CN116678769A - Method, device, terminal and storage medium for determining asphalt pavement repair time - Google Patents

Method, device, terminal and storage medium for determining asphalt pavement repair time Download PDF

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CN116678769A
CN116678769A CN202310928645.0A CN202310928645A CN116678769A CN 116678769 A CN116678769 A CN 116678769A CN 202310928645 A CN202310928645 A CN 202310928645A CN 116678769 A CN116678769 A CN 116678769A
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modulus
asphalt
shear modulus
calculating
equivalent stiffness
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CN116678769B (en
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郭猛
管明阳
谭忆秋
杜修力
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Beijing University of Technology
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Beijing University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/32Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/02Details
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0001Type of application of the stress
    • G01N2203/0005Repeated or cyclic
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0014Type of force applied
    • G01N2203/0025Shearing
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058Kind of property studied
    • G01N2203/0069Fatigue, creep, strain-stress relations or elastic constants
    • G01N2203/0071Creep
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/0202Control of the test
    • G01N2203/0212Theories, calculations
    • G01N2203/0218Calculations based on experimental data
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/022Environment of the test
    • G01N2203/0222Temperature
    • G01N2203/0226High temperature; Heating means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/022Environment of the test
    • G01N2203/0222Temperature
    • G01N2203/0228Low temperature; Cooling means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/067Parameter measured for estimating the property
    • G01N2203/0694Temperature
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Abstract

The invention provides a method and a device for determining asphalt pavement repair time, a terminal and a storage medium. The method comprises the following steps: measuring shear modulus parameters corresponding to asphalt samples with different ageing times at different test temperatures; calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters; calculating the creep rate of the asphalt sample from all equivalent stiffness moduli; calculating the critical temperature difference between the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate; and determining the repair time of the asphalt pavement according to the critical temperature difference value. The invention can calculate the optimal repair time of the asphalt pavement and has important significance for reducing the repair cost of the asphalt pavement.

Description

Method, device, terminal and storage medium for determining asphalt pavement repair time
Technical Field
The invention relates to the technical field of testing or analyzing asphalt materials, in particular to a method and a device for determining asphalt pavement repair time, a terminal and a storage medium.
Background
Asphalt pavement is in long-term service in natural environment, and is influenced by environmental factors such as oxygen, ultraviolet rays, rainwater and the like, so that various chemical reactions and physical property changes of asphalt, namely aging of asphalt materials, are caused. This aging is an irreversible process that significantly alters the rheological properties of the asphalt, embrittling it, and susceptible to cracking under temperature and vehicle loading. Low temperature cracking is a major failure mode of asphalt pavement under low temperature conditions.
Depending on the cracking path of the material, which is generally the three stages of crack initiation-crack propagation-macrocrack, the rate of performance degradation is also expressed as "fast-slow-fast". Based on this principle, the cracking path of the asphalt material under the action of low temperature should be similar. However, the results of the present study show that: with the increase of the aging time, most of the low-temperature indexes show monotonically increasing or decreasing results, and the relation between the low-temperature indexes and the aging time is not obvious in a 'smooth stage'. Therefore, the results can qualitatively analyze the influence of aging on the low-temperature performance of asphalt, cannot analyze the cracking state of the aged asphalt under the action of low temperature, and are also unfavorable for further analysis of the optimal repair time of asphalt pavement.
Disclosure of Invention
The embodiment of the invention provides a method, a device, a terminal and a storage medium for determining asphalt pavement repair time, which are used for solving the problem that the optimal repair time of an asphalt pavement cannot be determined correctly in the prior art.
In a first aspect, an embodiment of the present invention provides a method for determining repair time of an asphalt pavement, including:
measuring shear modulus parameters corresponding to asphalt samples with different ageing times at different test temperatures;
Calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters;
calculating the creep rate of the asphalt sample from all equivalent stiffness moduli;
calculating the critical temperature difference between the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate;
and determining the repair time of the asphalt pavement according to the critical temperature difference value.
In one possible implementation, the shear modulus parameters include storage shear modulus, loss shear modulus, and angular frequency;
calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters, wherein the equivalent stiffness modulus comprises the following components:
according to the angular frequencies corresponding to asphalt samples with different aging times at different test temperatures, respectively fitting the storage shear modulus and the loss shear modulus corresponding to the different test temperatures to obtain a fitted storage shear modulus function and a fitted loss shear modulus function;
calculating a shear compliance from the storage shear modulus function and the loss shear modulus function;
calculating a tensile compliance from the shear compliance;
and calculating the equivalent stiffness modulus according to the tensile compliance.
In one possible implementation manner, the fitting is performed on the storage shear modulus and the loss shear modulus corresponding to different test temperatures according to the angular frequencies corresponding to different test temperatures of the asphalt samples with different aging times, so as to obtain a fitted storage shear modulus function and a fitted loss shear modulus function, where the fitting includes:
According toObtaining a storage shear modulus function or a loss shear modulus function after fitting;
wherein ,indicate->Storage shear modulus function or loss shear modulus function at frequency,/->Representing the minimum of the storage shear modulus or the minimum of the loss shear modulus, +.>Represents the most significant storage shear modulusMaximum value of the large or loss shear modulus, +.>、/>Parameters representing the shape of the Sigmoidal function, respectively.
