A mathematical model for the kinetics of the alkali–silica chemical reaction
Starting from the chain of three chemical reactions which characterize the alkali–silica reaction (ASR), this paper attempts to develop a mathematical framework through which the reaction kinetics can be better understood. A petrographic support is given to better understand the physical implication...
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| Published in | Cement and concrete research Vol. 68; pp. 184 - 195 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0008-8846 1873-3948 |
| DOI | 10.1016/j.cemconres.2014.10.021 |
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| Abstract | Starting from the chain of three chemical reactions which characterize the alkali–silica reaction (ASR), this paper attempts to develop a mathematical framework through which the reaction kinetics can be better understood. A petrographic support is given to better understand the physical implications of these equations, and to provide a reasonable support for the choice of the reaction rates.
First an analytical solution is sought. Though one was not found, three new conservation laws were derived. Then a numerical solution is applied, and important observations are made. First, and foremost, the role of water is confirmed, and then the outcome of the reaction when different concentrations of alkali and silica are used is derived. Finally, the temporal evolution of the expansive gel formation is contrasted with both macro-kinetics model, and diffusion based meta-model for the concrete expansions are compared. |
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| AbstractList | Starting from the chain of three chemical reactions which characterize the alkali-silica reaction (ASR), this paper attempts to develop a mathematical framework through which the reaction kinetics can be better understood. A petrographic support is given to better understand the physical implications of these equations, and to provide a reasonable support for the choice of the reaction rates. First an analytical solution is sought. Though one was not found, three new conservation laws were derived. Then a numerical solution is applied, and important observations are made. First, and foremost, the role of water is confirmed, and then the outcome of the reaction when different concentrations of alkali and silica are used is derived. Finally, the temporal evolution of the expansive gel formation is contrasted with both macro-kinetics model, and diffusion based meta-model for the concrete expansions are compared. Starting from the chain of three chemical reactions which characterize the alkali–silica reaction (ASR), this paper attempts to develop a mathematical framework through which the reaction kinetics can be better understood. A petrographic support is given to better understand the physical implications of these equations, and to provide a reasonable support for the choice of the reaction rates. First an analytical solution is sought. Though one was not found, three new conservation laws were derived. Then a numerical solution is applied, and important observations are made. First, and foremost, the role of water is confirmed, and then the outcome of the reaction when different concentrations of alkali and silica are used is derived. Finally, the temporal evolution of the expansive gel formation is contrasted with both macro-kinetics model, and diffusion based meta-model for the concrete expansions are compared. |
| Author | Martin, Ruth A. Saouma, Victor E. Katayama, Tetsuya Hariri-Ardebili, Mohammad A. |
| Author_xml | – sequence: 1 givenname: Victor E. surname: Saouma fullname: Saouma, Victor E. email: saouma@colorado.edu organization: Department of Civil Engineering, University of Colorado, Boulder, United States – sequence: 2 givenname: Ruth A. surname: Martin fullname: Martin, Ruth A. organization: Department of Applied Mathematics, University of Colorado, Boulder, United States – sequence: 3 givenname: Mohammad A. surname: Hariri-Ardebili fullname: Hariri-Ardebili, Mohammad A. organization: Department of Civil Engineering, University of Colorado, Boulder, United States – sequence: 4 givenname: Tetsuya surname: Katayama fullname: Katayama, Tetsuya organization: Department of Instrumental Analysis, Taiheiyo Consultant Co. Ltd, Sakura, Japan |
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| Cites_doi | 10.1016/j.cemconres.2012.01.004 10.1016/j.cemconcomp.2005.03.005 10.1016/j.cemconres.2005.11.012 10.1016/0008-8846(92)90118-F 10.1016/S0008-8846(02)00766-4 10.1016/S0008-8846(02)01001-3 10.1016/S0008-8846(99)00270-7 10.1016/j.cemconres.2009.07.024 10.1016/j.ijsolstr.2012.07.015 10.1016/S0008-8846(97)00261-5 10.1016/j.cemconres.2007.06.008 10.1016/0008-8846(81)90003-X |
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| SubjectTerms | Cements Chemical reactions Concretes Diffusion Evolution Long-Term Performance Mathematical analysis Mathematical models Petrography Reaction kinetics Reaction rate Temporal logic |
| Title | A mathematical model for the kinetics of the alkali–silica chemical reaction |
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