CN101609057B - Method for constituting model for predicting heat conductivity of normal concrete along with development of age - Google Patents

Abstract

The present invention discloses a method for constituting a model for predicting the heat conductivity (lambda) of normal concrete along with the development of age (t). The present invention studies the change rule of the heat conductivity (lambda) of the concrete with different water-cement ratios, admixtures, cement types, sand ratios and aggregate contents along with the development of the age (t), and establishes the model for predicting the heat conductivity (lambda) of the normal concrete along with the development of the age (t) according to the common rule of the heat conductivity (lambda) of the concrete along with the development of the age (t) under the different working conditions. In a formula of the model, lambda (t) is the value of the heat conductivity of the concrete at the age of t and has a measurement unit of kj/(m.h.DEG C); and lambda RE is the value of the heat conductivity of reinforced concrete and has a measurement unit of kj/(m.h.DEG C); and t is the age and is measured by hour. The model can well represent the change rule of the heat conductivity (lambda) of the normal concrete along with the development of the age (t).

Description

The construction method of model for predicting heat conductivity of normal concrete along with development of age

Technical field

The present invention relates to a kind of method of predicting that heat conductivity of normal concrete along with development of age changes, belong to the concrete construction field.

Background technology

In the field of civil engineering, developed the different computation model of many kinds so far with concrete temperature and stress distribution in the prediction sclerosis.Adopt the heat conduction of simple one dimension or complex three-dimensional to calculate model, the function that required crucial thermal behavior parameter-coefficient of heat conductivity is the time in the calculating no matter be.If in carrying out the early stage Temperature Field Simulation calculating of concrete, do not consider the characteristic of coefficient of heat conductivity, will the temperature field of calculating be departed from mutually with actual conditions with development of age.Therefore, only find out coefficient of heat conductivity, propose reliable forecast model and could establish solid foundation for the accurate distribution in the early stage temperature field of prediction concrete with the Changing Pattern in the length of time.

Concrete hydration process is an interactional cross-linked effect between active cement particle and other mixture composition, and the continuous development of its inner structure mainly is because the result who reacts under given conditions between solid phase, liquid phase and the gas phase.In the whole hydration process, inside concrete has been full of physics and chemical reaction.Therefore, concrete is developed to the process of complete solid state from initial semi-liquid stage, and its coefficient of heat conductivity will change with the growth in the length of time.Can adopt the test unit that to measure the early stage coefficient of heat conductivity of concrete, its coefficient of heat conductivity be measured to the process of sclerosis fully from building to finish, and drawn out regular curve with development of age.

Summary of the invention

Model for predicting heat conductivity of normal concrete along with development of age, the present invention studies with the Changing Pattern of development of age the concrete coefficient of heat conductivity of Different Water-Cement Ratio, admixture, cement type, sand coarse aggregate ratio and aggregate content, according to concrete coefficient of heat conductivity under above-mentioned each operating mode with the general character rule of development of age, set up the forecast model of heat conductivity of normal concrete along with development of age, for the simulation analysis in the early stage temperature field of concrete provides reliable parameter.

The construction method of model of the present invention, step is carried out according to following process:

1) to the concrete of Different Water-Cement Ratio, admixture, cement type, sand coarse aggregate ratio and aggregate content, to complete hardening process, measured a coefficient of heat conductivity from building to finish, and draw out the regular curve of each test specimen coefficient of heat conductivity with development of age every 1.5 hours.

2), draw the general character rule of concrete coefficient of heat conductivity with development of age according to the test findings under the above-mentioned working condition.Promptly finished to the length of time about 8～12 hours from building, the concrete coefficient of heat conductivity constantly reduces, and presents the trend of quick growth after reaching minimum value, and continues to about 20～30 hours of the length of time always, begins subsequently to enter the stabilization sub stage.

3) according to the general character rule of concrete coefficient of heat conductivity, adopt following Gaussian function to represent with development of age:

$y_{\left(t\right)}=y_{\mathrm{RE}}[y_0+A\·e^{-0.5{[(t-t_c)/w]}^2}]---\left(1\right)$

In the formula: y _(t)---be t concrete thermal conductivity value constantly the length of time, kJ/ (mh ℃); y _RE---the thermal conductivity value of maturing, kJ/ (m.h ℃); T---the length of time, hour; t _c---the length of time when reaching minimum value, hour; A, y ₀, w---undetermined parameter.

4) set up the concrete coefficient of heat conductivity with the development of age forecast model.With the average case of each test specimen coefficient of heat conductivity amplitude of variation as foundation, it is approximately littler by 10% than stationary value to draw the coefficient of heat conductivity minimum value, being the length of time to reach the average case of minimum value time as coefficient of heat conductivity in 10 hours, being the length of time to reach the average case of stationary value time in 24 hours as coefficient of heat conductivity.According to above-mentioned analysis, the substitution Gaussian function calculates y ₀, t _c, w, four parameters of A value be respectively 0.999,10,4.615 and-0.100, the forecast model that obtains heat conductivity of normal concrete along with development of age is:

${\mathrm{\λ}}_{\left(t\right)}={\mathrm{\λ}}_{\mathrm{RE}}[0.999-0.1\·e^{-0.5{[(t-10)/4.615]}^2}]---\left(2\right)$

In the formula: λ _(t)---be t concrete thermal conductivity value constantly the length of time, kJ/ (mh ℃); λ _RE---the thermal conductivity value of maturing, kJ/ (mh ℃); T---the length of time, hour.

