A prediction method for creep deformation of high performance concrete based on equivalent water-binder ratio

By calculating the creep development rate and final value of high-performance concrete based on the equivalent water-adhesive ratio, the problem that the impact of compounded mineral blends and thoracic agents on high-performance concrete in the prior art has not been fully considered, and high-accurate creep deformation prediction is achieved.

CN118942571BActive Publication Date: 2025-05-23HARBIN INST OF TECH
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Patent Information

Application Number
CN202410920691.0
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-07-10
Publication Date
2025-05-23
Estimated Expiration
2044-07-10

AI Technical Summary

Technical Problem

The existing technology fails to fully consider the impact of repeated silica fume, fly ash, mineral powder and breast expanders on the creep development rate and final value of high-performance concrete, resulting in inaccurate creep deformation prediction results.

Method used

The creep development rate and final value of high-performance concrete are calculated using a method based on equivalent water-adhesive ratio, and the impact of the 'physical filling effect' and 'chemical coupling reaction' of silica fume, fly ash, ore powder and thoracic expanders on the creep of concrete is taken into account.

Benefits of technology

Through this method, the creep deformation of high-performance concrete can be accurately predicted, the accuracy of the prediction results can be improved, and the design needs of large-span, high-rise and heavy-load building structures can be met.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention discloses a prediction method for creep deformation of high-performance concrete based on equivalent water-binder ratio, relates to the technical field of concrete, and aims to solve the problem that the prior art does not fully consider the influence of composite silica fume, fly ash, mineral powder and expansive agent on the creep development rate and creep final value of high-performance concrete, resulting in inaccurate prediction results. Based on the influence of "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent on the creep development rate and creep final value of concrete, the invention calculates the equivalent water-binder ratio of the creep development rate of high-performance concrete and the equivalent water-binder ratio of the creep final value according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent; further calculates the creep development rate of high-performance concrete and the equivalent strength of the creep final value; and calculates the creep final value of high-performance concrete based on the creep coefficient correction factor of the original concrete, the equivalent strength of the creep final value of high-performance concrete and the creep development rate of high-performance concrete.
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Description

Technical Field

[0001] The invention relates to the technical field of concrete, and in particular to a method for predicting creep deformation of high performance concrete based on an equivalent water-binder ratio. Background Art

[0002] High-performance concrete has the advantages of high fluidity, high strength, high rigidity, and shrinkage compensation, and has been widely used in large-span, high-rise, and heavy-loaded building structures. In order to achieve the above-mentioned high-performance characteristics, high-performance concrete is generally mixed with a variety of mineral admixtures, including silica fume, fly ash, and mineral powder, and high-quality expansion agents are added to compensate for concrete shrinkage and prevent the occurrence of engineering problems such as high-performance concrete degassing.

[0003] The creep deformation of concrete refers to the behavior of the continuous increase of concrete deformation under continuous load. Generally, the creep deformation of concrete is about 1 to 3 times the short-term deformation. For major concrete structural projects characterized by large spans, high-rises, and heavy loads, the accurate prediction of creep deformation is one of the key contents of its design and an inevitable condition for ensuring the service life and structural safety of the project. Otherwise, the difference in the cumulative vertical deformation between different load-bearing components will cause additional internal forces in the horizontal components and affect non-structural components such as glass curtain walls and pipes. Silica fume, fly ash, mineral powder and expansive agents will significantly accelerate the creep development rate of high-performance concrete and significantly change the creep terminal deformation of concrete. For example, silica fume reduces the creep of concrete by 20% to 50%, and fly ash reduces the creep of concrete by 20% to 45%. The creep deformation development of high-performance concrete components that are mixed with multiple mineral admixtures and expansive agents is more complicated. In order to further clarify the creep deformation development of high-performance concrete structural components, it is urgent to propose a prediction method for the creep deformation of high-performance concrete that considers the influence of single and multiple mineral admixtures and expansive agents.