In one possible implementation, the calculating the shear compliance from the storage shear modulus function and the loss shear modulus function includes:
according toCalculating shear compliance;
wherein ,indicate->Storage shear compliance at frequency, +.>Indicate->Storage shear modulus function at frequency, +.>Indicate->Loss shear compliance at frequency, +.>Indicate->Loss shear modulus function at frequency, +.>Indicate->Time-dependent shear compliance.
In one possible implementation, the calculating the tensile compliance from the shear compliance includes:
according toCalculating the stretching compliance;
wherein ,indicate->Time-dependent stretch compliance, +.>Representing poisson's ratio;
said calculating an equivalent stiffness modulus from said tensile compliance comprising:
According toCalculating an equivalent stiffness modulus;
wherein ,indicate->Equivalent stiffness modulus versus time.
In one possible implementation, the calculating the critical temperature difference of the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate includes:
according toCalculating a critical temperature difference between the equivalent stiffness modulus and the creep rate;
wherein ,represents the corresponding critical temperature, ++F, for an equivalent stiffness modulus of 300>Represents the corresponding critical temperature for creep rate of 0.3 +.>Indicating creep rate>Represents the maximum value of the test temperatures employed in measuring the shear modulus parameter,/for>Represents the minimum value of the test temperatures employed in measuring the shear modulus parameter, < >>Represents the standard equivalent stiffness modulus and the standard creep rate, < >>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>The critical temperature difference representing the equivalent stiffness modulus and creep rate.
In one possible implementation manner, the determining the asphalt pavement repair time according to the critical temperature difference value includes:
establishing a relation between the critical temperature difference and the aging time of the asphalt pavement, and determining a change stage of asphalt;
Calculating the slope of each change stage according to the established relationship;
and determining the inflection point position of asphalt according to the slope of each change stage, and determining the asphalt pavement repair time according to the inflection point position.
In a second aspect, an embodiment of the present invention provides a device for determining repair time of an asphalt pavement, including:
the measuring module is used for measuring shear modulus parameters corresponding to asphalt samples with different ageing times at different test temperatures;
the calculating module is used for calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters;
the calculation module is further used for calculating the creep rate of the asphalt sample according to all equivalent stiffness moduli;
the calculation module is also used for calculating the critical temperature difference value of the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate;
and the determining module is used for determining the asphalt pavement repairing time according to the critical temperature difference value.
In a third aspect, an embodiment of the present invention provides a terminal, including a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the steps of the method for determining asphalt pavement repair time according to the first aspect or any one of the possible implementations of the first aspect when the processor executes the computer program.
In a fourth aspect, embodiments of the present invention provide a computer readable storage medium storing a computer program which, when executed by a processor, implements the steps of the method for determining a repair time of an asphalt pavement according to the above first aspect or any one of the possible implementations of the first aspect.
The embodiment of the invention provides a method, a device, a terminal and a storage medium for determining repair time of an asphalt pavement, which are characterized in that shear modulus parameters corresponding to asphalt samples with different aging times at different test temperatures are measured, equivalent stiffness modulus corresponding to the asphalt samples is calculated according to all the shear modulus parameters, creep rate of the asphalt samples is calculated according to all the equivalent stiffness modulus, critical temperature difference values of the equivalent stiffness modulus and the creep rate are calculated according to all the equivalent stiffness modulus and all the creep rate, and finally the repair time of the asphalt pavement is determined according to the critical temperature difference values, so that the optimal repair time of the asphalt pavement can be calculated by determining evaluation index critical temperature difference values, and the method has important significance in reducing repair cost of the asphalt pavement.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments or the description of the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is an application scenario diagram of a method for determining asphalt pavement repair time provided by an embodiment of the invention;
FIG. 2 (a) is a graph showing the relationship between stiffness modulus and creep rate and aging time at-6℃for the test temperature provided in the examples of the present invention;
FIG. 2 (b) is a graph showing the relationship between stiffness modulus and creep rate and aging time at a test temperature of-12℃provided in the examples of the present invention;
FIG. 2 (c) is a graph showing the relationship between stiffness modulus and creep rate and aging time at-18℃for the test temperature provided in the examples of the present invention;
FIG. 2 (d) is a graph showing the critical temperature difference provided by the embodiment of the present inventionSchematic diagram of the relationship with aging time;
FIG. 2 (e) is a diagram of the embodiment of the present inventionSame test temperature subscript relaxation timeSchematic diagram of the relationship with aging time;
FIG. 2 (f) is a graph showing the dissipated power ratio at different test temperatures provided by an embodiment of the present inventionSchematic diagram of the relationship with aging time;
FIG. 2 (g) is a graph showing the low temperature index ratio at different test temperatures according to the embodiment of the present inventionSchematic diagram of the relationship with aging time;
FIG. 2 (h) is a graph showing low temperature integrated compliance parameters at different test temperatures according to an embodiment of the present inventionSchematic diagram of the relationship with aging time;
FIG. 3 is a schematic diagram of the slope of various stages of asphalt variation provided by an embodiment of the present invention;
FIG. 4 is a schematic structural diagram of an apparatus for determining repair time of an asphalt pavement according to an embodiment of the present invention;
fig. 5 is a schematic diagram of a terminal according to an embodiment of the present invention.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth such as the particular system architecture, techniques, etc., in order to provide a thorough understanding of the embodiments of the present invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the following description will be made by way of specific embodiments with reference to the accompanying drawings.
