CN116008077A - Stable grading determination method of construction waste reclaimed materials in roadbed application scene - Google Patents
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Abstract
The invention discloses a stable grading determination method of construction waste reclaimed materials in roadbed application scenes, which comprises the following steps: establishing a continuous grading equation of the reclaimed material; setting range values of confining pressure and bias stress based on the stress state when the reclaimed materials are used for the roadbed structure horizon; performing a dynamic triaxial test, testing the corresponding volume deformation of the reclaimed material test piece under the loading conditions of different confining pressures and bias stresses in the set confining pressure and bias stress ranges, and obtaining the volume deformation and the relative crushing rate B according to test results r Related relation of (3); simultaneous continuous grading equation and relative crushing rate B r Is a defined expression of (a), and the relative crushing rate B is calculated reversely r The corresponding grading parameters b and m are substituted into a continuous grading equation to obtain grading curves corresponding to different crushing degrees, thereby obtaining stability under corresponding statesGrading. According to the invention, in a nondestructive state of the test piece, the conventional method is replaced to estimate the stable grading of the particles under the action of dynamic load, so that the accuracy is high, and the method is simple, convenient and reliable.
Description
Technical Field
The invention belongs to the technical field of geotechnical engineering, and relates to a stable grading determination method of construction waste reclaimed materials in roadbed application scenes.
Background
The disposal and recycling of construction waste is urgent. After being crushed and screened, the material is used in road engineering as a common recycling mode at present. Compared with the pavement structural material, the roadbed has lower requirement on the performance of the filling material, and does not need washing. When the construction waste reclaimed material is applied to roadbed filling, a large amount of land resources can be saved, and the construction waste reclaimed material which is not consumed in pavement engineering can be fully utilized.
Meanwhile, the components of the construction waste are complex, and the components and the contents of the waste generated by the buildings of different times and structure types are different, so that the construction waste has great variability. Even though construction waste is subjected to the processing technologies of crushing, screening and the like, the variability of regenerated mixtures is still large, and the aggregate shapes, sizes and composition components formed by different sources are greatly different. The mortar and the brick with large porosity have lower strength, and particles are easy to break under the repeated action of load, so that the mortar and the brick show obvious difference from the traditional filler, and the service performance of the reclaimed material roadbed is unstable. Therefore, the research on the stable grading of the reclaimed materials under the load effect is of great significance for guiding the filler design of the reclaimed material roadbed and ensuring the durability and stability of the service performance of the roadbed.
Disclosure of Invention
In order to solve the problems, the invention provides a method for determining the stable grading of the recycled building rubbish material in the roadbed application scene, which is used for estimating the particle crushing stable grading under the action of dynamic load instead of the traditional crushing and screening method in the nondestructive state of a test piece, so that the grading of the recycled rubbish material under the action of cyclic load is stable, the method is more in line with the actual application scene, and the accuracy is high, and the method is simple, convenient and reliable.
The technical scheme adopted by the invention is that the method for determining the stable grading of the construction waste reclaimed material in the roadbed application scene is characterized by comprising the following steps:
s1, establishing a continuous grading equation of reclaimed materials, and converting the value range of grading parameters b and m of the continuous grading equation in a good grading range;
s2, setting range values of confining pressure and bias stress based on stress states of reclaimed materials when the reclaimed materials are used for roadbed structure layers, and taking the range values as basic parameters of a dynamic triaxial test;
s3, performing a dynamic triaxial test, testing the corresponding volume deformation of the reclaimed material test piece under the loading conditions of different confining pressures and bias stresses in the confining pressure and bias stress ranges set in S2, and obtaining the volume deformation and the relative crushing rate B according to test results r Related relation of (3);
s4, simultaneous continuous grading equation and relative crushing rate B r Is a defined expression of (a), and the relative crushing rate B is calculated reversely r And substituting the corresponding grading parameters b and m into a continuous grading equation to obtain grading curves corresponding to different crushing degrees, thereby obtaining stable grading under corresponding states.
Further, in the step S1, the continuous grading equation is shown in formula (1):
wherein d i Is of any particle size, and is in mm; d, d max Maximum particle size in mm; p is the percentage of particles with the particle size smaller than a certain particle size; b and m are grading parameters.
Further, in the step S1, the value ranges of b and m in the good gradation range are determined by the formula (2):
setting the gradation parameter value of the initial gradation as b 0 ,m 0 The method comprises the steps of carrying out a first treatment on the surface of the Non-uniformity coefficient C u >5, and the curvature coefficient C c When the gradient is between 1 and 3, the gradient is good; d, d 10 、d 30 、d 60 The effective particle size, the median particle size and the limiting particle size, respectively.
