CN115096759A - Concrete chloride ion diffusion coefficient model and application thereof - Google Patents
Concrete chloride ion diffusion coefficient model and application thereof Download PDFInfo
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Abstract
The invention discloses a concrete chloride ion diffusion coefficient model and application thereof, wherein the concrete chloride ion diffusion coefficient model comprises a formula I:
formula ii: d 0,p ≤D 0 ‑1.645σ D And formula iii: d 0 ’≤D 0,p ；D 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after vibration stirring; d 0 The initial upper limit value of the concrete chloride ion diffusion coefficient; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the chloride ion diffusion coefficient; the application of the concrete chloride ion diffusion coefficient model is to obtain a t value from the model; vibrating and stirring the concrete mixture under the condition of t as time to obtain the optimal chloride ion penetration resistanceAnd (3) concrete.
Description
Technical Field
The invention relates to a concrete chloride ion diffusion coefficient model and application thereof, belonging to the technical field of industrial material preparation.
Background
With the continuous deepening of the development of marine resources, China builds a large number of marine infrastructures such as harbor wharfs, cross-sea bridges, immersed tube tunnels and the like, the durability problem of the structures is concerned, and when chloride ions in the marine environment permeate into concrete, a passivation film on the surface of a steel bar is damaged, so that the steel bar is corroded, and the service life and the safety of the structures are seriously reduced. When a concrete raw material is selected, in order to improve the chloride ion permeation resistance of the concrete, the strength grade of the concrete is generally improved, the internal compactness of the concrete is increased along with the improvement of the strength grade of the concrete, and the chloride ion permeation resistance is improved along with the improvement of the strength grade of the concrete, so that the durability design can be considered, but the concrete compressive strength is improved to meet the preparation value requirement of the chloride ion diffusion resistance coefficient of the concrete, so that the construction cost is increased, and the resource is greatly consumed;
the quantitative design of the concrete chloride ion diffusion coefficient also has corresponding standard reference, wherein a design model is provided in the quantitative design specification of the seaport engineering concrete material and the structural durability (DB 45/T1828-2018) from the aspects of raw materials, water-cement ratio, mineral admixture doping amount and the like, the specification ensures a rate coefficient by endowing a design value of the concrete chloride ion diffusion coefficient, a concrete chloride ion diffusion coefficient preparation value is obtained, the concrete chloride ion diffusion coefficient preparation value is smaller than the concrete chloride ion diffusion coefficient design value, so that the disturbance of various factor changes to the concrete permeability resistance in the production process is reduced to a certain extent, the concrete member meets the design requirement of the durability of the concrete member, although the concrete strength and the durability are simultaneously considered, the difference between the concrete preparation value and the concrete value needs to be compensated by improving the concrete compressive strength, the method ensures that the use amount of the rubber material of the mix proportion of the concrete preparation value is higher than that of the rubber material of the design mix proportion of the concrete, so that the strength of the concrete is increased, the production cost of the concrete is increased undoubtedly, and the engineering investment is increased;
after the concrete mixing proportion is determined, the stirring mode in the concrete production process inevitably has great influence on the macroscopic performance and the microstructure of the concrete, the closer the concrete mixing shaft is, the lower the stirring speed is, the lower the low-efficiency stirring area is, the concrete micro-agglomeration phenomenon is easily caused due to the defect problem of the design of the concrete traditional stirrer, and the micro-unevenness phenomenon has adverse influence on the working performance, the strength, the durability and the like of the concrete.
Disclosure of Invention
In order to overcome the defects of the prior art, a first objective of the present invention is to provide a concrete chloride ion diffusion coefficient model, which reveals the relationship between the vibration stirring time and the concrete chloride ion diffusion coefficient in the concrete preparation process, and the model is used to obtain quantitative data for the vibration stirring adjustment in the concrete preparation process, and any preparation process and any concrete raw material mixing ratio can be applied on the basis, and the concrete with good chloride ion penetration resistance can be stably obtained.
