CN109211750B - Concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters - Google Patents

Concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters Download PDF

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CN109211750B
CN109211750B CN201810906067.XA CN201810906067A CN109211750B CN 109211750 B CN109211750 B CN 109211750B CN 201810906067 A CN201810906067 A CN 201810906067A CN 109211750 B CN109211750 B CN 109211750B
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顾春平
王倩楠
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Zhejiang University of Technology ZJUT
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Abstract

The invention discloses a method for predicting a concrete chloride ion diffusion coefficient based on micro and microscopic structure parameters, which comprises the following steps: step 1: constructing a three-dimensional microstructure of a cement slurry in concrete and determining the porosity of said cement slurry
Figure DDA0001760643630000011
Step 2: according to the porosity of the cement paste
Figure DDA0001760643630000012
Calculating the diffusion coefficient D of chloride ions in the cement pastep(ii) a And step 3: and calculating the diffusion coefficient D of the concrete chloride ions according to the generalized self-consistent model based on the mesoscopic structure of the concrete. When the method is used for predicting the chloride ion diffusion coefficient of the concrete, the used basic information is the formula of the concrete and the performance of related raw materials, compared with an empirical method, a large amount of time cost and economic cost are saved, the influence of a micro and microscopic structure of the concrete on the chloride ion diffusion coefficient is considered, and the method is more accurate and more scientific than the empirical method. Compared with the existing numerical method, the method has higher calculation efficiency and is easier to popularize and apply.

