References
- Go , J-Y and Pyun , S-I . 2005 . “ Fractal approach to rough surfaces and interfaces in electrochemistry ” . In in Modern aspects of Electrochemistry , Vol. 39 , 167 – 229 . New York : Springer .
- Ionescu , IR , Onofrei , D and Vernescu , B . 2005 . Γ-convergence for a fault model with slip-weakening friction and periodic barriers . Quart. Appl. Math. , 63 ( 4 ) : 747 – 778 .
- Papageorgio , AS and Aki , K . 1983 . A specific barrier model for the quantitative description of strong ground motion Part I: Description of the model . Bull. Seism. Soc. Amer. , 73 : 693 – 722 .
- Papageorgio , AS and Aki , K . 1983 . A specific barrier model for the quantitative description of strong ground motion Part II: Application of the model . Bull. Seismol. Soc. Amer. , 73 : 953 – 978 .
- Ciarlet , PG and Destuynder , P . 1979 . A justification of the two-dimensional plate model. . J. Méc. , 18 : 315 – 344 .
- Brillard , A , Lobo , M and Perez , E . 1990 . Homogénéisation de frontière par épi-convergence en élasticité linéaire . Math. Model. Num. Anal. , 24 ( 1 ) : 5 – 26 .
- Lobo , M and Perez , E . 1988 . Asymptotic behaviour of an elastic body with a surface having small stuck regions . Math. Model. Numer. Anal. , 22 : 609 – 624 .
- El Jarroudi , M , Addou , A and Brillard , A . 2000 . Asymptotic analysis and boundary homogenization in linear elasticity . Mathods Methods Appl. Sci. , 23 : 656 – 683 .
- El Jarroudi , M and Brillard , A . 2008 . Asymptotic behaviour of contact problems between two elastic materials through a fractal interface . J. Math. Pures Appl. , 89 : 505 – 521 .
- Allaire , G . 1992 . Homogenization and two-scale convergence . Siam. J. Math. Anal. , 23 : 1482 – 1512 .
- Attouch , H . 1984 . “ Variational Convergence for Functions and Operators ” . In Applied Math Series , London : Pitman .
- Dal Maso , G . 1993 . An introduction to Γ-convergence: Progress in Nonlinear Partial Differential Equations and their Applications , Vol. 8 , Basel, , Switzerland : Birkhäuser .
- Hutchinson , JE . 1981 . Fractals and self-similarity . Indiana Univ. Math. J. , 30 : 713 – 747 .
- Kondratiev , VA and Oleinik , OA . 1989 . On Korn's inequalities . C.R. Acad. Sci. Paris, Sér. I , 308 : 483 – 487 .
- Jonsson , A and Wallin , H . 1997 . Boundary value problems and Brownian motion on fractals . Chaos Soli. Frac. , 8 ( 2 ) : 191 – 205 .
- Wallin , H . 1993 . “ Self-similarity, Markov's inequality and d-sets ” . In in Construction Theory of Functions , 285 – 297 . Sofia : Varna .
- Jonsson , A and Wallin , H . 1978 . A Whitney extension theorem in Lp and Besov spaces . Ann. Inst. Fourier (Grenoble) , 28 : 139 – 192 .
- Ciarlet , PG . 1997 . Mathematical Elasticity, Vol. II: Theory of Plates , North Holland : Amsterdam .
- Landau , L and Lifschitz , E . 1967 . Théorie de l'Elasticité , Moscou : Editions Mir .
- Sneddon , IN . 1951 . Fourier Transforms. , New York : McGraw-Hill .
- Falconer , M . 1997 . Techniques in Fractal Geometry , Chichester : Wiley .
- Le Dret , H . 1991 . Problèmes variationnels dans les multi-domaines: Modélisation des jonctions et applications , Masson, , Paris : RMA 19 .