CN103353518A - Design method of ternary component cementing material for inhibiting alkali-aggregate reaction - Google Patents
Design method of ternary component cementing material for inhibiting alkali-aggregate reaction Download PDFInfo
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- CN103353518A CN103353518A CN2013102624950A CN201310262495A CN103353518A CN 103353518 A CN103353518 A CN 103353518A CN 2013102624950 A CN2013102624950 A CN 2013102624950A CN 201310262495 A CN201310262495 A CN 201310262495A CN 103353518 A CN103353518 A CN 103353518A
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Abstract
The invention relates to a design method of a ternary component cementing material for inhibiting alkali-aggregate reaction. The design method comprises the following steps of: (1) establishing a regression equation of the composition of the ternary component cementing material and an alkali-aggregate reaction expansion rate according to the principle of a factor design method; (2) selecting the composition of a ternary cementing material for testing; (3) adopting a coordinate transformation relation, and utilizing contour line cartographic software under the existing rectangular coordinate system to draw a contour map in a ternary diagram; and obtaining a safe region and a non-safe region of the cementing material for inhibiting the alkali-aggregate reaction through the drawn ternary diagram; (4) solving the regression equation; and (5) predicting the alkali-aggregate reaction expansion rate of any cementing material composition of the cementing material under constraint conditions. The design method disclosed by the invention has the advantages of simple principle, convenience in drawing the contour map and high prediction result precision, and an effective preventive measure is further provided for preventing the damages of alkali-aggregate reaction engineering caused by adopting an alkali active aggregate.
Description
Technical field
The present invention relates to a kind of method for designing of Binder Materials, especially relate to a kind of ternary component Binder Materials method for designing that suppresses alkali-aggregate reaction.
Background technology
Concrete alkali-aggregate reaction is one of principal element that affects concrete structure durability, because alkali-aggregate reaction is comparatively slow, short then several years, just can be found long then decades, and in case generation just can't be repaired and be remedied, be referred to as concrete " cancer ", also be acknowledged as the second largest concrete diseases that is only second to steel bar corrosion, caused global great attention.
China's activity is gathered materials and is distributed very extensively, and the amount of high-alkali cement is also a lot, and therefore the phase begins to find throughout the country that a large amount of alkali-aggregate reactions destroy case histories in the early 1990s.Since half a century, although the research of alkali-aggregate reaction is never interrupted, also failed radical cure, research generally believes, mixes mineral admixture (such as flyash, breeze, silicon ash etc.) and be the effective measures of prevention and the expansion of control alkali-aggregate reaction.In addition, mix mineral admixture and can also improve concrete endurance quality, can reduce again the consumption of cement, thereby save cost, also can reduce the raw-material waste that causes because produce cement and to the destruction of ecologic environment.
Increasing research is also found, when high activity pozzolanic material (such as silicon ash and metakaolin) is mixed use with low activity pozzolanic material (such as flyash and breeze) as mineral admixture, in the situation that much can show synergy, two effects that are better than singly mixing of mixing appear.But mineral admixture is two when mixing, and the factor that causes affecting mix-design increases, and the design of Binder Materials has just become a problem.And current concrete design method is the impact of having considered a kind of mineral admixture mostly, and the direct research method that two kinds of mineral admixtures are affected concrete performance simultaneously seldom.Traditional the most frequently used method of Binder Materials design is test method, because be difficult to find a model, and sets up the relation of Binder Materials composition parameter and material behavior by it, especially when the Binder Materials composition is more.For example, commonly used Orthogonal Design, artificial neural network algorithm, these methods are the relation of reaction material characteristic and its composition well all, and the computing complexity, and tested number is large.
Summary of the invention
Technical matters to be solved by this invention is, the relation of a kind of well reaction material characteristic and its composition is provided, and computing is simple and easy, the ternary component Binder Materials method for designing of the inhibition alkali-aggregate reaction that tested number is little.Utilize the method, can realize the optimization of proportioning between each component under the ternary gelling system, the safety zone of the cement components of the alkali-aggregate reaction that is inhibited and non-security zone are for the Binder Materials design that suppresses alkali-aggregate reaction provides foundation.
The technical solution adopted for the present invention to solve the technical problems is: a kind of ternary component Binder Materials method for designing that suppresses alkali-aggregate reaction may further comprise the steps:
(1) according to the Factor Design Method principle, sets up the regression equation of ternary component Binder Materials composition and alkali-aggregate reaction expansivity;
(2) choosing the ternary cement components tests;
(3) adopt the coordinate transformation relation, utilize the level line graphics software under the existing rectangular coordinate system that isogram is plotted in the ternary diagram; By be inhibited safety zone and the non-security zone of Binder Materials of alkali-aggregate reaction of the ternary diagram of drawing;
(4) find the solution regression equation;
(5) the alkali-aggregate reaction expansivity that any Binder Materials forms in the prediction Binder Materials constraint condition.