Fig. 1 is a flowchart of an implementation of a method for determining repair time of an asphalt pavement according to an embodiment of the present invention, which is described in detail below:
step 101, measuring shear modulus parameters corresponding to asphalt samples with different aging times at different test temperatures.
Before measuring shear modulus parameters corresponding to different test temperatures for asphalt samples with different aging times, it is first necessary to obtain asphalt samples with different aging times.
In this example, short-term aging and long-term aging were performed on the asphalt samples, respectively, to obtain target asphalt samples.
A rotating film oven RTFO was used for short term aging of the bitumen samples. Placing 50g of asphalt sample into an aging tray with the diameter of 140mm and the inner depth of 9.5mm, wherein the thickness of the asphalt film is about 3.2mm, rotating the asphalt sample at the speed of 5.5r/min in a ventilation oven at 163 ℃, and finishing short-term aging of the asphalt sample after 5 hours of test;
and (3) adopting a pressure aging box PAV to age the asphalt subjected to short-term aging for a long time. And (3) placing an aging tray containing 50g of asphalt samples into a pressure aging box, setting the temperature to 100 ℃, setting the pressure to 2.1MPa, setting the time to be different aging times, finishing long-term aging after the aging time is up, and taking out the asphalt samples, so that the asphalt samples with different aging times can be obtained.
The low temperature performance of the asphalt was tested using a dynamic shear rheometer DSR. Asphalt samples with different ageing times are poured into a silica gel film with the diameter of 4mm, and the asphalt samples are naturally cooled and then demoulded.
The temperature-frequency sweep program in DSR is used to test shear modulus parameters for asphalt at different test temperatures, where the shear modulus parameters may include storage shear modulus, loss shear modulus, and angular frequency. Wherein, the temperature can be set to different temperatures, such as-18 ℃, -12 ℃, -6 ℃, the frequency is 100 rad/s-0.2 rad/s, the strain is 0.1%, and the clamp gap is 2.2mm. Multiple parallel tests can be performed on each asphalt sample to ensure reliability of the results. For example, three parallel tests are performed on each asphalt sample.
And 102, calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters.
After the storage shear modulus, the loss shear modulus and the angular frequency of the asphalt sample with different aging times are obtained, and the equivalent stiffness modulus corresponding to the asphalt sample is calculated according to the storage shear modulus, the loss shear modulus and the angular frequency, frequency data are firstly converted into time domain data, and the shear response is converted into uniaxial response.
In one embodiment, calculating the equivalent stiffness modulus for the asphalt sample based on all shear modulus parameters may include:
according to the angular frequencies corresponding to asphalt samples with different aging times at different test temperatures, respectively fitting the storage shear modulus and the loss shear modulus corresponding to the different test temperatures to obtain a fitted storage shear modulus function and a fitted loss shear modulus function;
calculating a shear compliance from the storage shear modulus function and the loss shear modulus function;
calculating a tensile compliance from the shear compliance;
the equivalent stiffness modulus was calculated from the tensile compliance.
Optionally, according to angular frequencies corresponding to asphalt samples with different aging times at different test temperatures, fitting the storage shear modulus and the loss shear modulus corresponding to the different test temperatures respectively to obtain a fitted storage shear modulus function and a fitted loss shear modulus function, which may include:
According toObtaining a storage shear modulus function or a loss shear modulus function after fitting;
wherein ,indicate->Storage shear modulus function or loss shear modulus function at frequency,/->Representing the minimum of the storage shear modulus or the minimum of the loss shear modulus, +.>Represents the maximum value of the storage shear modulus or the maximum value of the loss shear modulus, < >>、/>Parameters representing the shape of the Sigmoidal function, respectively.
The first expression isThe storage shear modulus function at frequency is used below>Representation, represent->The loss shear modulus function at frequency is used below +.>And (3) representing.
Optionally, calculating the shear compliance from the storage shear modulus function and the loss shear modulus function may include:
according toThe shear compliance is calculated, i.e., the frequency data is converted to time domain data.
wherein ,indicate->Storage shear compliance at frequency, +.>Indicate->Storage shear modulus function at frequency, +.>Indicate->Loss shear compliance at frequency, +.>Indicate->Loss shear modulus function at frequency, +.>Indicate->Time-dependent shear compliance.
Optionally, calculating the tensile compliance from the shear compliance includes:
According toCalculating the stretching compliance; i.e., converting the shear compliance to a tensile compliance associated with the BBR.
wherein ,indicate->Time-dependent stretch compliance, +.>Representing poisson's ratio. Here->The value can be 0.35.
