Русский
English
The article outlines the formulation and solution of the problem of physical and mathematical modeling of non-stationary processes of mass transfer of chemical components of the structure of reinforced concrete enclosing structures under the influence of factors (chemical, biological) of the operating environment. The theory of operational calculus (integral transformations) is used as a mathematical apparatus for jointly solving Cauchy and Laplace problems. To solve the problem and study the processes considered in the article, a dimensionless plate with a dimensionless concentration of aggressive components on its surface was chosen as an idealized model of the enclosing structure. Carbon dioxide, dissolved in the liquid and penetrating with it into the material of the structure through pores and microcracks, was chosen as an aggressive component acting on the enclosing structure. The final solutions of the considered boundary value problems are presented for the case of constant values of the kinetic coefficients of external and internal mass transfer. The results presented in this work can be used in the development of software for predicting the strength characteristics of enclosing structures operating in aggressive environments. Thanks to the obtained solutions to the problems of non-stationary mass transfer processes, using the example of the consequences of carbon dioxide corrosion, it is possible to consider the time period of the life cycle of buildings and structures, the timing of repair work with greater accuracy.
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[15] Zhu Q.-H., Zhang L.-Z., Min X.-M., Yu Y.-X., Zhao X.-F., Li J.-H. Comb-Typed Polycarboxylate Superplasticizer Equiped with Hyperbranched Polyamide Teeth. Colloids Surfaces. 2018. 553. P. 272 – 277.
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[20] German M., Pamin J. Numerical Simulation of Non-Uniformly Distributed Corrosion in Reinforced Concrete Cross-Section. Materials (14). 3975. 2021. DOI:10.3390/ma14143975
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[22] Wang C., Roy A., Silberschmidt V.V., Chen Z. Shear strength and fracture toughness of carbon fibre/epoxy interface: effect of surface treatment. Mechanics of Advanced Materials and Modern Processes. 2017. 3 (15). P. 1 – 32.
[23] Kayumov R., Sulejmanov A., Strakhov D. Model of Degradation of Composite Materials of Building Structure’s Load-Bearing Elements. STCCE 2021. Lecture Notes in Civil Engineering 169. by Vatin N. (Springer. Cham. 2021) P. 239 – 249.
[24] Gawin D., Koniorczyk M., Pesavento F. Modelling of hydro-thermo-chemo-mechanical phenomena in building materials. Bulletin of the Polish Academy of Sciences. 2013. 61 (1). P. 51 – 63. DOI:10.2478/bpasts-2013-0004
[25] Kaźmierczak H. The dynamic characteristics of mechanical structures destruction. Journal of Vibroengineering. 18(8). 2265. 2016. P. 5230 – 5238. DOI:10.21595/jve.2016.17717
[26] Alnedawi A. M Ali, Riyadh A.A., Nepal K.P. Neural network-based model for prediction of permanent deformation of unbound granular materials. Journal of Rock Mechanics and Geotechnical Engineering. 2019. 11 (6). P. 1231 – 1242.
[27] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Konovalova V.S., Evsyakov A.S. Mathematical modeling of the colmatation of concrete pores during corrosion. Magazine of Civil Engineering. 2018. 7 (83). P. 198 – 207.
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[29] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Krasilnikova I.A. Research of the engagement of liquid aggressive environment and concrete. Lecture Notes in Networks and Systems. 2022. 403 LNNS. P. 1362 – 1370.
[30] Zhu X., Meng Z., Liu Y., Xu L., Chen Z. Entire Process Simulation of Corrosion due to the Ingress of Chloride Ions and CO2 in Concrete. Advances in Materials Science and Engineering. 2018. 2018. P. 9254865. DOI: 10.1155/2018/9254865.
[31] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Narmaniya B.E. Formulation of mathematical problem describing physical and chemical processes at concrete corrosion. International Journal for Computational Civil and Structural Engineering. 2017. 13 (2). P. 45 – 49.
[32] Seljaev V.P., Seljaev P.V. Physico-chemical foundations of fracture mechanics of cement composits. Saransk: Mord.un-t. 2018. P. 220.
[33] Fedosov S.V., Stepanova V.F., Rumyantseva V.E, Kotlov V.G., Stepanov A.Ju., Konovalova V.S. Corrosion of building materials. Problems. Ways to solve. M.: ASV. 2022. P. 400.
[34] Fedosov S.V., Loginova S.A. Mathematical model of concrete biological corrosion. Magazine of Civil Engineering. 2020. 99 (7). 9906. DOI: 10.18720/MCE.99.6.
[35] Fedosov S.V., Rumyantseva V.E., Konovalova V.S., Loginova S.A. Mathematical Model of Mass Transfer Processes in Biological Corrosion of Cement. IOP Conference Series: Materials Science and Engineering. 869 (5). 052059. 2020. DOI:10.1088/1757-899X/869/5/052059.
