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Article

Hydraulic Resistance Analysis Based on Cohesive Strength and Toughness of Synthetic Polymerized Rubber Gel Used as Water-Leakage Repair Material for Concrete Structures

1
Doctorial Course of Convergence Institute of Biomedical Engineering and Biomaterials, School of Architecture, Seoul National University of Science & Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea
2
Institute of Construction Technology, Seoul National University of Science & Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea
3
Renew System, 189, Seongam-ro, Mapo-gu, Seoul 01811, Korea
4
School of Civil Engineering Architecture and Environment, Hubei University of Technology, No. 28, Nanli Road, Hong-Shan District, Wuchang, Wuhan 430068, China
5
School of Architecture, Seoul National University of Science & Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea
*
Author to whom correspondence should be addressed.
Appl. Sci. 2022, 12(19), 9814; https://doi.org/10.3390/app12199814
Submission received: 18 September 2022 / Revised: 26 September 2022 / Accepted: 27 September 2022 / Published: 29 September 2022

Abstract

:
As construction in urban centers increases internationally, many concrete infrastructures are being built at 100 m or more underground, and the influence of groundwater on these facilities is also increasing. Accordingly, the importance of waterproofing and leak-proofing technology for securing long-term durability and safety of underground concrete facilities has been greatly emphasized. The most important required performance of such leak repair technology is to withstand structural behavior and groundwater pressure well. Currently, as a leak repair material for underground concrete facilities, a synthetic rubber-based polymer rubber gel with adhesive flexibility is used internationally. However, quantitative data on how deep the material can perform underground are lacking. In general, the water pressure resistance evaluation of leak repair materials only checks whether it withstands the water pressure of 30 m (0.3 MPa) underground. Therefore, in this study, the toughness of the synthetic rubber polymerized gel (SPRG) leak repair material was calculated using three factors: viscosity, cohesive strength (adhesion strength), and elongation, and an analysis method that can be replaced with water pressure resistance was proposed. In addition, in the correlation between toughness and underground water pressure, it was possible to find out the thickness of the leak repair material used by the underground depth. As a result, it was possible to know the required thickness of the leak repair material according to the depth of the structure to be built underground.

1. Introduction

In the case of concrete structures constructed underground, major problems have been raised in the safety and usability of the structures due to dry shrinkage cracks at the initial stage of curing and leakage from member joints and cold joints [1]. Groundwater flowing into the interior along these cracks and joints increases maintenance costs due to discharge [2], and especially, water passing through concrete structures corrodes buried reinforcing bars and steel frames, thereby reducing the durability and safety of structures [3]. To overcome this situation, ISO TR 16475 [4] and ISO TS 16774 [5] stipulate standard guidelines for leak crack repair and test methods for repair material performance evaluation. Therefore, repair materials and methods are needed to prevent leakage from entering the concrete structure and indoor space at the initial stage [6,7]. Recently, a waterproof layer reforming injection method using a synthetic rubber-based polymer gel (hereinafter referred to as SPRG) leak repair material has been developed and is being used internationally [7,8]. The biggest reason why SPRG is used as a leak-crack repair material is that it is a non-hardening gel, and it does not break or tear even in cracks and joint behavior, and it has the characteristic of continuously attaching to the wet surface [9,10]. In other words, when high-viscosity SPRG is injected into leaky cracks or gaps in the joint, it has been evaluated because it has excellent resistance to repeated behavior and high pressure. Therefore, it is very important to always maintain high viscosity in order for SPRG to have continuous hydraulic resistance [10,11]. However, for on-site quality control of this material and method, the standard for the appropriate amount of SPRG filling (usage) or the appropriate thickness according to the depth of the underground has not yet been established [12,13]. Therefore, it is necessary to measure the injection amount and thickness of the repair material for leak repair design according to the depth of the underground structure.
Therefore, it is necessary to check the correlation between the viscosity of the SPRG and the water pressure resistance, which responds to the behavior of concrete members in cracks or joints, contraction, and expansion due to temperature, and subsidence of the ground. When SPRG is injected along the leak path of cracks and joints, the material repels water while filling the voids. In this state, when the pressure of groundwater acts, the water inflow is blocked by the hydraulic resistance of the SPRG [14,15]. At this time, the water pressure resistance or hydraulic resistance largely depends on the viscosity or cohesiveness (cohesive force) of the SPRG. The higher the viscosity, the greater the cohesive force and hydraulic resistance, and the lower the viscosity, the weaker the cohesive force and hydraulic resistance [16]. Therefore, it is necessary to quantitatively evaluate the correlation with the underground water pressure according to the viscosity or cohesiveness of the SPRG. Therefore, in this study, a theoretical analysis was conducted to confirm the interconnection of viscosity, cohesiveness, toughness, and hydraulic resistance of SPRG. ‘Viscosity’ is a quantity that indicates the difficulty of fluid flow, and is defined as the degree of stickiness or internal resistance when flowing. Here, the internal resistance refers to the chemical bonding force between atoms or molecules constituting the material, and it can be expressed as ‘cohesiveness (cohesive force)’, which is the interaction between molecules [17]. Here, ‘cohesiveness’ can also be defined as the cohesive strength of a solid or liquid substance to adhere to another substrate or to resist applied energy and maintain adhesion until destruction [18,19]. This ‘cohesiveness’ for a solid or liquid to maintain its shape due to intermolecular attraction can also be defined as ‘toughness’ of a substance. ‘Water pressure’ acts as a force to destroy the internal resistance (water pressure resistance) of the waterproofing material in the waterproofing field [20,21]. Therefore, the waterproofing material must have energy to resist water pressure (water pressure resistance) and secure sufficient ‘toughness’ of the material, which can in turn be interpreted as ‘hydraulic resistance’. Based on this theory, in this study, the interconnection of ‘cohesive strength’, ‘toughness’, and ‘hydraulic resistance’ can be equally applied as N/mm2 in the unit of measurement of force.
Accordingly, as a previously published study, Jong-Yong Lee proposed the possibility to find ‘toughness’ in the stress-strain relationship of SPRG and to judge the toughness as hydraulic resistance [22,23]. Based on this, in this study, ‘cohesive force’ and ‘toughness’ were calculated according to the temperature at each depth in the underground for SPRG of high, medium, and low viscosity. Again, the correlation between toughness and water pressure resistance is obtained, and the appropriate thickness for each viscosity of SPRG that can resist changes in water pressure according to the depth of the ground is presented.

