CN115098921A - Building solid waste-red clay mixed roadbed filling permanent deformation estimation model and modeling and estimation method - Google Patents
Building solid waste-red clay mixed roadbed filling permanent deformation estimation model and modeling and estimation method Download PDFInfo
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Abstract
The invention discloses a building solid waste-red clay mixed roadbed filler permanent deformation estimation model and a modeling and estimation method, wherein the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed roadbed filler under different building solid waste doping rates are determined through a compaction test and a California bearing ratio test; preparing building solid waste-red clay samples with different building solid waste doping rates, performing a dry-wet cycle test on the building solid waste-red clay samples, performing a triaxial test on the building solid waste-red clay samples subjected to the preset dry-wet cycle times, and measuring the resilience modulus and the permanent deformation of the building solid waste-red clay samples; and establishing an elastic deformation increment estimation model comprehensively considering the building solid waste doping rate and the dry-wet cycle times, further obtaining a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state, the cycle loading times, the building solid waste doping rate and the dry-wet cycle times, and then accurately and quickly estimating the permanent deformation of the building solid waste-red clay mixed roadbed filler by using the permanent deformation estimation model.
Description
Technical Field
The invention belongs to the technical field of road engineering, and relates to a model and a modeling and estimating method for estimating permanent deformation of a building solid waste-red clay mixed roadbed filler.
Background
The red clay is widely distributed in the damp and hot areas in south China, and with the rapid development of traffic infrastructure construction in the areas, the red clay adopted as roadbed filling materials in the areas poor in road building materials is difficult to avoid. However, red clay is a typical unsaturated clay with high plasticity and high dispersibility, and engineering characteristics such as multi-crack, water absorption expansion, water loss contraction and the like make the red clay roadbed easily deform greatly and even be damaged by overall instability under the combined action of a damp-heat environment and a dynamic load of a vehicle. Therefore, in order to ensure the stability and durability of the red clay roadbed in the operation period, domestic and foreign scholars conduct many researches on treatment methods of the red clay roadbed. The common disposal methods in the prior engineering are mostly added with admixture (such as cement and quicklime), but the improvement method belongs to the category of chemical improvement, has short effective period and has certain adverse effect on the environment. On the other hand, with the vigorous advance of infrastructure construction and urbanization in China, the amount of correspondingly generated building solid waste is rapidly increasing, a huge amount of building solid waste which is difficult to dispose of severely restricts the sustainable development of cities, and the problems of effective recovery, disposal and reuse are urgently needed to be solved.
The permanent deformation is used as an important mechanical index for representing the deformation and stability of the roadbed, and the scientific evaluation of the permanent deformation characteristic of the building solid waste-red clay mixed filler under the dry-wet cycle condition has important significance. Generally, the indoor triaxial test is a commonly accepted method of determining permanent set. However, considering the high cost, long time consumption and the requirement of professional personnel for operation, the triaxial test cannot accurately and rapidly obtain the permanent deformation of the building solid waste-red clay mixed filler under the dry-wet cycle condition. Currently, scholars at home and abroad usually adopt three methods for determining permanent deformation: the first is determined by an empirical method, but the permanent deformation of each given road-based filler has a large variation range, and quantitative analysis cannot be carried out. The second method is to establish a more complex constitutive model to simulate each cycle process, and the method needs to memorize the yield surface generated in each cycle process in the calculation process, so that the calculation amount is large, and the method is difficult to popularize and apply in engineering. The third method is to estimate permanent deformation through a dynamic triaxial test and a Tseng model in the Mechanistic-Empirical mode Design Guide (MEPDG) specification, wherein the Tseng model has the characteristics of few model parameters, wide application range and the like, but the model has incomplete consideration factors and ignores the influence of dry-wet circulation, stress variables and state variables.
Disclosure of Invention
In order to solve the above problems, embodiments of the present invention provide a model for estimating permanent deformation of a building solid waste-red clay mixed roadbed filler, and a modeling and estimating method thereof, so as to solve the problems that the existing method for chemically improving the stability of a red clay roadbed has a short validity period and has adverse effects on the environment, and that the permanent deformation of the roadbed cannot be determined more accurately and quickly.
The technical scheme adopted by the embodiment of the invention is that the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filling is a permanent deformation estimation model comprehensively considering the stress-strain relation, the physical state and the cyclic loading times, and is shown as the following formula:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, σ 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 Are model parameters.
