CN114113555B - Prediction method for autogenous volume deformation of concrete doped with nano calcium carbonate and SAP (super absorbent Polymer) - Google Patents
Prediction method for autogenous volume deformation of concrete doped with nano calcium carbonate and SAP (super absorbent Polymer) Download PDFInfo
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- VTYYLEPIZMXCLO-UHFFFAOYSA-L Calcium carbonate Chemical compound [Ca+2].[O-]C([O-])=O VTYYLEPIZMXCLO-UHFFFAOYSA-L 0.000 title claims abstract description 166
- 239000004567 concrete Substances 0.000 title claims abstract description 99
- 229910000019 calcium carbonate Inorganic materials 0.000 title claims abstract description 77
- 238000000034 method Methods 0.000 title claims abstract description 20
- 229920000247 superabsorbent polymer Polymers 0.000 title abstract description 56
- 239000004568 cement Substances 0.000 claims description 13
- 239000002131 composite material Substances 0.000 claims description 5
- 238000010276 construction Methods 0.000 claims description 5
- 238000000611 regression analysis Methods 0.000 claims description 5
- 230000014509 gene expression Effects 0.000 claims description 4
- 229910000831 Steel Inorganic materials 0.000 claims description 3
- 238000004364 calculation method Methods 0.000 claims description 3
- 238000001514 detection method Methods 0.000 claims description 3
- 238000006073 displacement reaction Methods 0.000 claims description 3
- 239000010959 steel Substances 0.000 claims description 3
- BVKZGUZCCUSVTD-UHFFFAOYSA-L Carbonate Chemical compound [O-]C([O-])=O BVKZGUZCCUSVTD-UHFFFAOYSA-L 0.000 claims 1
- 238000012360 testing method Methods 0.000 abstract description 15
- 238000011160 research Methods 0.000 abstract description 3
- 235000010216 calcium carbonate Nutrition 0.000 description 50
- 239000000463 material Substances 0.000 description 7
- 238000005336 cracking Methods 0.000 description 3
- 238000011161 development Methods 0.000 description 3
- OYPRJOBELJOOCE-UHFFFAOYSA-N Calcium Chemical compound [Ca] OYPRJOBELJOOCE-UHFFFAOYSA-N 0.000 description 2
- 229910052791 calcium Inorganic materials 0.000 description 2
- 239000011575 calcium Substances 0.000 description 2
- 230000036571 hydration Effects 0.000 description 2
- 238000006703 hydration reaction Methods 0.000 description 2
- 230000002745 absorbent Effects 0.000 description 1
- 239000002250 absorbent Substances 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000004566 building material Substances 0.000 description 1
- 150000001875 compounds Chemical class 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000001035 drying Methods 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 229910021392 nanocarbon Inorganic materials 0.000 description 1
- 239000011347 resin Substances 0.000 description 1
- 229920005989 resin Polymers 0.000 description 1
- 238000012795 verification Methods 0.000 description 1
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- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/32—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid
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Abstract
The invention discloses a method for predicting autogenous volume deformation of concrete doped with nano calcium carbonate and SAP (super absorbent polymer), which mixes different nano calcium carbonate and SAP (super absorbent polymer) doping amountsTesting the concrete to obtain the volume deformation according to agetAnd (3) obtaining the relation between the volume deformation of the concrete in the early age and the doping amount of the nano calcium carbonate and the SAP by adopting model fitting according to changed test data, wherein the model can reflect the influence of the doping amount of the nano calcium carbonate and the SAP on the volume deformation of the concrete in the early age. Through the model, the volume deformation of concrete with different nano calcium carbonate and SAP doping amounts at any time can be conveniently known, a testing device is not required to test in real time, and the model has guiding significance for the research of the early-age volume deformation of the concrete doped with nano calcium carbonate and SAP shrinkage compensation.
Description
Technical Field
The invention relates to the technical field of concrete construction, in particular to a prediction method of autogenous volume deformation of concrete doped with nano calcium carbonate and SAP.
Background
Concrete is used as a building material with wide application, and with the development of civil engineering, concrete with high strength and high durability is particularly required in some projects, particularly in large span structures and severe service environments.
The nano calcium carbonate is effectively added into the concrete to improve the strength and durability. However, after the nano calcium carbonate is doped, the hydration of the nano calcium carbonate consumes the moisture in the early concrete, so that the self-shrinkage of the early concrete is increased. In early age, the larger self-shrinkage can cause concrete cracking more easily, and the early cracking seriously affects the durability and safety performance of the structure. Therefore, to improve the performance of concrete materials, it is important to reduce the self-shrinkage of concrete.
