CN112668176B - Design method of coarse aggregate-containing ultra-high performance fiber reinforced concrete - Google Patents
Design method of coarse aggregate-containing ultra-high performance fiber reinforced concrete Download PDFInfo
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
The invention relates to a design method of ultra-high performance fiber reinforced concrete containing coarse aggregate, which comprises the steps of determining the types of raw material solid components including cement, quartz sand, steel fiber, admixture and coarse aggregate; selecting two performance indexes S and P and two key factors, designing a plurality of experimental groups by using a two-factor two-level center combination point experimental design method, and substituting the experimental groups into a particle close packing theoretical model equation to obtain a plurality of groups of initial mix ratios; preparing concrete according to different initial mixing ratios, and testing performance indexes S and P; respectively establishing polynomial regression equations of the S and the P and the two key factors, and jointly solving to obtain preferred values of the two key factors; substituting the optimal value into a particle close packing theoretical model equation to determine a basic mixing ratio; preparing concrete with different viscosities under the condition of basic mixing proportion; and respectively adding a fixed amount of steel fibers into the concrete with different viscosities, testing the performance indexes S and P of the concrete, and preferably obtaining the concrete meeting the performance requirements.
Description
Technical Field
The invention belongs to the field of engineering materials, and particularly relates to a design method of ultra-high performance fiber reinforced concrete containing coarse aggregate.
Background
The ultra-high performance fiber reinforced concrete is a novel building material combining the performances of a high performance concrete matrix and a fiber reinforced material, and the performance of the building material is represented by ultra-high mechanical performance and excellent durability.
The ultra-high performance fiber reinforced concrete has attracted wide attention once the advent of the prior art, and the excellent performance determines that the ultra-high performance fiber reinforced concrete has unique advantages in the aspects of enhancing the mechanical stability of a building structure, prolonging the service life of the structure and reducing the whole cycle cost and energy consumption of the building. The ultra-high toughness of the ultra-high performance fiber reinforced concrete can meet the requirement of bridge deck pavement on the tensile strength of the concrete, and the combined bridge deck formed by combining the ultra-high performance fiber reinforced concrete and the orthotropic plate steel bridge deck can remarkably improve the rigidity of the bridge deck, reduce the stress amplitude of the orthotropic plate, improve the fatigue life of the steel bridge deck, and solve the two technical problems of damage of a pavement layer of the steel bridge deck and fatigue cracking of the steel bridge deck at one time.
In order to obtain a compact internal structure, coarse aggregate is often removed when the ultra-high performance fiber reinforced concrete is prepared, and the fine aggregate and the superfine powder are combined by adopting the closest particle stacking theory, so that the performance is improved. The ultra-high performance fiber reinforced concrete containing the coarse aggregate has the characteristics of high elastic modulus, low shrinkage and low cost, and has wide application space in the engineering application field, however, a scientific design method for preparing the ultra-high performance fiber reinforced concrete containing the coarse aggregate is not available at present, and the preparation is mainly based on experiments and experiences, so that the prepared ultra-high performance fiber reinforced concrete containing the coarse aggregate has relatively diversity and uncontrollability of performance.
Disclosure of Invention
The embodiment of the invention provides a design method of coarse aggregate-containing ultra-high performance fiber reinforced concrete, which aims to solve the problem that a scientific design method for preparing coarse aggregate-containing ultra-high performance fiber reinforced concrete is lacked in the related art.
In order to solve the technical problems, the design method of the ultra-high performance fiber reinforced concrete containing coarse aggregate provided by the invention comprises the following steps:
determining the types of raw material solid components including cement, quartz sand, steel fibers, admixtures and coarse aggregates;
selecting two performance indexes S and P of concrete, determining two key factors influencing the S and the P, and designing a plurality of experimental groups by using a two-factor two-level center combination point experimental design method;
substituting two key factors of each experimental group and particle size parameters of cement, admixture and quartz sand into a particle close packing theoretical model equation to obtain a plurality of groups of initial mixing ratios;
preparing concrete according to different initial mixing ratios, and testing performance indexes S and P; respectively establishing polynomial regression equations of S and P and two key factors;
solving the two polynomial regression equations in a combined mode to obtain preferred values of two key factors;
substituting the optimal values of two key factors into a particle close packing theoretical model equation, and determining the proportion of each solid component in the raw materials as a basic mixing proportion;
under the condition of basic mixing proportion, adding different amounts of viscosity modifying materials to prepare concrete with different viscosities;
respectively adding a fixed amount of steel fibers into the concrete with different viscosities, and testing performance indexes S and P of the concrete; and (3) optimizing concrete with S and P meeting the performance requirements according to the test result.
