CN116644599A - Crack prediction method based on elastic modulus of concrete under capillary pore stress effect - Google Patents
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Abstract
The application provides a crack prediction method based on elastic modulus of concrete under action of capillary stress, which comprises the steps of obtaining first capillary stress of the concrete at a first moment and second capillary stress of the concrete at a second moment according to an established concrete shrinkage model, obtaining first shrinkage strain of the concrete at the first moment according to the first capillary stress, obtaining second shrinkage strain of the concrete at the second moment according to the second capillary stress, and obtaining average elastic modulus of the concrete from the first moment to the second moment according to the first shrinkage strain and the second shrinkage strain, wherein the average elastic modulus is obtained by adopting the following formula: e (E) t (Δt)＝(σ c (t 2 )‑σ c (t 1 ))/(ε f (t 2 )‑ε f (t 1 ))，Δt＝t 2 ‑t 1 Based on the mode, the application provides a calculation and cracking prediction method of the elastic modulus of the concrete relative to capillary stress based on the capillary tension theory, so that the aim of cracking prediction of the concrete under different constraint conditions can be achieved.
Description
Technical Field
The application relates to the technical field of concrete, in particular to a crack prediction method based on the elastic modulus of concrete under the action of capillary pore stress.
Background
At present, concrete structures or components have been widely used in modern production and life, wherein calculation of constraint tensile stress of concrete is an important means for predicting early cracking of concrete.
In the prior art, the static compression elastic modulus of concrete is used to calculate the constraint tensile stress of concrete, for example, in the method disclosed in the national "concrete physical and mechanical property test method standard", the slope of the measured stress-strain curve is generally used as the static compression elastic modulus of concrete, however, because the load loading process is rapid in the method, the constraint tensile stress of concrete can be calculated by the static compression elastic modulus of concrete obtained by testing the method, which may result in inaccuracy, and further, the early cracking prediction of concrete is not accurate enough, so that the concrete is in high cracking risk.
Disclosure of Invention
The embodiment of the application provides a crack prediction method based on the elastic modulus of concrete under the action of capillary pore stress, which is used for solving the problem that early crack prediction of concrete is not accurate enough in the prior art.
In a first aspect, an embodiment of the present application provides a method for predicting cracking of a concrete elastic modulus under capillary stress, including:
according to the established concrete shrinkage model, acquiring first capillary stress of the concrete at a first moment and second capillary stress of the concrete at a second moment;
acquiring a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress, and acquiring a second shrinkage strain of the concrete at the second moment according to the second capillary hole stress;
according to the first shrinkage strain and the second shrinkage strain, obtaining the average elastic modulus of the concrete from the first moment to the second moment; wherein the average elastic modulus is obtained using the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 ，σ c (t 1 ) For the first capillary stress, sigma c (t 2 ) Epsilon for the second capillary stress f (t 1 ) Epsilon for said first shrinkage strain f (t 2 ) Is the second shrinkage strain;
and predicting whether the concrete is cracked according to the average elastic modulus.
In an alternative implementation, the first capillary stress of the concrete at the first moment is obtained using the following formula:
wherein gamma is the surface of the inner wall of the capillarySurface tension at 20℃equals 7.28X10 -2 N/m; θ is the contact angle indicating the liquid-solid interface (0 for concrete); r is the most probable pore size of the concrete at the first moment t 1.
In an alternative implementation manner, the concrete shrinkage model is an unconstrained concrete free shrinkage model, and the obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress includes:
at the first moment, obtaining free shrinkage displacement of the concrete under the action of the stress of the first capillary holes;
and obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and the free shrinkage displacement.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus includes:
establishing a constraint shrinkage model according to constraint parameters, and acquiring a third shrinkage strain of the concrete at the first moment and a fourth shrinkage strain of the concrete at the second moment according to the constraint shrinkage model;
obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain;
and predicting whether the concrete cracks according to the average elastic modulus and the constraint tensile strain range.
In an alternative implementation, the shrinkage-restraining model is a concrete shrinkage-restraining model restrained by a steel plate, the steel plate has a length of 1000mm and a thickness of 20 or 40 or 60mm, and the steel plate has a length identical to that of the concrete.
