Sharp-interface models for concrete carbonation

J D Evans; Andrea Fernandez

doi:10.1063/1.4756268

Sharp-interface models for concrete carbonation

J D Evans, Andrea Fernandez

Department of Mathematical Sciences

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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 language	English
Title of host publication	AIP Conference Proceedings
Subtitle of host publication	Numerical analysis and applied mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics
Publisher	American Institute of Physics
Pages	835-838
Number of pages	4
Volume	1479
ISBN (Print)	9780735410916
DOIs	https://doi.org/10.1063/1.4756268
Publication status	Published - 2012
Event	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Greece, Kos , Greece Duration: 19 Sept 2012 → 25 Sept 2012

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/Territory	Greece
City	Kos
Period	19/09/12 → 25/09/12

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10.1063/1.4756268

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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 or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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

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AB - 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

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BT - AIP Conference Proceedings

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012

Y2 - 19 September 2012 through 25 September 2012

ER -

Sharp-interface models for concrete carbonation

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