Identification of the corrosion in cement composites by means of statistical modeling
Pages 87-97
The analysis of a large set of samples by means of several different methods - petrography, optical microscopy, IR- and Raman spectroscopy, porosimetry, DSC - is very common in practice of material science. After carrying out all the experiments, the groups of researchers obtain a wealth of raw data. The required final result, though, in most cases is to answer several - or even one - question concerning the state of the construction. Obviously, the transition from empirical information to the final decision can be done by means of non formal operations, for example expert appraisal. However, even for most intelligent experts it is quite difficult to perform such an evaluation. In order to condense the raw experimental data we propose simple and formal procedure. The offered method consists of several steps. The first step is to arrange data in such a way, that the rectangular matrix (of size M by N, where M and N are the number of samples and methods, respectively) is formed. This matrix can be called matrix of defectiveness. Then, for all pairs of columns of the mentioned matrix, we compute the Pearson's product-moment (correlation) coefficient; the result is the symmetric N by N matrix of accordance of methods. By means of summation over the rows of the later matrix we obtain information concerning the mutual correspondence of the methods - vector of significance (third step). And finally, at the fourth step, we compute the M scalar products of vector of significance and row of the matrix of defectiveness. The M obtained values are subject to further application by the descriptive statistics, and on the basis of this statistics the final decision can be made. The offered method was successfully applied in the practical task of identification of alcali-silica reaction.
DOI: 10.22227/1997-0935.2014.4.87-97
- Stanton T.E. Expansion of Concrete through Reaction between Cement and Aggregate. Proceedings of American Society of Civil Engineering. 1940, no. 10, pp. 1781—1811.
- Korolev E.V., Smirnov V.A., Zemlyakov A.N. Identifikatsiya novoobrazovaniy, obuslovlennykh shcheloche-silikatnoy reaktsiey [Identification of Alcali-Silica Reaction Outcomes]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 6, pp. 109—116.
- Diamond S. Alkali Reactions in Concrete Pore Solutions Effects. Proceedings of the 6th International Conference “Alkalis in Concrete”. 1983, pp. 155—166.
- Ferraris C.F. Alkali-Silica Reaction and High Performance Concrete. NIST, Building and Fire Research Laboratory, 1995, 24 p.
- Pan J.W., Feng Y.T., Wang J. T., Sun Q.C., Zhang C.H., Owen D.R.J. Modeling of Alkali-Silica Reaction in Concrete: a Review. Frontiers of Structural and Civil Engineering. 2012, no. 6, pp. 1—8. DOI: 10.1007/s11709-012-0141-2.
- Swamy R.N. Alkali-Silica Reaction in Concrete. New York, Blackie and Son, 1992, 348 p.
- Leger P., Cote P., Tinawi R. Finite Element Analysis of Concrete Swelling due to Alkali-Aggregate Reactions in Dams. Computers & Structures. 1996, vol. 60, no. 4, pp. 601—611. DOI: 10.1016/0045-7949(95)00440-8.
- Multon S., Toutlemonde F. Effect of Applied Stresses on Alkali-Silica Reaction-Induced Expansions. Cement and Concrete Research. 2006, vol. 36, no.5, pp. 912—920. DOI: 10.1016/j.cemconres.2005.11.012.
- Alnaggar M., Cusatis M., Di Luzio G. A Discrete Model for Alkali-Silica-Reaction in Concrete. Proceedings of the 8th International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS). 2013, pp. 1315—1326.
- Alnaggar M., Cusatis M., Di Luzio G. Lattice Discrete Particle Modeling (LDPM) of Alkali-Silica Reaction (ASR) Deterioration of Concrete Structures. Cement and Concrete Composites. 2013, vol. 41, pp. 45—59. DOI: 10.1016/j.cemconcomp.2013.04.015.
- Islam M.S., Akhtar S.A. Critical Assessment to the Performance of Alkali-Silica Reaction (ASR) in Concrete. Canadian Chemical Transactions. 2003, vol. 1, no. 4, pp. 253—266. DOI: 10.13179/canchemtrans.2013.01.04.0026.
- Bock R.A. Decomposition Methods in Inorganic and Organic Chemistry. Verlag Chemistry, 1972, 232 p.
- Lundell G.E.F., Bright H.A., Hoffman J.I. Applied Inorganic Analysis with Special Reference to Analysis of Metals, Minerals, and Rocks. New York, John Wiley and Sons, 1953, 1034 p.
- Wilcox R. Introduction to Robust Estimation and Hypothesis Testing. New York, Elsevier, 2012, 690 p.
- Montgomery D.C., Runger G.C. Applied Statistics and Probability for Engineers. New York, Wiley, 2010, 792 p.
- Ben Haha M. Mechanical Effects of Alkali Silica Reaction in Concrete Studied by Sem-Image Analysis. PhD Thesis. Lausanne, EPFL, 2006, 232 p. DOI: 10.5075/epfl-thesis-3516.