Further, in S3, the relative crushing rate B r The definition expression of (3) is shown in the formula (3):
wherein B is p Is a crushing potential; b (B) t Is the total crushing amount; p (d) 0 ),P(d),P u (d) Dd represents the integration of the particle size d for the initial, current and final particle size distributions.
Further, in S3, the volume deformation and the relative crushing rate B r Is related to:
wherein ε v To deform volume, K 1 And K 2 Is a regression parameter.
Further, in S4, the relative crushing rate B r The corresponding grading parameters b, m are determined by the formula (9):
wherein the gradation parameter value of the initial gradation is b 0 ,m 0 。
Further, the method for determining the formula (9):
simultaneous grading equations (1) and (3) yield formula (5):
wherein P (d) 0 ) For initial grading, d min Is the minimum particle diameter, unit mm; dd represents integration of particle diameter d;
grading curve and d=d max The enclosed area S is expressed in integral form:
when k tends to 0, the area S can be expressed by substituting the expression (7) into the expression (6):
wherein d k The particle size is corresponding to the mass ratio smaller than a certain particle size on the grading curve when k is the mass ratio;
if the initial grading parameter b 0 ,m 0 And the post-crushing grading parameters are b and m, and the relative crushing rate is further converted into the parameter characterization by a grading equation according to the definition of the relative crushing rate of the particles, so that the formula (9) is obtained.
In the step S2, a plurality of representative values of confining pressure and bias stress are selected from large to small and are used as basic parameters of the dynamic triaxial test.
The beneficial effects of the invention are as follows:
1. the method fully considers the influence of dynamic load action on the crushing of the reclaimed material particles, predicts the relative crushing rate of the reclaimed material test piece according to confining pressure and bias stress, and is more in line with the actual application scene.
2. According to the invention, the limit breaking rate of the regenerated material can be estimated through the stress state by constructing the estimation model of the limit breaking rate, so that the stable grading is obtained, the grading change of the test piece in the test process is judged, and the basis is provided for reasonable design of the roadbed regenerated filler, and the method is simple, convenient and reliable.
3. When the roadbed is filled with the construction waste reclaimed materials, a large amount of particles are crushed, so that the problems of instable structure, insufficient strength and the like are solved.
Drawings
In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of an embodiment of the present invention.
Fig. 2 shows the values of the grading parameters b and m of good grading in the embodiment of the invention.
FIG. 3 is a definition of relative crushing rate in an embodiment of the present invention.
Fig. 4 is a schematic diagram of S calculation in an embodiment of the present invention.
FIG. 5a is a comparison of the measured and back-calculated gradations of test pieces 1# to 3# in the test example of the present invention.
FIG. 5b is a comparison of the measured and back-calculated gradations of test pieces # 4 to # 6 in the test example of the present invention.
FIG. 5c is a comparison of the measured and back-calculated gradations of test pieces 7# to 9# in the test example of the present invention.
Detailed Description
The technical solutions of the embodiments of the present invention will be clearly and completely described below in conjunction with the embodiments of the present invention, and it is apparent that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The basic idea of an embodiment of the invention is that:
the stable grading of the existing granular materials with respect to particle breakage under load is generally determined by breaking and sieving test pieces. And only the working condition under the action of static load is considered, and researches on particle crushing rules under the action of dynamic load are rarely considered; compared with a static load, the dynamic load has more complex stress state and more parameters, and the dynamic triaxial apparatus is more complex than the static triaxial apparatus in terms of measuring equipment. The reclaimed materials bear certain confining pressure and bear traffic load from the upper part under the roadbed application scene, and are dynamic load under the moving condition, and the reclaimed materials are difficult to accurately determine by adopting the existing mode.
Examples
A stable grading determination method of construction waste reclaimed materials in roadbed application scenes is shown in fig. 1, and comprises the following steps:
s1, grading design of reclaimed materials is carried out by referring to a continuous grading equation representing soil, wherein the continuous grading equation is shown in a formula (1), namely, the percentage content P smaller than a certain particle size d is described by using a unitary equation with the corresponding particle size d as an independent variable:
wherein d i Is of any particle size (mm); d, d max Maximum particle size (mm); p is the percentage (%) of particles with the particle size smaller than a certain particle size d; b and m are grading parameters.
In order to ensure that the grading of roadbed filler is continuous and in good condition, according to the grading technical requirements of coarse-grained soil in the Highway geotechnical test procedure (JTG 3430-2020), when the non-uniformity coefficient C u >5, and the curvature coefficient C c In the range of 1-3, the composition is in the category of good grading, and b and m are used for representing C u And C c The formula (2); the range of values of b and m in the good gradation range can be converted as shown by the hatched portion (gray area) in fig. 2. Setting the value b and m of the initial gradation as b 0 ,m 0 。
d 10 、d 30 、d 60 The particle sizes corresponding to the soil weight accumulation percentage content of 10%, 30% and 60% smaller than a certain particle size are respectively effective particle size, median particle size and limiting particle size; d, d 10 、d 30 、d 60 Can be calculated according to the grading curve of the formula (1).