The second purpose of the invention is to provide the application of a concrete chloride ion diffusion coefficient model, the stirring time t value is obtained through the model, and the adjustment of the vibration stirring step is carried out, so that the concrete with the optimal chloride ion permeability resistance under the concrete preparation process can be obtained in any preparation process.
The first purpose of the invention can be achieved by adopting the following technical scheme: a concrete chloride ion diffusion coefficient model comprises a formula I:
formula II: d 0,p ≤D 0 -1.645σ D And formula iii: d 0 ’≤D 0,p ；
Wherein D is 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 Is a firstThe initial upper limit value of the diffusion coefficient of the concrete chloride ions; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the diffusion coefficient of chloride ions.
The second purpose of the invention can be achieved by adopting the following technical scheme: the application of a concrete chloride ion diffusion coefficient model is to obtain a t value by the concrete chloride ion diffusion coefficient model;
the concrete chloride ion diffusion coefficient model comprises a formula I:
formula II: d 0,p ≤D 0 -1.645σ D And formula iii: d 0 ’≤D 0,p ；
Wherein D is 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the diffusion coefficient of the concrete chloride ions; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the diffusion coefficient of chloride ions;
in the preparation process of the concrete, the concrete mixture is vibrated and stirred under the condition of t as time to obtain the concrete with the optimal chloride ion permeability resistance.
Further, comprising the steps of:
s1: obtaining the diffusion coefficients of the concrete chloride ions prepared under the conditions of at least three groups of different vibration stirring time, and obtaining a formula I according to a second-order polynomial regression mathematical model:
D 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the concrete chloride ion diffusion coefficient; t is the vibration stirring time; a. b and c are constants;
s2: according to formula ii: d 0,p ≤D 0 -1.645σ D Calculating the prepared value D of the diffusion coefficient of the chloride ions 0,p ，σ D Is the standard deviation of the diffusion coefficient of chloride ions;
s3: according to formula iii: d 0 ’≤D 0,p Calculating a t value;
s4: in the preparation process of the concrete, the concrete mixture is vibrated and stirred under the condition of t as time to obtain the concrete with the optimal chloride ion permeability resistance.
Further, D 0 ' represents an upper limit value of a chloride ion diffusion coefficient of concrete curing after vibration stirring in an age of 28 d.
Further, in S1, at least three different sets of vibration stirring time conditions are 55-185S.
Further, in S1, concrete pieces were prepared in sizes of Φ 100mm × 200 mm.
Further, in S1, an initial concrete chloride ion diffusion coefficient upper limit value D is obtained according to the initial concrete mixing ratio 0 。
Further, in S2, σ D ＝δ D D 0 ，δ D Is the coefficient of variation of the diffusion coefficient of chloride ions.
Further, in S3, if the t value can not be obtained by calculation, the compressive strength of the concrete is improved by 5-10MPa, the components of the concrete are adjusted according to the compressive strength, and the steps S1 and S3 are repeated until the t value is obtained.
Further, in S1 and S4, the conditions of the vibration stirring are: carrying out vibration stirring on the concrete mixture by using a double-shaft 14-blade stirrer with the capacity of 60L; the vibration input power of the stirrer is 3KW, and the stirring power is 4 KW.
