CN112668176A - Design method of ultra-high performance fiber reinforced concrete containing coarse aggregate - Google Patents
Design method of ultra-high performance fiber reinforced concrete containing coarse aggregate Download PDFInfo
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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 firstly determining the types of raw material solid components such as 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 test design method, and substituting the experimental groups into a particle tight packing theoretical model equation to obtain a plurality of groups of initial mix proportions; preparing concrete according to different initial mixing proportions, and testing performance indexes S and P; respectively establishing polynomial regression equations of S and P and the two key factors, and jointly solving to obtain the optimal values of the two key factors; substituting the optimized value into a theoretical model equation of particle close packing 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 selecting 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 aggregates.
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 performances of the ultra-high performance fiber reinforced concrete are represented by ultra-high mechanical properties and excellent durability.
The ultra-high performance fiber reinforced concrete attracts wide attention once coming out, 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-period cost and energy consumption of the building. The ultrahigh-toughness of the ultrahigh-performance fiber reinforced concrete can meet the requirement of bridge deck pavement on the tensile strength of the concrete, a combined bridge deck formed by combining the ultrahigh-performance fiber reinforced concrete and orthotropic plate steel bridge decks can obviously improve the rigidity of the bridge deck, reduce the stress amplitude of orthotropic plates, prolong the fatigue life of steel bridge deck slabs, and solve two technical problems of damage of a steel bridge deck pavement layer and fatigue cracking of the steel bridge deck at one step.
In order to obtain a compact internal structure, coarse aggregates are often removed when preparing ultra-high performance fiber reinforced concrete, and the fine aggregates are combined with ultrafine powder by adopting the theory of closest particle packing, 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 also has wide application space in the field of engineering application, 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 coarse aggregate ultra-high performance fiber reinforced concrete shows relative diversity and uncontrollable performance.
Disclosure of Invention
The embodiment of the invention provides a design method of ultra-high performance fiber reinforced concrete containing coarse aggregate, which aims to solve the problem that a scientific design method for preparing the ultra-high performance fiber reinforced concrete containing the coarse aggregate is lacked in the related technology.
In order to solve the technical problems, the invention provides a design method of ultra-high performance fiber reinforced concrete containing coarse aggregate, which comprises the following steps:
determining the types of raw material solid components such as cement, quartz sand, steel fiber, admixture and coarse aggregate;
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 center combination point experimental design method with two levels of the two factors;
substituting two key factors of each experimental group and particle size parameters of cement, admixture and quartz sand into a particle tight packing theoretical model equation to obtain multiple groups of initial mixing ratios;
preparing concrete according to different initial mixing proportions, and testing performance indexes S and P; respectively establishing polynomial regression equations of S and P and two key factors;
jointly solving the two polynomial regression equations to obtain the optimal values of the two key factors;
substituting the optimized values of the two key factors into a particle tight 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 concrete with different viscosities, and testing the performance indexes S and P of the concrete; and (4) preferably selecting the concrete with S and P meeting the performance requirements according to the test result.
On the basis of the technical scheme, in the solid components, the cement is ordinary portland cement or sulphoaluminate cement with the strength grade of more than 42.5; the quartz sand is 20-70 meshes of continuous gradation quartz sand, and the content of silicon dioxide is more than or equal to 90 percent; the steel fiber is copper-plated steel fiber with tensile strength more than or equal to 1900 MPa; the admixture comprises silica fume, micro-beads, metakaolin and mineral powder; the coarse aggregate is basalt aggregate.
On the basis of the technical scheme, the theoretical model equation of particle close packing is as follows:
wherein D isiRepresents the particle size of the particles; p (D)i) Represents less than Di(ii) particle accumulation fraction (%); dmaxRepresents the maximum particle size of the particles; dminRepresents the minimum particle size of the particles; q represents the close packing coefficient; i is a natural number.
On the basis of the above technical solution, the performance index S is the initial fluidity or elastic modulus, and the performance index P is the compressive strength, the flexural strength or the tensile strength, for example, 28d flexural strength, 1d compressive strength, 28d tensile strength, 28d compressive strength, and the like.
On the basis of the technical scheme, the key factors influencing the performance indexes S and P are the stacking coefficient q and the maximum particle size of each solid component, and the maximum particle size D of coarse aggregate is preferred.
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 isTarget value of watch performance, beta0、βi、βiiIn turn, an offset term, a linear offset, and a second order offset coefficient, βijCoefficient representing interaction, xi、xjAll represent the level value of each factor, and i, j and k are natural numbers.
On the basis of 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.
On the basis of 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 range of 30-60 Pa.s.