In an alternative implementation, the obtaining the third shrinkage strain of the concrete at the first moment includes:
at the first moment, obtaining the constraint shrinkage displacement of the concrete and the steel plate respectively; wherein the constraining shrinkage displacement is in the direction of extension of the length of the concrete;
and obtaining a third shrinkage strain of the concrete at the first moment according to the constraint shrinkage displacement.
In an optional implementation manner, the obtaining, according to the third shrinkage strain and the fourth shrinkage strain, a constraint tensile strain range corresponding to the concrete from the first moment to the second moment includes:
respectively obtaining constraint tensile strain values corresponding to the concrete at the first moment and the second moment according to the third shrinkage strain and the fourth shrinkage strain; wherein the constraint pull strain value is obtained by: epsilon t ＝ε f -ε r ，ε r For the shrinkage strain, ε, obtained by the concrete according to the constrained shrinkage model f Shrinkage strain obtained for the concrete according to the concrete free shrinkage model;
and obtaining the constraint tensile strain range of the concrete corresponding to the first moment to the second moment according to the obtained constraint tensile strain values.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus includes:
acquiring a concrete tensile strength curve of the concrete from the first moment to the second moment, and acquiring a constraint stress curve of the concrete from the first moment to the second moment according to the average elastic modulus and the constraint tensile strain range;
if the constraint stress curve and the concrete tensile strength curve have an intersection point, predicting that the concrete is cracked, and predicting the cracking time of the concrete according to the intersection point.
In a second aspect, an embodiment of the present application provides a crack prediction apparatus based on elastic modulus of concrete under capillary stress, including:
the capillary hole stress acquisition module is used for acquiring first capillary hole stress of the concrete at a first moment and second capillary hole stress of the concrete at a second moment according to the established concrete shrinkage model;
the shrinkage strain acquisition module is used for acquiring a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and acquiring a second shrinkage strain of the concrete at the second moment according to the second capillary hole stress;
the elastic modulus acquisition module is used for acquiring the average elastic modulus of the concrete from the first moment to the second moment according to the first shrinkage strain and the second shrinkage strain; wherein the average elastic modulus is obtained using the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 ，σ c (t 1 ) For the first capillary stress, sigma c (t 2 ) Epsilon for the second capillary stress f (t 1 ) Epsilon for said first shrinkage strain f (t 2 ) Is the second shrinkage strain;
and the prediction module is used for predicting whether the concrete is cracked according to the average elastic modulus.
In an alternative implementation manner, the first capillary pore stress of the concrete at the first moment is obtained by the capillary pore stress obtaining module specifically using the following formula:
wherein gamma is the surface tension of the inner walls of the capillary pores, which is equal to 7.28X10 at 20 DEG C -2 N/m; θ is the contact angle indicating the liquid-solid interface (0 for concrete); r is the most probable pore size of the concrete at the first moment t 1.
In an optional implementation manner, the concrete shrinkage model is an unconstrained concrete free shrinkage model, and the shrinkage strain obtaining module is configured to obtain a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress:
at the first moment, obtaining free shrinkage displacement of the concrete under the action of the stress of the first capillary holes;
and obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and the free shrinkage displacement.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus, and the predicting module is configured to:
establishing a constraint shrinkage model according to constraint parameters, and acquiring a third shrinkage strain of the concrete at the first moment and a fourth shrinkage strain of the concrete at the second moment according to the constraint shrinkage model;
obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain;
and predicting whether the concrete cracks according to the average elastic modulus and the constraint tensile strain range.
In an alternative implementation, the shrinkage-restraining model is a concrete shrinkage-restraining model restrained by a steel plate, the steel plate has a length of 1000mm and a thickness of 20 or 40 or 60mm, and the steel plate has a length identical to that of the concrete.
In an alternative implementation, the obtaining the third shrinkage strain of the concrete at the first moment, the predicting module is configured to:
at the first moment, obtaining the constraint shrinkage displacement of the concrete and the steel plate respectively; wherein the constraining shrinkage displacement is in the direction of extension of the length of the concrete;
and obtaining a third shrinkage strain of the concrete at the first moment according to the constraint shrinkage displacement.
