EVALUATION METHOD FOR CORROSION DAMAGE EVOLUTION OF UNDERWATER CONCRETE STRUCTURES
20230384209 · 2023-11-30
Assignee
- Hohai University (Nanjing, CN)
- JIANGXI UNIVERSITY OF SCIENCE AND TECHNOLOGY (Ganzhou, CN)
- Jiangsu Dongjiao Intelligent Control Technology Group Co., Ltd. (Nanjing, CN)
Inventors
- Maosen CAO (Nanjing, CN)
- Li WEI (Nanjing, CN)
- Jie Wang (Nanjing, CN)
- Tongfa DENG (Ganzhou, CN)
- Dragoslav SUMARAC (Nanjing, CN)
- Xiangdong QIAN (Nanjing, CN)
- Lei SHEN (Nanjing, CN)
- Nizar Faisal ALKAYEM (Nanjing, CN)
- Drahomir NOVAK (Nanjing, CN)
Cpc classification
International classification
Abstract
An evaluation method for corrosion damage evolution of underwater concrete structures includes performing the time reversal test on the concrete beam specimen placed in the water, performing the uniaxial compression test on the concrete cube specimens; immersing the concrete beam specimen and the concrete cube specimens in a hydrochloric acid solution, and performing the time reversal test on the concrete beam specimen on the 10th, 20th and 30th days respectively. At the same time, a concrete cube specimen is taken out to perform the uniaxial compression test on the 10th, 20th and 30th days respectively; and using the above calculation results to evaluate the corrosion evolution process thereof without damaging the underwater concrete structure.
Claims
1. An evaluation method for corrosion damage evolution of underwater concrete structures, comprising: (a) immersing a concrete beam specimen and a plurality of concrete cube specimens in water to obtain a first immersed concrete beam specimen and a plurality of first immersed concrete cube specimens; (b) performing a time reversal test on the first immersed concrete beam specimen in the water to obtain a damage index DI.sup.0 of a concrete in a water-immersed state, performing a uniaxial compression test on the plurality of first immersed concrete cube specimens to obtain a compressive strength F.sub.cp.sup.0 and an elastic modulus E.sub.c.sup.0 of the concrete in the water-immersed state; (c) immersing the first immersed concrete beam specimen and the plurality of first immersed concrete cube specimens in a hydrochloric acid solution to mimic a long-term corrosion damage of the concrete in the water-immersed state to obtain a second immersed concrete beam specimen and a plurality of second immersed concrete cube specimens, performing the time reversal test on the second immersed concrete beam specimen in the hydrochloric acid solution on 10th, 20th, and 30th days respectively to obtain a damage index DI′ of a concrete in a corrosion state, and at the same time, performing the uniaxial compression test on the plurality of second immersed concrete cube specimens on 10th, 20th, and 30th days respectively to obtain a compressive strength F′.sub.cp and an elastic modulus E′.sub.c of the concrete in the corrosion state; (d) calculating a corrosion index CI with formula (1), calculating a concrete compressive strength loss rate LR.sub.F with formula (2), calculating a concrete elastic modulus loss rate LR.sub.E with formula (3), and
δ.sub.CE=CI−LR.sub.F (4)
δ.sub.CE=CI−LR.sub.E (5) in the formulas, δ.sub.CF is the absolute error between the corrosion index and the concrete compressive strength loss rate, CI is the corrosion index, LR.sub.F is the concrete compressive strength loss rate, δ.sub.CE is the absolute error between the corrosion index and the concrete elastic modulus loss rate, and LR.sub.E is the concrete elastic modulus loss rate.
2. The evaluation method for the corrosion damage evolution of the underwater concrete structures according to claim 1, wherein a method for obtaining a damage index of a concrete by performing the time reversal test on the concrete beam specimen comprises: (21) determining an excitation signal V.sub.A(t); (22) inputting the excitation signal V.sub.A(t) to a sensor at position A on the concrete beam specimen, an expression of response signals received by a sensor at position B in a frequency domain is formula (6),
V.sub.B(r,ω)=k.sub.A(ω)k.sub.B(ω)G(r,ω)V.sub.A(W) (6) an expression of the response signals in a time domain is formula (7),
{circumflex over (V)}.sub.B(r,ω)=k*.sub.A(ω)k*.sub.B(ω)G*(r,ω)V*.sub.A(ω)e.sup.iωt (9) an expression of a reversed signal in the time domain is formula (10),
{circumflex over (V)}.sub.A(r,ω)=k.sub.A(ω)k*.sub.A(ω)k.sub.B(ω)k*.sub.B(ω)G(r,ω)G*(r,ω)V*.sub.A(ω)e.sup.iωT (11) an expression of the focused signal in the time domain is formula (12);
{tilde over (V)}.sub.A(r,ω)={circumflex over (V)}*.sub.A(r,ω)e.sup.iωT (13) in the formula, {circumflex over (V)}*.sub.A is a phase conjugation of {circumflex over (V)}.sub.A, and * is the complex conjugation operator; and an expression of a reconstructed signal in the time domain is formula (14);
N.sub.A(t)=V.sub.A(t)/max(V.sub.A(t))
Ñ.sub.A(t)={tilde over (V)}.sub.A(t)/max({tilde over (V)}.sub.A(t)) (15) in the formulas, V.sub.A(t) is the excitation signal, {tilde over (V)}.sub.A is the reconstructed signal, N.sub.A is a normalized excitation signal, and Ñ.sub.A is a normalized reconstructed signal; and (27) substituting the normalized excitation signal and the normalized reconstructed signal into formula (16) to calculate a damage index;