The second technical scheme adopted by the embodiment of the invention is that the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filling material is a permanent deformation estimation model comprehensively considering the stress-strain relation, the physical state, the cyclic loading times and the building solid waste mixing rate, and is shown as the following formula:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, λ CDW For the building solid waste incorporation efficiency, sigma 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress σ 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 、b 1 、b 2 、b 3 、b 4 Are model parameters.
The third technical scheme adopted by the embodiment of the invention is that the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filling material is a permanent deformation estimation model comprehensively considering the stress-strain relation, the physical state, the cyclic loading times, the elastic deformation increment and the dry and wet cycle times, and is shown as the following formula:
wherein (ε) p ) i Permanent set at the i-th wet-dry cycle, N DW Number of dry and wet cycles, N load For cyclic loading times, λ CDW The doping rate of the solid wastes of the building is shown; sigma 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w As humidity ratio, CBR as CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 、b 1 、b 2 、b 3 、b 4 、c 1 、c 2 、c 3 、d 1 、d 2 、d 3 、d 4 、d 5 Are model parameters.
Further, α 1 ＝0.187，α 2 ＝0.213，α 3 ＝0.317，α 4 ＝16.477，α 5 ＝0.037。
Further, b 1 ＝0.002，b 2 ＝0.187，b 3 ＝0.187，b 4 ＝0.037。
Further, c 1 ＝0.318，c 2 ＝-0.011，c 3 ＝-0.507；d 1 ＝2.659，d 2 ＝-0.396，d 3 ＝-0.126，d 4 ＝1.626，d 5 ＝-0.879。
The fourth technical scheme adopted by the embodiment of the invention is that the modeling method of the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filler comprehensively considering the stress-strain relation, the physical state and the cyclic loading times is carried out according to the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed filler through a compaction test and a California bearing ratio test;
preparing a building solid waste-red clay sample, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay sample, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste-red clay sample under different cyclic loading times;
based on the test results of the compaction test, the California bearing ratio test and the triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state and the cyclic loading times is established.
The fifth technical scheme adopted by the embodiment of the invention is that the modeling method of the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filler comprehensively considering the stress-strain relation, the physical state, the cyclic loading times and the building solid waste doping rate is carried out according to the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed roadbed filler under different building solid waste doping rates through a compaction test and a California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay samples, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste doping rates and cyclic loading times of the samples;
establishing a relational expression between the modulus of resilience and the doping rate of the building solid waste based on the triaxial test result;
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state, the cyclic loading times and the building solid waste mixing rate is established.
The sixth technical scheme adopted by the embodiment of the invention is that the modeling method of the building solid waste-red clay mixed roadbed filler permanent deformation estimation model comprehensively considering the stress-strain relation, the physical state, the cyclic loading times, the elastic deformation increment and the dry and wet cycle times is carried out according to the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed filler under different building solid waste doping rates through a compaction test and a California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, and performing a dry-wet cycle test on the building solid waste-red clay samples;
carrying out a triaxial test on the sample subjected to the preset dry-wet cycle times, measuring the resilience modulus and the permanent deformation of the sample, and analyzing the resilience modulus and the permanent deformation characteristics of the sample under different building solid waste doping rates and cyclic loading times;
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, establishing a permanent deformation estimation model comprehensively considering the stress-strain relation, the physical state and the cyclic loading times:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, σ 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r is d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 Is a model parameter;
based on the triaxial test result, establishing a relational expression between the modulus of resilience and the doping rate of the building solid waste:
M R ＝b 1 λ CDW 3 +b 2 λ CDW 2 +b 3 λ CDW +b 4 ； (2)
wherein λ is CDW For the building solid waste incorporation efficiency, b 1 、b 2 、b 3 、b 4 Is a model parameter;
constructing a rebound modulus ratio, and establishing a rebound modulus ratio estimation model comprehensively considering the building solid waste doping rate and the dry-wet cycle times based on the test results of the dry-wet cycle test and the triaxial test:
wherein M is the modulus of resilience ratio,. DELTA.M R In increments of spring change, N DW Number of dry and wet cycles, c 1 、c 2 、c 3 Is a model parameter;
establishing a rebound modulus ratio estimation model comprehensively considering the solid waste doping rate and the dry-wet cycle number of the building based on the rebound modulus ratio estimation model and the relation between the rebound modulus and the solid waste doping rate of the building:
based on the established permanent deformation estimation model and the elastic deformation increment estimation model which comprehensively consider the stress-strain relationship, the physical state and the cyclic loading times, the permanent deformation estimation model which comprehensively considers the stress-strain relationship, the physical state, the cyclic loading times, the building solid waste doping rate and the dry-wet cycle times is established through the following formula:
(ε p ) i ＝(ε p ) 0 +Δ(ε p )； (6)
wherein (ε) p ) i Is the permanent set at the i-th wet-dry cycle, Delta (. epsilon.) p ) Difference between permanent set at i-th wet-dry cycle and 0-th wet-dry cycle, d 1 、d 2 、d 3 、d 4 、d 5 Are model parameters.