In an optional implementation manner, the obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain, and the prediction module is configured to:
respectively obtaining constraint tensile strain values corresponding to the concrete at the first moment and the second moment according to the third shrinkage strain and the fourth shrinkage strain; wherein the constraint pull strain value is obtained by: epsilon t ＝ε f -ε r ，ε r For the shrinkage strain, ε, obtained by the concrete according to the constrained shrinkage model f Shrinkage strain obtained for the concrete according to the concrete free shrinkage model;
and obtaining the constraint tensile strain range of the concrete corresponding to the first moment to the second moment according to the obtained constraint tensile strain values.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus, and the predicting module is configured to:
acquiring a concrete tensile strength curve of the concrete from the first moment to the second moment, and acquiring a constraint stress curve of the concrete from the first moment to the second moment according to the average elastic modulus and the constraint tensile strain range;
if the constraint stress curve and the concrete tensile strength curve have an intersection point, predicting that the concrete is cracked, and predicting the cracking time of the concrete according to the intersection point.
In a third aspect, an electronic device is provided, which includes a processor and a memory, wherein the memory stores program code that, when executed by the processor, causes the processor to perform the steps of the method for predicting cracking based on elastic modulus of concrete under capillary stress described in the first aspect.
The technical effects of the embodiment of the application are as follows:
the embodiment of the application provides a capillary-based pore responseThe method for predicting the cracking of the elastic modulus of the concrete under the action of force comprises the steps of obtaining first capillary hole stress of the concrete at a first moment and second capillary hole stress of the concrete at a second moment according to an established concrete shrinkage model, obtaining first shrinkage strain of the concrete at the first moment according to the first capillary hole stress, obtaining second shrinkage strain of the concrete at the second moment according to the second capillary hole stress, and obtaining average elastic modulus of the concrete from the first moment to the second moment according to the first shrinkage strain and the second shrinkage strain, wherein the average elastic modulus is obtained by adopting the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 According to the mode, the calculation of the elastic modulus of the concrete relative to capillary stress and the crack prediction method are provided, so that the aim of crack prediction of the concrete under different constraint conditions can be achieved by testing the shrinkage strain of the concrete under different strength grades, different ages and different constraint conditions, the problem that the measured static compression elastic modulus is inaccurate due to rapid load loading process in the prior art is solved, and the accuracy of crack prediction based on the average elastic modulus is further ensured.
Drawings
FIG. 1 is a flow chart of a method for predicting cracking of concrete elastic modulus under the action of capillary stress, which is provided by the embodiment of the application;
FIG. 2 is a schematic diagram of average elastic modulus according to an embodiment of the present application;
FIG. 3 is a schematic diagram of a device for predicting cracking of concrete elastic modulus under action of capillary stress, which is provided by the embodiment of the application;
fig. 4 is a schematic diagram of an electronic device according to an embodiment of the present application.
Detailed Description
The following description of the embodiments of the present application will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present application, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
In the description of the present application, "a plurality of" means "at least two". "and/or", describes an association relationship of an association object, and indicates that there may be three relationships, for example, a and/or B, and may indicate: a exists alone, A and B exist together, and B exists alone. A is connected with B, and can be represented as follows: both cases of direct connection of A and B and connection of A and B through C. In addition, in the description of the present application, the words "first," "second," and the like are used merely for distinguishing between the descriptions and not be construed as indicating or implying a relative importance or order.
Referring to fig. 1, an embodiment of the present application provides a method for predicting a crack of an elastic modulus of concrete under a capillary stress effect, including:
s101: and acquiring the first capillary stress of the concrete at a first moment and the second capillary stress of the concrete at a second moment according to the established concrete shrinkage model.
S102: according to the first capillary stress, the first shrinkage strain of the concrete at the first moment is obtained, and according to the second capillary stress, the second shrinkage strain of the concrete at the second moment is obtained.
S103: and obtaining the average elastic modulus of the concrete in the first time to the second time according to the first shrinkage strain and the second shrinkage strain.