On the basis of the technical scheme, the steel fibers with the volume mixing amount of 2 percent 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 coarse aggregate-containing ultrahigh-performance fiber reinforced concrete, which comprises the following components in parts by weight: cement 850kg/m310kg/m metakaolin3140kg/m silica fume350kg/m of microbeads3300kg/m of 20-40 mesh quartz sand3475kg/m of quartz sand with 40-70 meshes3560kg/m of coarse aggregate3215kg/m of water315kg/m of water reducing agent3And the volume mixing amount of the steel fiber is 2 percent.
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 ultrahigh-performance fiber reinforced concrete, and establishes a technical route for preparing the coarse aggregate ultrahigh-performance fiber reinforced concrete, which can determine key parameters according to the characteristics of raw materials. The method is simple to operate, can accurately obtain the reasonable proportion of the components required by the coarse aggregate-containing ultrahigh-performance fiber reinforced concrete, and efficiently prepare the coarse aggregate-containing ultrahigh-performance fiber reinforced concrete meeting the performance requirements.
Drawings
Figure 1 shows the initial fluidity S and 28d compressive strength P of coarse aggregate ultra high performance fiber reinforced concrete of different viscosities.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer, the technical solutions of the present invention will be clearly and completely described below with reference to the embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
Example 1
(1) Determining raw materials and volume parameters of the coarse aggregate-containing ultrahigh-performance fiber reinforced concrete: P.O 52.5 cement; the silica content of the 20-40 mesh and 40-70 mesh quartz sand is more than or equal to 90%; the copper-plated steel fiber with the diameter of 0.2mm and the length of 13mm has the tensile strength of more than or equal to 1900 MPa; silica fume; microbeads; metakaolin; mineral powder; basalt coarse aggregates with the maximum grain diameters of 2.3mm, 2.9mm, 3.2mm, 4.3mm, 4.75mm, 5.3mm and 6.2mm respectively.
(2) Introducing a theoretical model equation of particle close packing:
wherein D isiRepresents the particle size of the particles; p (D)i) Represents less than Di(ii) particle accumulation fraction (%); dmaxRepresents the maximum particle size of the particles; dminRepresents the minimum particle size of the particles; q represents the close packing coefficient; i is a natural number and represents a group.
(3) Through a two-factor two-level center combination point test design method, an experimental group for setting the influence of a close packing coefficient q and a maximum coarse aggregate particle size D on initial fluidity S and 28D compressive strength P is as follows:
TABLE 1 two-factor two-level experimental group
(4) Respectively substituting the variables of a plurality of experimental groups designed in the step (3) and the particle size parameters of the cement, the admixture and the quartz sand into the particle close packing theoretical model equation in the step (2) to obtain 9 groups of different initial mixing ratios, respectively preparing concrete according to the 9 groups of initial mixing ratios, and testing the initial fluidity S and the 28d compressive strength P of each concrete, wherein the results are shown in a table 2:
TABLE 2 results of performance testing of concretes of different initial mix proportions
(5) Based on the performance test results in Table 2, the initial fluidity S, the 28d compressive strength P and the variable compact packing coefficient q (x is used in the formula)1Expressed), coarse aggregate maximum particle diameter D (wherein x is used in the formula)2Expression) of the polynomial regression equation:
S＝478.5-192.7x1+73.1x2+60x1x2-180x1 2-11.6x2 2
P＝100.7+3.8x1-5.4x2+9x1x2-58x1 2+0.09x2 2
the mathematical expression of the established second-order polynomial model is as follows:
wherein Y represents a target value of performance, β0、βi、βiiIn order of offset term, linear offset and second orderCoefficient of offset, betaijCoefficient representing interaction, xi、xjAll represent the level value of each factor, and i, j and k are natural numbers.
(6) And (4) jointly solving the two regression equations in the step (5) according to a central point combined design method, and obtaining the optimal value of the close packing coefficient q as 0.2 and the optimal value of the maximum particle size D of the coarse aggregate as 2.9 mm.
(7) Selecting basalt coarse aggregates with the maximum grain size of 2.9mm as one of raw materials, adopting a theoretical model equation of particle close packing in the step (2) to design the mixing proportion, and setting the close packing coefficient q to be 0.2. The basic mix proportion of the coarse aggregate-containing ultrahigh-performance fiber reinforced concrete is obtained by calculation, and is shown in table 3:
TABLE 3 basic mix ratio (kg/m) of ultra-high performance fiber reinforced concrete containing coarse aggregate3)
(8) Under the condition of basic mixing proportion, different amounts of viscosity modifying materials are added to prepare concrete with different viscosities, six groups are counted, and the mixing ratio of each group is shown in Table 4. The viscosity modifying material adopts metakaolin as a viscosity increasing agent component and a viscosity reducing admixture as a viscosity reducing component.
