water stability performance test is performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0021] Fracture tests were conducted on each group of recycled asphalt mixture specimens under dry and wet conditions to obtain the mechanical response of the recycled asphalt mixture before and after the action of water environment. These results were used to characterize the performance response of the recycled asphalt mixture to represent the impact of water damage on the structural integrity of the recycled asphalt mixture.

[0022] As a preferred embodiment, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0023] Energy characterization was performed on each group of recycled asphalt mixture specimens based on their respective low-temperature fracture energy and mechanical response before and after exposure to water, resulting in their respective energy state vectors, including the effective wet fracture energy.

[0024] As a preferred embodiment, fatigue performance tests are performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0025] Fatigue loading tests were conducted on each group of recycled asphalt mixture specimens to obtain the stress-strain response curves and fatigue failure cycles of the recycled asphalt mixture under cyclic loading, which were used as the corresponding performance response results to characterize the fatigue resistance of the recycled asphalt mixture.

[0026] As a preferred embodiment, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0027] Energy characterization was performed on the stress-strain response curves and fatigue failure cycles of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including the fatigue cumulative dissipated strain energy density.

[0028] As a preferred embodiment, the energy characterization based on the stress-strain response curve and fatigue failure cycle number corresponding to each group of recycled asphalt mixture specimens includes:

[0029] The mean stress-strain hysteresis loop area of ​​each group of recycled asphalt mixture specimens during the stable phase of the test was obtained based on their respective stress-strain response curves.

[0030] Energy characterization was performed based on the mean stress-strain hysteresis loop area and the number of fatigue failure cycles for each group of recycled asphalt mixture specimens.

[0031] Secondly, the embodiments of this specification provide a recycled asphalt mixture proportioning system based on energy characteristics, including an experimental parameter generation unit, an experimental data processing unit, and an experimental conclusion output unit:

[0032] The experimental parameter generation unit obtains the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters according to the set dosage of the input recycled asphalt mixture; and generates multiple sets of different parameter combinations based on the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters.

[0033] The experimental data processing unit acquires the performance response results of each group of recycled asphalt mixture specimens after low-temperature performance, water stability performance and fatigue performance tests. Multiple groups of recycled asphalt mixture specimens correspond one-to-one with multiple parameter combinations. Based on the performance response results of each group of recycled asphalt mixture specimens, energy characterization is performed to obtain their respective energy state vectors.

[0034] The experimental conclusion output unit obtains the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters based on the energy state vector corresponding to each group of recycled asphalt mixture specimens.

[0035] Thirdly, embodiments of this specification provide an electronic device, including a processor and a memory; the processor is connected to the memory; the memory is used to store executable program code; the processor reads the executable program code stored in the memory to run a program corresponding to the executable program code, so as to perform the steps described in the first aspect of the above embodiments.

[0036] Fourthly, embodiments of this specification provide a computer storage medium storing a plurality of instructions adapted for loading by a processor and executing the steps described in the first aspect of the above embodiments.

[0037] The beneficial effects of the technical solutions provided in some embodiments of this specification include at least the following:

[0038] 1. This paper proposes a multi-performance synergistic design method for recycled asphalt mixtures based on energy state vector and energy coupling analysis. From a structural energy perspective, this invention characterizes the performance of recycled asphalt mixtures under low-temperature fracture, cyclic fatigue, and water damage conditions into three energy indices: low-temperature fracture energy, fatigue cumulative dissipated strain energy density, and wet-state effective fracture energy, and constructs an energy state vector. Furthermore, it introduces energy coupling level and energy carrying capacity level to synergistically analyze the changes in multiple performance characteristics. This method can quantitatively identify the synergistic relationship between multiple performance characteristics under different design parameters, avoiding design deviations caused by traditional single performance indices or empirical methods.

[0039] 2. This invention achieves scientific synergistic optimization of the asphalt-aggregate ratio and the amount of recycling agent, improving the overall service performance of recycled asphalt mixtures. Through comprehensive assessment of energy coupling level and energy carrying capacity, this invention can determine reasonable value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters under different RAP dosages and mixture structures, enabling synergistic optimization of the low-temperature, fatigue, and water stability performance of recycled asphalt mixtures. The overall energy carrying capacity of recycled asphalt mixtures designed using this invention is close to or reaches that of undisturbed asphalt mixtures or design reference mixtures, effectively improving the durability and engineering applicability of recycled asphalt mixtures. Attached Figure Description

[0040] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0041] Figure 1 This is a schematic flowchart of a method for proportioning recycled asphalt mixtures based on energy characteristics, provided in the embodiments of this specification.

[0042] Figure 2 This is a schematic diagram of the stress-strain response curve, showing the area enclosed by each hysteresis loop and the stress-strain hysteresis loop.

[0043] Figure 3 This is a schematic diagram of a recycled asphalt mixture proportioning system based on energy characteristics, provided in the embodiments of this specification.

[0044] Figure 4 This is a schematic diagram of the structure of an electronic device provided in the embodiments of this specification. Detailed Implementation

[0045] The technical solutions in the embodiments of this specification will be clearly and completely described below with reference to the accompanying drawings.

[0046] The terms "first," "second," "third," etc., in the description, claims, and accompanying drawings are used to distinguish different objects, not to describe a specific order. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or apparatus that includes a series of steps or units is not limited to the listed steps or units, but may optionally include steps or units not listed, or may optionally include other steps or units inherent to such processes, methods, products, or apparatus.