S2, investigation and regeneration materials are applied to roadbed structure layersIn the state of stress under traffic load, the range values of the confining pressure p and the deflection stress q are set, and 3 representative values (p 1 ,p 2 ,p 3 ) And (q) 1 ,q 2 ,q 3 ) As a basic parameter of the dynamic triaxial test.
S3, manufacturing the regenerated material into a predetermined cylinder test piece according to preset compactness, water content, grading and the like, performing a cyclic dynamic load test (dynamic triaxial test), testing the volume deformation of the regenerated material under different loading conditions (namely, three groups of different confining pressures p and bias stresses q set in S2), obtaining grading curves under different loading conditions through particle screening, and calculating the relative crushing rate B according to a formula (3) through the tested grading curves r By using relative crushing rate B r The degree of particle breakage was quantified as shown in fig. 3.
Wherein B is p The crushing potential refers to the area between the initial grading and the final grading; b (B) t For the total crushing amount, it is equal to the area between the current gradation and the initial gradation in the gradation curve (the grid area in fig. 3); p (d) 0 ),P(d),P u (d) For initial, current and final particle size distributions, dd in equation (3) represents the integration of particle size d; the definition of the relative crushing rate assumes that all particles are specified to be eventually crushed to 0.075mm as the final crushed state.
Obtaining the correlation between the volume deformation and the particle breakage index according to the test result:
wherein ε v To deform volume, B r To relative crushing rate, K 1 And K 2 Is a regression parameter; based on the formula (4), the relative crushing rate B can be directly calculated according to the volume deformation r 。
S4, back-calculating two of the grading equations through the simultaneous grading equations (1) and (3)The parameter values (B, m) are substituted into the formula (1) to obtain grading curves corresponding to different crushing states (different particle crushing degrees under different stress states), thereby obtaining a relative crushing rate B r And the grading parameter (b, m), as shown in formula (5), after the known initial grading (P (d) 0 ) B) in the case of B r 、d max 、P(d 0 ) It is known that the grading curve can be estimated from the particle breakage index.
Grading curve and d=d max The area S enclosed by (maximum particle size) can be expressed in integral form:
when k tends to 0, formula (7) is substituted into formula (6), and area S can be represented by formula (8), as shown in fig. 4:
wherein d k The particle size corresponding to the mass ratio k smaller than a certain particle size on the grading curve.
If the initial gradation parameters (b) 0 ,m 0 ) The grading parameters after crushing are (b, m), and according to the definition of the particle crushing index, the index can be further converted into parameters represented by a grading equation, and the parameters are converted to obtain a pre-estimated model of the limit crushing rate:
s5, substituting (b, m) into the grading equation to obtain a corresponding grading curve. Relative crushing according to the formula (9)Rate B r Is related to the grading parameters b and m, and b o ,m o It is known that the relative crushing ratios B are different r Substituting the corresponding b and m into a grading equation of the formula (1) to obtain stable grading under a corresponding state; the stable grading refers to the grading finally achieved by the regenerated material after the particles are crushed.
The embodiment of the invention firstly uses the particle breakage index (relative breakage rate B) r ) And the method is simpler and more efficient compared with the existing complex and poor-precision technical method. In addition, the existing method for grading and crushing particles of the particle materials aims at the stress state of static load, the embodiment of the invention provides a prediction model for dynamic load, the method is closer to the actual engineering application scene, and the prediction result is more reliable.
In the case of the test example,
taking test piece results of 10000 times loaded in the test as an example, the values of the grading parameters b and m after 9 groups of tests are obtained according to the method of the embodiment of the invention, and are shown in table 1. Substituting b and m into the grading equation, namely formula (1), and back calculating a grading curve to obtain the pre-estimated grading in the dynamic triaxial test process. Aiming at test pieces 1# to 9# with different initial gradations, comparing a test gradation curve with a pre-estimated gradation curve (taking a certain characteristic particle size commonly used in actual application scenes, pre-estimating the gradations of different initial gradation samples by the method of the embodiment of the invention, and drawing the pre-estimated gradation curve), and finding that the inverse calculation result (i.e. the pre-estimated gradation curve of the embodiment of the invention) has higher coincidence degree with the test result, as shown in figures 5a to 5 c. By analyzing the test value and the predicted value of the relative crushing rate, the difference value of the test value and the predicted value can be controlled within 0.1, so that the accuracy of the estimated result is higher by adopting the method provided by the embodiment of the invention.