S104: and predicting whether the concrete is cracked according to the average elastic modulus.
Specifically, the second time is larger than the first time, for example, the second day when the concrete placement is completed is taken as the first time, and the third, fourth, fifth or seventh day, fourteenth, twenty-eighth day, etc. when the concrete placement is completed are taken as the second time.
In an alternative implementation, the first capillary stress of the concrete at the first moment is obtained using the following formula:
wherein gamma is the surface tension of the inner walls of the capillary pores, which is equal to 7.28X10 at 20 DEG C -2 N/m; θ is the contact angle indicating the liquid-solid interface (0 for concrete); r is the most probable pore size of the concrete at the first moment t 1.
Similarly, the second capillary stress of the concrete at the second moment is obtained according to the above formula, and optionally, the required parameters in the above formula can be measured by a mercury porosimeter, which is not limited thereto.
Alternatively, the concrete shrinkage model is an unconstrained concrete free shrinkage model.
In this case, obtaining a first shrinkage strain of the concrete at a first moment in time from the first capillary stress, comprising:
at a first moment, the free shrinkage displacement of the concrete under the action of the stress of the first capillary holes is obtained.
And obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and the free shrinkage displacement.
Illustratively, in an embodiment of the present application, the dimensions of the concrete are 200mm by 1000mm. Wherein, in order to observe concrete fracture conveniently, the concrete adopts dry maintenance mode. Further, according to the concrete, an unconstrained concrete free shrinkage model is made of organic glass materials, for facilitating form removal, screws and angle steel are used for fixing the periphery of an organic glass mold, a wooden support is clamped on the upper side of the mold, expansion of the mold is prevented, after the concrete is initially set, the bottom of a test piece is covered by a Teflon plate after the organic glass mold is removed and 1mm is used for ensuring free movement of the periphery of the test piece.
The free shrinkage displacement of the concrete under the first capillary stress is determined experimentally, e.g. by installing Linear Variable Differential Transformers (LVDTs) in the centre of the two ends of the concrete, at a first instant t 1.
Optionally, to ensure the accuracy of the LVDT, two nuts are placed in advance in the centre of the two end regions of the concrete. After the concrete is initially set, the organic glass mould is removed, and two plastic bolts are screwed into the two nuts. The test rod of the LVDT is then in direct contact with the bolt. All unconstrained concrete shrinkage was tested using computer automated measurement recording, and shrinkage of test pieces with built-in steel plates of 20mm, 40mm and 60mm thickness, respectively. The effect of temperature on concrete can be measured by pre-testing embedded temperature and humidity sensors in each sample, and placing all test pieces in an environment with the temperature of 20+/-1 ℃ and the relative humidity of 60+/-5%.
Similarly, the embodiment of the application can determine the second shrinkage strain of the concrete at the second moment through experiments. The average modulus of elasticity is thus obtained using the following formula:
E t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1
wherein sigma c (t 1 ) For the first capillary stress, sigma c (t 2 ) For the second capillary stress ε f (t 1 ) For a first shrinkage strain ε f (t 2 ) Is the second shrink strain.
I.e., as shown in FIG. 2, in an embodiment of the application, the measured sigma can be used as a basis c (t 2 )、σ c (t 1 )、ε f (t 2 ) And epsilon f (t 1 ) The average elastic modulus of the concrete from the first moment to the second moment is calculated, whereby this average elastic modulus is referred to as the elastic modulus of the concrete with respect to capillary stress.
Optionally, predicting whether the concrete is cracked according to the average elastic modulus includes:
and establishing a constraint shrinkage model according to the constraint parameters, and acquiring a third shrinkage strain of the concrete at the first moment and a fourth shrinkage strain of the concrete at the second moment according to the constraint shrinkage model.
And obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain.
And predicting whether the concrete is cracked according to the average elastic modulus and the constraint tensile strain range.
In particular, the constraint parameter may be a steel bar, a steel plate, a peg, etc. Alternatively, the shrinkage-restraining model is a concrete shrinkage-restraining model restrained by a steel plate, the steel plate has a length of 1000mm and a thickness of 20 or 40 or 60mm, and the steel plate has a length identical to that of the concrete.