And super absorbent resin (SAP for short) is doped in the nano calcium carbonate-doped concrete, so that redundant moisture can be introduced, the moisture can be continuously released under the self-drying action in the concrete, the moisture consumed by cement hydration is compensated, the relative humidity in the concrete is effectively improved, and the self-shrinkage of the nano calcium carbonate-doped concrete is reduced. Thus, the shrinkage-compensating concrete doped with nano calcium carbonate and SAP can improve the strength and durability of the concrete, reduce the risk of self-shrinkage and cracking in the early age, and is superior to the common concrete in self-shrinkage.
Therefore, the deformation development process of the compensation shrinkage concrete needs to be researched, and a relevant prediction model needs to be established. However, the deformation rule and the self-generated volume deformation prediction model of the concrete doped with nano calcium carbonate and SAP in the early age are less researched.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a prediction method of the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP aiming at the defects of the prior art, and the prediction method of the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP obtains a regularity curve of the volume deformation of a concrete material sample by detecting the free deformation of the concrete material sample so as to realize nondestructive continuous monitoring.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a prediction method for the autogenous volume deformation of concrete doped with nano calcium carbonate and SAP is characterized in that: comprises the following steps.
Step 1, constructing an initial prediction model: the construction is carried out by the mixing amount m of the nano calcium carbonateNCAnd SAP mixing amount mSAPDoped nanocarbon as independent variableThe initial prediction model of the self-generated volume deformation of the calcium carbonate and SAP concrete in the early age comprises the following specific expressions:
wherein:
εc_NC(28)＝g+h·x (2)
εc_SAP(28)＝u·y2+v·x·y (3)
x＝mNC/mcement (4)
y＝mSAP/mcement (5)
among the formulae (1) to (5) are:
εc_NCS(t): the composite doped nano calcium carbonate and SAP compensate the self-generated volume deformation of the shrinkage concrete in the early age, x 10-6。
εc_NC(28): the self-generated volume deformation of the concrete doped with the nano calcium carbonate is multiplied by 10 in 28 days-6。
t: age, day of concrete since initial setting time.
εc_SAP(28): the autogenous volume deformation value of the shrinkage-compensated concrete at 28 days is multiplied by 10 by being doped with nano calcium carbonate and SAP-6。
x: nano calcium carbonate content,%.
y: SAP content,%.
mNC: mixing amount of nano calcium carbonate, kg/m3。
mSAP: amount of SAP in kg/m3。
mcement: is the cement mixing amount, kg/m3。
a. b, c, g, h, u, v, l, m, n: are all unknown parameters to be sought.
Step 2, preparing a target concrete sample: pouring N target concrete samples, and curing; wherein N is more than or equal to 4; the doping amount of the nano calcium carbonate and the doping amount of the SAP in the N target concrete samples are different; wherein the value range of the nano calcium carbonate content x is 0-1.5%, and the value range of the SAP content y is 0-0.3%.
Step 3, detecting total free deformation: detecting and recording the total free deformation of the concrete which is doped with the nano calcium carbonate and the SAP at each time interval according to the set time interval for each target concrete sample cured in the step 1 until the detection is finished in 28 days; wherein the total free deformation comprises temperature deformation and self-generated volume deformation.
And 5, calculating unknown parameters a, b, c, g, h, u, v, l, m and n, and specifically comprising the following steps.
Step 51, calculating g, h, u, v: e of each target concrete sample obtained in the step 4c_SAP(28) Respectively substituted into the formulas
(2) In the step (3), four linear equations are obtained, the four linear equations are solved, and the values of g, h, u and v are calculated;
step 52, calculating a, b, c, l, m, n: deforming the self-generated volume epsilon of each early age obtained in the step 4c_NCS(t), the corresponding age t, the nano calcium carbonate content x and the SAP content y, and the g, h, u and v values calculated in the step 51 are all substituted into the formula (1), and a function equation of a, b, c, l, m and n with x and y respectively is obtained through data regression analysis;
step 6, constructing a prediction model: and (3) substituting the a, b, c, g, h, u, v, l, m and n obtained by calculation in the step (5) into the formula (1), thereby obtaining the prediction model of the self-generated volume deformation of the concrete doped with the nano calcium carbonate and the SAP in the early age.
In step 51, the calculated values g, h, u, and v are g-430, h-44, u-199.748, and v-147.713, respectively.