2. Analysis and Experimental Methods of Correlating Toughness and Hydraulic Resistance

2.1. Analysis of the Relationship between Viscosity, Cohesive Strength, Toughness, and Hydraulic Resistance

2.1.1. Cohesive Strength

The polymer material used in this study, SPRG, maintains the cohesive force between molecules in a stable state, and when an external force is applied, the intermolecular cohesive force acts as a stress that resists the external force [24,25]. This cohesive force is engineeringly defined as cohesive strength with a substrate [26,27]. Therefore, the cohesive strength can be calculated as in Equation (1) because the value of the adhesive strength measured according to the test method presented in 2.3 can be used.
τ a = P m a x 1600
where   τ a is the Cohesive Strength (N/mm2) and   P m a x is the Maximum Load (Force) (N).

2.1.2. Elongation

Elongation can be obtained by following the test method presented in Section 2.3 along with measuring the adhesive strength. Therefore, in parallel with the cohesive strength measurement in Section 2.1.1, the maximum elongation of the SPRG can be calculated as in Equation (2).
ε a = Δ L L 0 × 100
where   ε a is the Elongation between attachments at break (%),   L 0 is the Distance between attachments (mm), and   Δ L is the Elongation at break (mm).

2.1.3. Toughness

Toughness can be calculated according to Equation (3) using the cohesive strength and elongation obtained in Equations (1) and (2) above.
0 ε f σ d ε
where is the ε = strain,   ε f is the strain at break, and   σ is the Stress (MPa, N/mm2).
The toughness value calculated according to the above formula can be confirmed as the total area under the stress-strain curve confirmed in the cohesive strength (adhesion strength) measurement as shown in Figure 1, and the area of the graph can be defined as the toughness value.

2.1.4. Estimation of Water Pressure Response Performance

Toughness can be interpreted as ‘energy that resists damage without being destroyed by water pressure’ according to the definition of ‘energy required for destruction’. Moreover, since the unit of toughness and water pressure is ‘force acting per unit area’, the same unit is used, so there is no problem in commonly used analysis, and toughness and water pressure are regarded as the same [18]. This relation between toughness and hydrostatic pressure is summarized in Figure 2 below.
When the atmospheric pressure is 1 atm, it is 1.01 × 105 Pa, which can be converted into units of 0.1 MPa (N/mm2). In general, the water pressure at 10 m underground is 10 tonf/m2 = 0.1 MPa = 0.1 N/ mm2, which can be converted into units. If this is journalized in units of 1 m, the water pressure of 1 m underground = 1 tonf/m2 = 0.01 MPa = 0.01 N/mm2 is converted into units.
For example, in the case of 30 m underground, the water pressure acting can be converted to 0.3 N/mm2.