Further, operational design method more specifically may further comprise the steps:
(1) according to the Factor Design Method principle, set up the regression equation of ternary component Binder Materials composition and alkali-aggregate reaction expansivity:
In the formula:
Y-alkali-aggregate reaction expansivity;
The shared mass percent of pozzolanic material A during-ternary Binder Materials forms;
The shared mass percent of pozzolanic material B during-ternary Binder Materials forms;
-regression equation coefficient, dimensionless;
Wherein, the constraint condition of ternary Binder Materials composition is:
, 100% 〉=
〉=0%,
=1,2,3; Do not have constant term in the formula, for once and cross term, its physical significance is: once
Expression cement and pozzolanic material be separately on the impact of alkali-aggregate reaction expansivity, cross term
Expression cement and two kinds of pozzolanic material make up the impact on the alkali-aggregate reaction expansivity, cross term in twos
Expression cement and three kinds of combinations of materials of two kinds of pozzolanic material are on the impact of alkali-aggregate reaction expansivity;
(2) choose the testing site of ternary cement components: choose 7 groups of cement components, be respectively 3 summits of triangle coordinate intermediate cam shape, the mid point on Atria bar limit and leg-of-mutton central point, totally 7 testing sites;
Obtain test figure: according to alkali-aggregate reaction expansion method of testing, with 7 groups of Binder Materials choosing respectively with basic active sand or the cobble after pulverizing test the alkali-aggregate reaction expansivity in the length of time of recording prescribed;
(3) draw the alkali-aggregate reaction isogram: by the coordinate transformation relation between trigonometric coordinates system and the rectangular coordinate system, according to the test figure of 7 groups of Binder Materials choosing, utilize the level line graphics software under the existing rectangular coordinate system that alkali-aggregate reaction expansivity isogram is plotted in the ternary diagram; By be inhibited safety zone and the non-security zone of Binder Materials of alkali-aggregate reaction of the ternary diagram of drawing;
(4) find the solution regression equation: in the test figure difference substitution regression equation of 7 groups of Binder Materials will choosing, set up system of equations, try to achieve the regression equation coefficient
, get regression equation;
(5) any alkali-aggregate reaction expansivity that forms of Binder Materials in the prediction Binder Materials constraint condition: according to regression equation, try to achieve any Binder Materials that satisfies constraint condition under the ternary gelling system corresponding alkali-aggregate reaction expansivity when forming.
The principle of the invention is simple, and isogram is drawn convenient, and the precision that predicts the outcome is high, for preventing providing effective preventive measure because of the alkali-aggregate reaction destruction that engineering uses the basic active aggregate to cause.
Description of drawings
Fig. 1 is embodiment of the invention cement-breeze-flyash ternary bonding component design drawing;
Fig. 2 is that rectangular coordinate system and trigonometric coordinates are the transformational relation schematic diagram;
Fig. 3 is the 14d expansivity isogram that contains Xiangjiang River Flowing Xiangtan City sand;
Fig. 4 is the 28d expansivity isogram that contains Xiangjiang River Flowing Xiangtan City sand;
Fig. 5 is the 14d expansivity isogram that contains the Xiangjiang River Flowing Xiangtan City cobble;
Fig. 6 is the 28d expansivity isogram that contains the Xiangjiang River Flowing Xiangtan City cobble;
Fig. 7 is the relation that contains Xiangjiang River Flowing Xiangtan City sand and cobble 14d predicted value in the length of time and experiment value;
Fig. 8 is the relation that contains Xiangjiang River Flowing Xiangtan City sand and cobble 28d predicted value in the length of time and experiment value;
Among Fig. 1: SA, SB, SC sand A, B, three groups of experiments of C, the A group is design team, B, the C group is prediction group; LA, LB, LC cobble A, B, three groups of experiments of C, the A group is design team, B, the C group is prediction group;
Among Fig. 7: the A sand, linear fit equation and related coefficient are: y=x-0.0027, R=0.98; The B cobble, linear fit equation and related coefficient are: y=x-0.0049, R=0.99;
Among Fig. 8: the A sand, linear fit equation and related coefficient are: y=x-0.0021, R=0.99; The B cobble, linear fit equation and related coefficient are: y=x-0.0168, R=0.99.
