Diffraction at a curved grating : TM and TE cases, homogenization, J. Math. Anal. Appl, vol.202, pp.995-1026, 1996. ,
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, 1964. ,
Effective Boundary Conditions for Laminar Flows over Periodic Rough Boundaries, Journal of Computational Physics, vol.147, issue.1, pp.187-218, 1998. ,
DOI : 10.1006/jcph.1998.6088
Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary, SIAM Journal on Mathematical Analysis, vol.35, issue.6, pp.1598-1616, 2004. ,
DOI : 10.1137/S0036141003414877
Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues, Applicable Analysis, vol.90, issue.1, pp.873-897, 2007. ,
DOI : 10.1080/00036810701461238
URL : https://hal.archives-ouvertes.fr/hal-00476264
Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary, Comptes Rendus M??canique, vol.336, issue.9, pp.693-698, 2008. ,
DOI : 10.1016/j.crme.2008.06.008
URL : https://hal.archives-ouvertes.fr/hal-00477056
Long-wave elastic anisotropy produced by horizontal layering, Journal of Geophysical Research, vol.27, issue.11, pp.4427-4440, 1962. ,
DOI : 10.1029/JZ067i011p04427
Homogenisation : Averaging of Processes in Periodic Media : Mathematical Problems of the Mechanics of Composite Materials, 1989. ,
Optimal Design of Periodic Diffractive Structures, Applied Mathematics and Optimization, vol.43, issue.2, pp.103-116, 2001. ,
DOI : 10.1007/s00245-001-0004-z
Diffraction of a plane wave by rapidly oscillating surface, Comp. Math. Math. Phys, vol.32, pp.1121-1133, 1992. ,
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary, Siberian Mathematical Journal, vol.112, issue.No. 4, pp.621-644, 1998. ,
DOI : 10.1007/BF02673049
Asymptotic Analysis for Periodic Structures, 1978. ,
The Saint-Venant torsion of a circular bar consisting of a composite cylinder assemblage with cylindrically orthotropic constituents, International Journal of Solids and Structures, vol.40, issue.25, pp.7093-7107, 2003. ,
DOI : 10.1016/S0020-7683(03)00356-1
The effective thermal conductivity of composites reinforced by coated cylindrically orthotropic fibers, Journal of Applied Physics, vol.67, issue.6, pp.2878-2884, 1990. ,
DOI : 10.1063/1.345463
HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE, Analysis and Applications, vol.05, issue.02, pp.137-163, 2007. ,
DOI : 10.1142/S0219530507000924
Non-liouvillian solutions for second order Linear ODEs, Proceedings of the 2004 international symposium on Symbolic and algebraic computation , ISSAC '04, pp.80-86, 2004. ,
DOI : 10.1145/1005285.1005299
The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary, Journal of Mathematical Analysis and Applications, vol.231, issue.1, pp.213-234, 1999. ,
DOI : 10.1006/jmaa.1998.6226
URL : https://hal.archives-ouvertes.fr/inria-00073630
An investigation concerning optimal design of solid elastic plates, International Journal of Solids and Structures, vol.17, issue.3 ,
DOI : 10.1016/0020-7683(81)90065-2
Elastic Constants of Layered Media, Journal of Composite Materials, vol.3, issue.1, pp.80-93, 1972. ,
DOI : 10.1177/002199837200600107
Solutions for effective shear properties in three phase sphere and cylinder models, Journal of the Mechanics and Physics of Solids, vol.27, issue.4, pp.315-330, 1979. ,
DOI : 10.1016/0022-5096(79)90032-2
Homogénéisation d'un matériaux à structure périodique stratifié, de comportement élastique linéaire et non linéaire et viscoélastique, C. R. Acad. Sci, vol.295, pp.633-636, 1982. ,
The determination of the elastic field of an ellipsoidal inclusion and related problem, Proc. Roy. Soc, pp.376-396, 1957. ,
Conductive heat transport across rough surfaces and interfaces between two conforming media, International Journal of Heat and Mass Transfer, vol.44, issue.9, pp.1789-1801, 2001. ,
DOI : 10.1016/S0017-9310(00)00225-8