Alternatively, the steel plate is Q235B steel.
Alternatively, the following formula is used to obtain the constraint tensile strain of the concrete:
ε t ＝ε f -ε r
wherein ε r Is the shrinkage strain of the constrained concrete; epsilon f Is the shrinkage strain of unconstrained concrete.
In this way, according to the average elastic modulus and the constraint tensile strain range, whether the concrete cracks or not is predicted from the first moment to the second moment.
Optionally, obtaining a third shrinkage strain of the concrete at the first moment includes:
at the first moment, obtaining the constraint shrinkage displacement of the concrete and the steel plate respectively; wherein the constraining shrinkage displacement is in the direction of extension of the length of the concrete;
and obtaining a third shrinkage strain of the concrete at the first moment according to the constraint shrinkage displacement.
Specifically, the constrained shrinkage displacement of the concrete at the first moment and the constrained shrinkage displacement of the steel plate at the first moment are measured through the above test, and then the following formula is adopted: -delta sh +δ ce ＝-δ，δ ae = -delta, obtaining concrete inA third contraction strain at the first time, wherein delta ce 、δ ae The shrinkage displacement is restrained by concrete and steel plates respectively.
Optionally, obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain includes:
respectively obtaining constraint tensile strain values corresponding to the concrete at the first moment and the second moment according to the third shrinkage strain and the fourth shrinkage strain;
wherein the constraint pull strain value is obtained by: epsilon t ＝ε f -ε r ，ε r For concrete shrinkage strain, ε, obtained according to a constrained shrinkage model f The shrinkage strain is obtained for the concrete according to the concrete free shrinkage model.
And obtaining the constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the obtained constraint tensile strain values.
That is, in the above case, the corresponding constraint tensile strain value is obtained according to the third shrinkage strain of the constrained concrete at the first time, and the corresponding constraint tensile strain value is obtained according to the fourth shrinkage strain of the constrained concrete at the second time, so that the two constraint tensile strain values are taken as two end points of the corresponding range, and the constraint tensile strain range corresponding to the concrete from the first time to the second time is obtained.
Optionally, predicting whether the concrete is cracked according to the average elastic modulus includes:
and obtaining a concrete tensile strength curve of the concrete from the first moment to the second moment, and obtaining a constraint stress curve of the concrete from the first moment to the second moment according to the average elastic modulus and the constraint tensile strain range.
If the constraint stress curve and the tensile strength curve of the concrete have the intersection points, the concrete is predicted to crack, and the cracking time of the concrete is predicted according to the intersection points.
Specifically, when the constraint stress corresponding to a certain moment on the constraint stress curve is larger than the tensile strength of the concrete corresponding to the moment, the moment is regarded as the cracking moment of the concrete, so that the aim of predicting cracking is finally achieved.
Furthermore, based on the same technical conception, the application also provides a crack prediction device based on the elastic modulus of the concrete under the action of capillary pore stress, which is used for realizing the method flow of the embodiment of the application. Referring to fig. 3, the apparatus includes: capillary pore stress acquisition module 301, shrinkage strain acquisition module 302, modulus of elasticity acquisition module 303, and prediction module 304, wherein:
the capillary hole stress acquisition module 301 is configured to acquire a first capillary hole stress of the concrete at a first moment and a second capillary hole stress of the concrete at a second moment according to the established concrete shrinkage model;
a shrinkage strain acquisition module 302, configured to acquire a first shrinkage strain of the concrete at the first moment according to the first capillary stress, and acquire a second shrinkage strain of the concrete at the second moment according to the second capillary stress;
an elastic modulus obtaining module 303, configured to obtain an average elastic modulus of the concrete in the first time to the second time according to the first shrinkage strain and the second shrinkage strain; wherein the average elastic modulus is obtained using the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 ，σ c (t 1 ) For the first capillary stress, sigma c (t 2 ) Epsilon for the second capillary stress f (t 1 ) Epsilon for said first shrinkage strain f (t 2 ) Is the second shrinkage strain;
and the prediction module 304 is used for predicting whether the concrete is cracked according to the average elastic modulus.