Embodiment
The invention will be further described below in conjunction with embodiment.
Embodiment
Use sand and the cobble of Xiangjiang River Flowing Xiangtan City, adopt low alkali cement, two kinds of pozzolanic material are used flyash and breeze, measure the alkali-aggregate reaction swell value of 14d and 28d according to ASTM C1260 method, and detailed Binder Materials design implementation process is as follows:
(1) according to the Factor Design Method principle, set up the regression equation of ternary component Binder Materials composition and alkali-aggregate reaction expansivity:
In the formula:
Y-alkali-aggregate reaction expansivity;
Wherein, the constraint condition of ternary Binder Materials composition is:
, 100% 〉=
〉=0%,
=1,2,3; Do not have constant term in the formula, for once and cross term, its physical significance is: once
Expression cement and pozzolanic material be separately on the impact of alkali-aggregate reaction expansivity, cross term
Expression cement and two kinds of pozzolanic material make up the impact on the alkali-aggregate reaction expansivity, cross term in twos
Expression cement and three kinds of combinations of materials of two kinds of pozzolanic material are on the impact of alkali-aggregate reaction expansivity;
(2) choose the testing site of ternary cement components and obtain test figure
A. the choosing of testing site in the ternary cement components
Adopt two kinds of pozzolanic material flyash and breeze to suppress alkali-aggregate reaction, 7 groups of experiments of design are used for the design of Binder Materials in the ternary bonding component system of cement-fly ash-breeze; Consider the engineering actual conditions, the doping quantity of fly ash value is 0%≤Y≤30%, and contents of ground slag is 0%≤Z≤50%, therefore a design little triangle (△ 1. 5. 7.) in triangular coordinate system as shown in Figure 1, and is chosen 7 points as the composition of Binder Materials, be respectively medium and small leg-of-mutton 3 summits of triangle coordinate (1., 5., 7.), the mid point on three limits (2., 3., 6.) and central point (4.), Fig. 1 and table 1 are seen in totally 7 testing sites.
For the validity to the method is estimated, to the 10 groups of future position cement components of test design that contain Xiang River sand and cobble, see Fig. 1 and table 2.
B. obtain test figure
Test according to ASTM C1260 method, will contain the cement components of 7 groups of mortar bars test specimens of Xiangjiang River Flowing Xiangtan City sand and cobble and the expansivity of 14d and 28d and list in table 3.
(3) draw alkali-aggregate reaction expansivity isogram
Referring to Fig. 2, set up rectangular coordinate system
With triangular coordinate system
Relation, the former is two variablees for these two kinds of coordinate systems, and the latter to seem be 3 variablees owing to satisfying relation
, thereby the latter also only has two variablees in fact, thus two kinds of establishment of coordinate systems corresponding relation one by one; Simultaneously, consider that the volume of breeze among the embodiment is 0%～50%, doping quantity of fly ash is 0%～30%, so the span of triangle coordinate is:
(cement) coordinate is 0.5～1,
(flyash) coordinate is 0～0.5,
(breeze) coordinate is 0～0.5, and the initial point (0,0) in the corresponding rectangular coordinate system of the point in the triangular coordinate system (0.5,0,0.5) obtains Formula of Coordinate System Transformation (2):
When drawing isoline with contour mapping software according to 7 groups of tests simultaneously, if need to select interpolation method, the Kriging interpolation computing method is chosen in suggestion, because when this method overlaps with sampling spot at interpolation point, the value of interpolation point is exactly the value of sample point, and other method can not guarantee so, so obtain containing 14d and the 28d alkali-aggregate reaction expansion isoline of Xiang River sand and cobble, shown in Fig. 3-6, by be inhibited safety zone and the non-security zone of Binder Materials of alkali-aggregate reaction of the ternary diagram of drawing, expansivity is the safety zone less than the Binder Materials compositing area of 0.1% correspondence, and expansivity is non-security zone greater than the Binder Materials compositing area of 0.1% correspondence.
(4) find the solution regression equation
In table 3 medium sand and 7 groups of experimental result substitution regression equations of cobble difference, try to achieve the regression equation coefficient, list in table 4, thereby obtain containing the 14d of Xiang Tan section sand and cobble and four predictive equations (3)-(6) that 28d tests the length of time.