Compared with prior art, the invention has the beneficial effects as follows:

The present invention is by to the concrete coefficient of heat conductivity of Different Water-Cement Ratio, admixture, cement type, sand coarse aggregate ratio and the aggregate content variation test figure with the length of time, adopt Gaussian function to indicate the rule and the modeling of its variation, the predicted value that the experiment value and the heat conductivity of normal concrete forecast model of concrete coefficient of heat conductivity in each obtained in the length of time compares, the test figure predicted value that model obtains of having coincide preferably, by this model, can learn any concrete coefficient of heat conductivity of any time very easily, and not need by a cover proving installation real-time testing.

Description of drawings

Fig. 1 is the law curve figure of concrete coefficient of heat conductivity of the present invention with development of age.

Fig. 2 is the comparison synoptic diagram of measured data and model prediction curve of the present invention.

Embodiment

Below in conjunction with instructions invention is further specified, but protection domain of the presently claimed invention is not limited to the scope that embodiment describes.

1, profile test

1.1 test starting material

Cement conch board P.O42.5 Portland cement;

Sand river sand, modulus of fineness is 2.3, grain composition is good;

Stone 5～20mm rubble, continuous grading.

1.2 testing program

Sample dimensions is 150mm * 150mm * 300mm, and the concrete mix of employing sees Table 1.Build and rapidly test specimen is moved into that standard curing is indoor carries out maintenance after finishing, and by measured once concrete thermal conductivity value every 1.5 hours.

Each material usage in table 1 concrete

1.3 test data analyzer

Adopt Origin software to data analysis and drawing.

2, interpretation of result

Water cement ratio is 0.5 concrete coefficient of heat conductivity with the rule of development of age as shown in Figure 1.By Fig. 1, coefficient of heat conductivity had an ever-reduced process before the 10 hours length of time as can be seen, presented the trend of quick increase after reaching minimum value, entered the stable development stage until about 25 hours of the length of time.In the whole hydration process, the amplitude peak that coefficient of heat conductivity reduces is 10.6%, and the mean value after the sclerosis is 7.76kJ/ (mh ℃).

3, model for predicting heat conductivity of normal concrete along with development of age is set up

According to experimental result as can be known, the mean value behind the coefficient of heat conductivity development stability is 7.76kJ/ (mh ℃), and it is as follows to obtain forecast model in the substitution formula (2):

${\mathrm{\λ}}_{\left(t\right)}=7.76\·[0.999-0.1\·e^{-0.5{[(t-10)/4.615]}^2}]$

In the formula: λ _(t)---be t concrete thermal conductivity value constantly the length of time, kJ/ (mh ℃); T---the length of time, hour.

4, the checking of model for predicting heat conductivity of normal concrete along with development of age and evaluation

With water cement ratio be 0.5 concrete under the standard curing condition, verify this model with the coefficient of heat conductivity measured value.Fig. 2 has provided the comparative result of measured data and prediction curve.As can be seen from the figure, has the good goodness of fit between the data of prediction curve and actual measurement, related coefficient has reached 0.9147, illustrates that this tentative prediction model can characterize the early stage coefficient of heat conductivity of concrete preferably with the rule of development in the length of time, and to a certain degree is being suitable in the scope.

Claims (2)

1. the construction method of a model for predicting heat conductivity of normal concrete along with development of age, concrete coefficient of heat conductivity to Different Water-Cement Ratio, admixture, cement type, sand coarse aggregate ratio and aggregate content is studied with the Changing Pattern of development of age, according to concrete coefficient of heat conductivity under above-mentioned each operating mode with the general character rule of development of age, set up the forecast model of heat conductivity of normal concrete along with development of age, it is characterized in that: step is as follows:

1) builds the concrete sample of Different Water-Cement Ratio, admixture, cement type, sand coarse aggregate ratio and aggregate content;

2) will building the concrete sample that finishes, to be positioned over standard curing indoor, and every measuring coefficient of heat conductivity in 1～2 hour till sclerosis fully, draw the regular curve of coefficient of heat conductivity with development of age;

3) according to the test findings under each working condition, the general character rule of heat conductivity of normal concrete along with development of age is proposed, adopt the expression formula of Gaussian function to be:

$y_{\left(t\right)}=y_{\mathrm{RE}}[y_0+A\·e^{-0.5{[(t-t_c)/w]}^2}]$

In the formula: y _(t)---be t concrete thermal conductivity value constantly the length of time, kJ/ (mh ℃); y _RE---the thermal conductivity value of maturing, kJ/ (mh ℃); T---the length of time, hour; t _c---the length of time when reaching minimum value, hour; A, y ₀, w---undetermined parameter;

4) set up the forecast model of heat conductivity of normal concrete along with development of age according to the general character rule, promptly with the average case of each test specimen coefficient of heat conductivity amplitude of variation as foundation, it is approximately littler by 10% than the stationary value after hardening to obtain concrete coefficient of heat conductivity minimum value, being the length of time to reach the average case of minimum value time in 10 hours as coefficient of heat conductivity, being the length of time to reach the average case of stationary value time as coefficient of heat conductivity in 24 hours, and the substitution Gaussian function calculates y ₀, t _c, w, four parameters of A value be respectively 0.999,10,4.615 and-0.100, the forecast model that obtains heat conductivity of normal concrete along with development of age is:

${\mathrm{\λ}}_{\left(t\right)}={\mathrm{\λ}}_{\mathrm{RE}}[0.999-0.1\·e^{-0.5{[(t-10)/4.615]}^2}]$

In the formula: λ _(t)---be t concrete thermal conductivity value constantly the length of time, kJ/ (mh ℃); λ _RE---the thermal conductivity value of maturing, kJ/ (mh ℃); T---the length of time, hour.

2. the construction method of model for predicting heat conductivity of normal concrete along with development of age as claimed in claim 1, it is characterized in that: the test specimen of building is of a size of 150mm * 150mm * 300mm.

Images