TABLE 4 concrete mix ratio (kg/m) at different viscosities3)
In order to enable the 28d compressive strength P of the coarse aggregate-containing ultra-high performance fiber reinforced concrete to 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 mixing amount of 2%, the initial fluidity S and the 28d compressive strength P of the concrete are tested, and the test results are shown in the figure 1.
(9) According to 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. Along with the increase of the viscosity of the slurry, the initial fluidity S basically tends to be reduced, and the 28d compressive strength P is increased and then reduced, mainly because the viscosity of the slurry is too small, the steel fibers cannot be well dispersed in the concrete or even have the phenomenon of sedimentation, namely the 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 of the same amount of the copper-plated steel fibers, the viscosity of the slurry is properly improved, so that the copper-plated steel fibers are uniformly distributed, and the fiber reinforcement effect is better; however, when the viscosity of the slurry is increased, the resistance to the dispersion of the copper-plated steel fibers is increased, and the copper-plated steel fibers are difficult to be uniformly distributed, so that the fiber reinforcement effect is reduced. In contrast, the initial fluidity S of group III and IV was 565mm and 570mm, respectively, and the 28d compressive strength P was 134MPa and 131MPa, respectively.
(10) In order to achieve better fiber reinforcement effect and achieve design requirements on mechanical properties, group III is preferably used as the final coarse aggregate-containing ultrahigh-performance fiber-reinforced concrete, that is, the mix proportion of group III is the optimal mix proportion, as shown in table 5:
TABLE 5 optimum mix ratio (kg/m) of coarse aggregate-containing ultra-high performance fiber-reinforced concrete3)
The foregoing are merely exemplary embodiments of the present invention, which enable those skilled in the art to understand or practice the present 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 (10)
1. A design method of ultra-high performance fiber reinforced concrete containing coarse aggregate is characterized by comprising the following steps:
determining the types of raw material solid components such as cement, quartz sand, steel fiber, admixture and coarse aggregate;
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 center combination point experimental design method with two levels of the two factors;
substituting two key factors of each experimental group into a particle tight packing theoretical model equation to obtain multiple groups of initial mix proportions;
preparing concrete according to different initial mixing proportions, and testing performance indexes S and P; respectively establishing polynomial regression equations of S and P and two key factors;
jointly solving the two polynomial regression equations to obtain the optimal values of the two key factors;
substituting the optimized values of the two key factors into a particle tight 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 concrete with different viscosities, and testing the performance indexes S and P of the concrete; and (4) preferably selecting the concrete with S and P meeting the performance requirements according to the test result.
2. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate according to claim 1, wherein: in the solid components, the cement is ordinary portland 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 of the quartz sand is more than or equal to 90 percent; the steel fiber is copper-plated steel fiber with tensile strength more than or equal to 1900 MPa; the admixture comprises silica fume, micro-beads, metakaolin and mineral powder; the coarse aggregate is basalt aggregate.
3. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate according to claim 1, wherein: the theoretical equation of the particle close packing is as follows:
wherein D isiRepresents the particle size of the particles; p (D)i) Represents less than Di(ii) particle accumulation fraction (%); dmaxRepresents the maximum particle size of the particles; dminRepresents the minimum particle size of the particles; q represents the close packing coefficient; i is a natural number.
4. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate 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 of designing ultra-high performance fiber reinforced concrete containing coarse aggregate 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 the coarse aggregate.
6. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate 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 target value of performance, β0、βi、βiiIn turn, an offset term, a linear offset, and a second order offset coefficient, βijCoefficient representing interaction, xi、xjAll represent the level value of each factor, and i, j and k are natural numbers.
7. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate 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 of designing ultra-high performance fiber reinforced concrete containing coarse aggregate according to claim 1, wherein: under the condition of basic mixing proportion, adding different amounts of viscosity modifying materials to prepare concrete with the viscosity range of 30-60 Pa · s.
9. The method of designing ultra-high performance fiber reinforced concrete containing coarse aggregate according to claim 1, wherein: and respectively adding 2% of steel fiber by volume into the concrete with different viscosities, and testing the performance indexes S and P of the concrete.
10. The coarse aggregate-containing ultrahigh-performance fiber reinforced concrete is characterized by comprising the following components in parts by weight: cement 850kg/m310kg/m metakaolin3140kg/m silica fume350kg/m of microbeads3300kg/m of 20-40 mesh quartz sand3475kg/m of quartz sand with 40-70 meshes3560kg/m of coarse aggregate3215kg/m of water315kg/m of water reducing agent3And the volume mixing amount of the steel fiber is 2 percent.
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| 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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