[0047] The following description provides examples and does not limit the scope, applicability, or examples set forth in the claims. Changes may be made to the function and arrangement of the described elements without departing from the scope of this specification. Various processes or components may be appropriately omitted, substituted, or added to the examples. For example, the described methods may be performed in a different order than described, and various steps may be added, omitted, or combined. Furthermore, features described with respect to some examples may be combined into other examples.

[0048] Reference Figure 1 As shown, Figure 1 A flowchart illustrating a method for proportioning recycled asphalt mixtures based on energy characteristics, provided as an embodiment of this specification, may include at least the following steps:

[0049] Step 102: Obtain the value ranges of the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters according to the set dosage of the recycled asphalt mixture;

[0050] Step 104: Prepare multiple sets of recycled asphalt mixture specimens with different parameter combinations based on the respective value ranges of the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters;

[0051] Step 106: Conduct low-temperature performance, water stability and fatigue performance tests on each group of recycled asphalt mixture specimens to obtain their respective performance response results;

[0052] Step 108: Based on the performance response results of each group of recycled asphalt mixture specimens, perform energy characterization to obtain their respective energy state vectors;

[0053] Step 110: Based on the energy state vector corresponding to each group of recycled asphalt mixture specimens, obtain the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters.

[0054] In illustrative terms, recycled asphalt mixtures (RAPs) include old asphalt material, new asphalt binder, new aggregates, and recycling agents. The dosage of recycled asphalt mixtures refers to the percentage of recycled old asphalt material in the total mass of the mixture. The asphalt-aggregate ratio is the percentage of asphalt mass to aggregate mass in asphalt concrete. Asphalt acts as a binder for aggregates; its dosage determines the degree of filling and binding between aggregates, affecting overall flexibility and density. Recycling agents specifically target the aged old asphalt material in RAPs, restoring its properties and influencing the quality of the binder after the fusion of old and new asphalt. Grading parameters are indicators used to control the proportion of aggregate particles at each grade, determining the packing structure and void characteristics of the aggregate particles, and are the main load-bearing components. Recycling agents and the asphalt-aggregate ratio have overlapping "softening effects," both reducing the stiffness of the mixture; excessive overlap should be avoided to prevent high-temperature performance degradation. When the recycling agent dosage is high, the asphalt-aggregate ratio should be appropriately reduced. There is a contradiction between gradation and asphalt-aggregate ratio in terms of "void filling": dense gradation requires less asphalt to fill the voids, while open gradation requires more. If gradation adjustments cause changes in voids, the asphalt-aggregate ratio must be adjusted accordingly to avoid excessive dryness or softness. There is also a difference in "interfacial interaction" between gradation and recycling agents: recycling agents primarily act on aged asphalt in RAP, while gradation affects the distribution of new and old aggregates. In discontinuous gradation (such as SMA), the coarse aggregates of RAP directly contact to form the main skeleton, and the recycling agent has a more significant impact on the stability of the skeleton. Therefore, the physical meanings and stress conditions corresponding to different performance indicators vary greatly, making it difficult to reflect the intrinsic connections between various failure modes of recycled asphalt mixtures during service. Existing design methods dominated by single performance indicators easily lead to significant degradation of other properties of recycled asphalt mixtures while meeting certain performance requirements, thus affecting the overall service performance of the pavement. Some indicators are highly sensitive to the amount of recycling agent and the asphalt-aggregate ratio, making it difficult to distinguish between the true restoration of material structure and the apparent softening effect.

[0055] The core of this embodiment lies in characterizing the multi-dimensional properties of recycled asphalt mixtures through unified energy features and achieving synergistic optimization of mix proportion parameters based on system experiments. This method first requires setting the experimental ranges for three key variables—asphalt-aggregate ratio, recycling agent dosage, and gradation parameters—based on a predetermined RAP (recycling agent) content. By preparing multiple sets of specimens with different parameter combinations and conducting system performance tests, the test results are transformed into energy state vectors. Finally, based on vector analysis, the recommended parameter range that achieves synergistic optimization of low-temperature, fatigue, and water stability performance is determined. This method overcomes the limitations of traditional designs based on single performance indicators or volume parameters, solving multiple technical challenges in balancing performance at the level of material energy response mechanisms.

[0056] It should be noted that, from the perspective of material service mechanisms, although the failure processes experienced by recycled asphalt mixtures under different working conditions such as low temperature, fatigue, and water damage manifest differently, they can all be essentially attributed to the process of the material's internal structure bearing, distributing, and releasing external energy. Fracture failure under low temperature conditions reflects the structure's energy absorption capacity under instantaneous energy input; fatigue damage under cyclic loading reflects the structure's ability to dissipate and accumulate repeated energy input; and performance degradation under water damage conditions reflects the degree to which the structure's energy-bearing capacity is preserved after interface weakening. Therefore, although the above-mentioned different performance indicators are not necessarily correlated at the numerical level, they have an inherent consistency at the level of structural energy release paths and failure mechanisms.