The seventh technical scheme adopted by the embodiment of the invention is that the permanent deformation estimation method of the building solid waste-red clay mixed roadbed filler adopts the building solid waste-red clay mixed roadbed filler permanent deformation estimation model to estimate the permanent deformation of the building solid waste-red clay mixed roadbed filler.
The invention has the beneficial effects that: based on the influence of cyclic loading times, stress-strain relations (large main stress, small main stress and rebound modulus), physical states (density ratio, water ratio and CBR value), mixed filler component factors (building solid waste doping rate) and environmental factors (dry-wet cycle times) on the permanent deformation of the building solid waste-red clay mixed roadbed filler, a building solid waste-red clay mixed roadbed filler permanent deformation estimation model comprehensively considering the cyclic loading times, the stress-strain relations (large main stress, small main stress and rebound modulus), the physical states (density ratio, water ratio and CBR value), the mixed filler component factors (building solid waste doping rate) and the environmental factors (dry-wet cycle times) is established, and the prediction of the permanent deformation of the building solid waste-red clay roadbed filler under different conditions is realized; meanwhile, the model has definite physical significance and simple structure, and the permanent deformation value of the building solid waste-red clay mixed roadbed filler under the coupling action of the corresponding working conditions can be obtained only by inputting the corresponding working conditions into the model, so that the test time consumption is greatly reduced, the test difficulty is reduced, obvious engineering convenience is provided for units without triaxial test conditions, and the model has higher market popularization value; compared with the prior art, the method can conveniently, quickly and accurately obtain the permanent deformation of the building solid waste-red clay mixed roadbed filler under different conditions, conveniently guide the design and construction of the building solid waste in a roadbed structure, realize green and economic double management, can be popularized to the design and detection of other similar materials, and has wide application value; the method solves the problems that the existing method for chemically improving the stability of the red clay roadbed has short validity period and adverse effect on the environment, and the permanent deformation of the roadbed can not be determined more accurately and rapidly at present.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a flow chart of a method in an embodiment of the invention.
FIG. 2(a) is a graph showing the development rule of the maximum dry density of the mixed filler at different building solid waste incorporation rates.
FIG. 2(b) is a development law diagram of the optimal water content of the mixed filler under different building solid waste doping rates.
FIG. 2(c) is a graph showing the CBR value of the mixed filler at different building solid waste incorporation rates.
FIG. 3 is a graph showing the development of modulus of resilience.
FIG. 4 is a graph showing the development of the modulus of elasticity ratio M.
Fig. 5 is a diagram showing the development rule of permanent deformation.
FIG. 6 is a graph of permanent set versus cycle load times.
FIG. 7 shows the robustness verification result of the model constructed by the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Example 1
The embodiment provides a modeling method of a building solid waste-red clay mixed roadbed filling permanent deformation estimation model, which comprises the following steps:
carrying out compaction test and California Bearing Ratio (CBR) test according to Highway geotechnical test regulation (JTG 3430-;
preparing a building solid waste-red clay sample, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay sample, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste-red clay sample under different cyclic loading times;
based on the test results of the compaction test, the California bearing ratio test and the triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state and the cyclic loading times is established, and the formula (1) is as follows:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, σ 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is the modulus of resilience, R d Is the density ratio (i.e. theDry density to maximum dry density ratio), R w The humidity ratio (i.e. the ratio of the water content to the optimal water content), the CBR value, and the large principal stress sigma 1 Small principal stress σ 3 And modulus of resilience M R Density ratio R for stress-strain relationship d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 The fitting results are shown in Table 1 for the model parameters, and it can be seen from Table 1 that the correlation coefficient R 2 Is 0.98, and the estimation precision is high.