The BBR is a low-temperature bending beam test, and the low-temperature rheological index is provided in the BBR, so that researches show that the low-temperature rheological index not only can effectively describe the viscoelastic mechanical properties of asphalt, but also has better correlation with road performance. However, the existing asphalt low-temperature rheology indexes have no clear corresponding relation with the aging degree, and the law of the indexes which are shown along with the increase of the aging time is not beneficial to further researching the optimal repair time of the asphalt pavement. Therefore, in the scheme, the relation between the low-temperature performance of the asphalt and different ageing times is analyzed by adopting various indexes, so that the proper low-temperature index is determined, the evolution rule of the low-temperature performance increasing along with the ageing time is established, the repair time of the asphalt pavement is determined, and the reference is provided for the optimal maintenance time of the asphalt pavement.
Alternatively, calculating the equivalent stiffness modulus from the tensile compliance may include:
according toCalculating an equivalent stiffness modulus;
wherein ,indicate- >Equivalent stiffness modulus versus time.
Step 103, calculating the creep rate of the asphalt sample according to all equivalent stiffness moduli.
In an embodiment, the calculation method of the creep rate is consistent with the method of obtaining the creep rate by BBR test, and is not described in detail in this embodiment, that is, the creep rate is the equivalent stiffness modulus at any time tThe slope on the log versus time plot of creep rate may also be referred to as the rate of stiffness modulus change. The following adopts +.>Indicating creep rate.
Step 104, calculating the critical temperature difference between the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate.
Using a single indexOr->To evaluate the low temperature performance of asphalt with certain unilateralism, so in order to determine the index for evaluating the low temperature performance of asphalt, we compare the low temperature index derived from the difference between the critical temperatures corresponding to the equivalent stiffness modulus and the creep rate and the Burgers model parameter so as to determine the most suitable index for evaluating the low temperature performance of asphalt. Wherein the difference between the critical temperatures corresponding to the equivalent stiffness modulus and creep rate is the critical temperature difference +.>The method comprises the steps of carrying out a first treatment on the surface of the The low temperature index derived from the Burgers model parameters may include relaxation time +. >Dissipation energy ratio->Low temperature index ratio->Low temperature comprehensive compliance parameter->
The SHRP program proposes low temperature rheology indicators based on DSR or BBR tests. According to the SHRP program, the difference between the critical temperature corresponding to an equivalent stiffness modulus of 300 and the critical temperature corresponding to a creep rate of 0.3Can be used for evaluating the low-temperature properties of asphalt, and +.>Smaller indicates poorer low temperature performance of the asphalt.
In order to obtain critical temperature, specific performance index values of asphalt samples at different temperatures need to be tested, namely, the measured temperature of DSR is set to be a preset temperature, the equivalent stiffness modulus and creep rate are obtained through calculation of the shear modulus parameter obtained through measurement, the equivalent stiffness modulus and creep rate corresponding to the preset temperature are obtained, and then the corresponding critical temperature is determined through a difference value calculation mode.
In one embodiment, calculating the critical temperature difference for the equivalent stiffness modulus and creep rate from all equivalent stiffness modulus and all creep rate comprises:
according toCalculating a critical temperature difference between the equivalent stiffness modulus and the creep rate;
wherein ,represents the corresponding critical temperature, ++F, for an equivalent stiffness modulus of 300>Represents the corresponding critical temperature for creep rate of 0.3 +. >Indicating creep rate>Represents the maximum of the test temperatures employed in the measurement of the shear modulus parameters, for example-12℃and-6℃for the test temperatures>Can be-6deg.C or->Represents the minimum of the test temperatures employed in the measurement of the shear modulus parameters, e.g.the test temperatures employed are-12℃and-6℃then +.>Can be-12 deg.C>Represents the standard equivalent stiffness modulus and the standard creep rate, < >>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>The critical temperature difference representing the equivalent stiffness modulus and creep rate.
Here, theRepresenting a standard equivalent stiffness modulus and a standard creep rate, it is required in the BBR test that the stiffness modulus after 60s of load is not more than 300MPa and the creep rate is not less than 0.3, so that the standard equivalent stiffness modulus is 300MPa and the standard creep rate is 0.3>Is (300 MPa, 0.3).
Low-temperature evaluation indexes established based on Burgers model parameters, such as relaxation timeDissipation energy ratio->Low temperature index ratio->Low temperature comprehensive compliance parameter->The low-temperature performance of the asphalt can be better analyzed. The Burgers model is
wherein ,creep compliance in MPa; / >Time is given in s; />、/>、/>、/>Respectively, the Burgers model parameters. />The modulus of elasticity is instantaneous and the unit is MPa; />The unit is MPa for the delayed elastic modulus; />Is a viscous flow coefficient, and the unit is MPa.s; />To delay viscous flow coefficientThe unit is MPa.s.
1) Relaxation time
Relaxation time of asphaltRepresenting the ability of the asphalt material to dissipate stress, which reflects the change in stress in the asphalt material over time. Asphalt relaxation time->According to->And (5) calculating.
2) Dissipation energy ratio [ ]
The dissipation energy of asphalt may reflect the ability of energy in the material to store and dissipate. By calculating the dissipated energy and the stored energy, the dissipated energy ratio can be obtainedAccording to
And (5) calculating.
3) Low temperature index ratio%)
According toAnd calculating the low-temperature index ratio.
4) Low temperature integrated compliance parameter
Low temperature integrated compliance parameterThe viscoelastic properties of asphalt are integrally represented by using the viscoelastic deformation proportion in the Burgers model, so that the low-temperature performance of asphalt can be more comprehensively evaluated.