2.2. Materials and Equipment Used in Experiments and Analysis

In this study, three viscosity types of SPRG were used. The material composition ratio (%) and viscosity (cP) of each type are shown in Table 1. Figure 3 shows the photos of the SPRG material samples that were tested in this study.

2.3. Test Method

To measure the cohesive strength (adhesion strength) of viscous materials, as shown in Figure 4, the ‘tensile adhesion test method’ proposed by Jong-Yong Lee [8] was used.
In the case of manufacturing multiple specimens by simulating concrete cracks in manufacturing the test base, in order to obtain the consistency of the specimen with a homogeneous surface state, a 40 × 40 × 10 mm size iron attachment was used as specified in ASTM D 2651 and ASTM D 7234. The two were replaced with the substrate, and the gap was defined as the concrete crack width or joint width.
The experimental conditions are shown in Table 2. Considering the temperature change environment in the underground space [10], the cohesive strength is measured at 5 °C, 10 °C, and 20 °C. The leakage crack width (injection material thickness) is assumed to be 2 mm to 10 mm considering the general behavior of underground concrete [10], and after fixing the spacing between attachments to 2 mm and 10 mm, SPRG is injected and cured. cured specimen is installed on to the universal testing machine (UTM), whereby tensile force is applied at a rate of 20 mm/min in the vertical direction, and maximum load and displacement values are recorded and the raw data from the UTM program are extracted and measured values using Formulas (1), (2), and (3) were calculated. In this study, all test data were measured five times for each condition, and among them, three values excluding the maximum and minimum values were used for analysis. Refer to Figure 5 for an illustration of the UTM testing chamber and the apparatus for material testing.

3. Analysis and Consideration of Result

3.1. Cohesive Strength and Toughness of 2 mm Thickness

The results of measuring the cohesive strength and toughness under the temperature conditions of 5 °C, 10 °C, and 20 °C on a 2 mm thick specimen for each SPRG viscosity type are shown in Figure 6, Table 3, and Figure 7. Figure 6 shows the sample of testing (adhesion strength) for a specimen with a thickness of 2 mm.
Table 3 shows the measured values and average values of cohesive strength, elongation, and toughness under the temperature conditions of 5 °C, 10 °C, and 20 °C for each of the three SPRG viscosity types. The average value of toughness was analyzed by viscosity and temperature, as shown in Figure 7. As for the cohesive strength according to the viscosity condition of SPRG, in the order of Type C (10 °C, 0.0342 N/mm2) > Type B (10 °C, 0.0251 N/mm2) > Type A (10 °C, 0.0115 N/mm2), it was confirmed that the higher the viscosity, the greater the cohesive strength appeared. In addition, the toughness according to the viscosity conditions of SPRG increases as the viscosity increases in the order of Type C (20 °C, 0.0368 N/mm2) > Type B (5 °C, 0.0294 N/mm2) > Type A (20 °C, 0.0123 N/mm2). The trend was confirmed (refer to Figure 7a) as shown in Figure 7b, the cohesion and toughness of SPRG according to the temperature environment tended to appear higher in the low temperature region (5 °C, 10 °C) than in the high temperature region (20 °C). In addition, it was found that the deviation of cohesion and toughness was larger in the high temperature region (20 °C) than in the low temperature region (5 °C, 10 °C).
Through this experimental analysis, in the case of SPRG with a thickness of 2 mm, the cohesive strength and toughness tended to increase as the viscosity increased in the order of Type C > Type B > Type A. It was found that the cohesive strength and toughness according to the effect of temperature showed higher toughness and stability in the low temperature region (5 °C, 10 °C) than the relatively high temperature region (20 °C).