Description

Concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters
Technical Field
The invention belongs to the field of cement-based composite materials, and particularly relates to a method for predicting a concrete chloride ion diffusion coefficient based on micro and microscopic structural parameters.
Background
The corrosion of steel bars caused by chloride ions is the main reason for the failure and destruction of concrete structures in the ocean or in the deicing salt environment. The chloride ion diffusion coefficient in concrete is one of the key parameters for the durability of building structures. Therefore, the prediction of the concrete chloride ion diffusion coefficient can directly serve for the durability design of the concrete structure.
Most of the existing common concrete chloride ion diffusion coefficient prediction methods are empirical methods, i.e., the relationship between the chloride ion diffusion coefficient and some experimental parameters, such as the composition of concrete raw materials, the chloride ion diffusion coefficient at a certain age, environmental conditions, etc., is fitted through a large amount of experimental data. The empirical method is simple and feasible, but has limited applicability, and can only be applied to the conditions similar to experimental conditions, and the accuracy of the prediction result of the concrete with a special formula or complex service conditions cannot be ensured. Moreover, certain parameters of the empirical method still need to be determined experimentally, which is time consuming and laborious.
With the development of computer technology, it is becoming a popular research direction to establish a numerical method for predicting the diffusion coefficient of concrete chloride ions based on the microscopic and microscopic structures of concrete materials. The microscopic and microscopic structure is the fundamental factor for determining the chloride ion diffusion performance of concrete. The numerical method can systematically consider the influence of the micro and microscopic structures of the concrete on the chloride ion diffusion performance of the concrete, and the input conditions of the numerical method are mostly the material composition of the concrete, so that a large amount of experiments are not needed. However, the numerical method usually has a large calculation amount, requires a long time for calculation, has a high requirement on the configuration of a computer, and cannot be popularized and applied.
Disclosure of Invention
In order to overcome the defects of large experimental amount and long calculation time of the existing concrete chloride ion diffusion coefficient prediction method based on experimental test and microscopic structure, the invention provides a simple and easy-to-use concrete chloride ion diffusion coefficient prediction method based on microscopic and microscopic structure parameters.
The technical scheme adopted by the invention is as follows:
the embodiment of the application provides a concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters, which comprises the following steps:
step 1: constructing a three-dimensional microstructure of a cement slurry in concrete and determining the porosity of said cement slurry
Figure BDA0001760643610000021
The concrete comprises cement paste and aggregate, and an interface transition area exists between the cement paste and the aggregate;
simulating the three-dimensional microstructure of the cement paste based on the mixing ratio of the cement paste, and acquiring the pore structure information of the three-dimensional microstructure, thereby acquiring the porosity of the cement paste
Figure BDA0001760643610000022
Step 2: according to the porosity of the cement paste
Figure BDA0001760643610000023
Calculating the diffusion coefficient D of chloride ions in the cement pastep：
The chloride ion diffusion coefficient D of the cement paste is obtained according to the formula (1)p，
Dp/DCl＝0.001+0.07φp 2+H(φp-0.18)×1.8×(φp-0.18)2 (1)
Wherein D isCl: diffusion coefficient of chloride ions in water, unit is m2S and at 25 ℃ DClIs 2.03X 10-9m2/s；
Figure BDA0001760643610000031
The porosity of the cement paste; h: (x) h ═ 1, when x > 0; when x is not more than 0, H (x) is 0;
and step 3: based on the concrete mesoscopic structure, calculating the concrete chloride ion diffusion coefficient D according to a generalized self-consistent model:
Figure BDA0001760643610000032
in the formula, Va: the volume fraction of the aggregate; di: diffusion coefficient of chloride ion (m) in interface transition zone2/s)；
Figure BDA0001760643610000033
Thickness t of interface transition zoneiWith average radius of aggregate particles
Figure BDA0001760643610000034
Ratio of (i) to (ii)
Figure BDA0001760643610000035
Further, the concrete microstructure comprises a cement paste phase, an interface transition zone phase and an aggregate phase;
the parameters of the microscopic structure of the concrete comprise the volume fraction V of the aggregateaInterfacial transition zone porosity DiInterface (II) ofDiffusion coefficient of chloride ion in transition zone DiThickness t of the interface transition zoneiAverage radius of aggregate particles
Figure BDA0001760643610000041
The parameters of the concrete microstructure include the porosity of the cement paste
Figure BDA0001760643610000042
Further, in the step 1, the three-dimensional microstructure of the cement paste can be obtained through HYMOSTRUC3D software or CEMHYD3D software, and the porosity of the cement paste is calculated through the three-dimensional microstructure
Figure BDA0001760643610000043
Further, the diffusion coefficient D of chloride ions in the interface transition region in the step 3iCalculated by the following method:
porosity of cement slurry
Figure BDA0001760643610000044
Substituting the formula (3) to obtain the porosity of the interface transition zone
Figure BDA0001760643610000045
Then the calculated interface transition region porosity is calculated
Figure BDA0001760643610000046
Substituting the formula (4) to obtain the diffusion coefficient D of the chloride ions in the interface transition regioni：
φi/φp＝1.49+(2.17×10-5)w/c×22.99 (3)
Wherein w/c is the water cement ratio of the concrete;
Di/DCl＝0.001+0.07φi 2+H(φi-0.18)×1.8×(φi-0.18)2 (4)。
further, in the step 3, whenWhen the water-cement ratio w/c is between 0.23 and 0.53, the thickness t of the interface transition regioni＝20μm。
Further, in the step 3, the average radius of the aggregate particles
Figure BDA0001760643610000047
Calculated by the following method:
the gradation of the aggregates is expressed by three parameters, respectively: total number of screens M (in units of one), diameter d of the i-th stage screeniAnd the mass fraction C of aggregate between the i-th and (i +1) -th sievesiThe number of particles of aggregate in a unit volume of concrete can be calculated by the formula (5):
Figure BDA0001760643610000051
in the formula (5), Nj: the number of particles of the aggregate, in units of particles; wj: the mass of aggregate in unit volume of concrete is kg; rhoj: the density of the aggregate is in kg/m3(ii) a And when the aggregate is a fine aggregate, j is 1; when the aggregate is coarse aggregate, j is 2, from which the total number of particles of the aggregate can be derived, and the average radius of the aggregate is calculated according to equation (6)
Figure BDA0001760643610000052
Figure BDA0001760643610000053
In the formula (6), W1: the mass of the fine aggregate in unit volume of concrete is kg; w1: the mass of the coarse aggregate in unit volume of concrete is kg; rho1: the density of the fine aggregate is in kg/m3；ρ2(ii) a The density of the fine aggregate is in kg/m3；N1: the number of particles of the fine aggregate, in units of particles; n is a radical of2: the number of particles of the coarse aggregate is in units of particles.
The invention has the beneficial effects that:
(1) when the method is used for predicting the chloride ion diffusion coefficient of the concrete, the used basic information is the formula of the concrete and the performance of related raw materials, compared with an empirical method, a large amount of time cost and economic cost are saved, the influence of a micro and microscopic structure of the concrete on the chloride ion diffusion coefficient is considered, and the method is more accurate and more scientific than the empirical method.
