caa a22 4500 606167005 CHVBK 20210128100700.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10665-014-9743-0 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9743-0 Nikolopoulos Christos Department of Mathematics, University of the Aegean, Karlovasi, 83200, Samos, Greece aut Macroscopic models for a mushy region in concrete corrosion [Elektronische Daten] [Christos Nikolopoulos] Macroscopic models for the corrosion of concrete due to sulphation, describing the formation of a mushy region, are derived and studied by further expanding previous related studies. These models are derived from averaging using the multiple-scales method applied on microscopic Stefan-type problems to capture the effects of the microscopic transformation of calcite into gypsum. The resulting macroscopic model for the diffusion and production of the sulphate inside the concrete is coupled with a time-dependent Eikonal equation describing the evolution of the reaction at each point of the concrete wall. In certain cases and for specific geometries of the microstructure, the Eikonal equation admits analytical solutions, and the model takes the form of a macroscopic non-local problem. The models derived are solved numerically with the use of a finite-element method, and the results for various microstructure geometries on the microscale are presented. Springer Science+Business Media Dordrecht, 2014 Concrete corrosion nationallicence Eikonal equation nationallicence Moving-boundary problems nationallicence Perturbation methods nationallicence Sulphide corrosion nationallicence Journal of Engineering Mathematics Springer Netherlands 91/1(2015-04-01), 143-163 0022-0833 91:1<143 2015 91 10665 https://doi.org/10.1007/s10665-014-9743-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9743-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nikolopoulos Christos Department of Mathematics, University of the Aegean, Karlovasi, 83200, Samos, Greece aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 91/1(2015-04-01), 143-163 0022-0833 91:1<143 2015 91 10665