Service Life Prediction of Painted Renderings Using Maintenance Data through Regression Techniques
Abstract
:1. Introduction
2. Materials and Methods
3. Life Cycle of Painted Renderings
3.1. Simple Linear Regressions
3.2. Multiple Linear Regression
4. Discussion of the Results
- Physical degradation of buildings over time is normal and expected. The degradation patterns proposed by ABNT [28], de Flores-Colen and Brito [50] and Gaspar [44], as well as those in this research, demonstrate that, even with maintenance actions, a residual decrease in facades’ performance over time is still observed. Some authors refer to the fact that there is an accelerated degradation in the initial phase, which tends to stabilize and accelerates again at the end of the facade’s life. Madureira et al. [51] suggested that renderings and painted facades require continuous inspections and maintenance actions to maintain an adequate level of performance.
- The intervening variables in the degradation of the inspected facades were (besides the age) (i) the facades’ color; (ii) the distance from a source of pollution; (iii) the existence of shading; and (iv) the solar orientation, especially the one facing south. These conclusions are similar to those obtained by Gaspar [44] and Silva et al. [14,36,37]. However, some variables could not be identified in this research, such as the type of materials applied in renderings or in painted surfaces, since the coatings are inspected in situ several years after application.
- Different authors, such as Lavy and Shohet [52], Moubray [53], Shohet and Paciuk [9,47] and Shohet et al. [48,49] already suggested that linear degradation patterns are adequate and valid to describe the performance of components over time Further:
- ○
- ○
- Chai et al. [33] discussed the application of polynomial and linear trend lines for the service life prediction of painted surfaces.
- The inspections must be carried out every 5 years, to monitor the degradation of the painted renderings. During this period, the degradation condition of these coatings can be monitored in a preventive way, contemporaneous with the likely periods of intervention, as well as at times when corrective prognostics will probably be suggested.
- ○
- However, there are shorter and more demanding periods, according to Flores-Colen and Brito [50] and Madureira et al. [51]. On the other hand, Sá et al. [54,55] point out a better cost–benefit ratio for everyone involved, as they suggest preliminary inspections every 15 or 24 months and detailed inspections between 5 and 10 years.
- Regarding the average service life obtained for renderings without maintenance actions:
- ○
- Is 14 years, ranging from 11 to 20 years, using simple linear regressions;
- ○
- Is 14 years, ranging from 7 to 20 years, using multiple linear regressions;
- ○
- The estimated service life periods obtained in this research are similar to those found by Gaspar and Brito [35,42], Silva and Brito [15] and Silva et al. [14,18,36]. The differences observed among studies are due to the application of different materials and/or in the ways of designing and building and the active degradation agents, among other factors. For example, Afzali and Hamzehloo [56] obtained values lower than those found in this research, which, in turn, on average, are lower than those found in the literature.
- ○
- Regarding the ABNT [28] guidelines, the design service life for this and other types of claddings (ceramics and stones) must be at least 20 years. According to this standard, this period is linked to carrying out maintenance actions on the facade based on other technical and normative guidelines. Therefore, the results obtained during the fieldwork survey on the maintenance actions carried out in painted renderings reveal that the standard is fulfilled, even though users should be informed of the possible need to intervene in shorter periods so that the minimum period of performance is effectively reached.
- The average service life obtained for renderings after cleaning actions:
- ○
- Is 16 years, ranging from 12 to 22 years, using simple linear regressions.
- ○
- Is 16 years, ranging from 10 to 22 years, using multiple linear regressions.
- The average service life obtained for renderings after maintenance actions:
- ○
- Is 34 years, ranging from 22 to 45 years, using simple linear regressions.
- ○
- Is 35 years, ranging from 31 to 40 years, using multiple linear regressions.
- Therefore, based on the results obtained from the sample collected, the expected performance of renderings through their life cycle can be illustrated as shown in Figure 3.
- The average service life of painted surfaces without maintenance actions;
- ○
- Is 10 years, ranging from 8 to 11 years, using simple linear regressions.
- ○
- Is 8 years, ranging from 3 to 12 years, using multiple linear regressions.
- According to the ABNT [28] guidelines, the design service life for painted surfaces must be at least 8 years. According to this standard, this period is associated with carrying out maintenance actions on the facade based on other technical and normative guidelines. In the sample analyzed, this normative guideline has been accomplished, but the users should be made aware of the need for early intervention in case unacceptable levels of degradation are reached.
- The average service life of painted surfaces after cleaning actions:
- ○
- Is 11 years, ranging from 9 to 12 years, using simple linear regressions.