On the basis of the technical proposal, in the solid component, the cement is ordinary silicate cement or sulphoaluminate cement with the strength grade of more than 42.5; the quartz sand is 20-70 mesh continuous graded quartz sand, and the silicon dioxide content is more than or equal to 90%; the steel fibers are copper plated steel fibers with tensile strength more than or equal to 1900MPa; the admixture comprises silica fume, microbeads, metakaolin and mineral powder; the coarse aggregate is basalt aggregate.
Based on the technical scheme, the equation of the particle close packing theoretical model is as follows:
wherein D is i Represents the particle size of the particles; p (D) i ) Represents less than D i Particle cumulative fraction (%); d (D) max Represents the maximum particle size of the particles; d (D) min Represents the smallest particle size of the particles; q represents a close packing factor; i is a natural number.
Based on the above technical solution, the performance index S is an initial fluidity or an elastic modulus, and the performance index P is a compressive strength, a flexural strength or a tensile strength, for example, a 28d flexural strength, a 1d compressive strength, a 28d tensile strength, a 28d compressive strength, etc.
On the basis of the technical scheme, key factors influencing the performance indexes S and P are the stacking coefficient q and the maximum particle size of each solid component, preferably the maximum particle size D of coarse aggregate.
On the basis of the technical scheme, the polynomial regression equation is a second-order polynomial model, and the mathematical expression of the model is as follows:
wherein Y represents a performance target value, beta 0 、β i 、β ii In turn, an offset term, a linear offset, and a second order offset coefficient, beta ij Coefficients representing interactions, x i 、x j All represent the level values of all factors, i, j and k are natural numbers.
Based on the technical scheme, the viscosity modifying material comprises a viscosity increasing component and a viscosity reducing component, wherein the viscosity increasing component is metakaolin, and the viscosity reducing component is a viscosity reducing additive.
Based on the technical scheme, under the condition of basic mixing proportion, different amounts of viscosity modifying materials are added to prepare the concrete with the viscosity ranging from 30 Pa.s to 60 Pa.s.
Based on the technical scheme, steel fibers with volume doping amount of 2% are respectively added into the concrete with different viscosities, and the performance indexes S and P of the concrete are tested.
The invention also provides the ultra-high performance fiber reinforced concrete containing the coarse aggregate, and the mixing ratio is as follows: 850kg/m cement 3 10kg/m of metakaolin 3 140kg/m of silica fume 3 Microbeads 50kg/m 3 300kg/m of 20-40 mesh quartz sand 3 475kg/m of 40-70 mesh quartz sand 3 560kg/m coarse aggregate 3 215kg/m of water 3 15kg/m water reducing agent 3 The volume doping amount of the steel fiber is 2%.
The technical scheme provided by the invention has the beneficial effects that:
the invention improves the scientificity of the design method of the coarse aggregate-containing ultra-high performance fiber reinforced concrete and establishes the technical route for preparing the coarse aggregate ultra-high performance fiber reinforced concrete, wherein the key parameters of the technical route can be determined according to the characteristics of raw materials. The method is simple to operate, and can accurately obtain the reasonable proportion of the components required by the coarse aggregate-containing ultra-high performance fiber reinforced concrete, and the coarse aggregate-containing ultra-high performance fiber reinforced concrete meeting the performance requirements can be efficiently prepared.
Drawings
Fig. 1 shows the initial fluidity S and 28d compressive strength P of coarse aggregate-containing ultra-high performance fiber reinforced concrete of different viscosities.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described in conjunction with the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
(1) Determining raw materials and volume parameters of the ultra-high performance fiber reinforced concrete containing coarse aggregate: p.o52.5 cement; quartz sand with two gradations of 20-40 meshes and 40-70 meshes, wherein the silicon dioxide content is more than or equal to 90 percent; copper-plated steel fibers with the diameter of 0.2mm and the length of 13mm have the tensile strength of more than or equal to 1900MPa; silica fume; microbeads; metakaolin; mineral powder; basalt coarse aggregate with maximum particle sizes of 2.3mm, 2.9mm, 3.2mm, 4.3mm, 4.75mm, 5.3mm and 6.2mm respectively.