In step 52, the function equations of a, b, c, l, m, n and x and y are:
a＝0.287+(-0.045)·x+(-0.202)·e-x
b＝0.912+(-0.002)·x+(-0.279)·x0.5
c＝1.201+0.060·x2.5+0.075·x0.5
l＝-23.314·y2+6.779·x·y
m＝4.468·y2+0.050·x·y
n＝-76.622·y2+18.319·x·y。
in the step 2, N is 5, and in 5 target concrete samples, the values of the nano calcium carbonate content x and the SAP content y and the curing temperature are respectively as follows:
wherein, the doping modes of the nano calcium carbonate and the SAP are external doping.
In step 3, the time interval is set to 15 minutes.
And 3, detecting the total free deformation of the concrete doped with the nano calcium carbonate and the SAP in each age by adopting an eddy current displacement sensor.
In the step 2, each target concrete sample is poured into a cuboid steel mould with the internal dimension of 515mm long, 100mm wide and 100mm high.
In step 52, data regression analysis is performed using 1Stop software.
The invention has the following beneficial effects:
the invention discloses a construction method and application of an early-age autogenous volume deformation prediction model of concrete doped with nano calcium carbonate and SAP (super absorbent polymer), wherein the doping amount m of different nano calcium carbonates isNCDifferent SAP mixing amount mSAPTesting, namely obtaining test data of the concrete material with the change of self-generated volume deformation along with the age t, and obtaining the mixing amount m of the model and the nano calcium carbonate by model fittingNCSAP mixing amount mSAPThe relation between the nano calcium carbonate and the nano calcium carbonate can be reflected by the modelNCSAP mixing amount mSAPInfluence on the concrete autogenous volume deformation; moreover, different nano calcium carbonate doping amounts m can be conveniently obtained through the modelNCSAP mixing amount mSAPThe self-generating volume deformation at any moment without real-time test by a test device has the advantages of rapidness, continuity and no damage, and has guiding significance for the performance research of the internal curing concrete.
Drawings
FIG. 1 shows different amounts m of nano calcium carbonateNCThe data of the concrete 28-day-old autogenous volume deformation test are compared with the fitting result of the model of the invention, and the comparison is shown schematically.
FIG. 2 shows different amounts m of nano calcium carbonateNCDifferent SAP mixing amount mSAPSchematic diagram comparing the data of the concrete 28-day-old autogenous volume deformation test with the fitting result of the model of the invention.
Detailed Description
The present invention will be described in further detail with reference to the drawings and specific preferred embodiments.
In the description of the present invention, it should be understood that the terms "left side", "right side", "upper part", "lower part", etc. indicate orientations or positional relationships based on those shown in the drawings, only for convenience of description and simplification of description, but do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, "first", "second", etc. do not represent an important degree of the component, and thus, are not to be construed as limiting the present invention. The specific dimensions used in the present example are only for illustrating the technical solution and do not limit the scope of protection of the present invention.
A method for predicting the autogenous volume deformation of concrete doped with nano calcium carbonate and SAP comprises the following steps.
Step 1, constructing an initial prediction model.
The construction is carried out by the mixing amount m of the nano calcium carbonateNCAnd SAP mixing amount mSAPThe model is an initial prediction model of the self-generated volume deformation of independent variable doped nano calcium carbonate and SAP concrete in the early age, and the specific expression is as follows:
wherein:
εc_NC(28)＝g+h·x (2)
εc_SAP(28)＝u·y2+v·x·y (3)
x＝mNC/mcement (4)
y＝mSAP/mcement (5)
among the formulae (1) to (5) are:
εc_NCS(t): self-generated volume deformation of concrete doped with nano calcium carbonate and SAP in early age is multiplied by 10-6；
εc_NC(28): the self-generated volume deformation of the concrete doped with the nano calcium carbonate is multiplied by 10 in 28 days-6；
t: age, day of the concrete since initial setting time;
εc_SAP(28): the self-generated volume deformation value of the shrinkage concrete at 28 days is compensated by the compound doping of the nano calcium carbonate and the SAP, and is multiplied by 10-6；
x: nano calcium carbonate content,%;
y: SAP content,%;
mNC: mixing amount of nano calcium carbonate, kg/m3；
mSAP: amount of SAP in kg/m3；
mcement: is the cement mixing amount, kg/m3；
a. b, c, g, h, u, v, l, m, n: are all unknown parameters to be sought.
Step 2, preparing a target concrete sample: pouring N target concrete samples, and curing; wherein N is more than or equal to 4, preferably N is 5; the nano calcium carbonate doping amount and the SAP doping amount in 5 target concrete samples are different, and the specific table is as follows:
wherein, the doping modes of the nano calcium carbonate and the SAP are external doping.