3.2. Cohesive Strength and Toughness of 10 mm Thickness

Figure 8, Table 4, and Figure 9 show the results of measuring cohesive strength and toughness under the temperature conditions of 5 °C, 10 °C, and 20 °C for 10 mm thick specimens for each SPRG viscosity type. Figure 8 shows the measurement of viscosity and cohesive strength (adhesion strength) of a 10 mm thick sample.
Table 4 shows the measured values of cohesive strength, elongation, and toughness under the temperature conditions of 5 °C, 10 °C, and 20 °C for each of the three SPRG viscosity types and their average values. The average value of was divided by viscosity and temperature and analyzed as shown in Figure 9. The cohesive strength according to the viscosity condition of SPRG increases as the viscosity increases in the order of Type C (5 °C, 0.0289 N/mm2) > Type B (5 °C, 0.092 N/mm2) > Type A (5 °C, 0.046 N/mm2). In addition, the toughness according to the viscosity conditions of SPRG increases as the viscosity increases in the order of Type C (5 °C, 0.2062 N/mm2) > Type B (5 °C, 0.1229 N/mm2) > Type A (5 °C, 0.0192 N/mm2). The trend was confirmed (refer to Figure 9a). As shown in Figure 9b, the cohesion and toughness of SPRG according to the temperature environment tended to be higher in the low temperature region (5 °C, 10 °C) than in the high temperature region (20 °C).
Through this experimental analysis, in the case of 10 mm thickness of SPRG, the cohesive strength and toughness tended to be greater as the viscosity increased in the order of Type C > Type B > Type A. It was found that the cohesive strength and toughness according to the influence of temperature showed relatively higher toughness in the low temperature region (5 °C, 10 °C) than in the high temperature region (20 °C).

3.3. Comparison of 2 mm and 10 mm Thickness

Table 5 shows the average values of cohesive strength and elongation toughness for each type of SPRG viscosity and thickness of 2 mm and 10 mm specimens for each temperature condition.
(1)
Comparison of cohesive strength
Figure 10 shows the results of comparison of the cohesive strength of the 2 mm and 10 mm thick specimens. Comparison of cohesive strength according to the thickness of the SPRG sample shows that the cohesive strength of 2 mm thickness is greater than that of 10 mm thickness in types A, B, and C viscosities. In a comparison of the cohesive strength according to the viscosity, it was found that the cohesive strength deviation was large according to the thickness difference in the low viscosity (Type A) or the medium viscosity (Type B), but the deviation was not large in the high viscosity (Type C). In a comparison of cohesive strength according to temperature conditions, it was found that in the low viscosity (Type A) or medium viscosity (Type B), the cohesive strength deviation was large according to the thickness difference at all temperatures, but the deviation was not large in high viscosity (Type C).
(2)
Comparison of elongation rates
Figure 11 shows the comparison results of elongation rates of 2 mm and 10 mm thick specimens. Comparison of the elongation according to the thickness of the SPRG sample showed that the 10 mm thickness showed a greater elongation than the 2 mm thickness in types A, B, and C viscosities and temperature conditions. Comparing the elongation rate according to the difference in viscosity, it can be seen that the elongation rate is greater at high viscosity (Type C) than at low viscosity (Type A) or medium viscosity (Type B). Comparison of elongation rates according to temperature conditions shows that, at low viscosity (Type A) or medium viscosity (Type B), the elongation deviation is not large at all temperatures of 2 mm and 10 mm, but at high viscosity (Type C) there is a large deviation. In the case of elongation, as the thickness of the material increases, the amount of material increases accordingly, so the intermolecular elongation range is widened, so it is judged that the elongation is measured to be high. In addition, it is determined that when the temperature is high, the flexibility is increased, so that the elongation occurs better and the elongation rate is increased.
(3)
Comparison of toughness
Figure 12 shows the comparison result of the toughness of the 2 mm and 10 mm thick specimens. A comparison of the toughness according to the thickness of the SPRG sample shows that the 10 mm thickness is greater than the 2 mm thickness. Comparison of toughness in all viscosities and temperature condition of Type A, B, and C shows that toughness greatly increases according to the difference in thickness at high viscosity (Type C) than at low viscosity (Type A) or medium viscosity (Type B). Comparison of toughness according to temperature conditions showed that there was little difference in thickness at low viscosity (Type A), medium viscosity (Type B) at low temperature, and temperature at high viscosity was not significantly affected.
Similar to elongation, it is judged that as the amount of material increases as the thickness of the material increases, the potential energy of the material itself, that is, the energy to resist external force due to the high internal cohesive strength, was measured. However, at low temperature, the arrangement between molecules is condensed to maintain a close shape, but as the temperature increases, the arrangement is loosened and the toughness decreases.