- ○
- Is 9 years, ranging from 5 to 13 years, using multiple linear regressions.
- The average service life of painted surfaces after maintenance actions:
- ○
- Is around 11 years, ranging from 5 to 13 years until the last period of service life that precedes the end of its life cycle. This is because, after repainting the facades, a global degradation index equal to 0% is assumed for the full range of interventions.
- Therefore, based on the results obtained from the sample analyzed, the expected performance of painted surfaces through their life cycle can be illustrated as shown in Figure 4.
- More details of the maintenance services that were performed can be found in Petersen et al. [18].
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Degradation Condition | Stains | Cracking | Loss of Adhesion | |||
---|---|---|---|---|---|---|
1 | ka,n = 0.12 | 2.50 €/m2 | ka,n = 0.95 | 20.50 €/m2 | ka,n = 1.53 | 33.00 €/m2 |
2 | ka,n = 0.53 | 11.50 €/m2 | ka,n = 0.95 | 20.50 €/m2 | ka,n = 1.53 | 33.00 €/m2 |
3 | ka,n = 0.53 | 11.50 €/m2 | ka,n = 1.12 | 24.00 €/m2 | ka,n = 1.53 | 33.00 €/m2 |
4 | ka,n = 0.53 | 11.50 €/m2 | ka,n = 1.53 | 33.00 €/m2 | ka,n = 1.53 | 33.00 €/m2 |
Defect | Stains/Color Change | Cracking | Chalking | Loss of Adherence |
---|---|---|---|---|
ka,n | 0.25 | 1.00 | 1.00 | 1.50 |
Condition Level | Degradation Level | Renderings | Painted Surfaces |
---|---|---|---|
A | Level 0 | Sw ≤ 1% | Sw ≤ 1% |
B | Level 1 | 1% < Sw ≤ 5% | 1% < Sw ≤ 10% |
C | Level 2 | 5% < Sw ≤ 15% | 10% < Sw ≤ 20% |
D | Level 3 | 15% < Sw ≤ 30% | 20% < Sw ≤ 40% |
E | Level 4 | Sw > 30% | Sw > 40% |
- | Renderings | Painted Surfaces | |||
---|---|---|---|---|---|
Number of data | 79 | 86 | |||
Number of in-use constructions/places | 16 | 16 | |||
Without previous maintenance | 52 | 54 | |||
With previous maintenance | 27 | 32 | |||
Dark-colored facades | 25 | 25 | |||
Light-colored facades | 54 | 61 | |||
Close to pollution sources | 32 | 40 | |||
Far from pollution sources | 47 | 46 | |||
Obstructed from the sun | 11 | 17 | |||
Unobstructed from the sun | 68 | 69 | |||
North orientation | 15 | 20 | |||
South orientation | 20 | 20 | |||
East orientation | 20 | 21 | |||
West orientation | 24 | 25 | |||
- | Renderings | Painted surfaces | |||
Age (years) | Partial | Total | Partial | Total | |
Maximum | 21 | 59 | 21 | 59 | |
Average | 10 | 19 | 10 | 20 | |
Minimum | 1 | 1 | 3 | 3 | |
In relation to maintenance—Sw | Renderings | Painted surfaces | |||
Before maintenance services | Maximum | 38.70% | 55.83% | ||
Average | 14.09% | 23.16% | |||
Minimum | 2.15% | 5.90% | |||
After cleaning procedure | Maximum | 35.35% | 48.83% | ||
Average | 12.58% | 20.33% | |||
Minimum | 1.94% | 3.40% | |||
After cleaning, partial recovery of the renderings and repainting | Maximum | 26.50% | 0.00% | ||
Average | 7.34% | 0.00% | |||
Minimum | 0.45% | 0.00% |
Age | Renderings | Painted Surfaces | ||||
---|---|---|---|---|---|---|
Terminology | Service Life (years) | B | R2 | Service Life (years) | B | R2 |
Sw Before maintenance | 14 | 0.0139 | 0.8045 | 10 | 0.0206 | 0.8384 |