Further, each of the above-mentioned target concrete samples is preferably cast in a rectangular parallelepiped steel mold having an inner dimension of 515mm in length, 100mm in width and 100mm in height.
And 3, detecting total free deformation.
Detecting and recording the total free deformation of the concrete doped with nano calcium carbonate and SAP in each time interval by preferably adopting an eddy current displacement sensor according to a set time interval, preferably 15 minutes in the embodiment, of each target concrete sample cured in the step 1 until the detection is finished for 28 days; wherein the total free deformation comprises temperature deformation and self-generated volume deformation.
Step 5, calculating unknown parameters a, b, c, g, h, u, v, l, m and n, and specifically comprising the following steps:
step 51, calculating g, h, u, v
E of each target concrete sample obtained in the step 4c_SAP(28) The four linear equations obtained by substituting the equations (2) and (3) are solved to calculate the values of g, h, u, and v, preferably g-430, h-44, u-199.748, and v-147.713, that is, the equations (2) and (3) are expressed as follows:
εc_NC(28)＝-430-44·x
εc_SAP(28)＝199.748·y2+147.713·x·y
step 52, calculating a, b, c, l, m, n
Deforming the self-generated volume epsilon of each early age acquired in the step 4c_NCS(t) and the corresponding age t, nano calcium carbonate content x and SAP content y, and g, h, u, v values calculated in step 51 are all substituted into equation (1), and data regression analysis and Origin software mapping are preferably performed by 1Stop software to obtain functional equations for a, b, c, l, m, n with x and y, respectively, as follows:
a＝0.287+(-0.045)·x+(-0.202)·e-x
b＝0.912+(-0.002)·x+(-0.279)·x0.5
c＝1.201+0.060·x2.5+0.075·x0.5
l＝-23.314·y2+6.779·x·y
m＝4.468·y2+0.050·x·y
n＝-76.622·y2+18.319·x·y。
step 6, constructing a prediction model: and (3) substituting the a, b, c, g, h, u, v, l, m and n obtained by calculation in the step (5) into the formula (1), thereby obtaining the prediction model of the self-generated volume deformation of the concrete doped with the nano calcium carbonate and the SAP in the early age.
Verification of comparison data
1. And (3) adopting data test: and (3) carrying out actual volume deformation data test on cuboid concrete material samples with different nano calcium carbonate and SAP mixing amounts, lengths of 550mm, widths of 100mm and heights of 100 mm.
2. The self-generated volume deformation prediction model constructed by the method is adopted for prediction.
Comparing and analyzing the data of the autogenous volume deformation obtained by the data test and the volume deformation obtained by the prediction of the invention, as shown in figures 1 and 2. The comparison of the test data and the fitting result shows that the self-generated volume deformation curve presents a rule consistent with the distribution rule of the volume prediction model, the correlation degree is high, the self-generated volume deformation prediction model for the early-age shrinkage concrete material compensated by the composite nano calcium carbonate and SAP designed by the invention can well represent the self-generated volume deformation trend of the composite nano calcium carbonate and SAP concrete, the expression of the relation between the model parameters and the doping amount of the nano calcium carbonate and the SAP is simple and convenient, the model can be used for representing the influence of the nano calcium carbonate and the SAP on the model, and the prediction model can better represent the change development rule of the self-generated volume deformation of the composite nano calcium carbonate and SAP concrete material in the early-age along with the age t.
Through the model, the autogenous volume deformation of concrete doped with different amounts of nano calcium carbonate and SAP at any time can be conveniently known without real-time testing through a testing device, and the model has guiding significance for the research on the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP in the early age.
Although the preferred embodiments of the present invention have been described in detail, the present invention is not limited to the details of the embodiments, and various equivalent changes may be made within the technical spirit of the present invention, and the technical scope of the present invention is also covered by the present invention.