(2) The concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters has low requirements on computer performance, has higher calculation efficiency compared with the existing numerical method, and is easier to popularize and apply.
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FIG. 1 is a flow chart of the present invention in one embodiment.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood that the described embodiments are only some embodiments, but not all embodiments, of the present invention. 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.
In the description of the present invention, it should be noted that the orientations or positional relationships indicated as the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., appear based on the orientations or positional relationships shown in the drawings only for the convenience of describing the present invention and simplifying the description, but not for indicating or implying that the referred devices or elements must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" as appearing herein are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present invention, it should be noted that, unless otherwise explicitly stated or limited, the terms "mounted," "connected," and "connected" should be interpreted broadly, e.g., as being fixed or detachable or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Referring to the attached drawings, the invention provides a concrete chloride ion diffusion coefficient prediction method based on micro and microscopic structure parameters, which comprises the following steps:
step 1, constructing a three-dimensional microstructure of cement paste in concrete, and determining the porosity of the cement paste
Figure BDA0001760643610000071
The concrete comprises cement paste and aggregate, and an interface transition area exists between the cement paste and the aggregate;
the cement paste comprises cement and water, the three-dimensional microstructure of the cement paste is simulated based on the mixing proportion of the cement paste, and the pore structure information of the three-dimensional microstructure is obtained, so that the porosity of the cement paste is obtained
Figure BDA0001760643610000072
Specifically, the cement paste is prepared by mixing water and cement, and the mixing ratio of the cement paste is based on the mixing ratio of the water and the cement.
Step 2, according to the porosity of the cement paste
Figure BDA0001760643610000073
Calculating the diffusion coefficient D of chloride ions in the cement pastep：
The chloride ion diffusion coefficient D of the cement paste is obtained according to the formula (1)p，
Dp/DCl＝0.001+0.07φp 2+H(φp-0.18)×1.8×(φp-0.18)2 (1)
Wherein D isCl: diffusion coefficient of chloride ions in water, unit is m2S and at 25 ℃ DClIs 2.03X 10-9m2/s；
Figure BDA0001760643610000081
The porosity of the cement paste; h: (x) h ═ 1, when x > 0; when x is not more than 0, H (x) is 0;
in particular, the diffusion coefficient D of chloride ions in waterClCan be calculated according to formula (I).
Figure BDA0001760643610000082
Wherein, T: the absolute temperature of the water is in K.
And step 3: based on the concrete mesoscopic structure, calculating the concrete chloride ion diffusion coefficient D according to a generalized self-consistent model:
Figure BDA0001760643610000083
in the formula (2), Va: the volume fraction of the aggregate; di: diffusion coefficient of chloride ion (m) in interface transition zone2/s)；
Figure BDA0001760643610000084
Thickness t of interface transition zoneiWith average radius of aggregate particles
Figure BDA0001760643610000085
Ratio of (i) to (ii)
Figure BDA0001760643610000086
In particular, the volume fraction of the aggregate refers to the volume fraction of the aggregate in the concrete.
Specifically, the generalized self-consistent model is: the concrete structure is assumed to be that the aggregate and the interface transition zone around the aggregate are embedded in uniform cement paste, and the relationship between the concrete volume element and the whole concrete chloride ion diffusion coefficient is established on the basis.
Further, the concrete microstructure comprises a cement paste phase, an interface transition zone phase and an aggregate phase;
the parameters of the microscopic structure of the concrete comprise the volume fraction V of the aggregateaInterfacial transition zone porosity DiInterfacial transition zone chloride diffusion coefficient DiThickness t of the interface transition zoneiAverage radius of aggregate particles
Figure BDA0001760643610000091
The parameters of the concrete microstructure include the porosity of the cement paste
Figure BDA0001760643610000092
Further, in the step 1, the three-dimensional microstructure of the cement paste can be obtained through HYMOSTRUC3D software or CEMHYD3D software, and the porosity of the cement paste is calculated through the three-dimensional microstructure
Figure BDA0001760643610000093
Specifically, based on the mixing proportion of the cement paste, a three-dimensional microstructure model of the cement paste can be generated by using HYMOSTRUC3D software or CEMHYD3D software, and the porosity of the cement paste can be obtained based on the three-dimensional microstructure model
Figure BDA0001760643610000094
Further, the diffusion coefficient D of chloride ions in the interface transition region in the step 3iCalculated by the following method:
porosity of cement slurry
Figure BDA0001760643610000095
Substituting into formula (3) to obtain the porosity of the interface transition region
Figure BDA0001760643610000096
Then the calculated interface transition region porosity is calculated
Figure BDA0001760643610000097
Substituting the formula (4) to obtain the diffusion coefficient D of the chloride ions in the interface transition regioni：
φi/φp＝1.49+(2.17×10-5)w/c×22.99 (3)
In the formula (3), w/c is the water cement ratio of the concrete;
Di/DCl＝0.001+0.07φi 2+H(φi-0.18)×1.8×(φi-0.18)2 (4)。
further, in the step 3, the interface transition region thickness ti＝20μm。
Further, in said step 3, the average radius of the aggregate particles
Figure BDA0001760643610000101
Calculated by the following method:
the gradation of the aggregate can be expressed by three parameters, respectively: total number of screens M (in units of one), diameter d of the i-th stage screeniAnd the mass fraction C of aggregate between the i-th and (i +1) -th sievesiThe number of particles of aggregate in a unit volume of concrete can be calculated by the formula (5):
Figure BDA0001760643610000102
in the formula (5), Nj: the number of particles of the aggregate, in units of particles; wj: the mass of aggregate in unit volume of concrete is kg; rhoj: the density of the aggregate is in kg/m3(ii) a And when the aggregate is a fine aggregate, j is 1; when the aggregate is coarse aggregate, j is 2, from which the total number of particles of the aggregate can be derived, and the average radius of the aggregate is calculated according to equation (6)
Figure BDA0001760643610000103
Figure BDA0001760643610000111
In the formula (6), W1: the mass of the fine aggregate in unit volume of concrete is kg; w1: the mass of the coarse aggregate in unit volume of concrete is kg; rho1: the density of the fine aggregate is in kg/m3；ρ2(ii) a The density of the fine aggregate is in kg/m3；N1: the number of particles of the fine aggregate, in units of particles; n is a radical of2: the number of particles of the coarse aggregate is in units of particles.
Specifically, in cement concrete, aggregates having a particle size of more than 4.75mm are generally considered as coarse aggregates, and aggregates having a particle size of 4.75mm or less are considered as fine aggregates.
The embodiments described in this specification are merely exemplary of implementation forms of the inventive concept, and the scope of the present invention should not be considered limited to the specific forms set forth in the embodiments, but rather, should be construed as encompassing equivalent technical means which may be conceived by those skilled in the art based on the inventive concept.

