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Andrea Fernandez Fonseca (Mathematics Dept., University of
Bath, UK)
| Speaker: |
Andrea Fernandez Fonseca
(Mathematics Dept., University of Bath, UK)
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| Date: |
Wednesday May 25, 2011
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| Title: |
Sharp-interface
model
for concrete carbonation: fast-reaction asymptotics
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Abstract
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There
is
a need to design durable concrete structures. The fundamental
understanding of deterioration phenomena is vital in doing this.
Concrete carbonation is one of the most common ways in which reinforced
concrete buildings can be damaged.
In this talk I will present a simple one dimensional model that
predicts concrete carbonation. I will show using a matched-asymptotic
approach that, in the limit of a fast bulk reaction, the PDE system
leads to sharp-interface models that correspond to different scaling in
the small parameter. The resulting models include the standard
one-phase and two-phase Stefan moving-boundary problems as well as a
micro-macro moving-boundary problem. Two conceptually different regimes
for the carbon dioxide diffusivity will be discussed. In addition, I
show numerical results confirming the asymptotic analysis. This is
joint work with Jonathan Evans (Bath).
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