[0004] The existing technologies mainly include: BS EN 1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model and AFREM creep model. The main defects of the existing technologies are:

[0005] (1) The existing technology basically only considers the effect of mineral admixtures and expansive agents on the final value of creep, and has not yet considered their effect on accelerating the creep development rate. Not considering the effect of mineral admixtures and expansive agents on the creep development rate will lead to an overestimation of concrete creep by 45% to 64%.

[0006] (2) The existing technology basically only considers the case of single addition of mineral admixtures or expansive agents, and only considers the case of combined addition of silica fume and fly ash. The influence of the two high-performance concrete material properties of combined mineral admixtures and combined expansive agents on creep has not been considered.

[0007] (3) There is currently no comprehensive, integrated creep model that can simultaneously consider the effects of single and combined additions of silica fume, fly ash, mineral powder and expansive agents on the development rate and final deformation value of high-performance concrete. Summary of the invention

[0008] The technical problems to be solved by the present invention are:

[0009] The existing technology does not fully consider the influence of composite silica fume, fly ash, mineral powder and expansive agent on the creep development rate and creep final value of high performance concrete, resulting in inaccurate prediction results of creep deformation.

[0010] The present invention adopts the following technical solutions to solve the above technical problems:

[0011] The present invention provides a method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio, characterized in that the method comprises the following steps:

[0012] (1) The calculation of creep rate of high performance concrete includes the following steps:

[0013] Based on the "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent to accelerate the creep development rate of concrete, the equivalent water-binder ratio of the creep development rate of high-performance concrete is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent;

[0014] The equivalent strength of the creep development rate of high performance concrete is calculated based on the inverse relationship between the water-binder ratio of concrete and the strength of concrete, and the creep development rate of high performance concrete is further calculated;

[0015] (2) The calculation of the creep final value of high performance concrete includes the following steps:

[0016] Obtain the creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent, and calculate the creep coefficient correction factor of the original concrete;

[0017] Based on the influence of "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent on the final value of concrete creep, the equivalent water-binder ratio of the final value of high-performance concrete creep is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent;

[0018] The equivalent strength of the final value of creep of high performance concrete is calculated based on the inverse relationship between concrete water-binder ratio and concrete strength;

[0019] The creep final value of high performance concrete is calculated based on the creep coefficient correction factor of the original concrete, the equivalent strength of the creep final value of high performance concrete and the creep development rate of high performance concrete.

[0020] Furthermore, the equivalent water-binder ratio of the creep development rate of high performance concrete in step (1) is The calculation method is:

[0021]

[0022] Where, w / b is the actual water-cement ratio of high-performance concrete; w is the mass of water in high-performance concrete, kg; b is the total mass of cementitious materials and expansion agents in high-performance concrete, kg; and are the creep rate equivalent coefficients of silica fume, fly ash, mineral powder and expansion agent in high performance concrete; r SF 、r FA 、r BFS and r EA They are the mass replacement rates of silica fume, fly ash, mineral powder and expansion agent in high performance concrete.

[0023] Furthermore, the equivalent strength of the creep development rate of high performance concrete in step (1) is The calculation method is:

[0024]

[0025] In the formula, f cm is the average compressive strength of high performance concrete cylinder, MPa.

[0026] Furthermore, the calculation method of the creep development rate of high performance concrete in step (1) is:

[0027]

[0028] In the formula, β H is the correction factor considering the influence of concrete strength on creep development trend; RH is the relative humidity of the environment, %; h 0 is the nominal size of the HPC component, mm; is the creep development rate of high performance concrete; t 0 is the loading age of the high performance concrete, d; t is the age of the high performance concrete, d.

[0029] Furthermore, the nominal size h of the high performance concrete component 0 Calculations are performed using the BS EN 1992 creep model, fibMC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model.

[0030] Furthermore, the creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent in step (2) is measured by experiment, or calculated by BS EN 1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model.

[0031] Furthermore, the equivalent water-binder ratio of the final creep value of the high performance concrete in step (2) is The calculation method is:

[0032]

[0033] In the formula, and They are the creep final value equivalent coefficients of silica fume, fly ash, mineral powder and expansive agent in high performance concrete.