Compared with the prior art, the invention has the beneficial effects that:
1. the concrete chloride ion diffusion coefficient model models the vibration stirring time and the concrete chloride ion diffusion coefficient in the concrete preparation process, and quantitative data are obtained by using the model for vibration stirring adjustment in the concrete preparation process, so that the concrete with good chloride ion permeability resistance can be stably obtained in any preparation process;
2. the concrete chloride ion diffusion coefficient model designs the upper limit value of the concrete chloride ion diffusion coefficient by combining durability, and the upper limit value of the concrete chloride ion diffusion coefficient can be quantitatively adjusted through the change of the vibration stirring time t, so that the design requirement of the durability is met; the complex vibration stirring process of the concrete preparation process is modeled, so that the complex process of interaction of homogeneity and segregation of the concrete mixture in the preparation process is greatly simplified;
3. the application of the concrete chloride ion diffusion coefficient model can be based on any concrete preparation process, the stirring time t value is obtained through the model, and the adjustment of the vibration stirring step is carried out, so that the concrete with the optimal chloride ion permeability resistance under the concrete preparation process can be obtained in any preparation process;
4. the application of the concrete chloride ion diffusion coefficient model can obtain concrete meeting the chloride ion permeability resistance by quantitatively designing preparation parameters through the concrete chloride ion diffusion coefficient model on the basis of any concrete raw material mixture ratio, changes the traditional method that the concrete meets the design value requirement of the chloride ion permeability resistance of the concrete only by improving the compression strength grade of the concrete, and improves the preparation process efficiency;
5. the application of the concrete chloride ion diffusion coefficient model can meet the design requirements of concrete bearing capacity and durability, reduce the abundance coefficient of concrete strength, reduce the engineering capital investment and save resources.
Drawings
FIG. 1 is a flow chart of an embodiment.
Detailed Description
The invention will be further described with reference to the accompanying drawings and the detailed description below:
a concrete chloride ion diffusion coefficient model comprises a formula I:
formula II: d 0,p ≤D 0 -1.645σ D And formula iii: d 0 ’≤D 0,p ；
Wherein D is 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the concrete chloride ion diffusion coefficient; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the diffusion coefficient of chloride ions.
The application of the concrete chloride ion diffusion coefficient model is shown in a flow chart shown in figure 1, and comprises the following steps:
s0: setting the initial concrete mixing proportion to obtain the initial concrete chloride ion diffusion coefficient upper limit value D according to design requirements 0 ；
S1: and within the setting time of 55-185s, obtaining at least three groups of concrete chloride ion diffusion coefficients prepared under different vibration stirring time conditions, and fitting a vibration stirring time-concrete chloride ion diffusion coefficient model according to a second-order polynomial regression mathematical model to obtain a formula I:
molding a test piece with the size of phi 100mm multiplied by 200mm for 1D, removing the mold, moving the test piece to a standard curing box (the temperature is 20 +/-2 ℃, the humidity is more than or equal to 95 percent), curing the test piece to the age of 28D, and detecting D by adopting a rapid chloride ion migration coefficient method (RCM method for short) in a test method for long-term performance and durability of ordinary concrete (GB/T50082- 0 ’；
D 0 Obtaining an initial concrete chloride ion diffusion coefficient upper limit value according to an initial concrete mixing proportion;
t is the vibration stirring time;
a. b and c are constants;
s2: according to formula ii: d 0,p ≤D 0 -1.645σ D Calculating the preparation value D of the diffusion coefficient of the chloride ions by combining the quantitative design specification of the concrete material and the structural durability of the harbor engineering (DB 45/T1828- 0,p ，σ D Is the standard deviation, σ, of the diffusion coefficient of chloride ions D ＝δ D D 0 ，δ D The coefficient of variation is the diffusion coefficient of chloride ions;
s3: according to formula iii: d 0 ’≤D 0,p Calculating a t value; if the t value cannot be obtained through calculation, the compressive strength of the concrete is improved by 5-10MPa, the components of the concrete are adjusted according to the compressive strength, and the steps S1 and S3 are repeated until the t value is obtained;
s4: in the preparation process of the concrete, considering the economic foundation, selecting the minimum value in the range of the t value; vibrating and stirring the concrete mixture under the condition of t as time to obtain concrete with optimal chloride ion permeability resistance;
in S1 and S4, the conditions of the vibration stirring were: carrying out vibration stirring on the concrete mixture by using a double-shaft 14-blade stirrer with the capacity of 60L; the vibration input power of the stirrer is 3KW, and the stirring power is 4 KW; stirring and vibration are combined in the concrete preparation process, a shaft and blades of the stirrer are driven to vibrate by an additional vibration source, the shaft and the blades drive micro-particles to vibrate and displace, the circulation capacity of materials in the stirring process, the collision times among the particles and the like are improved, and the concrete is enabled to reach a macro-homogeneous state and a micro-homogeneous state; the vibration wave of the stirrer is similar to seismic wave, the closer to the vibration source, the stronger the vibration, and the vibration mode is complementary with the low stirring efficiency, so that the aim of eliminating the low stirring efficiency area is fulfilled.