3.4. Prediction Result of Hydraulic Response

By substituting the average toughness analyzed in Section 3.3 into the hydrostatic pressure equation (hydrostatic resistance) of Figure 3, the expected underground depth can be converted as shown in Table 6 below.
Based on the results shown in Table 6 above, it is judged that the low-viscosity Type A should be used only in the very shallow underground of 1 m or less under the assumption that the temperature at the depth of the underground is maintained at an average of 10 °C. It is judged that Type B of medium intensity can be used from 2 m to 7 m underground. It is judged that the high viscosity Type C can be used from 3 m to 32 m underground.
Based on the above results, trend lines and equations were obtained as shown in Figure 13 based on the average toughness value of 10 °C for each SPRG viscosity type, and then the toughness values according to thickness were checked. It was confirmed that the low-viscosity Type A, regardless of the increase in toughness, decreased as the thickness of the material increased, and converted to a negative region around 22 mm in thickness. It means that the viscosity is low in spite of applying a thickness greater than that, which means that it cannot resist water pressure and is lost. Since Type B of medium strength does not have a large increase in toughness with increasing thickness, it is predicted that a thickness of 30 mm or more should be secured to cope with water pressure of 20 m. If it is to be used at a depth of 100 m or more, it is predicted that the SPRG must be constructed with a thickness of about 165 mm or more to cope with water pressure of 100 m. It can be confirmed from Figure 13 that the increase in toughness of Type C with high viscosity is proportional to the increase in the thickness of the material, and the increase is confirmed to be very large.
Therefore, it is predicted that it is possible to respond when the thickness is about 28 mm or more at a depth of 100 m or more. Thus, it was found that it is possible to use SPRG having a quality and viscosity equal to or higher than that of Type C in order to block water leakage in an actual deep underground tunnel, etc.

4. Conclusions

In this study, correlations of environmental and material workability conditions including temperature, viscosity, cohesive force, adhesion strength, toughness, and water pressure resistance were analyzed to present quality standards for proper filling amount and thickness management for on-site quality control when using SPRG leak repair materials. Based on presented analysis, a theory was presented that can determine the water pressure resistance according to the change in the underground depth according to the viscosity and thickness, and the conclusion of this study is as follows:
(1)
In this study, an experimental method to reproduce the behavior of cracks injected with SPRG type repair materials was presented. The adhesion and elongation of the leak repair material obtained through this experiment were interpreted as ‘toughness’ and ‘water pressure resistance’, and a theory that can be viewed as an equivalent physical force was presented;
(2)
Based on this method, a correlation between viscosity, cohesive strength, toughness, and hydraulic resistance of SPRG used as a leak crack repair material for concrete structures was presented. Based on this analysis, study results suggested the appropriate thickness to resist the water pressure in the underground depth for SPRG of high viscosity, medium viscosity, and low viscosity. In this regard, it was found that a thickness of about 28 mm or more was required for high-viscosity SPRG at 100 m underground, and it was found that even with the same thickness, a high-viscosity material can resist higher water pressure. Limited within the scope of this testing and the SPRG types investigated, it was found that the SPRG types from the highest hydraulic resistance to lowest hydraulic resistance is Type C > Type B > and Type A;
(3)
This study demonstrates that an evaluation method (test method) can be made possible to evaluate leakage repair materials and their hydraulic resistance performance in various underground water pressure conditions. Therefore, in the future, the work to use the correlation of viscosity, toughness, and water pressure resistance of the repair materials presented in this study as a practical evaluation standard will be promoted.

Author Contributions

Conceptualization, H.S., K.O., J.L. and B.K.; experimental plan, H.S., K.O. and J.L.; data curation, H.S., K.O. and B.K.; formal analysis, H.S., K.O. and B.K.; investigation, H.S., K.O., J.B. and B.K.; methodology, H.S., K.O., J.B., B.K. and S.O.; project administration, J.L., B.K. and S.O.; resources, H.S., K.O. and B.K.; supervision, S.O.; writing—original draft preparation, H.S., K.O. and S.O.; writing—review and editing, H.S., B.K. and S.O. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by Major Technical Innovation Project in Hubei Province of China (2022BCA082).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