[0034] Furthermore, the equivalent strength of the final value of the creep of the high performance concrete in step (2) is The calculation method is:

[0035]

[0036] Furthermore, the calculation method of the creep final value of the high performance concrete in step (2) is:

[0037] First, calculate the creep coefficient of high performance concrete

[0038]

[0039] In the formula, k OPC is the creep coefficient correction factor of the original concrete; and are the influence coefficient of relative humidity and the influence coefficient of concrete loading age; t 0 is the loading age of the high performance concrete, d; t is the age of the high performance concrete, d;

[0040] Then, the creep coefficient of concrete By multiplying it by the elastic deformation generated when the concrete is just subjected to load, the final creep value of high performance concrete is calculated.

[0041] Furthermore, the relative humidity of the environment affects the coefficient and concrete loading age influence coefficient Calculations are performed using BS EN1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model.

[0042] Compared with the prior art, the present invention has the following beneficial effects:

[0043] The present invention first proposes a method for calculating the equivalent water-binder ratio of the creep development rate of high-performance concrete, taking into account the influence of the "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansion agent on the creep development rate and creep terminal value of high-performance concrete. The equivalent strength of the creep development rate of concrete is calculated based on the equivalent water-binder ratio of the creep development rate, and a creep development rate prediction model for high-performance concrete is further proposed; then a method for calculating the equivalent water-binder ratio of the creep terminal value of high-performance concrete is proposed, and the equivalent strength of the creep terminal value of concrete is calculated based on the equivalent water-binder ratio of the creep terminal value, and a creep terminal value prediction model for high-performance concrete is further proposed. Experiments have shown that the prediction results of the method for predicting the creep deformation of high-performance concrete based on the equivalent water-binder ratio of the present invention are consistent with the experimental test results, and the model has high accuracy. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] Figure 1 is a calculation flow chart of a method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio in an embodiment of the present invention;

[0045] Figure 2 This is a comparison chart of the creep deformation prediction results of high-performance concrete mixed with fly ash and expansion agent based on the prediction method of high-performance concrete creep deformation based on equivalent water-binder ratio in an embodiment of the present invention and the experimental measured results;

[0046] Figure 3 A comparison chart of the creep deformation prediction results of high-performance concrete doped with fly ash and an expansive agent and doped with silica fume and an expansive agent by the method for predicting the creep deformation of high-performance concrete based on an equivalent water-binder ratio in an embodiment of the present invention and the actual measured results;

[0047] Figure 4 This is a comparison chart of the creep deformation prediction results of high-performance concrete mixed with fly ash, silica fume and expansive agent based on the prediction method of the creep deformation of high-performance concrete based on the equivalent water-binder ratio in an embodiment of the present invention and the experimental measured results. DETAILED DESCRIPTION

[0048] In order to enable those skilled in the art to better understand the scheme of the present invention, exemplary implementations or embodiments of the present invention will be described below in conjunction with the accompanying drawings. Obviously, the described implementations or embodiments are only implementations or embodiments of a part of the present invention, not all of them. Based on the implementations or embodiments of the present invention, all other implementations or embodiments obtained by ordinary technicians in the field without creative work should fall within the scope of protection of the present invention.

[0049] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, specific embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0050] Specific implementation plan 1: Figure 1 As shown, the present invention provides a method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio, the method comprising the following steps:

[0051] (1) Determine the basic performance parameters of high-performance concrete: mass replacement rate of silica fume, fly ash, mineral powder and expansion agent in high-performance concrete, concrete water-cement ratio, concrete strength, elastic modulus, cement type; component size, loading age, concrete age, applied load; ambient temperature and humidity;

[0052] The calculation of creep rate of high performance concrete includes the following steps:

[0053] Based on the "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent to accelerate the creep development rate of concrete, the equivalent water-binder ratio of the creep development rate of high-performance concrete is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent;