According toAnd (5) calculating.
in the formula ;/>;/>
Step 105, determining the asphalt pavement repair time according to the critical temperature difference value.
The above calculation results in critical temperature difference and relaxation time of low temperature index derived from Burgers model parametersDissipation energy ratio->Low temperature index ratio- >Low temperature comprehensive compliance parameter->
Firstly, establishing the relation between different indexes and aging time, and then analyzing the change rule of each index along with the increase of the aging time, thereby determining the most reasonable evaluation index and evolution rule.
Adopting 50# matrix asphalt, adopting RTFO to age asphalt for a short period, defining the asphalt after short period aging to be 0h, adopting PAV to age asphalt samples for a long period of time for 0h, casting asphalt samples with different aging degrees into a 4mm silica gel film, naturally cooling, demoulding, and finally adopting DSR to test the low temperature performance;
the low temperature performance of the asphalt samples was tested using DSR. Firstly, setting a low-temperature test program, and selecting the temperature: -18 ℃, -12 ℃, -6 ℃, frequency: 100rad/s to 0.2rad/s, strain: 0.1%; setting the temperature to 70 ℃, placing the asphalt sample into a lower clamp after the temperature is stable, adjusting the gap between the upper clamp and the lower clamp to 2.4mm, cooling to 15 ℃, trimming by using a hot scraper, adjusting the gap to 2.2mm under the condition of 15 ℃ after trimming, and trimming again; and finally, starting a low-temperature test.
DSR is a dynamic test that analyzes the viscoelastic response of a material in the frequency domain; BBR is a static test that analyzes the viscoelastic response of a material under time domain conditions. To accurately evaluate its low temperature performance, equivalent transformation should be performed on DSR data to obtain stiffness modulus and creep rate equivalent to BBR test. In addition, to better evaluate the low temperature performance of asphalt, the corresponding critical temperature difference is calculated through stiffness modulus and creep rate, and the relaxation time of the low temperature index is derived based on Burgers model parameters Dissipation energy ratio->Low temperature index ratio->Low temperature comprehensive compliance parameter->And the like. The results of the relationship between the different indexes and the aging time are shown in FIG. 2, wherein FIG. 2 (a) shows a schematic diagram of the relationship between stiffness modulus and creep rate and aging time at a test temperature of-6 ℃, FIG. 2 (b) shows a schematic diagram of the relationship between stiffness modulus and creep rate and aging time at a test temperature of-12 ℃, FIG. 2 (c) shows a schematic diagram of the relationship between stiffness modulus and creep rate and aging time at a test temperature of-18 ℃, and FIG. 2 (d) shows a critical temperature difference>FIG. 2 (e) shows the relaxation time of the subscript of the different test temperatures in relation to the ageing time>FIG. 2 (f) is a graph showing the dissipation energy ratio at different test temperaturesFIG. 2 (g) shows the low temperature index ratio +.>FIG. 2 (h) shows the low temperature integrated compliance parameter +.>Schematic of the relationship with aging time.
As can be seen from fig. 2 (a) to 2 (h), as the aging time increases,、/>expressed as an overall increasing trend, +.>Creep rate is shown as an overall decreasing trend, with significant fluctuations in stiffness modulus. These indicators are difficult to determine the repair time of asphalt. However, critical temperature difference +. >The relationship with aging time shows a "three-stage" downward trend of "fast-slow-fast", and there is a distinct inflection point. Furthermore, the cracking path of the material is generally the "crack initiation-crack propagation-macrocrack" three-stage, illustrating +.>The change rule along with aging time accords with the formation rule of material cracks to a certain extent. Based on this, +.>The change rule along with the aging time is not only beneficial to further analyzing the optimal repair time of the aged asphalt, but also can reflect the cracking state of the asphalt in the aging process to a certain extent.
The method adopts 70# matrix asphalt, 90# matrix asphalt, SBS modified asphalt and 50# matrix asphalt, wherein a certain amount of ageing inhibitor is added into the matrix asphalt of the 70# matrix asphalt, a certain amount of ageing inhibitor is added into the matrix asphalt of the 90# matrix asphalt, and a certain amount of ageing inhibitor is added into the matrix asphalt of the SBS modified asphalt, and the tests are respectively carried out, so that consistent conclusion is obtained, and the adopted evaluation index is that
According to the cracking path of the material, the low-temperature performance of asphalt is fast in early-stage attenuation, and is represented by a concave curve, the middle-stage tends to be gentle, and the asphalt is represented by a straight line, and the later-stage attenuation is obvious, and is represented by a convex curve. The definition of the inflection point of a curve in higher mathematics shows that the curve concave-convex dividing point is called the inflection point of the curve. Therefore, the method for further researching the optimal repair time of the asphalt pavement can be provided by applying the inflection point theory.
In one embodiment, determining the asphalt pavement repair time based on the critical temperature difference may include:
establishing a relation between a critical temperature difference value and the aging time of the asphalt pavement, and determining a change stage of asphalt;the aging time shows a change rule of 'quick-slow-quick', and three obvious change phases.