Abbreviations

SPRGNon-hardening viscoelastic synthetic polymer rubberized gel

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Figure 1. Toughness in the stress-strain curve of SPRG [8].
Figure 1. Toughness in the stress-strain curve of SPRG [8].
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Figure 2. Equal equation of toughness and hydrostatic pressure.
Figure 2. Equal equation of toughness and hydrostatic pressure.
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Figure 3. SPRG materials; (a) Type A; (b) Type B; (c) Type C.
Figure 3. SPRG materials; (a) Type A; (b) Type B; (c) Type C.
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Figure 4. Cohesion test procedure based on SPRG thickness.
Figure 4. Cohesion test procedure based on SPRG thickness.
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Figure 5. UTM Testing apparatus; (a) UTM, (b) apparatus set-up within the UTM for testing.
Figure 5. UTM Testing apparatus; (a) UTM, (b) apparatus set-up within the UTM for testing.
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Figure 6. Cohesive strength testing for 2 mm specimen; (a) specimen test preparation, (b) cohesive strength testing.
Figure 6. Cohesive strength testing for 2 mm specimen; (a) specimen test preparation, (b) cohesive strength testing.
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Figure 7. Cohesive strength and toughness comparison of viscosity types based on temperature condition (2 mm thickness); (a) toughness and cohesion strength comparison based on viscosity type, (b) toughness and cohesion strength comparison based on temperature condition.
Figure 7. Cohesive strength and toughness comparison of viscosity types based on temperature condition (2 mm thickness); (a) toughness and cohesion strength comparison based on viscosity type, (b) toughness and cohesion strength comparison based on temperature condition.
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Figure 8. Cohesion strength testing for 10 mm specimen; (a) specimen thickness measurement, (b) cohesive strength testing.
Figure 8. Cohesion strength testing for 10 mm specimen; (a) specimen thickness measurement, (b) cohesive strength testing.
Applsci 12 09814 g008
Figure 9. Cohesive strength and toughness comparison of viscosity types based on temperature condition (10 mm thickness); (a) toughness and cohesion strength comparison based on viscosity type, (b) toughness and cohesion strength comparison based on temperature condition.
Figure 9. Cohesive strength and toughness comparison of viscosity types based on temperature condition (10 mm thickness); (a) toughness and cohesion strength comparison based on viscosity type, (b) toughness and cohesion strength comparison based on temperature condition.
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Figure 10. Cohesive strength comparison with sample thickness and temperature.
Figure 10. Cohesive strength comparison with sample thickness and temperature.
Applsci 12 09814 g010
Figure 11. Elongation comparison according to thickness and temperature.
Figure 11. Elongation comparison according to thickness and temperature.
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Figure 12. Toughness comparison according to thickness and temperature.
Figure 12. Toughness comparison according to thickness and temperature.
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Figure 13. Prediction depth and toughness according to thickness by each SPRG type.
Figure 13. Prediction depth and toughness according to thickness by each SPRG type.
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Table 1. Composition and viscosity of SPRG.
Table 1. Composition and viscosity of SPRG.
Type AType BType C
CompositionWaste oil24%22.5%20%
Waste rubber6%7.5%10%
Asphalt35%35%35%
Tackifier10%10%10%
Asphalt modifier5%5%5%
Filler20%20%20%
Total100%100%100%
Viscosity1.8~2.1 million cP3.5~3.8 million cP5.0~5.3 million cP
RemarkLow
viscosity
Medium viscosityHigh
viscosity
Table 2. Test conditions.
Table 2. Test conditions.
Test ConditionTemperatureThicknessTest Speed
5 °C, 10 °C, 20 °C2 mm, 10 mm20 mm/min