Claims (1)

1. The method for predicting the diffusion coefficient of the concrete chloride ions based on the micro and microscopic structure parameters is characterized by comprising the following steps of:
step 1: constructing a three-dimensional microstructure of a cement slurry in concrete and determining the porosity phi of the cement slurryp；
The concrete comprises cement paste and aggregate, and an interface transition area exists between the cement paste and the aggregate;
simulating the three-dimensional microstructure of the cement paste based on the mixing proportion of the cement paste, and acquiring the pore structure information of the three-dimensional microstructure, thereby acquiring the porosity phi of the cement pastep；
Step 2: calculating the chloride ion diffusion coefficient Dp of the cement paste according to the porosity of the cement paste:
the chloride ion diffusion coefficient Dp of the cement paste is obtained according to the formula (1),
Dp/DCl＝0.001+0.07φp 2+H(φp-0.18)×1.8×(φp-0.18)2 (1)
wherein D iscl: diffusion coefficient of chloride ions in water, unit is m2S and at 25 ℃ DclIs 2.03X 10-9m2/s；φpPorosity of the cement paste; h: (x) h ═ 1, when x > 0; when x is not more than 0, H (x) is 0;
and step 3: calculating the diffusion coefficient D of the concrete chloride ions based on the mesoscopic structure of the concrete according to a generalized self-consistent modelm：
Figure FDA0003114229690000011
In the formula, Va: the volume fraction of aggregate; di: diffusion coefficient of chloride ions in unit of m in interface transition zone2/s；
Figure FDA0003114229690000012
Thickness t of interface transition zoneiWith average radius of aggregate particles
Figure FDA0003114229690000013
Ratio of (i) to (ii)
Figure FDA0003114229690000014
The microscopic structure of the concrete comprises a cement paste phase, an interface transition area phase and an aggregate phase;
the parameters of the microscopic structure of the concrete comprise the volume fraction V of the aggregateaInterfacial transition zone porosity phiiInterfacial transition zone chloride diffusion coefficient DiThickness t of the interface transition zoneiAverage radius of aggregate particles
Figure FDA0003114229690000015
The parameters of the concrete microstructure include the porosity of the cement paste phip；
In the step 1, the three-dimensional microstructure of the cement paste can be obtained through HYMOSTRUC3D software or CEMHYD3D software, and the porosity phi of the cement paste is calculated through the three-dimensional microstructurep；
The diffusion coefficient D of chloride ions in the interface transition region in the step 3iCalculated by the following method:
substituting the porosity of the cement paste into the formula (3) to obtain the porosity phi of the interface transition zoneiThen the calculated porosity phi of the interface transition region is calculatediSubstituting the formula (4) to obtain the diffusion coefficient D of the chloride ions in the interface transition regioni：
φi/φp＝1.49+(2.17×10-5)w/c×22.99 (3)
Wherein w/c is the water cement ratio of the concrete;
Di/Dcl＝0.001+0.07φi 2+H(φi-0.18)×1.8×(φi-0.18)2 (4)
in the step 3, when the water-cement ratio w/c is between 0.23 and 0.53, the thickness t of the interface transition regioni＝20μm。
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