In an alternative implementation manner, the first capillary stress of the concrete at the first moment, and the capillary stress obtaining module 301 is specifically obtained by using the following formula:
wherein gamma is the surface tension of the inner walls of the capillary pores, which is equal to 7.28X10 at 20 DEG C -2 N/m; θ is the contact angle indicating the liquid-solid interface (0 for concrete); r is the most probable pore size of the concrete at the first moment t 1.
In an alternative implementation manner, the concrete shrinkage model is an unconstrained concrete free shrinkage model, and the shrinkage strain obtaining module 302 is configured to obtain a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress:
at the first moment, obtaining free shrinkage displacement of the concrete under the action of the stress of the first capillary holes;
and obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and the free shrinkage displacement.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus, and the predicting module 304 is configured to:
establishing a constraint shrinkage model according to constraint parameters, and acquiring a third shrinkage strain of the concrete at the first moment and a fourth shrinkage strain of the concrete at the second moment according to the constraint shrinkage model;
obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain;
and predicting whether the concrete cracks according to the average elastic modulus and the constraint tensile strain range.
In an alternative implementation, the shrinkage-restraining model is a concrete shrinkage-restraining model restrained by a steel plate, the steel plate has a length of 1000mm and a thickness of 20 or 40 or 60mm, and the steel plate has a length identical to that of the concrete.
In an alternative implementation, the obtaining the third shrinkage strain of the concrete at the first moment, the prediction module 304 is configured to:
at the first moment, obtaining the restrained shrinkage displacement of the concrete; wherein the constraining shrinkage displacement is in the direction of extension of the length of the concrete;
and obtaining a third shrinkage strain of the concrete at the first moment according to the length of the concrete and the constraint shrinkage displacement.
In an optional implementation manner, the obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain, and the prediction module 304 is configured to:
respectively obtaining constraint tensile strain values corresponding to the concrete at the first moment and the second moment according to the third shrinkage strain and the fourth shrinkage strain; wherein the constraint pull strain value is obtained by: epsilon t ＝ε f -ε r ，ε r For the shrinkage strain, ε, obtained by the concrete according to the constrained shrinkage model f Shrinkage strain obtained for the concrete according to the concrete free shrinkage model;
and obtaining the constraint tensile strain range of the concrete corresponding to the first moment to the second moment according to the obtained constraint tensile strain values.
In an alternative implementation, the predicting whether the concrete is cracked according to the average elastic modulus, and the predicting module 304 is configured to:
acquiring a concrete tensile strength curve of the concrete from the first moment to the second moment, and acquiring a constraint stress curve of the concrete from the first moment to the second moment according to the average elastic modulus and the constraint tensile strain range;
if the constraint stress curve and the concrete tensile strength curve have an intersection point, predicting that the concrete is cracked, and predicting the cracking time of the concrete according to the intersection point.
Based on the same inventive concept as the above-mentioned application embodiments, an electronic device is also provided in the embodiments of the present application, and the electronic device may be used for crack prediction. In one embodiment, the electronic device may be a server, a terminal device, or other electronic device. In this embodiment, the electronic device may be configured as shown in fig. 4, including a memory 401, a communication interface 403, and one or more processors 402.
A memory 401 for storing a computer program executed by the processor 402. The memory 401 may mainly include a storage program area and a storage data area, wherein the storage program area may store an operating system, a program required for running an instant communication function, and the like; the storage data area can store various instant messaging information, operation instruction sets and the like.
The memory 401 may be a volatile memory (RAM) such as a random-access memory (RAM); the memory 401 may also be a nonvolatile memory (non-volatile memory), such as a read-only memory, a flash memory (flash memory), a Hard Disk Drive (HDD) or a Solid State Drive (SSD), or any other medium that can be used to carry or store desired program code in the form of instructions or data structures and that can be accessed by a computer, but is not limited thereto. Memory 401 may be a combination of the above.
The processor 402 may include one or more central processing units (Central Processing Unit, CPU) or digital processing units, etc. A processor 402 for implementing the above-described data management method when calling the computer program stored in the memory 401.