Calculating the slope of each change stage according to the established relationship;
and determining the inflection point position of asphalt according to the slope of each change stage, and determining the repair time of the asphalt pavement according to the inflection point position.
As shown in the slope schematic of the stages of figure 3,goodness of fit, i.e. the goodness of a linearly related row, ++>The larger the correlation, the better the correlation, and the coefficient of x represents the slope. In fig. 3, it is shown that the slope of the "slow" segment (k= -0.01) is significantly lower than the slopes of the two "fast" segments (k= -0.82, k= -0.25), and the inflection point position is easy to distinguish. To calculate its specific inflection point, polynomial fits are mainly performed on the "slow" segment and its front and back data points. Finally, according to the definition of inflection points in higher mathematics, calculating the inflection point position of the asphalt low-temperature performance decreasing along with aging time, wherein in fig. 3, the position marked by a circle is the inflection point position.
Because the low-temperature performance of asphalt is significantly changed before and after the inflection point, it is more effective to further analyze the optimal repair time of the asphalt pavement by judging the inflection point position. In order to effectively prevent cracking of the asphalt material, repair work can be performed before the second inflection point.
According to the embodiment of the invention, shear modulus parameters corresponding to asphalt samples at different test temperatures at different aging times are measured, equivalent stiffness modulus corresponding to the asphalt samples is calculated according to all the shear modulus parameters, creep rate of the asphalt samples is calculated according to all the equivalent stiffness modulus, critical temperature difference values of the equivalent stiffness modulus and the creep rate are calculated according to all the equivalent stiffness modulus and all the creep rate, the low-temperature performance of asphalt which can be most reflected by the critical temperature difference value is determined by analyzing the relation between the critical temperature difference values and other indexes and aging time, and finally the repair time of the asphalt pavement is determined according to the critical temperature difference values, so that the optimal repair time of the asphalt pavement can be calculated, and the method has important significance in reducing the repair cost of the asphalt pavement.
It should be understood that the sequence number of each step in the foregoing embodiment does not mean that the execution sequence of each process should be determined by the function and the internal logic, and should not limit the implementation process of the embodiment of the present invention.
The following are device embodiments of the invention, for details not described in detail therein, reference may be made to the corresponding method embodiments described above.
Fig. 4 is a schematic structural diagram of an apparatus for determining repair time of an asphalt pavement according to an embodiment of the present invention, and for convenience of explanation, only the portions related to the embodiment of the present invention are shown, which is described in detail below:
as shown in fig. 4, the asphalt pavement repair time determining device 4 includes: a measurement module 41, a calculation module 42 and a determination module 43.
The measurement module 41 is used for measuring shear modulus parameters corresponding to asphalt samples with different aging times at different test temperatures;
a calculation module 42, configured to calculate an equivalent stiffness modulus corresponding to the asphalt sample according to all the shear modulus parameters;
a calculation module 42 for calculating a creep rate of the asphalt sample based on all equivalent stiffness moduli;
a calculation module 42 for calculating a critical temperature difference of the equivalent stiffness modulus and the creep rate based on all the equivalent stiffness modulus and all the creep rate;
a determining module 43, configured to determine the asphalt pavement repair time according to the critical temperature difference.
In one possible implementation, the shear modulus parameters include storage shear modulus, loss shear modulus, and angular frequency;
from all shear modulus parameters, the calculation module 42 is configured to calculate the equivalent stiffness modulus for the asphalt sample:
According to the angular frequencies corresponding to asphalt samples with different aging times at different test temperatures, respectively fitting the storage shear modulus and the loss shear modulus corresponding to the different test temperatures to obtain a fitted storage shear modulus function and a fitted loss shear modulus function;
calculating a shear compliance from the storage shear modulus function and the loss shear modulus function;
calculating a tensile compliance from the shear compliance;
the equivalent stiffness modulus was calculated from the tensile compliance.
In one possible implementation manner, the calculating module 42 is configured to fit the storage shear modulus and the loss shear modulus corresponding to different test temperatures according to the angular frequencies corresponding to the asphalt samples with different aging times at different test temperatures, so as to obtain a storage shear modulus function and a loss shear modulus function after fitting when:
according toObtaining a storage shear modulus function or a loss shear modulus function after fitting;
wherein ,indicate->Storage shear modulus function or loss shear modulus function at frequency,/->Representing the minimum of the storage shear modulus or the minimum of the loss shear modulus, +.>Represents the maximum value of the storage shear modulus or the maximum value of the loss shear modulus, < > >、/>Parameters representing the shape of the Sigmoidal function, respectively.
In one possible implementation, the calculation module 42, when calculating the shear compliance from the storage shear modulus function and the loss shear modulus function, is configured to:
according toCalculating shear compliance;
wherein ,indicate->Storage shear compliance at frequency, +.>Indicate->Storage shear modulus function at frequency, +.>Indicate->Loss shear compliance at frequency, +.>Indicate->Loss shear modulus function at frequency, +.>Indicate->Time-dependent shear compliance.
In one possible implementation, the calculation module 42 is configured to, when calculating the tensile compliance from the shear compliance:
according toCalculating the stretching compliance;
wherein ,represent the first/>Time-dependent stretch compliance, +.>Representing poisson's ratio;
calculating an equivalent stiffness modulus from the tensile compliance, comprising:
according toCalculating an equivalent stiffness modulus;
wherein ,indicate->Equivalent stiffness modulus versus time.