Sw Before maintenance (average) | 13 | 0.0157 | 0.8932 | 9 | 0.0210 | 0.9097 |
Sw Cleaning | 16 | 0.0123 | 0.8094 | 11 | 0.0181 | 0.8341 |
Sw Cleaning (average) | 13 | 0.0159 | 0.8975 | 0.0185 | 0.9132 | |
Sw After maintenance | 31 | 0.0065 | 0.5063 | - | - | - |
Sw After maintenance (average) | 27 | 0.0073 | 0.6093 | - | - | - |
Renderings | Painted Surfaces | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Linear Pattern (Sw = 20%) | Before Maintenance Services | After Cleaning Procedures | After Maintenance Services | Before Maintenance Services | After Cleaning Procedures | ||||||||||
Terminology | Service life | B | R2 | Service life | B | R2 | Service life | B | R2 | Service life | B | R2 | Service life | B | R2 |
Dark-colored facades | 12 | 0.1660 | 0.8662 | 13 | 0.014 | 0.8828 | 29 | 0.007 | 0.4254 | 8 | 0.0259 | 0.8580 | 9 | 0.022 | 0.8476 |
Light-colored facades | 15 | 0.0130 | 0.7671 | 17 | 0.011 | 0.7731 | 31 | 0.006 | 0.5337 | 11 | 0.0189 | 0.8572 | 12 | 0.016 | 0.8585 |
Close to pollution sources (<3 km) | 11 | 0.0185 | 0.9038 | 12 | 0.016 | 0.9023 | 22 | 0.009 | 0.7026 | 9 | 0.0221 | 0.9276 | 10 | 0.02 | 0.9400 |
Far from pollution sources (>3 km) | 20 | 0.0101 | 0.7538 | 22 | 0.009 | 0.7865 | 45 | 0.004 | 0.3594 | 11 | 0.0182 | 0.7535 | 12 | 0.016 | 0.7316 |
Obstructed from the sun | 14 | 0.0139 | 0.8012 | 16 | 0.012 | 0.7909 | 29 | 0.006 | 0.4416 | 10 | 0.0194 | 0.9480 | 11 | 0.018 | 0.9315 |
Unobstructed from the sun | 15 | 0.0136 | 0.7778 | 0.012 | 0.7936 | 39 | 0.005 | 0.5328 | 0.0207 | 0.8004 | 0.018 | 0.7980 | |||
North orientation | 16 | 0.0123 | 0.8615 | 18 | 0.011 | 0.8818 | 41 | 0.004 | 0.4775 | 10 | 0.0192 | 0.9205 | 11 | 0.018 | 0.9043 |
South orientation | 11 | 0.0174 | 0.7836 | 13 | 0.015 | 0.7896 | 26 | 0.007 | 0.4810 | 9 | 0.0214 | 0.8892 | 0.018 | 0.8917 | |
East orientation | 16 | 0.0126 | 0.8448 | 18 | 0.011 | 0.8528 | 29 | 0.007 | 0.5998 | 10 | 0.0205 | 0.7900 | 0.018 | 0.7718 | |
West orientation | 0.0122 | 0.7785 | 0.011 | 0.7828 | 31 | 0.006 | 0.5394 | 0.0199 | 0.7715 | 0.018 | 0.7728 |
Facade | Model | r | R2 | Adjusted R Square | Std. Error of the Estimate |
---|---|---|---|---|---|
Renderings | 1 | 0.930 | 0.865 | 0.860 | 0.06518 |
2 | 0.961 | 0.923 | 0.918 | 0.04998 | |
3 | 0.932 | 0.868 | 0.863 | 0.05781 | |
4 | 0.959 | 0.919 | 0.913 | 0.04597 | |
5 | 0.755 | 0.570 | 0.559 | 0.06867 | |
6 | 0.947 | 0.897 | 0.894 | 0.03362 | |
Painted surfaces | 7 | 0.942 | 0.888 | 0.884 | 0.08752 |
8 | 0.886 | 0.785 | 0.775 | 0.12165 | |
9 | 0.940 | 0.883 | 0.879 | 0.07903 | |
10 | 0.885 | 0.783 | 0.775 | 0.10783 |
- | Model | Variables | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | Collinearity Statistics | ||
---|---|---|---|---|---|---|---|---|---|
B | Std. Error | Beta | Tolerance | VIF | |||||
Renderings before maintenance | 1 | Partial age | 0.010 | 0.001 | 0.664 | 12.368 | 0.000 | 0.615 | 1.626 |
Pollution | 0.072 | 0.014 | 0.262 | 5.068 | 0.000 | 0.661 | 1.512 | ||
South | 0.056 | 0.017 | 0.163 | 3.375 | 0.001 | 0.758 | 1.319 | ||
2 | Total age | 0.005 | 0.000 | 0.690 | 14.459 | 0.000 | 0.457 | 2.188 | |