[0057] Explainingly, the RAP (Rich Asphalt Additive) content directly determines the proportion of aged asphalt introduced into the mixture system, the compensation requirements of new asphalt and recycling agents, and the constraints of gradation design. Excessive content (e.g., >40%) results in more hardened and brittle aged asphalt in the mixture, significantly increasing the difficulty of performance control, while insufficient content (e.g., <20%) weakens resource utilization benefits. Therefore, it needs to be determined comprehensively based on engineering requirements, RAP raw material quality, and target pavement layer position. For example, a higher content of 30%-50% can be used for the lower layer, while a conservative content of 10%-30% is advisable for the upper layer. This step sets clear material boundary conditions for subsequent parameter optimization.

[0058] After determining the RAP content, a reasonable range needs to be set for the asphalt-aggregate ratio, recycling agent content, and gradation parameters. The setting of these ranges should follow three principles: first, comply with specifications (e.g., the recommended range for the asphalt-aggregate ratio of AC-20 mixtures is 3.0%-4.5%); second, consider material interactions (e.g., the recycling agent content is usually set at 3%-9% of the aged asphalt mass in the RAP); and third, retain optimization space (e.g., adjusting the passing rate of key sieves within the standard gradation range). Orthogonal experimental design can scientifically arrange parameter combinations; for example, using a three-factor, three-level orthogonal array requires only nine sets of experiments to effectively explore the interaction effects of parameters, significantly improving experimental efficiency.

[0059] Recycled asphalt mixture specimens were prepared according to multiple designed parameter combinations. Each set of specimens underwent three tests: low-temperature, fatigue, and water stability. The fracture energy (Ef) obtained through the low-temperature fracture test was... LT The instantaneous energy absorption capacity is characterized by the cumulative energy dissipation (E) measured during fatigue testing. FA The ability to dissipate cyclic energy is characterized by wet effective fracture energy (E). MO These three energy indices characterize the energy retention capacity after interface weakening. They correspond to the failure mechanisms of materials under different service conditions, and their vector form is E=[E LT E FA EMO This method can uniformly characterize the structural energy characteristics of materials. It reveals the intrinsic correlation between performance indicators and lays the theoretical foundation for multi-performance synergistic analysis.

[0060] Finally, based on the energy state vectors of multiple sets of recycled asphalt mixture specimens, and combining quantitative analysis and mechanistic judgment, recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are determined. Multi-objective optimization techniques can be employed, such as: first, identifying high-performance parameter clusters through cluster analysis; then, establishing the mapping relationship between parameters and energy indices using a response surface model; and finally, using the Pareto front to find the optimal parameter set for the three energy indices. Quantifying parameter sensitivity ensures that the recommended ranges meet all performance requirements.

[0061] It is particularly important to emphasize that there is a significant interaction between the oil-aggregate ratio, regenerator dosage, and gradation parameters. Both the oil-aggregate ratio and the regenerator have a softening effect, and when both are simultaneously high, high-temperature stability is easily deteriorated. Furthermore, the gradation type determines the skeleton structure characteristics; dense gradations (such as AC) are sensitive to changes in the oil-aggregate ratio, while discontinuous gradations (such as SMA) rely more on the interface repair effect of the regenerator on the RAP skeleton. Therefore, parameter optimization is essentially about finding the optimal solution under multiple constraints. This method effectively coordinates these interactions through energy vector analysis, ultimately achieving a unified performance objective of "strength-durability-stability".

[0062] In one embodiment of this specification, obtaining the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters based on the energy state vector corresponding to each group of recycled asphalt mixture specimens includes:

[0063] Obtain the reference energy state vector of the original asphalt mixture;

[0064] Based on the reference energy state vector of the original asphalt mixture and the energy state vector of each group of recycled asphalt mixture specimens, the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens are obtained.

[0065] Based on the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained.

[0066] Explanatoryly, undisturbed asphalt mixtures, also known as reference mixtures or benchmark mixtures, refer to asphalt mixtures that contain no waste asphalt pavement materials, are entirely composed of new aggregates and new asphalt, and have not undergone any aging treatment, exhibiting excellent performance. This embodiment introduces undisturbed asphalt mixtures as a benchmark system for performance evaluation. The undisturbed asphalt mixture must be prepared using new aggregates and new asphalt with the same gradation type as the target recycled asphalt mixture, and its mix proportion should be verified by engineering to demonstrate excellent road performance. By conducting low-temperature, fatigue, and water stability performance tests on this benchmark mixture that are completely consistent with this scheme, its reference energy state vector E0=[E LT0 E FA0 E MO0 This vector characterizes the energy response of the mixture under multiple working conditions, including instantaneous fracture, cyclic loading, and water damage, under ideal material conditions, providing a clear quantitative target for optimizing the performance of recycled asphalt mixtures.

[0067] Interpretive methods are employed to approximate the performance of recycled asphalt mixtures as closely as possible to that of virgin asphalt mixtures by incorporating recycled materials and adding recycling agents. The energy state vector E of each group is compared with the reference energy state vector E0 to calculate the energy coupling level and energy carrying capacity of that group.

[0068]

[0069] Where E·E0 is the dot product of two energy state vectors; ||E|| and ||E0|| are the Euclidean norms of the corresponding energy state vectors, respectively.

[0070] The closer the C value is to 1, the more consistent the synergistic variation of the three energy indicators of the recycled asphalt mixture is with the baseline mixture, and the more balanced its internal performance structure. The energy carrying capacity of the recycled asphalt mixture is quantified by the amplitude ratio M value:

[0071]

[0072] The M-value reflects the degree to which the overall energy carrying capacity of recycled asphalt mixtures recovers relative to the benchmark level. The closer the M-value is to 1, the better the overall performance level of the recycled asphalt mixture has recovered to the level of the reference mixture. These two indicators construct a complete evaluation system from the two dimensions of "performance coordination" and "absolute performance value," overcoming the shortcomings of traditional methods where a single indicator cannot reflect the constraints between performance components.