ACOUSTIC WAVE PROPAGATION IN A COMPOSITE OF TWO DIFFERENT POROELASTIC MATERIALS WITH A VERY ROUGH PERIODIC INTERFACE: A HOMOGENIZATION APPROACH, Acoustics, Mechanics, and the Related Topics of Mathematical Analysis, pp.10-20, 2003. ,
DOI : 10.1142/9789812704405_0024
A continuum theory of elastic material surfaces, Archive for Rational Mechanics and Analysis, vol.57, issue.4, pp.291-323, 1975. ,
DOI : 10.1007/BF00261375
Thermoelastic properties and conductivity of carbon/carbon fiber composites, Mechanics of Materials, vol.8, issue.4, pp.293-308, 1990. ,
DOI : 10.1016/0167-6636(90)90049-L
Homogenization of layered elastoplastic composites, International Conference on Material Modelling, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01176131
A more fundamental approach to damaged elastic stress-strain relations, International Journal of Solids and Structures, vol.32, issue.10 ,
DOI : 10.1016/0020-7683(94)00183-W
Elastic behaviour of multiply coated fibre-reinforced composites, International Journal of Engineering Science, vol.33, issue.10, pp.1419-1433, 1995. ,
DOI : 10.1016/0020-7225(95)00008-L
Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour, Journal of the Mechanics and Physics of Solids, vol.12, issue.4, pp.199-212, 1964. ,
DOI : 10.1016/0022-5096(64)90019-5
A generalized self-consistent mechanics method for composite materials with multiphase inclusions, Journal of the Mechanics and Physics of Solids, vol.42, issue.3, pp.491-504, 1994. ,
DOI : 10.1016/0022-5096(94)90028-0
Boundary and interface problems in regions with very rough boundaries, Multiple Scattering and Waves in Random Media, pp.165-197, 1981. ,
A new model for thin plates with rapidly varying thickness, International Journal of Solids and Structures, vol.20, issue.4, pp.333-350, 1984. ,
DOI : 10.1016/0020-7683(84)90044-1
HOMOGENIZATION OF CORRUGATED INTERFACES IN ELECTROMAGNETICS, Progress in electromagnetics research, pp.1-31, 2005. ,
DOI : 10.2528/PIER05020302
Modélisation multi-échelle des matériaux viscoélastiques hétérogènes : Application à l'identification et à l'estimation du fluage propre de bétons d'enceintes de centrales nucléaires, 2008. ,
Size-dependent Eshelby tensor fields and effective conductivity of composites made of anisotropic phases with highly conducting imperfect interfaces, Physical Review B, vol.81, p.64203, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00692891
Thermoelastic composites with columnar microstructure and cylindrically anisotropic phases. Part I: Exact results, International Journal of Engineering Science, vol.45, issue.2-8, pp.402-423, 2007. ,
DOI : 10.1016/j.ijengsci.2007.04.002
URL : https://hal.archives-ouvertes.fr/hal-00693674
Thermoelastic composites with columnar microstructure and cylindrically anisotropic phases. Part II: One-parameter generalized self-consistent estimates, International Journal of Engineering Science, vol.45, issue.2-8, pp.424-435, 2007. ,
DOI : 10.1016/j.ijengsci.2007.04.003
URL : https://hal.archives-ouvertes.fr/hal-00693674
A generalized self-consistent method for calculation of effective thermal conductivity of composites with interfacial contact conductance, International Communications in Heat and Mass Transfer, vol.33, issue.2, pp.142-150, 2006. ,
DOI : 10.1016/j.icheatmasstransfer.2005.10.004
Effective models of composite periodic plates???I. Asymptotic solution, International Journal of Solids and Structures, vol.27, issue.9, pp.1155-1172, 1991. ,
DOI : 10.1016/0020-7683(91)90116-W
Introduction to Micromechanics and Nanomechanics, 2000. ,
Asymptotics of the Poisson Problem in Domains with Curved Rough Boundaries, SIAM Journal on Mathematical Analysis, vol.38, issue.5, pp.1450-1473, 2007. ,
DOI : 10.1137/050633895