In one possible implementation, the calculation module 42 is configured to, when calculating the critical temperature difference between the equivalent stiffness modulus and the creep rate from all the equivalent stiffness modulus and all the creep rate:
according toCalculating a critical temperature difference between the equivalent stiffness modulus and the creep rate;
wherein ,represents the corresponding critical temperature, ++F, for an equivalent stiffness modulus of 300>Represents the corresponding critical temperature for creep rate of 0.3 +.>Indicating creep rate>Represents the maximum value of the test temperatures employed in measuring the shear modulus parameter,/for>Represents the minimum value of the test temperatures employed in measuring the shear modulus parameter, < >>Represents the standard equivalent stiffness modulus and the standard creep rate, < >>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>The critical temperature difference representing the equivalent stiffness modulus and creep rate.
In one possible implementation, the determining module 43 is configured to, when determining the asphalt pavement repair time according to the critical temperature difference value:
establishing a relation between a critical temperature difference value and the aging time of the asphalt pavement, and determining a change stage of asphalt;
calculating the slope of each change stage according to the established relationship;
and determining the inflection point position of asphalt according to the slope of each change stage, and determining the repair time of the asphalt pavement according to the inflection point position.
According to the determining device for the repairing time of the asphalt pavement, shear modulus parameters of asphalt samples at different aging times at different test temperatures are measured through the measuring module, the calculating module calculates equivalent stiffness modulus corresponding to the asphalt samples according to all the shear modulus parameters, creep rate of the asphalt samples is calculated according to all the equivalent stiffness modulus, critical temperature difference values of the equivalent stiffness modulus and the creep rate are calculated according to all the equivalent stiffness modulus and all the creep rate, the low-temperature performance of asphalt which can be most reflected by the index of the critical temperature difference value is determined through analyzing the relation between the critical temperature difference values and other indexes and the aging time, and finally the repairing time of the asphalt pavement is determined according to the critical temperature difference values by the determining module, so that the optimal repairing time of the asphalt pavement can be calculated, and the determining device has important significance in reducing repairing cost of the asphalt pavement.
Fig. 5 is a schematic diagram of a terminal according to an embodiment of the present invention. As shown in fig. 5, the terminal 5 of this embodiment includes: a processor 50, a memory 51 and a computer program 52 stored in said memory 51 and executable on said processor 50. The steps of the above-described embodiments of the method for determining a repair time for an asphalt pavement, such as steps 101 through 105 shown in fig. 1, are implemented by the processor 50 when executing the computer program 52. Alternatively, the processor 50 may perform the functions of the modules/units of the apparatus embodiments described above, such as the functions of the modules/units shown in fig. 4, when executing the computer program 52.
By way of example, the computer program 52 may be partitioned into one or more modules/units that are stored in the memory 51 and executed by the processor 50 to complete the present invention. The one or more modules/units may be a series of computer program instruction segments capable of performing the specified functions describing the execution of the computer program 52 in the terminal 5. For example, the computer program 52 may be partitioned into the modules/units shown in fig. 4.
The terminal 5 may include, but is not limited to, a processor 50, a memory 51. It will be appreciated by those skilled in the art that fig. 5 is merely an example of the terminal 5 and is not limiting of the terminal 5, and may include more or fewer components than shown, or may combine some components, or different components, e.g., the terminal may further include input and output devices, network access devices, buses, etc.
The processor 50 may be a central processing unit (Central Processing Unit, CPU), other general purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), field-programmable gate arrays (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The storage 51 may be an internal storage unit of the terminal 5, such as a hard disk or a memory of the terminal 5. The memory 51 may be an external storage device of the terminal 5, such as a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card) or the like, which are provided on the terminal 5. Further, the memory 51 may also include both an internal storage unit and an external storage device of the terminal 5. The memory 51 is used for storing the computer program as well as other programs and data required by the terminal. The memory 51 may also be used to temporarily store data that has been output or is to be output.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, the specific names of the functional units and modules are only for distinguishing from each other, and are not used for limiting the protection scope of the present application. The specific working process of the units and modules in the above system may refer to the corresponding process in the foregoing method embodiment, which is not described herein again.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
In the embodiments provided in the present invention, it should be understood that the disclosed apparatus/terminal and method may be implemented in other manners. For example, the apparatus/terminal embodiments described above are merely illustrative, e.g., the division of the modules or units is merely a logical function division, and there may be additional divisions when actually implemented, e.g., multiple units or components may be combined or integrated into another system, or some features may be omitted or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed may be an indirect coupling or communication connection via interfaces, devices or units, which may be in electrical, mechanical or other forms.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units.
The integrated modules/units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the present invention may implement all or part of the above-described methods, or may be implemented by a computer program for instructing related hardware, where the computer program may be stored in a computer readable storage medium, and the computer program may be executed by a processor to implement the steps of the above-described embodiments of the method for determining repair time of asphalt pavement. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer Memory, a Read-Only Memory (ROM), a random access Memory (Random Access Memory, RAM), an electrical carrier signal, a telecommunications signal, a software distribution medium, and so forth.