The communication interface 403 is used for communication with terminal devices and other servers.
The specific connection medium between the memory 401, the communication interface 403, and the processor 402 is not limited in the embodiment of the present application. In the embodiment of the present application, the memory 401 and the processor 402 are connected through the bus 404 in fig. 4, the bus 404 is shown with a thick line in fig. 4, and the connection manner between other components is only schematically illustrated, but not limited to. The bus 404 may be classified as an address bus, a data bus, a control bus, etc. For ease of illustration, only one thick line is shown in fig. 4, but not only one bus or one type of bus.
It should be noted that although several units or sub-units of the apparatus are mentioned in the above detailed description, such a division is merely exemplary and not mandatory. Indeed, the features and functions of two or more of the elements described above may be embodied in one element in accordance with embodiments of the present application. Conversely, the features and functions of one unit described above may be further divided into a plurality of units to be embodied.
Furthermore, although the operations of the methods of the present application are depicted in the drawings in a particular order, this is not required to either imply that the operations must be performed in that particular order or that all of the illustrated operations be performed to achieve desirable results. Additionally or alternatively, certain steps may be omitted, multiple steps combined into one step to perform, and/or one step decomposed into multiple steps to perform.
In this way, the embodiment of the application provides a crack prediction device based on elastic modulus of concrete under action of capillary hole stress, which is used for obtaining first capillary hole stress of concrete at a first moment and second capillary hole stress of concrete at a second moment according to an established concrete shrinkage model, obtaining first shrinkage strain of the concrete at the first moment according to the first capillary hole stress, obtaining second shrinkage strain of the concrete at the second moment according to the second capillary hole stress, and obtaining average elastic modulus of the concrete within the first moment to the second moment according to the first shrinkage strain and the second shrinkage strain, wherein the average elastic modulus is obtained by adopting the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 Further, the concrete is predicted to be based on the average elastic modulusAccording to the method, the shrinkage strain of the concrete under different strength grades, different ages and different constraint conditions can be tested, the purpose of crack prediction of the concrete under different constraint conditions is achieved, the problem that the measured static compression elastic modulus is inaccurate due to rapid load loading in the prior art is avoided, and the accuracy of crack prediction based on the average elastic modulus is further guaranteed.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a server, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Program code for carrying out operations of the present application may be written in any combination of one or more programming languages, including an object oriented programming language such as Java, C++ or the like and conventional procedural programming languages, such as the "C" programming language or similar programming languages. The program code may execute entirely on the user's computing device, partly on the user's equipment, as a stand-alone software package, partly on the user's computing device, partly on a remote computing device, or entirely on the remote computing device or server.
In the case of remote computing devices, the remote computing device may be connected to the user computing device through any kind of network, including a Local Area Network (LAN) or a Wide Area Network (WAN), or may be connected to an external computing device (e.g., connected over the Internet using an Internet service provider).
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present application without departing from the spirit or scope of the application. Thus, it is intended that the present application also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (10)
1. A crack prediction method based on the elastic modulus of concrete under the action of capillary pore stress is characterized by comprising the following steps:
according to the established concrete shrinkage model, acquiring first capillary stress of the concrete at a first moment and second capillary stress of the concrete at a second moment;
acquiring a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress, and acquiring a second shrinkage strain of the concrete at the second moment according to the second capillary hole stress;
according to the first shrinkage strain and the second shrinkage strain, obtaining the average elastic modulus of the concrete from the first moment to the second moment; wherein the average elastic modulus is obtained using the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 ，σ c (t 1 ) For the first capillary stress, sigma c (t 2 ) Epsilon for the second capillary stress f (t 1 ) Epsilon for said first shrinkage strain f (t 2 ) Is the second shrinkage strain;
and predicting whether the concrete is cracked according to the average elastic modulus.
2. The method of claim 1, wherein the first capillary stress of the concrete at the first moment is obtained using the formula:
wherein gamma is the surface tension of the inner walls of the capillary pores, which is equal to 7.28X10 at 20 DEG C -2 N/m; θ is the contact angle indicating the liquid-solid interface (0 for concrete); r is the most probable pore size of the concrete at the first moment t 1.