(2) Introducing a particle close packing theoretical model equation:
wherein D is i Represents the particle size of the particles; p (D) i ) Represents less than D i Particle cumulative fraction (%); d (D) max Represents the maximum particle size of the particles; d (D) min Represents the smallest particle size of the particles; q represents a close packing factor; i is a natural number and represents a group.
(3) The experimental groups for setting the influence of the close packing coefficient q and the maximum grain diameter D of coarse aggregate on the initial fluidity S and the 28D compressive strength P by a two-factor two-level center combination point experimental design method are as follows:
table 1 two factors two level experiment group
(4) Substituting the variables of a plurality of experimental groups designed in the step (3) and the particle diameter parameters of cement, admixture and quartz sand into the particle close packing theoretical model equation in the step (2) to obtain 9 groups of different initial mix ratios, respectively preparing concrete according to the 9 groups of initial mix ratios, and testing the initial fluidity S and the 28d compressive strength P of each concrete, wherein the results are shown in the table 2:
TABLE 2 results of Performance test of concrete of different initial mix ratios
(5) From the results of the performance test of Table 2, initial fluidity S, 28d compressive strength P and variable close packing coefficient q (where x is used 1 Expressed by the formula), the maximum particle diameter D of coarse aggregate (wherein x is used 2 Representation) of the polynomial regression equation:
S＝478.5-192.7x 1 +73.1x 2 +60x 1 x 2 -180x 1 2 -11.6x 2 2
P＝100.7+3.8x 1 -5.4x 2 +9x 1 x 2 -58x 1 2 +0.09x 2 2
the mathematical expression of the established second-order polynomial model is as follows:
wherein Y represents a performance target value, beta 0 、β i 、β ii In turn, an offset term, a linear offset, and a second order offset coefficient, beta ij Coefficients representing interactions, x i 、x j All represent the level values of all factors, i, j and k are natural numbers.
(6) And (3) solving the two regression equations in the step (5) in a combined mode according to the central point design method, and obtaining the optimal value of the close packing coefficient q of 0.2 and the optimal value of the maximum particle size D of the coarse aggregate of 2.9mm.
(7) And (3) selecting basalt coarse aggregate with the maximum particle size of 2.9mm as one of raw materials, adopting a particle close packing theoretical model equation in the step (2) to design a mixing ratio, and setting a close packing coefficient q to be 0.2. The basic mix ratio of the ultra-high performance fiber reinforced concrete containing the coarse aggregate is obtained through calculation, and is shown in table 3:
TABLE 3 basic mix ratio (kg/m) of ultra-high Performance fiber reinforced concrete containing coarse aggregate 3 )
(8) Under the basic mixing proportion condition, different amounts of viscosity modifying materials are added to prepare concrete with different viscosities, and six groups are combined together, and the mixing proportion of each group is shown in table 4. The viscosity modifying material adopts metakaolin as an adhesion promoter component and a viscosity reducing additive as a viscosity reducing component.
TABLE 4 mixing ratios (kg/m) of concrete with different viscosities 3 )
In order to make the 28d compressive strength P of the ultra-high performance fiber reinforced concrete containing coarse aggregate meet the design requirement of 120MPa, copper-plated steel fibers are added into the concrete with different viscosities designed in the table 4 according to the volume doping amount of 2%, and the initial fluidity S and the 28d compressive strength P of the concrete are tested, and the test results are shown in figure 1.
(9) From the test results shown in fig. 1, the initial fluidity S and the 28d compressive strength P of the ultra-high performance fiber reinforced concrete containing coarse aggregate are obviously affected by the viscosity of the slurry. As the viscosity of the slurry is increased, the initial fluidity S basically tends to be reduced, and the 28d compressive strength P is increased and then reduced firstly, mainly because the phenomenon that steel fibers cannot be well dispersed in concrete and even sedimentation occurs when the viscosity of the slurry is too small, namely copper-plated steel fibers are intensively sunk to the bottom surface of a concrete test piece under the influence of gravity, so that the mechanical property of the concrete is reduced; under the condition that the copper-plated steel fibers are the same in dosage, the viscosity of the slurry is properly improved, so that the uniform distribution of the copper-plated steel fibers is facilitated, and the fiber reinforcement effect is better; however, as the viscosity of the slurry continues to increase, the resistance of the copper-plated steel fibers to disperse increases, and even distribution becomes difficult, and the fiber-reinforcing effect is reduced. In contrast, the initial fluidity S of the III group and the IV group is 565mm, 570mm and 28d compressive strength P is 134Mpa and 131Mpa respectively.
