Micromechanical Basis of Concept of Effective Stress
Publication: Journal of Engineering Mechanics
Volume 128, Issue 8
Abstract
Key developments in the concept of effective stress are surveyed with an emphasis on the ensemble averaging based micromechanical approach reported by Didwania and de Boer in 1999. Various assumptions underlying the effective stress for special cases like rigid/poroelastic solid material saturated by incompressible fluid under homogeneous conditions are elucidated. It is shown that for inhomogeneous saturated porous material the concept of effective stress needs to be generalized by introducing higher gradients of porosity, pore pressure, etc.
Get full access to this article
View all available purchase options and get full access to this article.
References
Biot, M. A., and Willis, D. G.(1957). “The elastic coefficients of the theory of consolidation.” J. Appl. Mech., 24, 594–601.
Carroll, M. M., and Katsube, N.(1983). “The role of Terzhagi effective stress in linearly elastic deformation.” ASME J. Energy Resour. Technol., 105, 509–511.
Chateau, X., and Dormieux, L. (2001). “Micromechanics of unsaturated porous media.” Theoretical and numerical methods in continuum mechanics of porous media, W. Ehlers, ed., Kluwer Academic, Dordrecht, 125–130.
Coussy, O. (1995). Mechanics of Porous Continua, Wiley, New York.
de Boer, R.(1996). “Highlights in the historical development of the theory of porous media-towards a consistent macroscopic theory.” Appl. Mech. Rev., 49, 201–262.
de Boer, R., and Didwania, A. K.(1997). “The effect of uplift in liquid-saturated porous solids—Karl Terzaghi’s contributions and recent findings.” Geotechnique, 47, 289–298.
de Boer, R., and Didwania, A. K.(2001). “Saturated elastic porous solids: Incompressible, compressible, and hybrid binary models.” Transp. Porous Media, 45, 423–443.
de Boer, R., and Kowalski, S.(1983). “A plasticity theory for fluid-saturated porous solids.” Int. J. Eng. Sci., 21, 1143–1157.
de Buhan, P., and Dormieux, L.(1996). “On the validity of the effective stress concept for assessing the strength of saturated porous materials: A homogenization approach.” J. Mech. Phys. Solids,44, 1649–1667.
de Buhan, P., and Dormieux, L.(1999). “A micromechanics-based approach to the failure of saturated porous media.” Trans. Porous Media, 34, 47–62.
Didwania, A. K. (2001). “Effective stress and capillary pressure in unsaturated porous media.” Theoretical and numerical methods in continuum mechanics of porous media, W. Ehlers, ed., Kluwer Academic, 281–286.
Didwania, A. K., and de Boer, R.(1999). “Saturated compressible and incompressible porous solids: Macro- and micromechanical approaches.” Trans. Porous Media, 34, 101–115.
Didwania, A. K., Ledniczky, K., and Goddard, J. D.(2001). “Kinematic diffusion in quasi-static granular deformation.” Q. J. Mech. Appl. Math., 54, 413–429.
Goddard, J. D., and Didwania, A. K.(1997). “Computations of dilatancy and yield surfaces for assemblies of rigid frictional spheres.” Q. J. Mech. Appl. Math., 51, 15–43.
Gray, W. G., and Schrefler, B. A.(2001). “Thermodynamic approach to effective stress in partially saturated porous media.” Eur. J. Mech. A/Solids, 20, 521–538.
Lade, P., and de Boer, R.(1997). “The concept of effected stress for soil, concrete, and rock.” Geotechnique, 47, 61–78.
Sangani, A. S., and Didwania, A. K.(1993). “A dispersed-phase stress tensor in flows of bubbly liquids at large Reynolds number.” J. Fluid Mech., 248, 27–54.
Skempton, A. W. (1960). “Significance of Terzaghi’s concept of effective stress.” From theory to practice in soil mechanics, L. Bjerrum, A. Casagrande, R. B. Peck, and A. W. Skempton, eds., Wiley, New York.
Terzaghi, von K. (1936). “The shearing resistance of saturated soils and the angle between the planes of shear.” First Int. Conf. Soil Mech., Vol. 1, Harvard Univ., Cambridge, Mass., 54–56.
Zhuang, X., Didwania, A. K., and Goddard, J. D.(1995). “Simulation of the quasistatic mechanics and scalar transport properties of granular assemblies.” J. Comput. Phys., 121, 331–346.
Zienkiewicz, O.C. Humpheson, C., and Lewis, R. W. (1977). “A unified approach to soil mechanics problems including plasticity and visco-plasticity.” Finite elements in geomechanics, G. Gudehus, ed., Wiley, New York, 151–177.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 8 • August 2002
Pages: 864 - 868
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Mar 25, 2002
Published online: Jul 15, 2002
Published in print: Aug 2002
Authors
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.