[0054] The equivalent strength of the creep development rate of high performance concrete is calculated based on the inverse relationship between the water-binder ratio of concrete and the concrete strength, and the creep development rate of high performance concrete is further calculated;

[0055] (2) The calculation of the creep final value of high performance concrete includes the following steps:

[0056] Obtain the creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent, and calculate the creep coefficient correction factor of the original concrete;

[0057] Based on the influence of "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent on the final value of concrete creep, the equivalent water-binder ratio of the final value of high-performance concrete creep is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent;

[0058] The equivalent strength of the final value of creep of high performance concrete is calculated based on the inverse relationship between concrete water-binder ratio and concrete strength;

[0059] The creep final value of high performance concrete is calculated based on the creep coefficient correction factor of the original concrete, the equivalent strength of the creep final value of high performance concrete and the creep development rate of high performance concrete.

[0060] Specific implementation scheme 2: Equivalent water-binder ratio of creep development rate of high performance concrete in step (1) The calculation method is:

[0061]

[0062] Through experimental fitting, we get:

[0063]

[0064] Wherein, w / b is the actual water-cement ratio of high-performance concrete; w is the mass of water in high-performance concrete, kg; b is the total mass of cementitious materials (including cement, silica fume, fly ash and mineral powder) and expansion agent in high-performance concrete, kg; and are the creep rate equivalent coefficients of silica fume, fly ash, mineral powder and expansion agent in high performance concrete; r SF 、r FA 、r BFS and r EA are respectively the mass replacement rates of silica fume, fly ash, mineral powder and expansion agent in high performance concrete. The rest of this implementation scheme is the same as the specific implementation scheme one.

[0065] Specific implementation plan 3: Equivalent strength of creep development rate of high performance concrete in step (1) The calculation method of (MPa) is:

[0066]

[0067] In the formula, f cm is the average compressive strength of high performance concrete cylinder, MPa. The rest of this implementation plan is the same as the second implementation plan.

[0068] Specific implementation scheme 4: The calculation method of the creep development rate of high performance concrete in step (1) is:

[0069]

[0070] In the formula, β H is the correction factor considering the influence of concrete strength on creep development trend; RH is the relative humidity of the environment, %; h 0 is the nominal size of the HPC component, mm; is the creep development rate of high performance concrete; t 0 is the loading age of the high performance concrete, d; t is the age of the high performance concrete, d. The rest of this implementation plan is the same as the specific implementation plan three.

[0071] Specific implementation plan 5: Nominal size h of high performance concrete components 0The calculation is performed using the BS EN 1992 creep model, the fibMC2010 creep model, the ACI 209 creep model, the B4 creep model or the AFREM creep model. The rest of this implementation is the same as the specific implementation plan four.

[0072] Specific implementation scheme six: The creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent in step (2) is measured by experiment, or calculated by BS EN 1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model. The rest of this implementation scheme is the same as the specific implementation scheme one.

[0073] Specific implementation plan seven: Equivalent water-binder ratio of the final creep value of high performance concrete in step (2) The calculation method is:

[0074]

[0075] Through experimental fitting, we get:

[0076]

[0077] In the formula, and They are the creep final value equivalent coefficients of silica fume, fly ash, mineral powder and expansion agent in high performance concrete. The rest of this implementation plan is the same as the specific implementation plan 4.

[0078] Specific implementation scheme eight: Equivalent strength of the final value of creep of high performance concrete in step (2) The calculation method is:

[0079]

[0080] The rest of this implementation plan is the same as Specific Implementation Plan Seven.

[0081] Specific implementation scheme nine: In step (2), the calculation method of the creep final value of high performance concrete is:

[0082] First, calculate the creep coefficient of high performance concrete

[0083]

[0084] In the formula, k OPC It is the creep coefficient correction factor of the original concrete, which is taken as 1.0 when there is no clear test result; and are the influence coefficient of relative humidity and the influence coefficient of concrete loading age; t 0is the loading age of the high performance concrete, d; t is the age of the high performance concrete, d;

[0085] Then, the creep coefficient of concrete Multiply it by the elastic deformation generated when the concrete just bears the load, and calculate the final creep value of the high performance concrete. The rest of this implementation plan is the same as the specific implementation plan eight.