(10) In order to achieve better effect of fiber reinforcement and meet the design requirement of mechanical properties, group III is preferably used as final coarse aggregate-containing ultra-high performance fiber reinforced concrete, namely, the mixing ratio of group III is the optimal mixing ratio, as shown in table 5:
TABLE 5 optimal mix ratio (kg/m) of ultra-high Performance fiber reinforced concrete containing coarse aggregate 3 )
The foregoing is only a specific embodiment of the invention to enable those skilled in the art to understand or practice the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (9)
1. The design method of the ultra-high performance fiber reinforced concrete containing the coarse aggregate is characterized by comprising the following steps of:
determining the types of raw material solid components including cement, quartz sand, steel fibers, admixtures and coarse aggregates;
selecting two performance indexes S and P of concrete, determining two key factors influencing the S and the P, and designing a plurality of experimental groups by using a two-factor two-level center combination point experimental design method;
substituting two key factors of each experimental group into a particle close packing theoretical model equation to obtain a plurality of groups of initial mixing ratios;
preparing concrete according to different initial mixing ratios, and testing performance indexes S and P; respectively establishing polynomial regression equations of S and P and two key factors;
solving the two polynomial regression equations in a combined mode to obtain preferred values of two key factors;
substituting the optimal values of two key factors into a particle close packing theoretical model equation, and determining the proportion of each solid component in the raw materials as a basic mixing proportion;
under the condition of basic mixing proportion, adding different amounts of viscosity modifying materials to prepare concrete with different viscosities;
respectively adding a fixed amount of steel fibers into the concrete with different viscosities, and testing performance indexes S and P of the concrete; and (3) optimizing concrete with S and P meeting the performance requirements according to the test result.
2. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: in the solid component, the cement is ordinary silicate cement or sulphoaluminate cement with the strength grade of more than 42.5; the quartz sand is 20-70 mesh continuous graded quartz sand, and the silicon dioxide content is more than or equal to 90 percent; the steel fibers are copper plated steel fibers with tensile strength more than or equal to 1900MPa; the admixture comprises silica fume, microbeads, metakaolin and mineral powder; the coarse aggregate is basalt aggregate.
3. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: the particle close packing theoretical model equation is:
wherein D is i Represents the particle size of the particles; p (D) i ) Represents less than D i Particle cumulative fraction (%); d (D) max Represents the maximum particle size of the particles; d (D) min Represents the smallest particle size of the particles; q represents a close packing factor; i is a natural number.
4. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: the performance index S is initial fluidity or elastic modulus, and the performance index P is compressive strength, flexural strength or tensile strength.
5. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 4, wherein: the key factors influencing the performance indexes S and P are the stacking coefficient q and the maximum particle size D of coarse aggregate.
6. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: the polynomial regression equation is a second-order polynomial model, and the mathematical expression of the second-order polynomial model is as follows:
wherein Y represents a performance target value, beta 0 、β i 、β ii In turn, an offset term, a linear offset, and a second order offset coefficient, beta ij Coefficients representing interactions, x i 、x j All represent the level values of all factors, i, j and k are natural numbers.
7. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: the viscosity modifying material comprises a viscosity increasing component and a viscosity reducing component, wherein the viscosity increasing component is metakaolin, and the viscosity reducing component is a viscosity reducing additive.
8. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: under the condition of basic mixing proportion, different amounts of viscosity modifying materials are added to prepare the concrete with the viscosity ranging from 30 Pa.s to 60 Pa.s.
9. The method for designing the coarse aggregate-containing ultra-high performance fiber reinforced concrete according to claim 1, wherein: and respectively adding steel fibers with volume doping amount of 2% into the concrete with different viscosities, and testing the performance indexes S and P of the concrete.
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| CN113773004B (en) * | 2021-09-28 | 2022-06-03 | 中建三局绿色产业投资有限公司 | Coarse aggregate-containing ultra-high performance concrete formula and low-cost design method |
| CN115233704A (en) * | 2022-07-26 | 2022-10-25 | 深圳市市政工程总公司 | Mix proportion design method of regenerative backfill material |
| CN115557744A (en) * | 2022-07-30 | 2023-01-03 | 王居林 | Method for optimizing ultrahigh-performance concrete by multi-factor parameter method |
| CN116081999A (en) * | 2023-02-09 | 2023-05-09 | 吉林建筑大学 | High-performance sprayed concrete and preparation method thereof |
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