[36] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Krasilnikova I.A. Mathematical Modeling of Mass Transfer in the “Cement Concrete-Liquid Medium” System, Limited by the Internal Diffusion of the Transferred Component at Liquid Corrosion of the First Type. ChemChemTech. 2022. 65 (7). P. 61 – 70.
[37] Wang Z., Maekawa K., Takeda H., Gong F. Numerical simulation and experiment on the coupled effects of macro-cell corrosion and multi-ion equilibrium with pseudo structural concrete. Cement and Concrete Composites. 2021. 123. P. 104181. https://doi.org/10.1016/j.cemconcomp.2021.104181
[38] Korpusov M.O. Lectures on parabolic equations of the second type. M.: MSU, 2023, P. 292.
[2] Rahimov R.Z., Rahimova N.R. History of science and technology. SPb.: Lan, 2022, P. 528.
[3] Technological regulations for the safety of buildings and structures: Federal law [Accepted State Duma December 23, 2009. 384.
[4] Fedosov S.V., Alojan R.M., Ibragimov A.N., Gnedina L.Ju., Aksakovskaja L.N. Freezing of wet soils, bases and foundations. M.: ASV. 2005. 34406. P. 277.
[5] Andreev V.S., Preobrazhenskij A.B. Roofs. Attics. M..: Lada. 2011. P 256.
[6] Ershov M.N., Lapidus A.A., Telichenko V.I. Technological processes in construction. M.: ASV. 2016. Vol. 5. P 128. Vol. 8. P. 152.
[7] Kartashov Je.M. Analytical methods in the theory of thermal conductivity of solids. M.: Vysshaja shkola. 2001. P. 550.
[8] Fedosov S.V. Heat and mass transfer in technological processes of the construction industry. Iv.: PresSto. 2010. P. 364.
[9] Fedosov S.V., Rumjanceva V.E., Krasil'nikov I.V. Methods of the theory of mathematical physics in applications and problems of concrete corrosion in liquid aggressive media.M.: ASV. 2021. P. 244.
[10] Fedosov S.V., Bakanov M.O., Fedoseev V.N. Methods of the theory of thermal conductivity in applications to problems of modeling processes of drying and heat treatment of solid materials. Moscow-Vologda: Infra-Inzhenerija. 2024. P. 212. DOI:10.22213/2410-9304-2019-4-88-93
[11] Komissarov Ju.A., Gordeev L.S., Vent O.P. Processes and apparatus of chemical technologies.M.: Yurajt. 2018. P. 227.
[12] Barbosa W., Ramalho R.D., Portella K.F. Influence of Gypsum Fineness in the First Hours of Cement Paste: Hydration Kinetics and Rheological Behavior. Construct. Building Mater. 2018. 184. P. 304 – 310.
[13] Lehner P., Konečný P. Comparison of Material Properties of SCC Concrete with Steel Fibres Related to Ingress of Chlorides. Crystals. 2020. 10 (3). P. 220.
[14] Wang X.-Y., Luan Y. Modeling of Hydration, Strength Development, and Optimum Combinations of Cement-Slag-Limestone Ternary Concrete. International Journal of Concrete Structures and Materials. 2018. 12 (2). P. 12.
[15] Zhu Q.-H., Zhang L.-Z., Min X.-M., Yu Y.-X., Zhao X.-F., Li J.-H. Comb-Typed Polycarboxylate Superplasticizer Equiped with Hyperbranched Polyamide Teeth. Colloids Surfaces. 2018. 553. P. 272 – 277.
[16] Zhao L., Qin T., Zhang J., Chen Y. 3D Gradual Material Degradation Model for Progressive Damage Analyses of Unidirectional Composite Materials. Mathematical Problems in Engineering. 2015 (5). P. 1 – 11. DOI:10.1155/2015/145629
[17] Verma S.K., Bhadauria S.S., Akhtar S. Probabilistic Evaluation of Service Life for Reinforced Concrete Structures. Chinese Journal of Engineering. 2014. (4). P. 1 – 8. DOI:10.1155/2014/648438
[18] Bastidas-Arteaga E. Reliability of reinforced concrete structures subjected to corrosion-fatigue and climate change. International journal of concrete structures and materials. 2018. (10). P. 10.
[19] Jia Y., Liu G., Gao Y., Pei J., Zhao Y., Zhang J. Entire Process Simulation of Corrosion due to the Ingress of Chloride Ions and CO2 in Concrete. Advances in Materials Science and Engineering. P. 303 – 313. DOI:10.1155/2018/9254865
[20] German M., Pamin J. Numerical Simulation of Non-Uniformly Distributed Corrosion in Reinforced Concrete Cross-Section. Materials (14). 3975. 2021. DOI:10.3390/ma14143975
[21] Chernyshov Е.M., Fedosov S.V., Rumyantseva V.E. Development of Methods for Predicting the Durability of Building Structures Based on the Development of the Theory and Models of Concrete Corrosion Taking into Account the Phenomena of Heat and Mass Transfer and the Formation of Gradient States. Academia. Architecture and construction. 2023. 1. P. 89 – 100. DOI: 10.22337/2077-9038-2023-1-89-100.
