Modelowanie czasu inicjacji korozji zbrojenia z zastosowaniem arytmetyki przedziałowej

• Autorzy: Krykowski T.

Warianty tytułu

EN

Modeling of time of reinforcement corrosion initiation with the application of interval arithmetic

• Języki publikacji: PL

Abstrakty

EN

In this paper, the application of interval arithmetic in the affine formulation to the determination of time to initialization of corrosion cracking of reinforced concrete structures was formulated. The calculations ware made with the use of the incremental FEM formulation (backward Euler scheme) and the library of numerical procedures for the interval-affine computations INTALB.

Słowa kluczowe

PL

arytmetyka przedziałowa; chlorki; dyfuzja; korozja zbrojenia

EN

interval arithmetic; chlorides; diffusion; corrosion of reinforcement

• Wydawca: Komisja Inżynierii Budowlanej Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Roczniki Inżynierii Budowlanej
• Rocznik: 2017
• Tom: z. 17
• Strony: 43--52
• Opis fizyczny: Bibliogr. 22 poz., tab., wykr.

Twórcy

autor

Krykowski T.

• Politechnika Śląska, Wydział Budownictwa, Gliwice, Polska

Bibliografia

• [1] Alonso, C., Andrade, C., Castellote, M., Castro, P.: Chloride Threshold Values to Depassivate Reinforcing Bars Embedded in a Standardized OPC Mortar, Cement and Concrete Research, 30, 7 (2000), 1047-1055.
• [2] Angst, U., Elsener, B., Larsen, C.K., Vennesland, Ø.: Critical Chloride Content in Reinforced Concrete – A Review, Cement and Concrete Research, 39, 12 (2009), 1122-1138.
• [3] Bažant, Z., Xi, Y.: Modeling Chloride Penetration in Saturated Concrete, Journal of Materials in Civil Engineering, 11, 1 (1999), 58-65.
• [4] Černý R., Rovnaníková P.: Transport processes in concrete, Spon Press, London-New York, 2002.
• [5] Chen S., Lian H., Yang X.: Interval Static Displacement Analysis for Structures with Interval Parameters, International Journal for Numerical Methods in Engineering, 53, 2 (2002), 393-407.
• [6] Dao, L.T.N., Kim, S.H., Ann, K.Y.: Modeling Steel Corrosion in Concrete Structures – Part 1: A New Inverse Relation Between Current Density and Potential for the Cathodic Reaction, International Journal of Electrochemical Science, 5, 3 (2010), 302-313.
• [7] Dao, T.N.L., Dao, V.T.N., Kim, S.H., Ann, K.Y.: Modeling Steel Corrosion in Concrete Structures – Part 2. A Unified Adaptive Finite Element Model for Simulation of Steel Corrosion, Int. J. Electrochem. Sci., 5, 3 (2010), 314-326.
• [8] De Figueiredo, L.H., Stolfi, J.: Affine Arithmetic: Concepts and Applications, Numerical Algorithms, 37, 1-4 (2004), 147-158.
• [9] Degrauwe, D., Lombaert, G., De Roeck, G.: Improving Interval Analysis in Finite Element Calculations by Means of Affine Arithmetic, Computers and Structures, 88, 3-4 (2010), 247-254.
• [10] Engelund, S., Sørensen, J. D.: A Probabilistic Model for Chloride-Ingress and Initiation of Corrosion in Reinforced Concrete Structures, Structural Safety, 20, 1 (1998), 69-89.
• [11] Glass, G.K., Buenfeld, N.R.: The Presentation of the Chloride Threshold Level for Corrosion of Steel in Concrete, Corrosion Science, 39, 5 (1997), 1001-1013.
• [12] Hassan, El-O.: Hansen’s Generalized Interval Arithmetic Realized in C-XSC, Bergische Universität Wuppertal, 2006.
• [13] Yong, K, A., Song, H-W.: Chloride Threshold Level for Corrosion of Steel in Concrete, Corrosion Science, 49, 11 (2007), 4113-4133.
• [14] Koniorczyk, M., Gawin, D.: Numerical Modelling of Coupled Heat, Moisture and Salt Transport in Porous Materials, Computer Assisted Mechanics and Engineering Sciences, 13, 1 (2006), 565-574.
• [15] Manson, G.: Calculating Frequency Response Functions for Uncertain Systems Using Complex Affine Analysis, Journal of Sound and Vibration, 288, 3 (2005), 487-521.
• [16] Moore, R.E.: Interval Analysis, Mathematics of Computation, 22, 101 (1968), 219-222.
• [17] Pradhan, B., Bhattacharjee, B.: Rebar Corrosion in Chloride Environment, Construction and Building Materials, 25, 5 (2011), 2565-2575.
• [18] Rump, S.M., Kashiwagi, M.: Implementation and Improvements of Affine Arithmetic, Nonlinear Theory and its Applications, IEICE, 2, 3 (2015), 1101-1119.
• [19] Saetta, A., Scotta, R., Vitaliani, R.: Mechanical Behavior of Concrete Under Physical-Chemical Attacks, Journal of Engineering Mechanics, 124, 10 (1998), 1100-1109.
• [20] Stolfi, J., de Figueiredo, L.: Self-Validated Numerical Methods and Applications, Proc. of the Monograph for the 21st Brazilian Mathematics Colloquium, Citeseer, 1997.
• [21] Tutti, K.: Corrosion of steel in concrete, Swedish Cement and Concrete Research Institute, 1982.
• [22] Witek, H.: Metoda rozmytych elementów brzegowych w analizie konstrukcji budowlanych o parametrach niepewnych, Silesian University of Technology, Praca doktorska, Promotor: Jerzy Skrzypczyk, 2005.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).