TABLE 1 statistical table of fitting results of formula (1)
| α 1 | α 2 | α 3 | α 4 | α 5 | R 2 |
| 0.187 | 0.213 | 0.317 | 16.477 | 0.037 | 0.98 |
Example 2
The embodiment provides a modeling method of a building solid waste-red clay mixed roadbed filling permanent deformation estimation model, which comprises the following steps:
carrying out compaction test and California Bearing Ratio (CBR) test according to Highway geotechnical test regulation (JTG 3430) and 2020), and determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed roadbed filler under different building solid waste doping rates through the compaction test and the California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay samples, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste samples under different building solid waste doping rates and cyclic loading times;
based on the triaxial test result, a relational expression of the resilience modulus and the building solid waste doping rate is established, and the relational expression is shown in a formula (2):
M R ＝b 1 λ CDW 3 +b 2 λ CDW 2 +b 3 λ CDW +b 4 ； (2)
wherein λ is CDW For the building solid waste incorporation efficiency, b 1 、b 2 、b 3 、b 4 Is a model parameter;
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, establishing a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state, the cyclic loading times and the building solid waste doping rate:
model parameter b 1 、b 2 、b 3 、b 4 The fitting results of (A) are shown in Table 2, and it can be seen from Table 2 that the correlation coefficient R is 2 The estimated accuracy is high, which is 0.97.
TABLE 2 statistical table of fitting results of formula (2)
| b 1 | b 2 | b 3 | b 4 | R 2 |
| 0.002 | -0.224 | 3.851 | 100.07 | 0.97 |
Example 3
The embodiment provides a modeling method of a building solid waste-red clay mixed roadbed filling permanent deformation estimation model, as shown in fig. 1, the modeling method comprises the following steps:
carrying out compaction test and California Bearing Ratio (CBR) test according to Highway geotechnical test regulation (JTG 3430) and 2020), and determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed roadbed filler under different building solid waste doping rates through the compaction test and the California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, and performing a dry-wet cycle test on the building solid waste-red clay samples;
carrying out a triaxial test on the sample subjected to the preset dry-wet cycle times, measuring the resilience modulus and the permanent deformation of the sample, and analyzing the resilience modulus and the permanent deformation (elastoplasticity) characteristics of the sample under different building solid waste doping rates and cyclic loading times;
based on the test results of a compaction test, a California bearing ratio test, a dry-wet cycle test and a triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship (large main stress, small main stress and resilience modulus), the physical state (density ratio, water content ratio and CBR value), the mixed filler component factor (building solid waste mixing rate), the cycle loading frequency and the environmental factor (dry-wet cycle frequency) is established.
Based on the test results of a compaction test, a California bearing ratio test, a dry-wet cycle test and a triaxial test, the concrete process of establishing a permanent deformation estimation model comprehensively considering the stress-strain relationship (large main stress, small main stress and resilience modulus), the physical state (density ratio, water content ratio and CBR value), the mixed filler component factor (building solid waste doping rate), the cycle loading frequency and the environmental factor (dry-wet cycle frequency) is as follows:
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, establishing a permanent deformation estimation model comprehensively considering stress-strain relationship (large main stress, small main stress and resilience modulus), physical states (density ratio, water content ratio and CBR value) and cyclic loading times, wherein the permanent deformation estimation model is shown as a formula (1);
establishing a relational expression between the modulus of resilience and the doping rate of the building solid waste based on the triaxial test result, wherein the relational expression is shown as a formula (2);
constructing a rebound modulus ratio, obtaining a figure 4 based on test results of a dry-wet cycle test and a triaxial test, and establishing a rebound modulus ratio estimation model comprehensively considering component factors (building solid waste doping rate) and environmental factors (dry-wet cycle times) of the mixed filler based on the figure 4, wherein the formula (4) is as follows:
wherein M is the modulus of resilience ratio,. DELTA.M R In increments of spring change, N DW Number of dry and wet cycles, c 1 、c 2 、c 3 Is a model parameter;
based on a rebound modulus ratio estimation model and a relation between the rebound modulus and the building solid waste doping rate, establishing a rebound variation increment estimation model comprehensively considering the mixed filler component factor (building solid waste doping rate) and the environmental factor (dry-wet cycle times), as shown in formula (5):