3. The method of claim 1 or 2, wherein said concrete shrinkage model is an unconstrained concrete free shrinkage model, and said obtaining a first shrinkage strain of said concrete at said first time based on said first capillary stress comprises:
at the first moment, obtaining free shrinkage displacement of the concrete under the action of the stress of the first capillary holes;
and obtaining the first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and the free shrinkage displacement.
4. The method of claim 1 or 2, wherein predicting whether the concrete is cracked based on the average modulus of elasticity comprises:
establishing a constraint shrinkage model according to constraint parameters, and acquiring a third shrinkage strain of the concrete at the first moment and a fourth shrinkage strain of the concrete at the second moment according to the constraint shrinkage model;
obtaining a constraint tensile strain range corresponding to the concrete from the first moment to the second moment according to the third shrinkage strain and the fourth shrinkage strain;
and predicting whether the concrete cracks according to the average elastic modulus and the constraint tensile strain range.
5. The method of claim 4, wherein the shrinkage-restraining model is a concrete shrinkage-restraining model restrained by a steel plate, the steel plate having a length of 1000mm and a thickness of 20 or 40 or 60mm, the steel plate having a length identical to the length of the concrete.
6. The method of claim 5, wherein said obtaining a third shrinkage strain of said concrete at said first time comprises:
at the first moment, obtaining the constraint shrinkage displacement of the concrete and the steel plate respectively; wherein the constraining shrinkage displacement is in the direction of extension of the length of the concrete;
and obtaining a third shrinkage strain of the concrete at the first moment according to the constraint shrinkage displacement.
7. The method of claim 6, wherein the obtaining a constraint tensile strain range of the concrete corresponding to the first time to the second time according to the third shrinkage strain and the fourth shrinkage strain comprises:
respectively obtaining constraint tensile strain values corresponding to the concrete at the first moment and the second moment according to the third shrinkage strain and the fourth shrinkage strain; wherein the constraint pull strain value is obtained by: epsilon t ＝ε f -ε r ，ε r For the shrinkage strain, ε, obtained by the concrete according to the constrained shrinkage model f Shrinkage strain obtained for the concrete according to the concrete free shrinkage model;
and obtaining the constraint tensile strain range of the concrete corresponding to the first moment to the second moment according to the obtained constraint tensile strain values.
8. The method of claim 5, wherein predicting whether the concrete is cracked based on the average modulus of elasticity comprises:
acquiring a concrete tensile strength curve of the concrete from the first moment to the second moment, and acquiring a constraint stress curve of the concrete from the first moment to the second moment according to the average elastic modulus and the constraint tensile strain range;
if the constraint stress curve and the concrete tensile strength curve have an intersection point, predicting that the concrete is cracked, and predicting the cracking time of the concrete according to the intersection point.
9. The utility model provides a fracture prediction device based on concrete elastic modulus under capillary pore stress effect which characterized in that includes:
the capillary hole stress acquisition module is used for acquiring first capillary hole stress of the concrete at a first moment and second capillary hole stress of the concrete at a second moment according to the established concrete shrinkage model;
the shrinkage strain acquisition module is used for acquiring a first shrinkage strain of the concrete at the first moment according to the first capillary hole stress and acquiring a second shrinkage strain of the concrete at the second moment according to the second capillary hole stress;
the elastic modulus acquisition module is used for acquiring the average elastic modulus of the concrete from the first moment to the second moment according to the first shrinkage strain and the second shrinkage strain; wherein the average elastic modulus is obtained using the following formula: e (E) t (Δt)＝(σ c (t 2 )-σ c (t 1 ))/(ε f (t 2 )-ε f (t 1 ))，Δt＝t 2 -t 1 ，σ c (t 1 ) For the first capillary stress, sigma c (t 2 ) Epsilon for the second capillary stress f (t 1 ) Epsilon for said first shrinkage strain f (t 2 ) Is the second shrinkage strain;
and the prediction module is used for predicting whether the concrete is cracked according to the average elastic modulus.
10. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the method of any of claims 1-8 when executing the computer program.
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