The 192 solutions of the heun equation, Mathematics of Computation, vol.76, issue.258, pp.811-843, 2007. ,
DOI : 10.1090/S0025-5718-06-01939-9
Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed neumann conditions on the boundary of thin rectangles, Journal of Mathematical Sciences, vol.23, issue.6, pp.113-132, 2009. ,
DOI : 10.1007/s10958-009-9431-1
A layered???shell model of isotropic composites and exact expressions for the effective properties, Journal of Applied Physics, vol.66, issue.8, pp.3429-3436, 1989. ,
DOI : 10.1063/1.344097
The Theory of Composites, 2002. ,
DOI : 10.1017/CBO9780511613357
Micromechanics of Defects in Solids, 1987. ,
Homogenization of Rough Boundaries and Interfaces, SIAM Journal on Applied Mathematics, vol.57, issue.6, pp.1660-1686, 1997. ,
DOI : 10.1137/S0036139995291088
The effective moduli of layered media-a new look at an old problem. Micromechanics and inhomogeneity-The Toshio Mura 65 th anniversary volume, pp.321-339, 1990. ,
Exact Moduli of Anisotropic Laminates, Comp. Mat, vol.2, pp.23-45, 1974. ,
DOI : 10.1007/978-94-017-2233-9_18
Scale effects on the elastic behavior of periodic andhierarchical two-dimensional composites, Journal of the Mechanics and Physics of Solids, vol.47, issue.7, pp.1509-1542, 1999. ,
DOI : 10.1016/S0022-5096(98)00111-2
The Homogenization Method : An Introduction . Studentlitteratur, 1993. ,
Asymptotic homogenisation in linear elasticity ,
WAVE PROPAGATION IN A STRATIFIED MEDIUM, GEOPHYSICS, vol.20, issue.4, pp.780-806, 1955. ,
DOI : 10.1190/1.1438187
Microstructures solubles et relations exacts en micromécanique, 2005. ,
A one-parameter generalized self-consistent model for isotropic multiphase composites, International Journal of Solids and Structures, vol.44, issue.21, pp.6805-6825, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.03.008
URL : https://hal.archives-ouvertes.fr/hal-00693603
Heun's Differential Equations, 1995. ,
Propriétés homogénéisées des matériaux hétérogènes élastiques : Définition des bornes, 2005. ,
Non -Homogeneous Media and Vibration Theory, 1980. ,
Quasi-P-waves at a corrugated interface between two dissimilar monoclinic elastic half-spaces, International Journal of Solids and Structures, vol.44, issue.1, pp.197-228, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.04.025
The reflection of electromagnetic waves from very rough interfaces, Wave Motion, vol.12, issue.3, pp.245-260, 1990. ,
DOI : 10.1016/0165-2125(90)90042-3
Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, 2002. ,
DOI : 10.1115/1.1483342
Homogenized equations of the linear elasticity in two-dimensional domains with very rough interfaces, Mechanics Research Communications, vol.37, issue.3, pp.285-288, 2010. ,
DOI : 10.1016/j.mechrescom.2010.02.006
Homogenized equations of the linear elasticity theoryin two -dimensional domains with interfaces highlyoscillating between two circles, Acta Mech, pp.1-16, 2010. ,
Mechanics of corrugated surfaces, Journal of the Mechanics and Physics of Solids, vol.58, issue.10, pp.1552-1566, 2010. ,
DOI : 10.1016/j.jmps.2010.07.011
Scattering by periodic surfaces, The Journal of the Acoustical Society of America, vol.57, issue.4, pp.791-802, 1975. ,
DOI : 10.1121/1.380521
Scattering from a perfectly conducting surface with a sinusoidal height profile: TE polarization, IEEE Transactions on Antennas and Propagation, vol.19, issue.2, pp.208-214, 1971. ,
DOI : 10.1109/TAP.1971.1139908
Matériaux hétérogènes et composites. Cours à l'Ecole Polytechnique -Ed, 2000. ,
An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution, Journal of the Mechanics and Physics of Solids, vol.49, issue.11, pp.2765-2788, 2001. ,
DOI : 10.1016/S0022-5096(01)00078-3
Homogenization of Differential Operators and Integral Functionals, 1994. ,