References
- Beddoe , RE and Dorner , HW . 2005 . Modelling acid attack on concrete: Part 1. The essential mechanisms . Cement Concrete Res. , 35 : 2333 – 2339 .
- Fatima , T , Arab , N , Zemskov , EP and Muntean , A . 2011 . Homogenization of a reaction–diffusion system modeling sulphate corrosion in locally-periodic perforated domains . J. Eng. Math. , 69 ( 2 ) : 261 – 276 .
- van Noorden , TL and Muntean , A . 2011 . Homogenization of a locally-periodic medium with areas of low and high diffusivity . Eur. J. Appl. Math. , 22 ( 5 ) : 493 – 516 .
- Fatima , T and Muntean , A . Sulfate attack in sewer pipes: Derivation of a concrete corrosion model via two-scale convergence. CASA Report No. 10-70, Technische Universiteit Eindhoven, 2010
- Chalupecký , V , Fatima , T and Muntean , A . 2010 . Multiscale sulphate attack on sewer pipes: Numerical study of a fast micro-macro mass transfer limit . J. Math. Indust. , 2 ( 2010B-7 ) : 171 – 181 .
- Böhm , M , Jahani , F , Devinny , J and Rosen , G . 1998 . A moving-boundary system modeling corrosion of sewer pipes . Appl. Math. Comput. , 92 : 247 – 269 .
- Zhikov , VV and Pyatniskii , AL . 2006 . Homogenization of random singular structures and random measures . Izv. Math. , 70 ( 1 ) : 19 – 67 .
- Griso , G . 2004 . Error estimate and unfolding for periodic homogenization . Asymptot. Anal. , 40 : 269 – 286 .
- Griso , G . 2005 . Interior error estimate for periodic homogenization . C. R. Math. , 340 ( 3 ) : 251 – 254 .
- Evans , LC . 2006 . Partial Differential Equations , Philadelphia , NY : AMS .
- Lions , JL . 1969 . Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires , Paris : Dunod .
- Cioranescu , D , Donato , P and Zaki , R . 2006 . Periodic unfolding and Robin problems in perforated domains . C. R. Acad. Sci. Paris , 342 : 469 – 474 .
- Cioranescu , D , Donato , P and Zaki , R . 2006 . The periodic unfolding method in perforated domains . Port. Math. , 63 : 467 – 496 .
- Cioranescu , D , Damlamian , A and Griso , G . 2008 . Periodic unfolding and homogenization . SIAM J. Math. Anal. , 40 ( 4 ) : 1585 – 1620 .
- Onofrei , D . 2006 . The unfolding operator near a hyperplane and its application to the Neumann sieve model . Adv. Math. Sci. Appl. , 16 ( 1 ) : 239 – 258 .
- Cioranescu , D , Damlamian , A , Donato , P , Griso , G and Zaki , R . The periodic unfolding method in domains with holes, preprint (2010)
- Marciniak-Czochra , A and Ptashnyk , M . 2008 . Derivation of a macroscopic receptor-based model using homogenization techniques . SIAM J. Math. Anal. , 40 ( 1 ) : 215 – 237 .
- Cioranescu , D and Paulin , JSJ . 1998 . Homogenization of Reticulated Structures , New York : Springer .