[0073] By preparing multiple sets of specimens with different design parameters, their energy state vectors, C-values, and M-values ​​were calculated and plotted on a CM relationship diagram. The range of oil-aggregate ratios and regenerator dosages corresponding to parameter combinations that simultaneously fall into the "high C-value" and "high M-value" regions are the finally determined "recommended value ranges".

[0074] For example, a hierarchical optimization strategy can be adopted to determine the recommended value range. First, a preferred region is delineated in the CM relationship diagram (e.g., the upper right quadrant consisting of C≥0.95 and M≥0.90), and test groups that simultaneously meet the coordination requirements and performance levels are selected. Then, a mathematical correlation model is established through parameter response analysis. For example, it can be found that the oil-aggregate ratio and the M value often have a parabolic relationship, while the regenerator dosage is closely related to the C value. Finally, the recommended range should be the overlapping range of the parameter distribution of the preferred test groups, and the boundary values ​​should be adjusted in combination with engineering experience. This range determination method based on dual-index constraints can effectively avoid optimization deviations caused by differences in parameter sensitivity.

[0075] When a mismatch occurs between the C and M values, for high-C, low-M specimens, it indicates that the direction of material property changes is correct and coordinated, but the overall energy level is insufficient. The optimization direction should be to appropriately increase the oil-aggregate ratio or the amount of regenerator to improve overall performance, while monitoring whether the C value remains high. For low-C, high-M specimens, it indicates that the overall performance level is acceptable, but the internal properties are not coordinated. The optimization direction should be to fine-tune the gradation or the amount of regenerator to improve the uniformity of the material structure and interfacial characteristics, so that all three properties can be improved simultaneously. This diagnostic-optimization mechanism significantly improves the pertinence and efficiency of mix design.

[0076] By controlling both energy coupling degree and energy amplitude ratio, this method ensures that recycled asphalt mixtures maintain good internal coordination throughout the performance recovery process. This prevents performance imbalances caused by blindly pursuing a single indicator, while also avoiding performance compromises resulting from simple concessions. This optimization strategy based on vector space analysis fundamentally solves the complex coupling problem between asphalt-aggregate ratio, recycling agent dosage, and gradation parameters, providing a theoretical basis and technical path for achieving high-performance design of recycled asphalt mixtures.

[0077] In one embodiment of this specification, the low-temperature performance test is performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0078] Low-temperature fracture tests were conducted on each group of recycled asphalt mixture specimens to obtain the load-displacement response curves of the recycled asphalt mixture under low-temperature conditions. These curves served as the performance response results for characterizing the crack resistance of the recycled asphalt mixture under low-temperature instantaneous loading conditions.

[0079] For illustrative purposes, this embodiment uses fracture testing as the standard method for low-temperature performance testing. Its core principle is to simulate the mechanical behavior of asphalt mixtures resisting instantaneous shrinkage stress in low-temperature winter environments. The test must be conducted in a strictly controlled low-temperature environment (typically -10℃ ± 0.5℃), applying a constant loading rate until the specimen fractures. This test condition effectively reproduces the service condition of pavement materials undergoing brittle fracture under sudden temperature drops, and the obtained load-displacement curve contains the full sequence of mechanical response information from elastic deformation and microcrack propagation to macroscopic fracture.

[0080] The load-displacement response curve is a direct representation of the constitutive relationship characterizing the low-temperature crack resistance of materials. The peak load of the curve reflects the fracture strength of the material, the area enclosed under the curve represents the total energy absorbed during the fracture process, and the slope of the descending segment of the curve reflects the fracture toughness of the material. Compared with a single strength index, this curve records the energy conversion characteristics of the three stages of crack initiation, stable propagation, and unstable failure through full-process data, providing a complete original data foundation for subsequent energy characterization.

[0081] In one embodiment of this specification, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0082] Energy characterization was performed on the load-displacement response curves and fracture ligament areas of each recycled asphalt mixture specimen to obtain their respective energy state vectors, including low-temperature fracture energy.

[0083] In illustrative terms, the fracture ligament area refers to the effective load-bearing cross-sectional area in front of the tip of a pre-drilled crack (or notch) on a specimen during fracture mechanics testing, which resists crack propagation, plastic deformation, and eventual fracture. The energy characterization method in this embodiment is based on the energy barrier theory of fracture mechanics, transforming the macroscopic mechanical response into the material's essential ability to resist crack propagation. The integral area under the load-displacement response curve characterizes the total mechanical work consumed throughout the entire process from crack initiation, stable propagation, to unstable failure, while the fracture ligament area, as a geometric characteristic parameter of the stress application surface, achieves spatial standardization of energy dissipation during fracture through its ratio. This characterization method eliminates the specimen size effect, making test results from specimens of different sizes comparable and revealing the inherent crack resistance of the material.

[0084] Specifically, the load-displacement curve first needs to undergo baseline correction and noise filtering. Then, a numerical integration algorithm (such as the trapezoidal method) is used to calculate the area under the curve to obtain the total energy dissipation. Finally, the low-temperature fracture energy E is calculated using a formula based on the fractured ligament area. LT Complete energy standardization.