The above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention, and are intended to be included in the scope of the present invention.

Claims (10)

1. The method for determining the repair time of the asphalt pavement is characterized by comprising the following steps of:
measuring shear modulus parameters corresponding to asphalt samples with different ageing times at different test temperatures;
calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters;
calculating the creep rate of the asphalt sample from all equivalent stiffness moduli;
calculating the critical temperature difference between the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate;
and determining the repair time of the asphalt pavement according to the critical temperature difference value.
2. The method of claim 1, wherein the shear modulus parameters include storage shear modulus, loss shear modulus, and angular frequency;
Calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters, wherein the equivalent stiffness modulus comprises the following components:
according to the angular frequencies corresponding to asphalt samples with different aging times at different test temperatures, respectively fitting the storage shear modulus and the loss shear modulus corresponding to the different test temperatures to obtain a fitted storage shear modulus function and a fitted loss shear modulus function;
calculating a shear compliance from the storage shear modulus function and the loss shear modulus function;
calculating a tensile compliance from the shear compliance;
and calculating the equivalent stiffness modulus according to the tensile compliance.
3. The method for determining the repair time of the asphalt pavement according to claim 2, wherein the fitting the storage shear modulus and the loss shear modulus corresponding to the asphalt samples with different aging times at the angular frequencies corresponding to different test temperatures respectively to obtain a fitted storage shear modulus function and a fitted loss shear modulus function comprises:
according toObtaining a storage shear modulus function or a loss shear modulus function after fitting;
wherein ,indicate->Storage shear modulus function or loss shear modulus function at frequency,/- >Representing the minimum of the storage shear modulus or the minimum of the loss shear modulus, +.>Represents the maximum value of the storage shear modulus or the maximum value of the loss shear modulus, < >>、/>Parameters representing the shape of the Sigmoidal function, respectively.
4. A method of determining a repair time for an asphalt pavement according to claim 3, wherein said calculating a shear compliance from said storage shear modulus function and said loss shear modulus function comprises:
according toCalculating shear compliance;
wherein ,indicate->Storage shear compliance at frequency, +.>Indicate->Storage shear modulus function at frequency, +.>Indicate->Loss shear compliance at frequency, +.>Indicate->Loss shear modulus function at frequency, +.>Indicate->Time-dependent shear compliance.
5. The method of determining a repair time for an asphalt pavement according to claim 4, wherein the calculating a tensile compliance from the shear compliance comprises:
according toCalculating the stretching compliance;
wherein ,indicate->Time-dependent stretch compliance, +.>Representing poisson's ratio;
said calculating an equivalent stiffness modulus from said tensile compliance comprising:
according toCalculating an equivalent stiffness modulus;
wherein ,indicate->Equivalent stiffness modulus versus time.
6. The method of determining a repair time for an asphalt pavement according to any one of claims 1 to 5, wherein calculating a critical temperature difference of the equivalent stiffness modulus and the creep rate from all the equivalent stiffness modulus and all the creep rate comprises:
according toCalculating a critical temperature difference between the equivalent stiffness modulus and the creep rate;
wherein ,represents the corresponding critical temperature, ++F, for an equivalent stiffness modulus of 300>Represents the corresponding critical temperature for creep rate of 0.3 +.>Indicating creep rate>Represents the maximum value of the test temperatures employed in measuring the shear modulus parameter,/for>Represents the minimum value of the test temperatures employed in measuring the shear modulus parameter, < >>Represents the standard equivalent stiffness modulus and the standard creep rate, < >>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>Representation->Corresponding equivalent stiffness modulus and +>Corresponding creep rate, +.>The critical temperature difference representing the equivalent stiffness modulus and creep rate.
7. The method for determining a repair time for an asphalt pavement according to any one of claims 1 to 5, wherein the determining the repair time for an asphalt pavement according to the critical temperature difference value includes:
Establishing a relation between the critical temperature difference and the aging time of the asphalt pavement, and determining a change stage of asphalt;
calculating the slope of each change stage according to the established relationship;
and determining the inflection point position of asphalt according to the slope of each change stage, and determining the asphalt pavement repair time according to the inflection point position.
8. A device for determining repair time of an asphalt pavement, comprising:
the measuring module is used for measuring shear modulus parameters corresponding to asphalt samples with different ageing times at different test temperatures;
the calculating module is used for calculating equivalent stiffness modulus corresponding to the asphalt sample according to all shear modulus parameters;
the calculation module is further used for calculating the creep rate of the asphalt sample according to all equivalent stiffness moduli;
the calculation module is also used for calculating the critical temperature difference value of the equivalent stiffness modulus and the creep rate according to all the equivalent stiffness modulus and all the creep rate;
and the determining module is used for determining the asphalt pavement repairing time according to the critical temperature difference value.
9. A terminal comprising a memory for storing a computer program and a processor for calling and running the computer program stored in the memory, characterized in that the processor, when executing the computer program, carries out the steps of the method for determining a repair time of an asphalt pavement according to any one of the preceding claims 1 to 7.
10. A computer readable storage medium storing a computer program, characterized in that the computer program when executed by a processor implements the steps of the method of determining an asphalt pavement repair time according to any one of the preceding claims 1 to 7.
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