The vibration stirring process in the concrete preparation process is a complex process of interaction of homogeneity and segregation, and the vibration stirring time has complex effects on the fluidity, compactness, strength, gas content, namely, frost resistance, compressive strength, chlorine ion permeability resistance and the like of the concrete.
Example 1:
the application of the concrete chloride ion diffusion coefficient model comprises the following steps:
s0: according to the design file requirement of a certain highway engineering pier, the concrete strength grade is C30, and the initial concrete chloride ion diffusion coefficient upper limit value D is obtained according to the initial concrete mixing proportion shown in the table 1 0 ＝9.75×10 -12 m 2 /s；
Table 1 initial concrete mix proportions(kg/m 3 )
| Strength grade | Water (W) | Cement | Fly ash | Mineral powder | Sand | Stone (stone) | Water reducing agent |
| C30 | 166 | 270 | 77 | 39 | 739 | 1064 | 3.86 |
Wherein the cement is P.O 42.5.5 ordinary portland cement; the fly ash is F class II fly ash; the mineral powder is S95 grade slag powder; the sand is the sand in the area II; the stone is 5-20mm continuous graded broken stone;
s1: within the set time, five groups of concrete chloride ion diffusion coefficients are obtained as shown in table 2, and a vibration stirring time-concrete chloride ion diffusion coefficient model is fitted according to a second-order polynomial regression mathematical model to obtain a formula I:
TABLE 2 stirring vibration time-concrete chloride ion diffusion coefficient data
Molding a test piece with the size of phi 100mm multiplied by 200mm for 1D, removing the mold, moving the test piece to a standard curing box (the temperature is 20 +/-2 ℃, the humidity is more than or equal to 95 percent), curing the test piece to the age of 28D, and detecting D by adopting a rapid chloride ion migration coefficient method (RCM method for short) in a test method for long-term performance and durability of ordinary concrete (GB/T50082- 0 ’；
t is the vibration stirring time;
s2: according to formula ii: d 0,p ≤D 0 -1.645σ D Calculating the preparation value D of the diffusion coefficient of the chloride ions by combining the quantitative design specification of the concrete material and the structural durability of the harbor engineering (DB 45/T1828- 0,p ，σ D Is the standard deviation, σ, of the diffusion coefficient of chloride ions D ＝δ D D 0 ，δ D The coefficient of variation of the diffusion coefficient of chloride ions is 0.15;
i.e. D 0,p ≤9.75×10 -12 -1.645×0.15×9.75×10 -12 ，D 0,p ≈7.34×10 -12 m 2 /s；
S3: according to formula iii: d 0 ’≤D 0,p Calculating a t value; the vibration stirring time is 110-170s, which is in accordance with D 0 ’≤D 0,p ；
S4: in the preparation process of the concrete, considering economic foundation, and vibrating and stirring the concrete mixture by t ═ 110s to obtain the concrete with optimal chloride ion permeability resistance; when t is 110s, D 0 ’＝7.26×10 -12 m 2 /s；
In S1 and S4, the conditions of the vibration stirring were: carrying out vibration stirring on the concrete mixture by using a double-shaft 14-blade stirrer with the capacity of 60L; the vibration input power of the stirrer is 3KW, and the stirring power is 4 KW.