Table 3. Measurement result based on specimen types (2 mm thickness).
Table 3. Measurement result based on specimen types (2 mm thickness).
Specimen TypesTemperature
(°C)
Cohesive Strength
[N/mm2]
Avg. Cohesive Strength [N/mm2]Elongation
[%]
Average Elongation
[%]
Toughness
[N/mm2]
Average Toughness
[N/mm2]
Type A50.01700.0195129711410.01380.0123
0.017510020.0110
0.024211250.0122
100.0120.0115122114000.01050.0117
0.009715710.0119
0.012813980.0129
200.01250.01361066950.00350.0033
0.01348490.0038
0.014811290.0026
Type B50.02360.0213158914090.02980.0294
0.016920130.0359
0.02376260.0226
100.01940.0251135813690.01670.0270
0.027613730.0324
0.028413770.0318
200.02200.01868048110.00590.0057
0.01799590.0051
0.01606710.0060
Type C50.03270.029616028060.03790.0309
0.02823050.0271
0.0285120.0276
100.03750.03425325830.03770.0295
0.0362900.0260
0.02919280.0247
200.02510.0216188116670.03920.0368
0.014318170.0336
0.025313040.0377
Table 4. Measurement result based on specimen types (10 mm thickness).
Table 4. Measurement result based on specimen types (10 mm thickness).
Specimen TypesTemperature
(°C)
Cohesive Strength
[N/mm2]
Avg. Cohesive Strength [N/ mm2]Elongation
[%]
Average Elongation
[%]
Toughness
[N/ mm2]
Average Toughness
[N/ mm2]
Type A50.00510.0046300930750.02430.0192
0.005033480.0172
0.003728700.0160
100.00290.0030334130760.00730.0071
0.002930090.0066
0.003328790.0074
200.00330.0031284429200.00630.0067
0.002529310.0048
0.003629860.0089
Type B50.01020.0092164821270.14220.1229
0.008522760.1243
0.008824560.1021
100.00830.0080218424120.07850.0747
0.007129600.0794
0.008720930.0661
200.00630.0071209321470.03740.0352
0.008123160.0363
0.006920320.0321
Type C50.02860.028951714650.24610.2062
0.04174760.2222
0.016334020.1503
100.02520.0286468052540.32360.3220
0.019164450.3204
0.041546370.3218
200.01770.01611044394900.25700.2703
0.015378280.2913
0.0152102000.2627
Table 5. Comprehensive measurement results for each sample.
Table 5. Comprehensive measurement results for each sample.
Specimen TypesThicknessTemperature
(°C)
Avg. Cohesive Strength
[N/ mm2]
Average Elongation
[%]
Average Toughness
[N/mm2]
Type A2 mm5 °C0.019511410.0123
10 °C0.011514000.0117
20 °C0.01366950.0033
10 mm5 °C0.004630750.0192
10 °C0.00330760.0071
20 °C0.003129200.0067
Type B2 mm5 °C0.021314090.0294
10 °C0.025113690.027
20 °C0.01868110.0057
10 mm5 °C0.009221270.1229
10 °C0.00824120.0747
20 °C0.007121470.0352
Type C2 mm5 °C0.02968060.0309
10 °C0.03425830.0295
20 °C0.021616670.0368
10 mm5 °C0.028914650.2062
10 °C0.028652540.322
20 °C0.016194900.2703
Table 6. Comprehensive toughness of specimen types in accordance with thickness and temperature.
Table 6. Comprehensive toughness of specimen types in accordance with thickness and temperature.
Specimen TypeThickness (mm)Temperature (°C)Average Toughness
[N/mm2]
Expected Resistance Capacity Relative to Underground Depth
[m]
Type A250.01231.2
100.01171.2
200.00330.3
1050.01921.9
100.00710.1
200.00670.1
Type B250.02942.9
100.02702.7
200.00570.6
1050.122912.3
100.07477.5
200.03523.5
Type C250.03093.1
100.02953.0
200.03683.7
1050.206220.6
100.322032.2
200.270327.0
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Seo, H.; Oh, K.; Lee, J.; Bo, J.; Kim, B.; Oh, S. Hydraulic Resistance Analysis Based on Cohesive Strength and Toughness of Synthetic Polymerized Rubber Gel Used as Water-Leakage Repair Material for Concrete Structures. Appl. Sci. 2022, 12, 9814. https://doi.org/10.3390/app12199814

AMA Style

Seo H, Oh K, Lee J, Bo J, Kim B, Oh S. Hydraulic Resistance Analysis Based on Cohesive Strength and Toughness of Synthetic Polymerized Rubber Gel Used as Water-Leakage Repair Material for Concrete Structures. Applied Sciences. 2022; 12(19):9814. https://doi.org/10.3390/app12199814

Chicago/Turabian Style

Seo, Hyunjae, Kyuhwan Oh, Jongyong Lee, Jiang Bo, Byoungil Kim, and Sangkeun Oh. 2022. "Hydraulic Resistance Analysis Based on Cohesive Strength and Toughness of Synthetic Polymerized Rubber Gel Used as Water-Leakage Repair Material for Concrete Structures" Applied Sciences 12, no. 19: 9814. https://doi.org/10.3390/app12199814

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