3. The evaluation method for the corrosion damage evolution of the underwater concrete structures according to claim 2, wherein a method for determining the excitation signal V.sub.A(t) comprises: an expression of a 5-cycle sine function modulated by a Hanning window is formula (17),
4. The evaluation method for the corrosion damage evolution of the underwater concrete structures according to claim 1, wherein a compressive strength F.sub.cp of the concrete i is obtained with formula (18), and an elastic modulus E.sub.c of the concrete is obtained with formula (19);
5. The evaluation method for the corrosion damage evolution of the underwater concrete structures according to claim 1, wherein a method for preparing the concrete beam specimen comprises: performing an anti-corrosion, an insulation, and a waterproof treatment on a pair of sensors; building a formwork of the concrete beam specimen; placing the pairs of sensors at predetermined positions in the formwork of the concrete beam specimen; and pouring the concrete, and completing a maintenance according to standards.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0047] In order to describe the examples and the technical solutions of the present invention, accompanying drawings required by the examples are briefly introduced below. Obviously, the accompanying drawings in the following description are only partial examples of the present invention, and a person of ordinary skill in the art can be able to derive other accompanying drawings from these accompanying drawings without creative efforts. According to the examples of the present invention, corrosion evolution of underwater concrete structures is evaluated by taking corrosion damage caused by immersing C30 concrete specimens in a hydrochloric acid solution with pH=1 as an example.
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DETAILED DESCRIPTION OF THE EMBODIMENTS
[0061] In order to make the technical solution of the present invention better understood and implemented by those skilled in the art, the present invention will be described in detail below with reference to
Example 1
[0062] According to the evaluation method for corrosion damage evolution of underwater concrete structures, the basic steps are shown in the flow chart of
[0063] The present invention will be further described with reference to
[0065] performing anti-corrosion, insulation and waterproof treatment on a pair of sensors, with a specific operation method as shown in
[0066] after that, building a formwork of the concrete beam specimen, placing the sensors at predetermined positions A and B in the formwork, after leading out the leads {circle around (3)}, pouring concrete, and making C30 concrete specimen by selecting ordinary Portland cement with a grade of 32.5, fine aggregates are sands with particle sizes of 0.25-0.5 mm, and coarse aggregates are stones with particle sizes of 5-30 mm according to a mass ratio of 1:0.958:2.462 and a water-cement ratio of 0.38. As shown in
[0068] next, the time reversal test of stress waves is performed on the concrete beam specimen, before the test, as shown in
[0069] a process of the time reversal test is shown in
[0071] in the formula, f.sub.c is the center frequency of the modulated signal, the modulated signal is input to the sensor {circle around (5)} at A on the concrete beam specimen separately, the response signal is received by the sensor {circle around (6)} at B, a waveform diagram of the response signal in a frequency band of 60-140 kHz is shown in
V.sub.B(r,ω)=k.sub.A(ω)k.sub.B(ω)G(r,ω)V.sub.A(ω)
[0073] the expression of the response signal in time domain follows:
[0074] In the formula, r is the distance from A to B (that is, the distance of propagation of stress waves), k.sub.A is an electromechanical coupling coefficient of the sensor {circle around (5)} at A, k.sub.B is an electromechanical coupling coefficient of the sensor {circle around (6)} at B, and G(r, ω) is the transfer function from the sensor {circle around (5)} at A to the sensor {circle around (6)} at B. The response signal obtained in the test is shown in
[0076] the expression of the reversed signal in frequency domain is:
{circumflex over (V)}.sub.B(r,ω)=k*.sub.A(ω)k*.sub.B(ω)G*(r,ω)V*.sub.A(ω)e.sup.iωt
[0077] the expression of the reversed signal in time domain is:
[0078] In the formula, V*.sub.B is the phase conjugation of V.sub.B, * is the complex conjugation operator, T is the sampling duration, and r is the distance from A to B; [0079] (6) inputting the reversed signal in step (5) to the sensor {circle around (6)} at B on the concrete beam specimen, and receiving the focused signal by the sensor {circle around (5)} at A, as shown in
{circumflex over (V)}.sub.A(r,ω)=k.sub.A(ω)k*.sub.A(ω)k.sub.B(ω)k*.sub.B(ω)G(r,ω)G*(r,ω)V*.sub.A(ω)e.sup.iωT
[0080] the expression of the focused signal in time domain is:
{tilde over (V)}.sub.A(r,ω)={circumflex over (V)}*.sub.A(r,ω)e.sup.iωT
[0082] In the formula, {circumflex over (V)}*.sub.A is the phase conjugation of {circumflex over (V)}.sub.A, and * is the complex conjugation operator.