Example 2:
the application of the concrete chloride ion diffusion coefficient model comprises the following steps:
s0: according to the requirements of a certain highway engineering guardrail design file, the concrete strength grade is C34, and the initial concrete chloride ion diffusion coefficient upper limit value D is obtained according to the initial concrete mixing proportion shown in the table 3 0 ＝7.17×10 -12 m 2 /s；
TABLE 3 initial concrete mix ratio (kg/m) 3 )
| Strength grade | Water (W) | Cement | Fly ash | Mineral powder | Sand | Stone (stone) | Water reducing agent |
| C40 | 161 | 336 | 66 | 35 | 733 | 1055 | 4.81 |
Wherein the cement is P.O 42.5.5 ordinary portland cement; the fly ash is F class II fly ash; the mineral powder is S95 grade slag powder; the sand is the sand in the area II; the stone is 5-20mm continuous graded broken stone;
s1: within the set time, five groups of concrete chloride ion diffusion coefficients are obtained as shown in table 4, and a vibration stirring time-concrete chloride ion diffusion coefficient model is fitted according to a second-order polynomial regression mathematical model to obtain a formula I:
TABLE 4 stirring vibration time-concrete chloride ion diffusion coefficient data
Forming a test piece 1D with the size of phi 100mm multiplied by 200mm, removing a mold, moving the test piece to a standard curing box (the temperature is 20 +/-2 ℃, the humidity is more than or equal to 95 percent), curing the test piece to the age of 28D, and detecting D by adopting a rapid chloride ion migration coefficient method (RCM method for short) in a test method for the long-term performance and the durability of common concrete (GB/T50082- 0 ’；
t is the vibration stirring time;
s2: according to formula ii: d 0,p ≤D 0 -1.645σ D Calculating the preparation value D of the diffusion coefficient of the chloride ions by combining the quantitative design specification of the concrete material and the structural durability of the harbor engineering (DB 45/T1828- 0,p ，σ D Is the standard deviation, σ, of the diffusion coefficient of chloride ions D ＝δ D D 0 ，δ D The coefficient of variation of the diffusion coefficient of chloride ions is 0.15;
i.e. D 0,p ≤7.17×10 -12 -1.645×0.15×7.17×10 -12 ，D 0,p ≈5.4×10 -12 m 2 /s；
S3: according to formula iii: d 0 ’≤D 0,p Calculating a t value; the vibration stirring time is between 60 and 180s, D 0 ’＞D 0,p If the concrete does not meet the requirements, the compressive strength of the concrete is improved by 5MPa, and the components of the concrete are adjusted according to the compressive strength, as shown in table 5:
TABLE 5 adjusted concrete mix ratio (kg/m) 3 )
| Strength grade | Water (W) | Cement | Fly ash | Mineral powder | Sand | Stone (stone) | Water reducing agent |
| C40 | 160 | 299 | 95 | 63 | 621 | 1152 | 5.03 |
Repeating steps S1 and S3:
five groups of concrete chloride ion diffusion coefficients were obtained as shown in table 6:
TABLE 6 stirring vibration time-concrete chloride ion diffusion coefficient data
Formula i is obtained:
according to formula iii: d 0 ’≤D 0,p Calculating a t value; the vibration stirring time is 130-180s, which is in accordance with D 0 ’≤D 0,p ；
S4: in the preparation process of the concrete, considering economic foundation, and vibrating and stirring the concrete mixture by t being 130s to obtain the concrete with optimal chloride ion permeability resistance; when t is 130s, D 0 ’＝5.36×10 -12 m 2 /s；
In S1 and S4, the conditions of the vibration stirring were: carrying out vibration stirring on the concrete mixture by using a double-shaft 14-blade stirrer with the capacity of 60L; the vibration input power of the stirrer is 3KW, and the stirring power is 4 KW.
