TECHNICAL PAPERS
Dec 1, 2001

Homogenization Approach of Advection and Diffusion in Cracked Porous Material

Publication: Journal of Engineering Mechanics
Volume 127, Issue 12

Abstract

The present paper aims at studying the effect of microcracks opening on the diffusion and advection processes in a saturated porous medium. It is based on a micromechanical homogenization approach. The effects of porosity and microcracks are addressed in microscopic and mesoscopic levels to yield estimates of the effective diffusion and permeability tensors. Closed-form expressions and numerical results are obtained. For instance, the effect of the crack density parameter ε on the overall properties is discussed: (1) for a given value of ε, the maximum overall diffusion coefficient decreases for increasing values of crack radius; and (2) for large crack opening, the overall permeability is mainly controlled by ε and almost independent of the applied stress and the crack radius.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Auriault, J.-L., and Lewandowska, Y. ( 1996). “Diffusion/adsorption/advection macrotransport in soils.” Eur. J. Mech., A/Solids, 15(4), 681–704.
2.
Bear, J., and Bachmat, Y. ( 1990). Introduction to modeling of transport phenomena in porous media, Kluwer Academic, Boston.
3.
Budiansky, B., and O'Connell, R. J. ( 1976). “Elastic moduli of cracked solid.” Int. J. Solids and Struct., 12, 81–97.
4.
Bui, H. D. ( 1978). Mécanique de la rupture fragile, Masson, Paris (in French).
5.
Carslaw, H. S., and Jaeger, J. C. ( 1959). Conduction of heat in solids, 2nd Ed., Clarendon, Oxford, England.
6.
Ene, H., and Sanchez-Palencia, E. ( 1975). “Equations et phénomènes de surface pour l'écoulement dans un modèle de milieu poreux.” J. Méchanique, Paris, 14, 73–108.
7.
Eshelby, J. D. ( 1957). “The determination of the elastic field of an ellipsoidal inclusion, and related problems.” Proc., Royal Soc., London, A349, 261.
8.
Eshelby, J. D. ( 1961). “Elastic inclusion and inhomogeneities.” Progress in solids mechanics, I. N. Sneddon and R. Hill, eds., Vol. II, North-Holland, Amsterdam, 87–140.
9.
Gérard, B., Breysse, D., Ammouche, A., Houdusse, O., and Didry, O. ( 1996). “Cracking and permeability of concrete under tension.” Mat. and Struct., Paris, 29, 141–151.
10.
Hashin, Z., and Shtrikman, S. ( 1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11, 127–140.
11.
Horii, H., and Nemat-Nasser, S. ( 1983). “Overall moduli of solids with microcracks: Load-induced anisotropy.” J. Mech. Phys. Solids, 31(2), 155–171.
12.
Maxwell, J. C. ( 1892). A treatise on electricity and magnetism, Vol. 2, Clarendon, Oxford, England.
13.
Mori, T., and Tanaka, K. ( 1973). “Average stress in the matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall., 21, 571–574.
14.
Willis, J. R. ( 1977). “Bounds and self-consistent estimates for the overall properties of anisotropic composites.” J. Mech. Phys. Solids, 25, 185–202.
15.
Zaoui, A. ( 1997). Structural morphology and constitutive behaviour of microheterogeneous materials, Continuum micromechanics, CISM courses, and lectures No. 377, P. Suquet, ed., Springer, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 12December 2001
Pages: 1267 - 1274

History

Received: Oct 6, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Prof., CERMMO ENPC, 6-8 Ave. Blaise Pascal, 77420 Champs sur Marne, France. E-mail: [email protected]
CERMMO ENPC, 6-8 Ave. Blaise Pascal, 77420 Champs sur Marne, France. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share