Probabilistic analysis of the evolution of degradation of natural stone claddings applying Markov chains
Abstract
The service life prediction models intend to extrapolate the future behaviour of building elements, anticipating the instant at which an intervention is required. Markov chains can be used to assess the future condition of the construction components and are applied in this study to model the service life of stone claddings (directly adhered to the substrate), based on visual inspections of buildings in service conditions. The degradation of stone claddings is evaluated using a discrete scale with five condition levels. In this study the probability of transition from degradation conditions and the time spent in each of these conditions are evaluated. This study also allows a better understanding of the influence of the exposure conditions on the evolution of degradation of the claddings under analysis.
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References
Balaras, A., Droutsa, K., Dascalaki, E., Kontoyiannidis S. (2005) “Deterioration of European apartment buildingsâ€, Energy and Buildings, Vol. 37, No. 5, pp. 515-527.
Basso, N., Garavaglia, E., Sgambi, L. (2012) “Selective maintenance planning based on a Markovian approachâ€, IALCCE - International Association for life-cycle Civil Engineering, 3rd International Symposium on Life-Cycle Civil Engineering, Vienna, Austria, pp. 435-441.
Carrington, P.J., Scott, J., Wasserman, S. (eds.) (2005) “Models and methods in social network analysis†(New York, USA, Cambridge University Press).
Fletcher, R., Powell, M.J.D. (1963) “A rapidly convergent descent method for minimizationâ€, Computer Journal, V. 6, pp. 163-168.
Frangopol, D.M., Kallen, M.-J., Noortwijk, J.M.V. (2004) “Probabilistic models for life-cycle performance of deteriorating structures: review and future directionsâ€, Progress in Structural Engineering and Materials, Vol. 6, No. 4, pp. 197-212.
Higham, D., Higham, N. (2005) “MATLAB guide†(Philadelphia, USA, Society for Industrial Mathematics).
Kalbfleisch, J.D., Lawless, J.F. (1985) “The analysis of panel data under a Markov assumptionâ€, Journal of the American Statistical Association, Vol. 80, No. 392, pp. 863-871.
Koch, A., Siegesmund, S. (2004) “The combined effect of moisture and temperature on the anomalous expansion behaviour of marbleâ€, Environmental Geology, Vol. 46, No. 3-4, pp. 350-363.
Moser, K. (2003) “Engineering design methods for service life planning - State of the artâ€, International Workshop on Management of Durability in the Building Process, Politecnico di Milano, Milan, Italy, paper 40.
Neves, L. C., Frangopol, D. M., Cruz, P. J. S. (2006) “Lifetime multi-objective optimization of maintenance of existing steel structuresâ€, 6th International Symposium Steel Bridges, European Convention for Construction Steelwork, Prague, Czech Republic, pp. 206-215.
Schouenborg, B., Grelk, B., Malaga, K. (2007) “Testing and assessment of marble and limestone (TEAM) - Important results from a large European research project on cladding panelsâ€, ASTM International, Vol. 4, No. 5, pp. 10-22.
Shohet, I., Rosenfeld, Y., Puterman, M., Gilboa, E. (1999) “Deterioration patterns for maintenance management - a methodological approachâ€, 8th DBMC, Conference on Durability of Building Materials and Components; Ottawa, Canada, pp.1666-1678.
Silva, A., Brito, J. de, Gaspar, P. L. (2012) “Application of the factor method to maintenance decision support for stone claddingâ€, Automation in Construction, Vol. 22, pp. 165-174.
Straub, A. (2003) “Using a condition-dependent approach to maintenance to control costs and performancesâ€, Facilities Management, Vol. 1, No. 4, pp. 380-395.
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