[0086] Specific implementation plan 10: Environmental relative humidity influence coefficient and concrete loading age influence coefficient The calculation is performed using the BS EN 1992 creep model, the fib MC2010 creep model, the ACI 209 creep model, the B4 creep model or the AFREM creep model. The rest of this implementation is the same as the ninth implementation.

[0087] Example 1

[0088] According to the four high-performance concrete mix proportions of single fly ash and expansion agent, double fly ash and expansion agent, double silica ash and expansion agent, and triple fly ash, silica ash and expansion agent in Table 1, a high-performance concrete test block with a side length of 100mm×100mm×400mm was made. After curing for 24 hours, the test block was demolded. After demolding, three layers of aluminum foil with glue were used to seal the six surfaces to ensure that the concrete could not exchange moisture with the external environment. The constant temperature and humidity environment was set to a relative humidity of 55% and a temperature of 15°C. The water-cement ratio of the high-performance concrete in this embodiment is constant at 0.26, and the mix proportions are single fly ash and expansion agent, double fly ash and expansion agent, double silica ash and expansion agent, triple fly ash, silica ash and expansion agent, and the cement type is PO52.5 cement. The mass replacement rate of the mineral admixture and expansion agent of the concrete, the average value of the 28-day cylinder compressive strength and the 28-day elastic modulus are shown in Table 1. The loading start age and end age are 28 days and 408 days respectively; the load borne is as shown in Table 1. A handheld DEMEC displacement meter is used to measure the elastic deformation of the original concrete without silica fume, fly ash and expansive agent (i.e., 0FA-0SF-0EA specimen) and the high-performance concrete with silica fume, fly ash or expansive agent when it is just subjected to load.

[0089] Table 1 High performance concrete mix ratio, concrete properties and creep test information

[0090]

[0091] (1) Determine the basic performance parameters of high-performance concrete: the mass replacement rate of silica fume, fly ash, mineral powder and expansion agent, 28-day cylinder strength, 28-day elastic modulus, loading age, and applied load of high-performance concrete are taken according to Table 1. The water-cement ratio of concrete is 0.26, and the type of cement is PO52.5 cement; the component size is 100 mm×100 mm×400 mm; the temperature and humidity of the environment are 15°C and 55% relative humidity respectively;

[0092] (2) The equivalent water-binder ratio for calculating the creep rate of high performance concrete is:

[0093]

[0094] (3) The equivalent strength of the creep development rate of high performance concrete is calculated as:

[0095]

[0096] is the equivalent strength of the creep development rate of high performance concrete, MPa;

[0097] (4) Calculate the creep rate of high performance concrete, taking the nominal size of the closed high performance concrete component as infinite:

[0098]

[0099] β H Substitute into the formula Calculate the creep rate of high performance concrete;

[0100] (5) Calculation of the equivalent water-binder ratio of the final creep value of high performance concrete:

[0101]

[0102] (6) The equivalent strength of the final creep value of high performance concrete is calculated as:

[0103]

[0104] is the equivalent strength of the basic creep final value of high performance concrete, MPa;

[0105] (7) Calculate the final creep value of high performance concrete. Take the nominal size of the closed high performance concrete component as infinite. First, calculate the creep coefficient of high performance concrete.

[0106]

[0107] Creep coefficient correction factor k of original concrete OPCis the creep coefficient determined experimentally Substituting into the above formula In the figure, based on the least squares fitting, the fitting results show that k OPC Take it as 0.495; and They are the influence coefficient of environmental relative humidity and the influence coefficient of concrete loading age, which are calculated based on the BSEN 1992 creep model.

[0108] The creep final value of high performance concrete is equal to the creep coefficient of concrete Multiply by the elastic deformation of the concrete when it is first loaded.

