Proceedings of the International rilem conference Materials, Systems and Structures in Civil Engineering 2016



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33

International RILEM Conference on Materials, Systems and Structures in Civil Engineering 

Conference segment on Service Life of Cement-Based Materials and Structures

 

 

22-24 August 2016, Technical University of Denmark, Lyngby, Denmark 



 

Monte Carlo simulation was used to simulate the limit state function and to calculate the 

probability of corrosion initiation using Eqs. (4) and (5) for the statistical characteristics of 

random variables given in Tab. 1. In this study, 10

simulations were performed using Matlab 



software to calculate the probability of corrosion initiation. The probability of corrosion 

initiation versus time (years) was plotted, as shown in Figure 2.  

 

 

Figure 2: Probability of corrosion initiation versus time 



4.2

 

 Determination of carbonation depths on-site 

Initially, the location of the reinforcement was identified, and 10 holes were chiselled into the 

concrete, as marked in Figure 3. The phenolphthalein test was carried out on site to measure 

carbonation depths. Tab. 2 shows the mean carbonation depths measured at test locations in 

each console, as indicated in Figure 3. The test locations ((a) to (j)) are chosen, about 22 cm 

from the closet edge. Test locations (a) to (e) are considered as sheltered from rain, whereas 

locations (f) to (j) are considered as partially exposed to rain. 

 

110cm



22cm

55cm


22cm

(a)


(b)

(a)


(c)

(f)


(g)

(h)


(a)Front of a console

(b)Back of a console

110cm

(c)


(h)

(e)


(d)

(j)


(i)

55cm


Sheltered from rain

Partially exposed to rain

Sheltered from rain

Partially exposed to rain

 

Figure 3: Sampling point of a console 



0

0.5

1

1.5

2

2.5

0

10

20

30

40

50

60

70

80

90

100

0

10

20

30

40

50

60

Reliability Index

Pr

obability of corr

osion 

initiation(%

)

Time ( years)

Corrosion initiation

(sheltered from rain)

Corrosion

initiation(partially

exposed to rain)




34

International RILEM Conference on Materials, Systems and Structures in Civil Engineering 

Conference segment on Service Life of Cement-Based Materials and Structures

 

 

22-24 August 2016, Technical University of Denmark, Lyngby, Denmark 



 

Table 2: Mean carbonation depth at locations given in Figure 2 

 

Mean carbonation depth at locations shown in Figure 3 

 

Sheltered from rain 



Partially exposed to rain 

Location (a) 

(b) 

(c) 

(d) 

(e) 

(f) 

(g) 

(h) 

(i) 

(j) 

Console 1 (mm) 

 7   7 



10 







Console 2 (mm) 

 5   7 






Console 3 (mm) 



 6   8 

10 






 

 



 

 

 



 

 

 



 

 

 



 

 

4.3 Half-cell potential (HCP) mapping 

Half-cell potential mapping (HCP) is a non-destructive method, which is widely used for 

monitoring steel corrosion in concrete structures. However, there are no specific guidelines 

available in the literature to interpret HCP measurements due to carbonation. According to 

ASTM (1991) Standard [8], the results from a potential mapping process can be interpreted as 

shown in Tab. 3, which is based on the findings from laboratory testing (partial immersion in 

chloride solution) and outdoor exposure of various reinforced concretes structures above 

ground level. The standard states that criterion given in Tab. 3 should not be utilized if 

concrete is carbonated to the level of the embedded steel, unless either experience or 

destructive examination of some areas, or both, suggest their applicability. Considering 

measured carbonation depths (i.e. destructive examination) in Tab. 2, it can be seen that 

concrete is not carbonated to the level of embedded steel. This is because the average concrete 

cover to the reinforcement (25 mm) is deeper than the measured carbonated depths. 

Considering that fact, Tab. 3 was used to evaluate HCP values due to carbonation

 At 53 



years of service life, the three consoles had 36 HCP measurements taken at 200 mm intervals 

over each of their surfaces, using Cu/CuSO4 as reference electrode. Figure 4 shows the HCP 

measurement over the surface of Console 2 as an example.  

 

Table 3: Interpretation of half-cell potential values as per ASTM C876 [8] 



Half-cell potential (mV) relative to 

Cu/CuSO

4

 reference electrode (HCP) 

percentage chance of active corrosion 

<-350 > 

90% 


-300 to -200   

50% 


>-200 

Less than 10% 

 

5.

 

Comparison of calculated values with field measurements 

 

5.1 Comparison of measured and calculated carbonation depths 

Considering the mean value of each random variable in Eq. (1) and Tab. 2, the mean value of 

the carbonation depths vs time have been plotted as given in Figure 4 for the area sheltered 

from rain and the area partially exposed to rain. It can be seen that, at 53 years, the calculated 

mean value of the carbonation depth is 18 mm for the area sheltered from rain, which is 

higher than the measured average carbonation depth (X1=7 mm). For the locations in the area 

which is partially exposed to rain, the calculated mean carbonation depth is 8.7 mm, which is 

also higher than the measured carbonation depth (X2=4.5 mm, as shown in Figure 5). 

However, both measured and calculated carbonation depths are below the mean value of 




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