Various other changes and modifications to the above-described embodiments and concepts will become apparent to those skilled in the art from the above description, and all such changes and modifications are intended to be included within the scope of the present invention as defined in the appended claims.
Claims (10)
1. A concrete chloride ion diffusion coefficient model is characterized in that the concrete chloride ion diffusion coefficient model isThe model includes formula i:
formula II: d 0,p ≤D 0 -1.645σ D And formula iii: d 0 ’≤D 0,p ；
Wherein D is 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the concrete chloride ion diffusion coefficient; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the diffusion coefficient of chloride ions.
2. The application of the concrete chloride ion diffusion coefficient model is characterized in that the t value is obtained by the concrete chloride ion diffusion coefficient model;
the concrete chloride ion diffusion coefficient model comprises a formula I:
formula II: d 0,p ≤D 0 -1.645σ D And formula iii: d 0 ’≤D 0,p ；
Wherein D is 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the diffusion coefficient of the concrete chloride ions; t is the vibration stirring time; a. b and c are constants; d 0,p Preparing a value for the diffusion coefficient of the chloride ions; sigma D Is the standard deviation of the chloride ion diffusion coefficient;
in the preparation process of the concrete, the concrete mixture is vibrated and stirred under the condition of t as time to obtain the concrete with the optimal chloride ion permeability resistance.
3. Use of the concrete chloride ion diffusion coefficient model according to claim 2, comprising the steps of:
s1: obtaining the diffusion coefficients of the chloride ions of the concrete prepared under the conditions of at least three groups of different vibration stirring time according toA second order polynomial regression mathematical model, to obtain formula i:
D 0 ' is the upper limit value of the diffusion coefficient of the concrete chloride ions after the vibration stirring; d 0 The initial upper limit value of the concrete chloride ion diffusion coefficient; t is the vibration stirring time; a. b and c are constants;
s2: according to formula ii: d 0,p ≤D 0 -1.645σ D Calculating the prepared value D of the diffusion coefficient of the chloride ions 0,p ，σ D Is the standard deviation of the diffusion coefficient of chloride ions;
s3: according to formula iii: d 0 ’≤D 0,p Calculating a t value;
s4: in the preparation process of the concrete, the concrete mixture is vibrated and stirred under the condition of t as time to obtain the concrete with the optimal chloride ion permeability resistance.
4. Use of the concrete chloride diffusion coefficient model of claim 3, wherein D is 0 ' represents the upper limit value of the chloride ion diffusion coefficient of concrete curing after vibration stirring in the age of 28 d.
5. Use of the concrete chloride ion diffusion coefficient model according to claim 3, wherein at least three different sets of vibratory mixing time conditions in S1 are 55-185S.
6. Use of the concrete chlorine ion diffusion coefficient model according to claim 3, wherein in S1, concrete samples having a size of Φ 100mm x 200mm are prepared.
7. Use of the concrete chlorine diffusion coefficient model according to claim 3, wherein in S1, the initial concrete chlorine diffusion coefficient upper limit value D is obtained according to the initial concrete mixing ratio 0 。
8. As in claimUse of the concrete chloride ion diffusion coefficient model according to claim 3, wherein σ in S2 D ＝δ D D 0 ，δ D Is the coefficient of variation of the diffusion coefficient of chloride ions.
9. The use of the concrete chloride ion diffusion coefficient model according to claim 3, wherein in S3, if the t value is not obtained by calculation, the compressive strength of the concrete is increased by 5-10MPa and the components of the concrete are adjusted according to the compressive strength, and the steps S1 and S3 are repeated until the t value is obtained.
10. Use of the concrete chloride ion diffusion coefficient model according to claim 3, wherein the conditions of the vibratory mixing in S1 and S4 are: carrying out vibration stirring on the concrete mixture by using a double-shaft 14-blade stirrer with the capacity of 60L; the vibration input power of the stirrer is 3KW, and the stirring power is 4 KW.
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