Sharp-interface models for concrete carbonation

J D Evans, Andrea Fernandez

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate the fast-reaction asymptotics for a one-dimensional reaction-diffusion (RD) system describing the penetration of the carbonation reaction in concrete. The technique of matched-asymptotic expansions is used to show that the RD system leads to two distinct classes of limiting sharp-interface models. We explore three conceptually different diffusion regimes for the effective diffusivities of the driving chemical species. These result in one-phase and two-phase generalised Stefan moving-boundary problems with a nonstandard two-scale (micro-macro) moving-boundary problem – the main result of the paper
Original languageEnglish
Title of host publicationAIP Conference Proceedings
Subtitle of host publicationNumerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics
PublisherAmerican Institute of Physics
Pages835-838
Number of pages4
Volume1479
ISBN (Print)9780735410916
DOIs
Publication statusPublished - 2012
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Greece, Kos , Greece
Duration: 19 Sep 201225 Sep 2012

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
CountryGreece
CityKos
Period19/09/1225/09/12

Fingerprint

Moving Boundary Problem
Reaction-diffusion System
Matched Asymptotic Expansions
One-dimensional System
Diffusivity
Penetration
Limiting
Distinct
Model
Class

Cite this

Evans, J. D., & Fernandez, A. (2012). Sharp-interface models for concrete carbonation. In AIP Conference Proceedings: Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics (Vol. 1479, pp. 835-838). American Institute of Physics. https://doi.org/10.1063/1.4756268

Sharp-interface models for concrete carbonation. / Evans, J D; Fernandez, Andrea.

AIP Conference Proceedings: Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. Vol. 1479 American Institute of Physics, 2012. p. 835-838.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Evans, JD & Fernandez, A 2012, Sharp-interface models for concrete carbonation. in AIP Conference Proceedings: Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. vol. 1479, American Institute of Physics, pp. 835-838, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012, Kos , Greece, 19/09/12. https://doi.org/10.1063/1.4756268
Evans JD, Fernandez A. Sharp-interface models for concrete carbonation. In AIP Conference Proceedings: Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. Vol. 1479. American Institute of Physics. 2012. p. 835-838 https://doi.org/10.1063/1.4756268
Evans, J D ; Fernandez, Andrea. / Sharp-interface models for concrete carbonation. AIP Conference Proceedings: Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. Vol. 1479 American Institute of Physics, 2012. pp. 835-838
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