Heterogeneous periodic and random media. Are the equivalent macroscopic descriptions similar?

International Journal of Engineering Science

Volumn 49, Issue 8, 2011, Pages 806-808

  Auriault, J L ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Heterogeneous media; Homogenization; Macroscopization; Periodic media; Random media; Separation of scales

Indexed keywords

HETEROGENEOUS MEDIA; HOMOGENIZATION; MACROSCOPIZATION; PERIODIC MEDIA; RANDOM MEDIA; SEPARATION OF SCALES;

RANDOM PROCESSES;

EID: 79956359744     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2011.01.005     Document Type: Article

References (8)

1. J.-L. Auriault, C. Boutin, and C. Geindreau Homogenization of coupled phenomena in heterogenous media 2009 ISTE and Wiley
2. A. Bensoussan, J.-L. Lions, and G. Papanicolaou Asymptotic analysis for periodic structures 1978 North Holland Amsterdam
3. H.I. Ene, and E. Sanchez-Palencia Equations et phénomnes de surface pour l'écoulement dans un modle de milieu poreux Journal de Mécanique 14 1 1975 73 108
4. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin Determination of the size of the representative volume element for random composites: Statistical and numerical approach International Journal of Solids and Structures 40 2003 3647 3679 (Pubitemid 36659117)
5. J.B. Keller 'Effective behaviour of heterogeneous media U. Landman, Statistical mechanics and statistical methods in theory and application 1977 Plenum 631 644
6. M. Quintard, and S. Whitaker Transport in ordered and disordered porous media: Volume-averaged equations, closure problems, and comparison with experiment Chemical Engineering Science 48 1993 2537 2564 (Pubitemid 23668864)
7. K. Sab On the homogenization and the simulation of random materials European Journal of Mechanics A-Solids 11 5 1992 585 607 (Pubitemid 23559661)
8. E. Sanchez-Palencia Non-homogeneous media and vibration theory 2009 Springer-Verlag Berlin