[0085]

[0086] Among them, W LT The energy absorbed by the recycled asphalt mixture during the low-temperature fracture test from the start of loading to the fracture process is expressed in J; A. LT E represents the fractured ligament area of ​​the specimen, in m². LT The unit is J / m².

[0087] By introducing the fractured ligament area for energy standardization, discrete indicators such as strength and deformation are integrated into energy parameters with clear physical meaning, and a standardized data foundation is provided for the subsequent construction of energy state vectors, enabling low-temperature fracture energy to be analyzed in conjunction with energy indicators of different dimensions.

[0088] In one embodiment of this specification, the water stability performance test is performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0089] Fracture tests were conducted on each group of recycled asphalt mixture specimens under dry and wet conditions to obtain the mechanical response of the recycled asphalt mixture before and after the action of water environment. These results were used to characterize the performance response of the recycled asphalt mixture to represent the impact of water damage on the structural integrity of the recycled asphalt mixture.

[0090] For illustrative purposes, this embodiment uses a dry-wet state comparative fracture test method to test water stability performance, and quantifies water damage effects by measuring mechanical property decay.

[0091] Interpretive analysis begins by establishing the material's performance baseline under reference conditions through dry fracture tests. Then, wet fracture tests are conducted on parallel specimens that have undergone standard wet treatment. The tests require obtaining complete load-displacement curves under both dry and wet conditions. The dry and wet fracture energies are calculated through integration. The core response result is the ratio R between the wet and dry fracture energies. Gf (0 < R) Gf ≤1), this dimensionless parameter reflects the degree of performance degradation caused by water damage.

[0092] Compared to traditional water stability testing, this method does not directly use the absolute value of wet fracture energy, but instead uses R... Gf The coefficient establishes a correlation between water stability and fundamental material properties. Comparison of relative values ​​eliminates systematic errors and improves the reliability of the results; secondly, R... Gf The coefficient reflects the material's inherent ability to resist environmental erosion and has a clear correlation with the mix proportion parameters; finally, the coefficient also provides a mathematical bridge for the unified energy characterization of different performance indicators.

[0093] In one embodiment of this specification, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0094] Energy characterization was performed on each group of recycled asphalt mixture specimens based on their respective low-temperature fracture energy and mechanical response before and after exposure to water, resulting in their respective energy state vectors, including the effective wet fracture energy.

[0095] Illustratively, this embodiment introduces the wet-state effective fracture energy E. MO Energy characterization of water stability properties is performed. Since a truly effective "wet" treatment of the specimens is impossible at low temperatures, the low-temperature wet fracture energy cannot be directly measured. Based on engineering experience and the assumption of material damage consistency, a wet fracture energy attenuation coefficient R is introduced. Gf As an equivalent characterization parameter for the impact of water damage, the low-temperature fracture energy E LT The wet effective fracture energy E was calculated. MO :

[0096]

[0097] Among them, E MO The unit is J / m², which essentially characterizes the energy carrying capacity of a material after it has been damaged by low-temperature water.

[0098] In one embodiment of this specification, the fatigue performance test is performed on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows:

[0099] Fatigue loading tests were conducted on each group of recycled asphalt mixture specimens to obtain the stress-strain response curves and fatigue failure cycles of the recycled asphalt mixture under cyclic loading, which were used as the corresponding performance response results to characterize the fatigue resistance of the recycled asphalt mixture.

[0100] In illustrative terms, this implementation employs a cyclic loading mode with controlled stress or controlled strain to test fatigue performance, simulating the long-term reciprocating action of vehicle loads on asphalt pavements. The test is conducted at room temperature, with dynamic loads applied via a servo-hydraulic system. The load frequency and amplitude are determined based on the traffic level and structural stress characteristics of the target pavement. This testing method can reproduce the micro-damage accumulation process caused by repeated strain in recycled asphalt mixtures during service, providing a crucial data foundation for evaluating their long-term durability.

[0101] Reference Appendix Figure 2 , Figure 2This is a schematic diagram of the stress-strain response curve. The change in the slope of the curve reflects the attenuation of the material's stiffness during loading, characterizing the damage development rate; the evolution of the curve's shape (such as tilting towards the strain axis) reflects different stages of crack propagation. This dynamic response throughout the entire process records the complete damage evolution of the material from the initial microcrack initiation to the formation of macroscopic cracks. The closed curve formed in each cycle is the hysteresis loop, and the area enclosed by the hysteresis loop characterizes the energy dissipation value of a single cycle, reflecting the internal friction characteristics of the material.

[0102] Fatigue failure cycle number N f The determination of fatigue failure can usually be made by using the number of cycles corresponding to a 50% decrease in the initial stiffness of the specimen. The number of fatigue failure cycles, together with the stress-strain curve, constitutes a complete evaluation system for fatigue performance.

[0103] In one embodiment of this specification, the energy characterization based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors includes:

[0104] Energy characterization was performed on the stress-strain response curves and fatigue failure cycles of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including the fatigue cumulative dissipated strain energy density.

[0105] This embodiment is based on fatigue performance test results and introduces the fatigue cumulative dissipated strain energy density E. FA Energy characterization of fatigue performance:

[0106]

[0107] Where δi is the stress in the i-th fatigue cycle, in MPa; εi is the strain corresponding to the i-th fatigue cycle; N represents the area enclosed by the stress-strain hysteresis loop (hysteresis loop) in the i-th cycle; f E represents the number of cycles required for the recycled asphalt mixture to achieve fatigue failure. FA The unit is J / m³.