[22] Wang C., Roy A., Silberschmidt V.V., Chen Z. Shear strength and fracture toughness of carbon fibre/epoxy interface: effect of surface treatment. Mechanics of Advanced Materials and Modern Processes. 2017. 3 (15). P. 1 – 32.
[23] Kayumov R., Sulejmanov A., Strakhov D. Model of Degradation of Composite Materials of Building Structure’s Load-Bearing Elements. STCCE 2021. Lecture Notes in Civil Engineering 169. by Vatin N. (Springer. Cham. 2021) P. 239 – 249.
[24] Gawin D., Koniorczyk M., Pesavento F. Modelling of hydro-thermo-chemo-mechanical phenomena in building materials. Bulletin of the Polish Academy of Sciences. 2013. 61 (1). P. 51 – 63. DOI:10.2478/bpasts-2013-0004
[25] Kaźmierczak H. The dynamic characteristics of mechanical structures destruction. Journal of Vibroengineering. 18(8). 2265. 2016. P. 5230 – 5238. DOI:10.21595/jve.2016.17717
[26] Alnedawi A. M Ali, Riyadh A.A., Nepal K.P. Neural network-based model for prediction of permanent deformation of unbound granular materials. Journal of Rock Mechanics and Geotechnical Engineering. 2019. 11 (6). P. 1231 – 1242.
[27] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Konovalova V.S., Evsyakov A.S. Mathematical modeling of the colmatation of concrete pores during corrosion. Magazine of Civil Engineering. 2018. 7 (83). P. 198 – 207.
[28] Fedosov S.V., Roumyantseva V.E., Krasilnikov I.V., Konovalova V.S. Physical and mathematical modelling of the mass transfer process in heterogeneous systems under corrosion destruction of reinforced concrete structures. IOP Conference Series: Materials Science and Engineering. 2018. P. 012039.
[29] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Krasilnikova I.A. Research of the engagement of liquid aggressive environment and concrete. Lecture Notes in Networks and Systems. 2022. 403 LNNS. P. 1362 – 1370.
[30] Zhu X., Meng Z., Liu Y., Xu L., Chen Z. Entire Process Simulation of Corrosion due to the Ingress of Chloride Ions and CO2 in Concrete. Advances in Materials Science and Engineering. 2018. 2018. P. 9254865. DOI: 10.1155/2018/9254865.
[31] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Narmaniya B.E. Formulation of mathematical problem describing physical and chemical processes at concrete corrosion. International Journal for Computational Civil and Structural Engineering. 2017. 13 (2). P. 45 – 49.
[32] Seljaev V.P., Seljaev P.V. Physico-chemical foundations of fracture mechanics of cement composits. Saransk: Mord.un-t. 2018. P. 220.
[33] Fedosov S.V., Stepanova V.F., Rumyantseva V.E, Kotlov V.G., Stepanov A.Ju., Konovalova V.S. Corrosion of building materials. Problems. Ways to solve. M.: ASV. 2022. P. 400.
[34] Fedosov S.V., Loginova S.A. Mathematical model of concrete biological corrosion. Magazine of Civil Engineering. 2020. 99 (7). 9906. DOI: 10.18720/MCE.99.6.
[35] Fedosov S.V., Rumyantseva V.E., Konovalova V.S., Loginova S.A. Mathematical Model of Mass Transfer Processes in Biological Corrosion of Cement. IOP Conference Series: Materials Science and Engineering. 869 (5). 052059. 2020. DOI:10.1088/1757-899X/869/5/052059.
[36] Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Krasilnikova I.A. Mathematical Modeling of Mass Transfer in the “Cement Concrete-Liquid Medium” System, Limited by the Internal Diffusion of the Transferred Component at Liquid Corrosion of the First Type. ChemChemTech. 2022. 65 (7). P. 61 – 70.
[37] Wang Z., Maekawa K., Takeda H., Gong F. Numerical simulation and experiment on the coupled effects of macro-cell corrosion and multi-ion equilibrium with pseudo structural concrete. Cement and Concrete Composites. 2021. 123. P. 104181. https://doi.org/10.1016/j.cemconcomp.2021.104181
[38] Korpusov M.O. Lectures on parabolic equations of the second type. M.: MSU, 2023, P. 292.
Fedosov S.V., Lapidus A.A., Narmaniya B.E., Ayzatullin M.M. Cauchy problem for modeling of unsteady mass transfer processes in an unbounded plate by the integral Laplace transform method. Construction Materials and Products. 2024. 7 (5). 4. https://doi.org/10.58224/2618-7183-2024-7-5-4