Claims (8)
1. A prediction method for autogenous volume deformation of concrete doped with nano calcium carbonate and SAP is characterized by comprising the following steps: the method comprises the following steps: step 1, constructing an initial prediction model: the construction is carried out by the mixing amount m of the nano calcium carbonateNCAnd SAP mixing amount mSAPThe model is an initial prediction model of the self-generated volume deformation of independent variable doped nano calcium carbonate and SAP concrete in the early age, and the specific expression is as follows:
wherein:
εc_NC(28)＝g+h·x (2)
εc_SAP(28)＝u·y2+v·x·y (3)
x＝mNC/mcement (4)
y＝mSAP/mcement (5)
among the formulae (1) to (5) are:
εc_NCS(t): composite doped nano-particlesCalcium carbonate and SAP compensate the self-generated volume deformation of the shrinkage concrete in the early age, x 10-6；
εc_NC(28): the self-generated volume deformation of the concrete doped with the nano calcium carbonate is multiplied by 10 in 28 days-6；
t: age, day of the concrete since initial setting time;
εc_SAP(28): the autogenous volume deformation value of the shrinkage-compensated concrete at 28 days is multiplied by 10 by being doped with nano calcium carbonate and SAP-6；
x: nano calcium carbonate content,%;
y: SAP content,%;
mNC: mixing amount of nano calcium carbonate, kg/m3；
mSAP: amount of SAP in kg/m3；
mcement: is the cement mixing amount, kg/m3；
a. b, c, g, h, u, v, l, m, n: all are unknown parameters to be solved;
step 2, preparing a target concrete sample: pouring N target concrete samples, and curing; wherein N is more than or equal to 4; the doping amount of the nano calcium carbonate and the doping amount of the SAP in the N target concrete samples are different; wherein the value range of the nano calcium carbonate content x is 0-1.5%, and the value range of the SAP content y is 0-0.3%;
step 3, detecting total free deformation: detecting and recording the total free deformation of the concrete doped with the nano calcium carbonate and the SAP at each time interval according to the set time interval for each target concrete sample cured in the step (1) until the detection is finished in 28 days; wherein the total free deformation comprises temperature deformation and self-generated volume deformation;
step 4, obtaining the self-generated volume deformation epsilon of the early agec_NCS(t): temperature deformation is removed from the total free deformation of each age recorded in the step 3, and the self-generated volume deformation epsilon of the target concrete sample at the early age t is obtainedc_NCS(t) and (t) the self-volume deformation epsilon at 28 daysc_SAP(28)；
Step 5, calculating unknown parameters a, b, c, g, h, u, v, l, m and n, and specifically comprising the following steps:
step 51, calculating g, h, u, v: e of each target concrete sample obtained in the step 4c_SAP(28) Respectively substituting the four linear equations into the formulas (2) and (3) to obtain four linear equations, solving the four linear equations, and calculating to obtain values of g, h, u and v;
step 52, calculating a, b, c, l, m, n: deforming the self-generated volume epsilon of each early age acquired in the step 4c_NCS(t), the corresponding age t, the nano calcium carbonate content x and the SAP content y, and g, h, u and v values calculated in the step 51 are all substituted into the formula (1), and a, b, c, l, m and n are subjected to data regression analysis to obtain a function equation of x and y respectively;
step 6, constructing a prediction model: and (4) substituting the a, b, c, g, h, u, v, l, m and n obtained by calculation in the step (5) into the formula (1), thereby obtaining the prediction model of the self-generated volume deformation of the concrete doped with the nano calcium carbonate and the SAP in the early age.
2. The method for predicting the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP according to claim 1, wherein: in step 51, the calculated values g, h, u, and v are g-430, h-44, u-199.748, and v-147.713, respectively.
3. The method for predicting autogenous volume deformation of nano calcium carbonate and SAP-doped concrete according to claim 1, wherein:
in step 52, the function equations of a, b, c, l, m, n and x and y are:
a＝0.287+(-0.045)·x+(-0.202)·e-x
b＝0.912+(-0.002)·x+(-0.279)·x0.5
c＝1.201+0.060·x2.5+0.075·x0.5
l＝-23.314·y2+6.779·x·y
m＝4.468·y2+0.050·x·y
n＝-76.622·y2+18.319·x·y。
4. the method for predicting the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP according to claim 1, wherein: in the step 2, the values of the nano calcium carbonate content x and the SAP content y and the curing temperature in 5 parts of target concrete samples are respectively as follows:
wherein, the doping modes of the nano calcium carbonate and the SAP are external doping.
5. The method for predicting autogenous volume deformation of nano calcium carbonate and SAP-doped concrete according to claim 1, wherein: in step 3, the time interval is set to 15 minutes.
6. The method for predicting the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP according to claim 1, wherein: and 3, detecting the total free deformation of the concrete doped with the nano calcium carbonate and the SAP in each age by adopting an eddy current displacement sensor.
7. The method for predicting autogenous volume deformation of nano calcium carbonate and SAP-doped concrete according to claim 1, wherein: in the step 2, each target concrete sample is poured into a cuboid steel die with the internal dimension of 515mm long, 100mm wide and 100mm high.
8. The method for predicting the autogenous volume deformation of the concrete doped with nano calcium carbonate and SAP according to claim 1, wherein: in step 52, data regression analysis is performed using 1Stop software.
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