[0108] The area of ​​the stress-strain hysteresis loop (hysteresis loop) can be obtained by numerical integration to obtain the dissipated energy of a single cycle. Its physical essence is the energy (dissipated energy) that the material irreversibly consumes in the form of heat, sound, and microcrack propagation during a single loading-unloading cycle. Combining this with the number of fatigue failure cycles allows for the transformation from mechanical response to energy characterization. This unifies the quantification of dynamic fatigue processes and static fracture properties in the energy dimension, thereby providing parameter inputs for the energy state vector of multi-performance coordination.

[0109] Thus, the low-temperature fracture energy E corresponding to each group of recycled asphalt mixture specimens can be obtained.LT Fatigue cumulative dissipated strain energy density E FA and wet-state effective fracture energy E MO Energy state vector E=[E LT E FA E MO This study aims to uniformly characterize the structural energy carrying capacity and release characteristics of recycled asphalt mixtures under instantaneous loading, cyclic loading, and interface weakening conditions, laying a theoretical foundation for multi-performance synergistic optimization.

[0110] In one embodiment of this specification, the energy characterization based on the stress-strain response curves and fatigue failure cycles corresponding to each group of recycled asphalt mixture specimens includes:

[0111] The mean stress-strain hysteresis loop area of ​​each group of recycled asphalt mixture specimens during the stable phase of the test was obtained based on their respective stress-strain response curves.

[0112] Energy characterization was performed based on the mean stress-strain hysteresis loop area and the number of fatigue failure cycles for each group of recycled asphalt mixture specimens.

[0113] Illustratively, the fatigue loading test process includes: the initial stage, where cyclic hardening or softening occurs, the stress-strain response changes drastically, and the hysteresis loops do not coincide; the stable stage, which refers to the state in which the material or structure reaches a relatively balanced and repeatable response to cyclic loads during the test; and the instability stage, where macroscopic cracks appear and propagate rapidly, the specimen stiffness decreases significantly, the stress amplitude changes rapidly (under strain control), and finally fracture occurs.

[0114] Interpretively, the hysteresis loops formed by each loading-unloading cycle corresponding to the stable phase between the initial and unstable stages almost perfectly coincide in shape, size, and location. This indicates that the cyclic stress-strain response of the material has stabilized. Furthermore, during this stage, damage within the material accumulates at a relatively constant rate. Therefore, for ease of calculation, this embodiment uses the average hysteresis loop area ΔW of the stable phase for simplified calculations:

[0115]

[0116] Wherein, △W is the dissipated strain energy density of a single cycle in the steady stage (J / m³ / cycle).

[0117] Working principle:

[0118] Determine the RAP dosage: Select waste asphalt pavement material as the recycled raw material, and determine its dosage to be 30% (mass fraction).

[0119] Design parameter ranges were set and specimens were prepared: Under the condition of 30% RAP content, the following parameter ranges were set: asphalt-aggregate ratio range 3.0%-4.5, and recycling agent content range 3%-9% (as a percentage of the aged asphalt mass in the RAP). Within the above ranges, a set of candidate parameter combinations was determined through preliminary screening: mixture type (gradation parameters) AC-20, asphalt-aggregate ratio 3.8%, and recycling agent content 5%. Recycled asphalt mixture specimens were prepared according to this combination.

[0120] Conduct low-temperature, fatigue, and water stability tests:

[0121] Low-temperature fracture test: Conduct low-temperature fracture tests to obtain load-displacement curves; Fatigue performance test: Conduct fatigue loading tests to obtain stress-strain hysteresis curves and fatigue failure cycle counts; Water stability performance test: Conduct fracture tests under dry and wet conditions to obtain wet and dry fracture energies.

[0122] Low-temperature fracture energy E LT Calculation: Based on the results of the low-temperature fracture test, the low-temperature fracture energy is introduced. The test measured: W LT =21.6J,A LT =0.010m 2 Then: E LT =2160J / m 2 .

[0123] Fatigue cumulative dissipated strain energy density E FA Calculation: In the steady phase, the area of ​​the hysteresis loop in a single cycle is approximately constant, with a mean value ΔW = 145 J / m². 3 Fatigue failure cycle count N f =1.20×10 5 N, then: E FA =1.20×10 5 ×145=1.74×10 7 J / m 3 .

[0124] Wet-state effective fracture energy E MO Calculation of the ratio of wet to dry fracture energy R Gf =0.82, then: E MO =0.82×2160=1771J / m 2

[0125] Constructing the energy state vector: Based on the above energy indices, the energy state vector E=[E] of the recycled asphalt mixture in this embodiment is constructed. LT E FA E MO ]=[2160,1.74×10 7 ,1771]

[0126] Determine the reference energy state vector: Select the undisturbed asphalt mixture (unaged, unrecycled) as the reference mixture, and its energy state vector is: E0 = [E LT0 E FA0 E MO0 ]=[2300,1.85×10 7 ,1850].

[0127] Calculation of energy coupling level and energy carrying capacity: The calculated energy coupling degree C=0.98 indicates that the energy change direction of the recycled asphalt mixture in terms of low temperature, fatigue and water stability is highly consistent with that of the reference mixture; The calculated energy state vector amplitude ratio M=0.94 indicates that the overall energy carrying capacity of the recycled asphalt mixture is close to that of the reference mixture.