based on the established comprehensive consideration stress-strain relationship (large main stress, small main stress and resilience modulus), the physical state (density ratio, water content ratio and CBR value), the permanent deformation estimation model of the cyclic loading times and the elastic deformation increment estimation model, the permanent deformation estimation model of the comprehensive consideration stress-strain relationship (large main stress, small main stress and resilience modulus), the physical state (density ratio, water content ratio and CBR value), the cyclic loading times, the mixed filler component factor (building solid waste mixing rate) and the environmental factor (dry-wet cycle times) is established by the following formula:
(ε p ) i ＝(ε p ) 0 +Δ(ε p )； (6)
wherein (ε) p ) i Is the permanent set at the i-th wet-dry cycle, Delta (. epsilon.) p ) The difference between the permanent set at the i-th wet-dry cycle and at 0 wet-dry cycle, d 1 、d 2 、d 3 、d 4 、d 5 Is a model parameter;
and then obtaining a permanent deformation estimation model comprehensively considering stress-strain relationship (large main stress, small main stress and resilience modulus), physical state (density ratio, water content ratio and CBR value), cyclic loading times, mixed filler component factors (building solid waste doping rate) and environmental factors (dry and wet cycle times) as follows:
model parameter c 1 、c 2 、c 3 The fitting results are shown in table 3: as can be seen from Table 3, the correlation coefficient R 2 The estimated accuracy is high, which is 0.96.
TABLE 3 statistical table of fitting results of formula (4)
| c 1 | c 2 | c 3 | R 2 |
| 0.318 | -0.011 | -0.507 | 0.96 |
Model parameter d 1 、d 2 、d 3 、d 4 、d 5 The fitting results of (A) are shown in Table 4, and it can be seen from Table 4 that the correlation coefficient R is 2 Is 0.95, and the estimation precision is high.
TABLE 4 statistical table of fitting results of equation (7)
| d 1 | d 2 | d 3 | d 4 | d 5 | R 2 |
| 2.659 | -0.396 | -0.126 | 1.626 | -0.879 | 0.95 |
The compaction test comprises the following specific steps:
drying the building solid waste and the red clay required by the test for 24 hours;
sequentially preparing building solid waste-red clay sample materials with the building solid waste doping rates of 0%, 10%, 20%, 30%, 40% and 50%, and completing the preparation of water content according to the gradient difference of 2%;
after the preparation is finished and the material is subjected to stuffy treatment for 24 hours, a heavy compaction method is selected to compact the building solid waste-red clay, wherein the compaction frequency of each layer is 98 times;
after compaction, selecting the central part of the test piece to determine the maximum dry density and the optimal water content.
Meanwhile, according to the compaction test steps, workpieces are manufactured by selecting the same compaction times, and the moisture content of the test piece is selected to be optimal; and (3) after the finished piece is soaked in water for four days and nights, performing a penetration process, comparing the unit pressures when the penetration amount is 2.5mm and 5mm, and calculating the CBR value.
The maximum dry density and the optimum water content of the building solid waste-red clay mixed roadbed filling material under different doping rates are changed as shown in fig. 2(a) and fig. 2 (b). It can be easily seen that the maximum dry density of the building solid waste-red clay mixed filler shows a trend of increasing first and then decreasing along with the increase of the building solid waste doping rate, and the optimal water content of the building solid waste-red clay mixed filler gradually decreases along with the increase of the building solid waste doping rate. The CBR values of the building solid waste-red clay mixed roadbed filling under different doping rates change as shown in fig. 2(c), and it can be easily seen that the CBR values of the building solid waste-red clay mixed roadbed filling gradually increase with the increase of the doping rate of the building solid waste.
When building solid waste-red clay samples with different building solid waste doping rates are prepared, cylindrical building solid waste-red clay mixed samples with the density ratio of 0.96, the humidity ratio of 1 and the building solid waste doping rates of 0, 10%, 20%, 30%, 40% and 50% are prepared, and the diameter of each sample is 10cm, and the height of each sample is 20 cm. Then, the sample is put into a high-low temperature alternating testing machine to carry out a dry-wet cycle test, wherein the dry-wet cycle times are 0 time, 1 time, 2 times, 3 times, 4 times and 5 times. The method simulates the influence of dry-wet circulation on roads in humid and hot areas in south China as much as possible, and a complete dry-wet circulation period is set as follows: the sample was soaked in water vapor in a sealed box for 24 hours and then oven dried at 105 ℃ for 24 hours.
