Abstract
The note presents some results concerning mechanical and transport properties of saturated porous media. The attention is paid for phenomenon of local mass exchange due to a sorption process as well as its effect on transport and mechanical properties of porous medium. The results are obtained through a micro-macro passage, i.e. by a systematic use of the asymptotic expansion technique. The gas flow through a rigid skeleton with simultaneous sorption process is investigated first. The analysis is then extended for the case of a gas flow through a deformable porous skeleton. It is pointed out that the macroscopic description for the both cases studied exhibits a strong memory effect. A mathematical form of the memory function is presented for a particular microstructure. The reciprocal relations between the overall material constants, involved in the description derived, end the paper.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Auriault J. L. (1991). Dynamic behaviour of porous media, in Transport Processes in Porous Media, J. Bear and M. Y. Corapcioglu (eds.), Kluwer Academic Publishers, 471–519.
Bensoussan A., Lions J.L., Papanicolau G. (1978). Asymptotic analysis for periodic structures, North-Holland Publishing Company, Amsterdam.
Cheng A.H.D. (1997). Material Coefficients of anisotropic poroelasticity, Int. J. Rock Mech. Min. Scl., 34, 199–205.
Gałka A., Telega J.J., Wojnar R. (1994). Thermodiffusion in heterogeneous elastic solids and homogenization, Arch. Mech, 46, 3, 267–314.
Hornung U. (ed). (1997). Homogenization and Porous Media, Interdisciplinary Applied Mathematics, Vol.6, Springer-Verlag, Berlin.
Landau L.D., Lifszyc E.M. (1994). Hydrodynamics, PWN, Warszawa, seria Fizyka Techniczna, (in polish)
Lasoń M., (1988), Specific surface of porous materials, Arch. Min. Sci., 33, 475–497.
Łydżba D., Auriault J.L. (1996). Gas filtration through porous coal medium. Effect of the gas constrained in micropores, Arch. Mech, 48(3), 447–473
Łydżba D., Shao J.F. (2000). Study of poroelasticity material coefficients as response of microstructure, Mechanics of Cohesive-Frictional Materials, 5, 149–171.
Łydżba D. (2002). Applications of asymptotic homogenization method in soil and rock mechanics, Oflcyna Wydawnicza PWr, Wroclaw, (in polish).
Nowacki W.. (1986). Advances of Elasticity Theory, PWN, Warszawa, (in polish).
Özişik M.N.. (1980). Heat Conduction, John Wiley & Sons, New York.
Sab K. (1992). On the homogenization and the simulation of random materials, Eur. J. Mech. A/Solids, 11, 585–607.
Sab K. (1994). Homogenization of non-linear random media by duality method. Application to plasticity, Asymptotic Analysis, 9, 311–336.
Sanchez-Palencia E. (1980). Non-homogeneous Media and Vibration Theory, Lecture Notes in Physics, 127, Springer-Verlag, Berlin.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 CISM, Udine
About this chapter
Cite this chapter
Łydżba, D. (2005). Micromechanical Analysis of Saturated Porous Media with Local Mass Exchange Phenomenon. In: Dormieux, L., Ulm, FJ. (eds) Applied Micromechanics of Porous Materials. CISM International Centre for Mechanical Sciences, vol 480. Springer, Vienna. https://doi.org/10.1007/3-211-38046-9_2
Download citation
DOI: https://doi.org/10.1007/3-211-38046-9_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-26362-4
Online ISBN: 978-3-211-38046-8
eBook Packages: EngineeringEngineering (R0)