(5) the alkali-aggregate reaction expansivity that any Binder Materials forms in the prediction Binder Materials constraint condition
Try to achieve the expansivity (being predicted value) of alkali-aggregate reaction in the above-mentioned equation of future position cement components substitution (3)-(6) with experimental design, simultaneously, record experiment value according to ASTM C1260 test method, alkali-aggregate reaction predicted value and the experiment value that will contain Xiang Tan section sand and cobble are listed in respectively table 5 and table 6, the result shows, the predicted value that the present invention obtains and experiment value result are very approaching, satisfy the accuracy requirement of ASTM C1260 regulation.For the relation of the two relatively more easily, Fig. 7 and Fig. 8 carry out match to the result of sand and cobble respectively, and its related coefficient is up to 0.98, and then embody accuracy of the present invention, importance and applicability.
Claims (2)
1. a ternary component Binder Materials method for designing that suppresses alkali-aggregate reaction is characterized in that, may further comprise the steps:
(1) according to the Factor Design Method principle, sets up the regression equation of ternary component Binder Materials composition and alkali-aggregate reaction expansivity;
(2) choosing the ternary cement components tests;
(3) adopt the coordinate transformation relation, utilize the level line graphics software under the existing rectangular coordinate system that isogram is plotted in the ternary diagram; By be inhibited safety zone and the non-security zone of Binder Materials of alkali-aggregate reaction of the ternary diagram of drawing;
(4) find the solution regression equation;
(5) the alkali-aggregate reaction expansivity that any Binder Materials forms in the prediction Binder Materials constraint condition.
2. the ternary component Binder Materials method for designing of inhibition alkali-aggregate reaction according to claim 1 is characterized in that, may further comprise the steps:
(1) according to the Factor Design Method principle, set up the regression equation of ternary component Binder Materials composition and alkali-aggregate reaction expansivity:
In the formula:
Y-alkali-aggregate reaction expansivity;
Wherein, the constraint condition of ternary Binder Materials composition is:
, 100% 〉=
〉=0%,
=1,2,3; Do not have constant term in the formula, for once and cross term, its physical significance is: once
Expression cement and pozzolanic material be separately on the impact of alkali-aggregate reaction expansivity, cross term
Expression cement and two kinds of pozzolanic material make up the impact on the alkali-aggregate reaction expansivity, cross term in twos
Expression cement and three kinds of combinations of materials of two kinds of pozzolanic material are on the impact of alkali-aggregate reaction expansivity;
(2) choose the testing site of ternary cement components: choose 7 groups of cement components, be respectively 3 summits of triangle coordinate intermediate cam shape, the mid point on Atria bar limit and leg-of-mutton central point, totally 7 testing sites;
Obtain test figure: according to alkali-aggregate reaction expansion method of testing, with 7 groups of Binder Materials choosing respectively with basic active sand or the cobble after pulverizing test the alkali-aggregate reaction expansivity in the length of time of recording prescribed;
(3) draw the alkali-aggregate reaction isogram: by the coordinate transformation relation between trigonometric coordinates system and the rectangular coordinate system, according to the test figure of 7 groups of Binder Materials choosing, utilize the level line graphics software under the existing rectangular coordinate system that alkali-aggregate reaction expansivity isogram is plotted in the ternary diagram; By be inhibited safety zone and the non-security zone of Binder Materials of alkali-aggregate reaction of the ternary diagram of drawing;
(4) find the solution regression equation: in the test figure difference substitution regression equation of 7 groups of Binder Materials will choosing, set up system of equations, try to achieve the regression equation coefficient
, get regression equation;
(5) any alkali-aggregate reaction expansivity that forms of Binder Materials in the prediction Binder Materials constraint condition: according to regression equation, try to achieve any Binder Materials that satisfies constraint condition under the ternary gelling system corresponding alkali-aggregate reaction expansivity when forming.
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| CN106007541A (en) * | 2016-05-31 | 2016-10-12 | 湖南大学 | Method for designing high-performance concrete based on various performance requirements |
| CN107117845A (en) * | 2017-06-28 | 2017-09-01 | 重庆大学 | A kind of method for suppressing concrete alkali silica reaction |
| CN109516707A (en) * | 2018-12-29 | 2019-03-26 | 湖南大学 | A kind of preparation method for the recycled aggregate inhibiting alkali-aggregate reaction |
| CN113191058A (en) * | 2021-05-14 | 2021-07-30 | 中国水利水电科学研究院 | Method for controlling alkali-aggregate reaction deformation of concrete of high arch dam |
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| CN113191058A (en) * | 2021-05-14 | 2021-07-30 | 中国水利水电科学研究院 | Method for controlling alkali-aggregate reaction deformation of concrete of high arch dam |
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Application publication date: 20131016 |