[0128] Synergistic optimization determination: Based on the changes in the comprehensive energy coupling degree C=0.98 and amplitude ratio M=0.94, it was determined that under the condition of RAP content of 30%, when the asphalt-aggregate ratio is 3.8% and the recycling agent content is 5%, the recycled asphalt mixture achieves synergistic optimization in terms of low temperature, fatigue, and water stability performance. This parameter combination is determined as the design scheme recommended by this invention.

[0129] More examples and comparisons are shown in Table 1 below.

[0130] Table 1: .

[0131] The foregoing has described specific embodiments of this specification. Other embodiments are within the scope of the appended claims. In some cases, the actions or steps recited in the claims may be performed in a different order than that shown in the embodiments and may still achieve the desired result. Furthermore, the processes depicted in the drawings do not necessarily require the specific or sequential order shown to achieve the desired result. In some embodiments, multitasking and parallel processing are possible or may be advantageous.

[0132] Please refer to the following. Figure 3 , Figure 3 A schematic diagram of a recycled asphalt mixture proportioning system based on energy characteristics, provided in an embodiment of this specification, is shown.

[0133] The mixing system 300 includes an experimental parameter generation unit 301, an experimental data processing unit 302, and an experimental conclusion output unit 303.

[0134] The experimental parameter generation unit 301 obtains the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters according to the input set dosage of the recycled asphalt mixture; and generates multiple sets of different parameter combinations based on the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters.

[0135] The experimental data processing unit 302 acquires the performance response results of each group of recycled asphalt mixture specimens after low-temperature performance, water stability performance and fatigue performance tests. Multiple groups of recycled asphalt mixture specimens correspond one-to-one with multiple parameter combinations. Based on the performance response results of each group of recycled asphalt mixture specimens, energy characterization is performed to obtain their respective energy state vectors.

[0136] The experimental conclusion output unit 303 obtains the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters based on the energy state vector corresponding to each group of recycled asphalt mixture specimens.

[0137] The various embodiments in this specification are described in a progressive manner. Similar or identical parts between embodiments can be referred to mutually. Each embodiment focuses on describing the differences from other embodiments. In particular, the proportioning system embodiments are basically similar to the proportioning method embodiments, so the description is relatively simple; relevant parts can be referred to the description of the proportioning method embodiments.

[0138] Please see Figure 4 The diagram shown is a structural schematic of an electronic device provided in an embodiment of this specification.

[0139] like Figure 4 As shown, the electronic device 400 may include at least one processor 401, at least one network interface 404, a user interface 403, a memory 405, and at least one communication bus 402.

[0140] The communication bus 402 can be used to realize the connection and communication of the above components.

[0141] The user interface 403 may include buttons, and the optional user interface may also include a standard wired interface or a wireless interface.

[0142] Among them, network interface 404 may include, but is not limited to, Bluetooth module, NFC module, Wi-Fi module, etc.

[0143] The processor 401 may include one or more processing cores. The processor 401 connects to various parts within the electronic device 400 using various interfaces and lines. It executes various functions and processes data by running or executing instructions, programs, code sets, or instruction sets stored in the memory 405, and by calling data stored in the memory 405. Optionally, the processor 401 may be implemented using at least one hardware form of DSP, FPGA, or PLC. The processor 401 may integrate one or more of the following: CPU, GPU, and modem. The CPU primarily handles the operating system, user interface, and applications; the GPU is responsible for rendering and drawing the content to be displayed on the screen; and the modem handles wireless communication. It is understood that the modem may also not be integrated into the processor 401 and may be implemented as a separate chip.

[0144] The memory 405 may include RAM or ROM. Optionally, the memory 405 may include a non-transitory computer-readable medium. The memory 405 may be used to store instructions, programs, code, code sets, or instruction sets. The memory 405 may include a program storage area and a data storage area, wherein the program storage area may store instructions for implementing an operating system, instructions for at least one function (such as touch function, sound playback function, image playback function, etc.), instructions for implementing the above-described method embodiments, etc.; the data storage area may store data involved in the above-described method embodiments, etc. Optionally, the memory 405 may also be at least one storage device located remotely from the aforementioned processor 401. As a computer storage medium, the memory 405 may include an operating system, a network communication module, a user interface module, and a recycled asphalt mixture proportioning application. The processor 401 may be used to call the recycled asphalt mixture proportioning application stored in the memory 405 and execute the steps of the proportioning method mentioned in the foregoing embodiments.

[0145] This specification also provides a computer-readable storage medium storing instructions that, when executed on a computer or processor, cause the computer or processor to perform one or more steps in the above-described proportioning method embodiments. If the constituent modules of the above-described electronic device are implemented as software functional units and sold or used as independent products, they can be stored in the computer-readable storage medium.

[0146] In the above embodiments, implementation can be achieved, in whole or in part, through software, hardware, firmware, or any combination thereof. When implemented in software, it can be implemented, in whole or in part, as a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, all or part of the processes or functions described in the embodiments of this specification are generated. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions can be stored in or transmitted through a computer-readable storage medium. The computer instructions can be transmitted from one website, computer, server, or data center to another website, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, Digital Subscriber Line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium can be any available medium accessible to a computer or a data storage device such as a server or data center that integrates one or more available media. The available media may be magnetic media (e.g., floppy disks, hard disks, magnetic tapes), optical media (e.g., Digital Versatile Discs (DVDs)), or semiconductor media (e.g., Solid State Disks (SSDs)).