[0083] the expression of the reconstructed signal in time domain is:
N.sub.A(t)=V.sub.A(t)/max(V.sub.A(t))
Ñ.sub.A(t)={tilde over (V)}.sub.A(t)/max({tilde over (V)}.sub.A(t))
[0085] In the formula, V.sub.A(t) is the excitation signal, {tilde over (V)}.sub.A(t) is the reconstructed signal, N.sub.A(t) is the normalized excitation signal, and Ñ.sub.A(t) is the normalized reconstructed signal; and
[0086] the normalized excitation signal and the normalized reconstructed signal are shown in
[0087] In the formula, DI is the damage index, t.sub.0 and t.sub.1 are start time and end time of the signal comparison interval separately, N.sub.A(t) is the normalized excitation signal, and Ñ.sub.A(t) is the normalized reconstructed signal.
[0088] Next, the uniaxial compression test is performed on the concrete cube specimens; [0089] (9) performing the uniaxial compression test on concrete cube specimens to obtain the stress-strain curves to calculate the compressive strength and the elastic modulus of concrete with the following formulas:
[0090] in the formulas, F.sub.cp is the compressive strength of the concrete cube specimen, F.sub.max is the failure load, A is the loading area of the specimen, E.sub.c is the elastic modulus of the concrete cube specimen, F.sub.a is the load when stress is ⅔F.sub.cp, F.sub.0 is the load when stress is ⅓ F.sub.cp, L is the measuring scale distance of the concrete cube specimen, and Δ is the deformation of the concrete cube specimen loaded from F.sub.0 to F.sub.a; [0091] (10) replacing the water in the tank with the hydrochloric acid solution with pH=1, immersing the concrete beam specimen and the cube specimens in the hydrochloric acid solution to introduce corrosion damage, and repeating steps (4) to (9) on the 10th, 20th and 30th days after immersing the concrete beam specimen and the cube specimens in the hydrochloric acid solution, separately, and calculating the damage index, the compressive strength and the elastic modulus of the concrete after corrosion; [0092] (11) using the damage index, the compressive strength and the elastic modulus to calculate the corrosion index, the loss rate of concrete compressive strength and the loss rate of concrete elastic modulus, with the formulas as follows:
[0093] in the formulas, CI is the corrosion index, DI.sup.0 is the damage index of concrete in the water-immersed state, DI′ is the damage index of concrete in the corrosion state, LR.sub.F is the loss rate of concrete compressive strength, F.sub.cp.sup.0 is the compressive strength of concrete in the water-immersed state, F′.sub.cp is the compressive strength of concrete in the corrosion state, LR.sub.E is the loss rate of concrete elastic modulus, E.sub.c.sup.0 is the elastic modulus of concrete in the water-immersed state, and E′.sub.c is the elastic modulus of concrete in the corrosion state. [0094] (12) calculating the absolute error between the corrosion index and the loss rate of concrete compressive strength, and calculating the absolute error between the corrosion index and the loss rate of concrete elastic modulus, with the formulas as follows:
δ.sub.CE=CI−LR.sub.F
δ.sub.CE=CI−LR.sub.E
[0095] in the formulas, δ.sub.CF is the absolute error between the corrosion index and the loss rate of concrete compressive strength, CI is the corrosion index, LR.sub.F is the loss rate of concrete compressive strength, δ.sub.CE is the absolute error between the corrosion index and the loss rate of concrete elastic modulus, and LR.sub.E is the loss rate of concrete elastic modulus.
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TABLE-US-00001 TABLE 1 Corrosion duration t 0 10 20 30 The loss rate of concrete 0 4.46% 9.39% 23.29% compressive strength LR.sub.F Corrosion index CI 0 7.35% 13.39% 23.06% The absolute error δ.sub.CF 0 2.89% 4.00% 0.23%
TABLE-US-00002 TABLE 2 Corrosion duration t 0 10 20 30 The loss rate of concrete elastic 0 12.11% 18.03% 24.08% modulus LR.sub.F Corrosion index CI 0 7.35% 13.39% 23.06% The absolute error δ.sub.CE 0 4.76% 4.64% 1.02%
[0097] It can be seen from Table 1 and Table 2 that the absolute error δ.sub.CF between the corrosion index and the loss rate of concrete compressive strength and the absolute error δ.sub.CE between the corrosion index and the loss rate of concrete elastic modulus are less than 5%, and the corrosion index can reasonably evaluate the corrosion state of concrete. The above results show that the provided method is feasible and effective for evaluating the corrosion damage evolution of underwater concrete structures.
[0098] The evaluation method for corrosion damage evolution of underwater concrete structures provided by the present invention timely and effectively represents degradation degree of mechanical properties of the underwater concrete structures caused by corrosion, provides a feasible method for realizing the corrosion damage evolution evaluation of the underwater concrete structure, and the method is practical and worth popularizing.
[0099] The examples disclosed above are only preferable specific examples of the present invention, but the examples of the present invention are not limited to the above examples, and variations readily conceivable to anyone skilled in the art all fall within the scope of protection of the present invention.