Table 1 post-test grading equation parameter back calculation statistics
|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
b | 0.475 | 0.381 | 0.385 | 0.455 | -0.389 | 0.414 | 0.495 | 0.518 | 0.445 |
m | -0.095 | -0.085 | -0.084 | -0.094 | -0.087 | -0.089 | -0.099 | -0.097 | -0.090 |
According to the embodiment of the invention, in a nondestructive test piece state, the crushing degree of the particles under the action of dynamic load is estimated by replacing the traditional crushing and screening method, and the stable grading is determined through the conversion among indexes. The invention perfectly solves the problems of more parameters and great realization difficulty, can predict the particle crushing degree and the stable grading by only two parameters, and provides a scientific and effective technical means for the prediction of the particle crushing degree and the stable grading of the reclaimed materials under dynamic load.
The foregoing description is only of the preferred embodiments of the present invention and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention are included in the protection scope of the present invention.
Claims (8)
1. The stable grading determination method of the construction waste reclaimed material in the roadbed application scene is characterized by comprising the following steps of:
s1, establishing a continuous grading equation of reclaimed materials, and converting the value range of grading parameters b and m of the continuous grading equation in a good grading range;
s2, setting range values of confining pressure and bias stress based on stress states of reclaimed materials when the reclaimed materials are used for roadbed structure layers, and taking the range values as basic parameters of a dynamic triaxial test;
s3, performing a dynamic triaxial test, testing the corresponding volume deformation of the reclaimed material test piece under the loading conditions of different confining pressures and bias stresses in the confining pressure and bias stress ranges set in S2, and obtaining the volume deformation and the relative crushing rate B according to test results r Related relation of (3);
s4, simultaneous continuous grading equation and relative crushing rate B r Is a defined expression of (a), and the relative crushing rate B is calculated reversely r The corresponding grading parameters b and m are substituted into a continuous grading equation to obtainAnd (5) grading curves corresponding to different crushing degrees so as to obtain stable grading under corresponding states.
2. The method for determining the stable grading of the construction waste reclaimed material in the roadbed application scene according to claim 1, wherein in the step S1, the continuous grading equation is shown in the formula (1):
wherein d i Is of any particle size, and is in mm; d, d max Maximum particle size in mm; p is the percentage of particles with the particle size smaller than a certain particle size; b and m are grading parameters.
3. The method for determining the stable grading of the construction waste reclaimed material in the roadbed application scene according to claim 1, wherein in the step S1, the value ranges of b and m in the good grading range are determined by the formula (2):
setting the gradation parameter value of the initial gradation as b 0 ,m 0 The method comprises the steps of carrying out a first treatment on the surface of the Non-uniformity coefficient C u >5, and the curvature coefficient C c When the gradient is between 1 and 3, the gradient is good; d, d 10 、d 30 、d 60 The effective particle size, the median particle size and the limiting particle size, respectively.
4. The method for determining the stable gradation of the construction waste reclaimed material in the roadbed application scene according to claim 1, wherein in S3, the relative crushing rate B is as follows r The definition expression of (3) is shown in the formula (3):
wherein B is p Is a crushing potential; b (B) t Is the total crushing amount; p (d) 0 ),P(d),P u (d) Dd represents the integration of the particle size d for the initial, current and final particle size distributions.
5. The method for determining the stable gradation of the construction waste reclaimed material in the roadbed application scene according to claim 1, wherein in S3, the volume deformation and the relative crushing rate B r Is related to:
wherein ε v To deform volume, K 1 And K 2 Is a regression parameter.
6. The method for determining the stable grading of the construction waste reclaimed materials in the roadbed application scene according to claim 2, wherein in the step S4, the relative crushing rate B is as follows r The corresponding grading parameters b, m are determined by the formula (9):
wherein the gradation parameter value of the initial gradation is b 0 ,m 0 。
7. The method for determining the stable gradation of construction waste reclaimed materials in a roadbed application scene according to claim 6, wherein the method for determining the formula (9) is as follows:
simultaneous grading equations (1) and (3) yield formula (5):
wherein P (d) 0 ) For initial grading, d min Is the minimum particle diameter, unit mm; dd represents integration of particle diameter d;
grading curve and d=d max The enclosed area S is expressed in integral form:
when k tends to 0, the area S can be expressed by substituting the expression (7) into the expression (6):
wherein d k The particle size is corresponding to the mass ratio smaller than a certain particle size on the grading curve when k is the mass ratio;
if the initial grading parameter b 0 ,m 0 And the post-crushing grading parameters are b and m, and the relative crushing rate is further converted into the parameter characterization by a grading equation according to the definition of the relative crushing rate of the particles, so that the formula (9) is obtained.
8. The method for determining the stable grading of the construction waste reclaimed material in the roadbed application scene according to claim 1, wherein in the step S2, a plurality of representative values of confining pressure and bias stress are selected from large to small and are used as basic parameters of a dynamic triaxial test.
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