When the elastic (resilience modulus) plastic (permanent deformation) property of a building solid waste-red clay sample subjected to the preset dry-wet cycle times is measured by a triaxial test, the load form is a half sine wave, the frequency is lHz, the loading time is 0.2s, the intermittence time is 0.8s, the major principal stress is 90kPa, and the minor principal stress is 30 kPa. The development rule of the rebound modulus of the building solid waste-red clay sample is shown in figure 3, the development rule of the rebound modulus ratio M is shown in figure 4, the development rule of the permanent deformation is shown in figure 5, and the relationship between the permanent deformation and the cyclic loading frequency is shown in figure 6.
In order to determine the rationality and applicability of the estimation method for permanent deformation of the building solid waste-red clay mixed roadbed filler considering dry-wet circulation, which is provided by the embodiment, permanent deformation test data of the building solid waste-red clay mixed roadbed filler under the working condition shown in table 5 is substituted into formula (8) to estimate the permanent deformation of the corresponding building solid waste-red clay mixed roadbed filler, and a robustness verification scatter diagram is drawn by taking the permanent deformation measured value as an abscissa and taking the estimated value obtained by formula (8) as an ordinate, as shown in fig. 7. It is easy to see that most of the scattered points are concentrated around the straight line y ═ x. Therefore, the estimated permanent deformation value obtained by the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filling material of the newly-built formulas (5) to (6) in the embodiment has strong representativeness, and meets the requirement of general engineering.
TABLE 5 corresponding operating conditions for the new model verification in this embodiment
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention shall fall within the protection scope of the present invention.
Claims (10)
1. The model for estimating the permanent deformation of the building solid waste-red clay mixed roadbed filling is characterized in that the model for estimating the permanent deformation comprehensively considering the stress-strain relation, the physical state and the cyclic loading times is shown as the following formula:
wherein (ε) p ) 0 Permanent set of 0 cycles of drying and wetting, N load To number of cyclic loads, σ 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress σ 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 Are model parameters.
2. The model for estimating the permanent deformation of the building solid waste-red clay mixed roadbed filling is characterized in that the model is a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state, the cyclic loading times and the building solid waste mixing rate and is shown as the following formula:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, λ CDW For the building solid waste incorporation efficiency, sigma 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w As humidity ratio, CBR as CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 、b 1 、b 2 、b 3 、b 4 Are model parameters.
3. The model for estimating the permanent deformation of the building solid waste-red clay mixed roadbed filling is characterized in that the model is an estimation model for estimating the permanent deformation by comprehensively considering the stress-strain relation, the physical state, the cyclic loading times, the elastic deformation increment and the dry-wet cycle times, and is shown as the following formula:
wherein (epsilon) p ) i Permanent set at the i-th wet-dry cycle, N DW Number of dry and wet cycles, N load For cyclic loading times, λ CDW The doping rate of the solid wastes of the building is shown; sigma 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is stress-strainA relationship; r d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 、b 1 、b 2 、b 3 、b 4 、c 1 、c 2 、c 3 、d 1 、d 2 、d 3 、d 4 、d 5 Are model parameters.
4. The model for estimating permanent deformation of building solid waste-red clay mixed roadbed filler according to any one of claims 1 to 3, wherein alpha is 1 ＝0.187，α 2 ＝0.213，α 3 ＝0.317，α 4 ＝16.477，α 5 ＝0.037。
5. The model for estimating permanent deformation of construction solid waste-red clay mixed roadbed filling material according to claim 2 or 3, wherein b is 1 ＝0.002，b 2 ＝0.187，b 3 ＝0.187，b 4 ＝0.037。
6. The model for estimating permanent deformation of construction solid waste-red clay mixed roadbed filling material according to claim 3, wherein c is 1 ＝0.318，c 2 ＝-0.011，c 3 ＝-0.507；d 1 ＝2.659，d 2 ＝-0.396，d 3 ＝-0.126，d 4 ＝1.626，d 5 ＝-0.879。
7. The modeling method of the building solid waste-red clay mixed roadbed filler permanent deformation estimation model according to claim 1, characterized by comprising the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed filler through a compaction test and a California bearing ratio test;
preparing a building solid waste-red clay sample, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay sample, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste-red clay sample under different cyclic loading times;
based on the test results of the compaction test, the California bearing ratio test and the triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state and the cyclic loading times is established.