[0109] The prediction results of the creep deformation of high-performance concrete with only fly ash and expansive agent calculated by this prediction method are compared with the experimental measured results. Figure 2 As shown in the figure, the predicted results of creep deformation of high performance concrete with double fly ash and expansive agent and double silica fume and expansive agent calculated by this prediction method are compared with the experimental measured results. Figure 3 As shown in the figure, the prediction results of the creep deformation of high performance concrete mixed with fly ash, silica fume and expansive agent calculated by this prediction method are compared with the experimental measured results. Figure 4 As shown, the results show that the prediction method of the high performance concrete creep deformation based on the equivalent water-binder ratio of the present invention is relatively accurate.

[0110] The present invention is based on the principle that:

[0111] (1) A high-performance concrete creep prediction method was established based on the creep mechanism. The creep of concrete is caused by the extrusion of water between the CSH gel layers, a hydration product of concrete, into the capillaries and macropores, as well as the relative slip or shear between the CSH gels. The self-drying effect of concrete will lead to a decrease in the water content in the concrete capillaries and an increase in the pore volume, that is, a decrease in relative humidity. The increase in pores will intensify the extrusion of water between the CSH gel layers into the capillaries and macropores, thereby intensifying the generation of creep deformation. The physical filling effect of silica fume, fly ash, mineral powder and expansion agent increases the content of capillary pores inside concrete, making the concrete interface transition zone denser, thereby hindering the relative slip or shear between CSH gels and reducing concrete creep; the chemical coupling reaction of silica fume, fly ash, mineral powder and expansion agent consumes less water than cement hydration reaction, and the pore volume is reduced, thereby inhibiting the extrusion of water between CSH gel layers into capillaries and macropores, thereby reducing creep deformation; the chemical coupling reaction consumes water faster than cement hydration reaction, accelerates the rate of water extrusion between CSH gel layers, and thereby accelerates the rate of creep deformation development. The present invention comprehensively considers the influence of single and multiple additions of silica fume, fly ash, mineral powder and expansion agent on the development rate and deformation final value of high-performance concrete, and considers the influence of fly ash and mineral powder, and provides a comprehensive and integrated high-performance concrete creep deformation prediction model.

[0112] (2) Based on the equivalent water-binder ratio, the influence of the "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent on the creep of high-performance concrete is considered. The equivalent water-binder ratio can reflect the difference in hydration products caused by the replacement of cement by mineral admixtures and expansive agents. This difference is the essence of the "physical filling effect" and "chemical coupling reaction" affecting the creep of high-performance concrete.

[0113] (3) Based on the equivalent water-binder ratio, the effects of silica fume, fly ash, mineral powder and expansive agent on the creep development rate and creep final value of high performance concrete are considered at the same time.

[0114] Although the present invention is disclosed as above, the protection scope of the present invention is not limited thereto. Those skilled in the art may make various changes and modifications without departing from the spirit and scope of the present invention, and these changes and modifications will fall within the protection scope of the present invention.