South | 0.056 | 0.013 | 0.161 | 4.327 | 0.000 | 0.755 | 1.325 | ||
Shadow | 0.065 | 0.016 | 0.138 | 3.920 | 0.000 | 0.835 | 1.198 | ||
Pollution | 0.036 | 0.012 | 0.132 | 3.080 | 0.003 | 0.567 | 1.764 | ||
Color | 0.023 | 0.011 | 0.075 | 2.184 | 0.032 | 0.885 | 1.130 | ||
Renderings after cleaning actions | 3 | Partial age | 0.009 | 0.001 | 0.668 | 12.583 | 0.000 | 0.615 | 1.626 |
Pollution | 0.064 | 0.013 | 0.262 | 5.124 | 0.000 | 0.661 | 1.512 | ||
South | 0.049 | 0.015 | 0.158 | 3.307 | 0.001 | 0.758 | 1.319 | ||
4 | Total age | 0.004 | 0.000 | 0.683 | 13.949 | 0.000 | 0.457 | 2.188 | |
South | 0.049 | 0.012 | 0.159 | 4.162 | 0.000 | 0.755 | 1.325 | ||
Shadow | 0.059 | 0.015 | 0.141 | 3.899 | 0.000 | 0.835 | 1.198 | ||
Pollution | 0.034 | 0.011 | 0.137 | 3.107 | 0.003 | 0.567 | 1.764 | ||
Color | 0.021 | 0.010 | 0.077 | 2.183 | 0.032 | 0.885 | 1.130 | ||
Renderings after maintenance | 5 | Partial age | 0.005 | 0.001 | 0.553 | 6.118 | 0.000 | 0.684 | 1.461 |
Pollution | 0.047 | 0.015 | 0.290 | 3.206 | 0.002 | 0.684 | 1.461 | ||
6 | Total age | 0.004 | 0.000 | 0.990 | 24.802 | 0.000 | 0.841 | 1.188 | |
North | −0.029 | 0.009 | −0.124 | −3.111 | 0.003 | 0.841 | 1.188 | ||
Painted surfaces before maintenance | 7 | Partial age | 0.017 | 0.001 | 0.767 | 15.795 | 0.000 | 0.574 | 1.743 |
Color | 0.093 | 0.019 | 0.195 | 4.946 | 0.000 | 0.871 | 1.148 | ||
Pollution | 0.049 | 0.018 | 0.130 | 2.777 | 0.007 | 0.615 | 1.625 | ||
8 | Total age | 0.006 | 0.001 | 0.589 | 8.974 | 0.000 | 0.608 | 1.646 | |
Color | 0.139 | 0.025 | 0.293 | 5.474 | 0.000 | 0.916 | 1.092 | ||
Shadow | 0.107 | 0.033 | 0.185 | 3.245 | 0.002 | 0.805 | 1.242 | ||
South | 0.071 | 0.031 | 0.134 | 2.290 | 0.025 | 0.767 | 1.303 | ||
Painted surfaces after cleaning actions | 9 | Partial age | 0.015 | 0.001 | 0.780 | 15.760 | 0.000 | 0.574 | 1.743 |
Color | 0.089 | 0.017 | 0.210 | 5.233 | 0.000 | 0.871 | 1.148 | ||
Pollution | 0.032 | 0.016 | 0.097 | 2.026 | 0.046 | 0.615 | 1.625 | ||
10 | Total age | 0.006 | 0.001 | 0.655 | 11.081 | 0.000 | 0.750 | 1.334 | |
Color | 0.131 | 0.023 | 0.310 | 5.803 | 0.000 | 0.918 | 1.089 | ||
Shadow | 0.090 | 0.029 | 0.176 | 3.095 | 0.003 | 0.808 | 1.238 |
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Petersen, A.; Silva, A.; González, M. Service Life Prediction of Painted Renderings Using Maintenance Data through Regression Techniques. Buildings 2023, 13, 785. https://doi.org/10.3390/buildings13030785
Petersen A, Silva A, González M. Service Life Prediction of Painted Renderings Using Maintenance Data through Regression Techniques. Buildings. 2023; 13(3):785. https://doi.org/10.3390/buildings13030785
Chicago/Turabian StylePetersen, André, Ana Silva, and Marco González. 2023. "Service Life Prediction of Painted Renderings Using Maintenance Data through Regression Techniques" Buildings 13, no. 3: 785. https://doi.org/10.3390/buildings13030785
APA StylePetersen, A., Silva, A., & González, M. (2023). Service Life Prediction of Painted Renderings Using Maintenance Data through Regression Techniques. Buildings, 13(3), 785. https://doi.org/10.3390/buildings13030785