8. The modeling method of the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filler according to claim 2, characterized by comprising the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed filler under different building solid waste doping rates through a compaction test and a California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, performing a triaxial test, measuring the resilience modulus and the permanent deformation of the building solid waste-red clay samples, and analyzing the resilience modulus and the permanent deformation characteristics of the building solid waste samples under different building solid waste doping rates and cyclic loading times;
establishing a relational expression between the modulus of resilience and the doping rate of the building solid waste based on the triaxial test result;
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state, the cyclic loading times and the building solid waste mixing rate is established.
9. The modeling method of the building solid waste-red clay mixed roadbed filler permanent deformation estimation model according to claim 3, characterized by comprising the following steps:
determining the maximum dry density, the optimal water content and the CBR value of the building solid waste-red clay mixed roadbed filler under different building solid waste doping rates through a compaction test and a California bearing ratio test;
preparing building solid waste-red clay samples with different building solid waste doping rates, and performing a dry-wet cycle test on the building solid waste-red clay samples;
carrying out a triaxial test on the sample subjected to the preset dry-wet cycle times, measuring the resilience modulus and the permanent deformation of the sample, and analyzing the resilience modulus and the permanent deformation characteristics of the sample under different building solid waste doping rates and cyclic loading times;
based on the test results of a compaction test, a California bearing ratio test and a triaxial test, establishing a permanent deformation estimation model comprehensively considering the stress-strain relationship, the physical state and the cyclic loading times:
wherein (ε) p ) 0 Permanent set for 0 wet and dry cycles, N load For cyclic loading times, σ 1 Is a large principal stress, σ 3 Is a small principal stress, M R Is modulus of resilience, large principal stress sigma 1 Small principal stress sigma 3 And modulus of resilience M R Is a stress-strain relationship; r d Is a density ratio, R w For humidity ratio, CBR is CBR value, density ratio R d Humidity ratio R w And CBR is in a physical state; alpha is alpha 1 、α 2 、α 3 、α 4 、α 5 Is a model parameter;
based on the triaxial test result, establishing a relational expression between the modulus of resilience and the doping rate of the building solid waste:
M R ＝b 1 λ CDW 3 +b 2 λ CDW 2 +b 3 λ CDW +b 4 ； (2)
wherein λ is CDW For the building solid waste incorporation rate, b 1 、b 2 、b 3 、b 4 Is a model parameter;
constructing a rebound modulus ratio, and establishing a rebound modulus ratio estimation model comprehensively considering the building solid waste doping rate and the dry-wet cycle times based on the test results of the dry-wet cycle test and the triaxial test:
wherein M is the modulus of resilience ratio,. DELTA.M R In increments of spring change, N DW Number of dry and wet cycles, c 1 、c 2 、c 3 Is a model parameter;
establishing a rebound modulus ratio estimation model comprehensively considering the solid waste doping rate and the dry-wet cycle number of the building based on the rebound modulus ratio estimation model and the relation between the rebound modulus and the solid waste doping rate of the building:
based on the established permanent deformation estimation model and the elastic deformation increment estimation model which comprehensively consider the stress-strain relationship, the physical state and the cyclic loading times, the permanent deformation estimation model which comprehensively considers the stress-strain relationship, the physical state, the cyclic loading times, the building solid waste doping rate and the dry-wet cycle times is established through the following formula:
(ε p ) i ＝(ε p ) 0 +Δ(ε p )； (6)
wherein (ε) p ) i Is the permanent set at the i-th wet-dry cycle, Delta (. epsilon.) p ) The difference between the permanent set at the i-th wet-dry cycle and at 0 wet-dry cycle, d 1 、d 2 、d 3 、d 4 、d 5 Are model parameters.
10. The method for estimating the permanent deformation of the building solid waste-red clay mixed roadbed filler is characterized in that the permanent deformation estimation model of the building solid waste-red clay mixed roadbed filler according to any one of claims 1 to 3 or 6 is adopted to estimate the permanent deformation of the building solid waste-red clay mixed roadbed filler.
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