Claims

1. A method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio, characterized in that: The method comprises the following steps: (1) The calculation of creep rate of high performance concrete includes the following steps: Based on the "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent to accelerate the creep development rate of concrete, the equivalent water-binder ratio of the creep development rate of high-performance concrete is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent. The equivalent strength of the creep development rate of high performance concrete is calculated based on the inverse relationship between the water-binder ratio of concrete and the concrete strength, and the creep development rate of high performance concrete is further calculated; (2) The calculation of the creep final value of high performance concrete includes the following steps: Obtain the creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent, and calculate the creep coefficient correction factor of the original concrete; Based on the influence of "physical filling effect" and "chemical coupling reaction" of silica fume, fly ash, mineral powder and expansive agent on the final value of concrete creep, the equivalent water-binder ratio of the final value of high-performance concrete creep is calculated according to the mass replacement rate of silica fume, fly ash, mineral powder and expansive agent. The equivalent strength of the final value of creep of high performance concrete is calculated based on the inverse relationship between concrete water-binder ratio and concrete strength; The creep final value of high performance concrete is calculated based on the creep coefficient correction factor of the original concrete, the equivalent strength of the creep final value of high performance concrete and the creep development rate of high performance concrete. The calculation method of the creep development rate of high performance concrete in step (1) is: In the formula, β H is the correction factor considering the influence of concrete strength on creep development trend; RH is the relative humidity of the environment, %; h0 is the nominal size of the high performance concrete component, mm; is the creep development rate of high performance concrete; t0 is the loading age of high performance concrete, d; t is the age of high performance concrete, d; The calculation method of the creep final value of high performance concrete in step (2) is: First, calculate the creep coefficient of high performance concrete In the formula, k OPC is the creep coefficient correction factor of the original concrete; and are the influence coefficient of environmental relative humidity and the influence coefficient of concrete loading age, respectively; t0 is the loading age of high performance concrete, d; t is the age of high performance concrete, d; Then, the creep coefficient of concrete Multiplying it by the elastic deformation generated when the concrete is just subjected to load, the final creep value of high performance concrete is calculated.

2. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 1 is characterized in that: Equivalent water-binder ratio of high performance concrete creep rate in step (1) The calculation method is: Where, w / b is the actual water-cement ratio of high-performance concrete; w is the mass of water in high-performance concrete, kg; b is the total mass of cementitious materials and expansion agents in high-performance concrete, kg; and are the creep rate equivalent coefficients of silica fume, fly ash, mineral powder and expansion agent in high performance concrete; r SF 、r FA 、r BFS and r EA They are the mass replacement rates of silica fume, fly ash, mineral powder and expansion agent in high performance concrete.

3. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 2 is characterized in that: Equivalent strength of the creep rate of high performance concrete in step (1) The calculation method is: In the formula, f cm is the average compressive strength of high performance concrete cylinder, MPa.

4. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 3 is characterized in that: The calculation method of the creep development rate of high performance concrete in step (1) is: In the formula, β H is the correction factor considering the influence of concrete strength on creep development trend; RH is the relative humidity of the environment, %; h0 is the nominal size of the high performance concrete component, mm; is the creep development rate of high performance concrete; t0 is the loading age of high performance concrete, d; t is the age of high performance concrete, d.

5. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 4 is characterized in that: The nominal dimension h0 of high performance concrete components is calculated using the BS EN 1992 creep model, the fib MC2010 creep model, the ACI 209 creep model, the B4 creep model or the AFREM creep model.

6. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 1, characterized in that: The creep deformation of the original concrete without silica fume, fly ash, mineral powder and expansion agent in step (2) is measured by experiment, or calculated by BS EN 1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model.

7. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 4, characterized in that: Equivalent water-binder ratio of the final creep value of high performance concrete in step (2) The calculation method is: In the formula, and They are the creep final value equivalent coefficients of silica fume, fly ash, mineral powder and expansive agent in high performance concrete.

8. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 7 is characterized in that: Equivalent strength of the final value of creep of high performance concrete in step (2) The calculation method is:

9. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 8, characterized in that: The calculation method of the creep final value of high performance concrete in step (2) is: First, calculate the creep coefficient of high performance concrete In the formula, k OPC is the creep coefficient correction factor of the original concrete; and are the influence coefficient of environmental relative humidity and the influence coefficient of concrete loading age, respectively; t0 is the loading age of high performance concrete, d; t is the age of high performance concrete, d; Then, the creep coefficient of concrete Multiplying it by the elastic deformation generated when the concrete is just subjected to load, the final creep value of high performance concrete is calculated.

10. The method for predicting creep deformation of high performance concrete based on equivalent water-binder ratio according to claim 9, characterized in that: Environmental relative humidity influence coefficient and concrete loading age influence coefficient Calculations are performed using the BS EN 1992 creep model, fib MC2010 creep model, ACI 209 creep model, B4 creep model or AFREM creep model.

Citation Information

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