[0147] Those skilled in the art will understand that all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. This program can be stored in a computer-readable storage medium, and when executed, it can include the processes of the embodiments of the methods described above. The aforementioned storage medium includes various media capable of storing program code, such as ROM, RAM, magnetic disks, or optical disks. Unless otherwise specified, the technical features of this embodiment and its implementation can be combined arbitrarily.

[0148] The embodiments described above are merely preferred embodiments of this specification and are not intended to limit the scope of this specification. Any modifications and improvements made by those skilled in the art to the technical solutions of this specification without departing from the spirit of this specification should fall within the protection scope defined by the claims of this specification.

Claims

1. A method for proportioning recycled asphalt mixtures based on energy characteristics, characterized in that, Includes the following steps: The range of values ​​for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained based on the set dosage of the recycled asphalt mixture. Multiple sets of recycled asphalt mixture specimens with different parameter combinations were prepared based on the respective value ranges of the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters. Low-temperature performance, water stability and fatigue performance of each group of recycled asphalt mixture specimens were tested to obtain their respective performance response results. Energy characterization was performed on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors. Based on the energy state vector corresponding to each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained.

2. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 1, characterized in that, Based on the energy state vector corresponding to each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained, including: Obtain the reference energy state vector of the original asphalt mixture; Based on the reference energy state vector of the original asphalt mixture and the energy state vector of each group of recycled asphalt mixture specimens, the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens are obtained. Based on the energy coupling level and energy carrying capacity of each group of recycled asphalt mixture specimens, the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters are obtained.

3. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 1, characterized in that, The low-temperature performance test was conducted on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows: Low-temperature fracture tests were conducted on each group of recycled asphalt mixture specimens to obtain the load-displacement response curves of the recycled asphalt mixture under low-temperature conditions. These curves served as the performance response results for characterizing the crack resistance of the recycled asphalt mixture under low-temperature instantaneous loading conditions.

4. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 3, characterized in that, The energy characterization is performed based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including: Energy characterization was performed on the load-displacement response curves and fracture ligament areas of each recycled asphalt mixture specimen to obtain their respective energy state vectors, including low-temperature fracture energy.

5. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 4, characterized in that, The water stability performance of each group of recycled asphalt mixture specimens was tested to obtain their respective performance response results, specifically: Fracture tests were conducted on each group of recycled asphalt mixture specimens under dry and wet conditions to obtain the mechanical response of the recycled asphalt mixture before and after the action of water environment. These results were used to characterize the performance response of the recycled asphalt mixture to represent the impact of water damage on the structural integrity of the recycled asphalt mixture.

6. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 5, characterized in that, The energy characterization is performed based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including: Energy characterization was performed on each group of recycled asphalt mixture specimens based on their respective low-temperature fracture energy and mechanical response before and after exposure to water, resulting in their respective energy state vectors, including the effective wet fracture energy.

7. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 1, characterized in that, The fatigue performance test was conducted on each group of recycled asphalt mixture specimens to obtain their respective performance response results, specifically as follows: Fatigue loading tests were conducted on each group of recycled asphalt mixture specimens to obtain the stress-strain response curves and fatigue failure cycles of the recycled asphalt mixture under cyclic loading, which were used as the corresponding performance response results to characterize the fatigue resistance of the recycled asphalt mixture.

8. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 7, characterized in that, The energy characterization is performed based on the performance response results of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including: Energy characterization was performed on the stress-strain response curves and fatigue failure cycles of each group of recycled asphalt mixture specimens to obtain their respective energy state vectors, including the fatigue cumulative dissipated strain energy density.

9. The method for proportioning recycled asphalt mixtures based on energy characteristics according to claim 8, characterized in that, The energy characterization based on the stress-strain response curves and fatigue failure cycle counts of each group of recycled asphalt mixture specimens includes: The mean stress-strain hysteresis loop area of ​​each group of recycled asphalt mixture specimens during the stable phase of the test was obtained based on their respective stress-strain response curves. Energy characterization was performed based on the mean stress-strain hysteresis loop area and the number of fatigue failure cycles for each group of recycled asphalt mixture specimens.

10. A recycled asphalt mixture proportioning system applying the method described in any one of claims 1-9, characterized in that, It includes an experimental parameter generation unit, an experimental data processing unit, and an experimental conclusion output unit: The experimental parameter generation unit obtains the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters according to the set dosage of the input recycled asphalt mixture; and generates multiple sets of different parameter combinations based on the value ranges of the asphalt-aggregate ratio, the amount of recycling agent, and the gradation parameters. The experimental data processing unit acquires the performance response results of each group of recycled asphalt mixture specimens after low-temperature performance, water stability performance and fatigue performance tests. Multiple groups of recycled asphalt mixture specimens correspond one-to-one with multiple parameter combinations. Based on the performance response results of each group of recycled asphalt mixture specimens, energy characterization is performed to obtain their respective energy state vectors. The experimental conclusion output unit obtains the recommended value ranges for the asphalt-aggregate ratio, recycling agent dosage, and gradation parameters based on the energy state vector corresponding to each group of recycled asphalt mixture specimens.

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