Generalized Consolidation Theory for Anisotropic Saturated Soils
Publication: International Journal of Geomechanics
Volume 16, Issue 3
Abstract
Darcy’s law of fluid flow and the stress equilibrium equations of anisotropic media, coupled with the mass conservation equations of fluid, are studied on the basis of the model of constitutive equations for both effective stress and porosity of anisotropic saturated soils, in which a new compressible model of soils and anisotropic effects are introduced. This technical note gives a generalized consolidation equation of anisotropic saturated soils. The results show that for isotropic soils, the consolidation equation derived degenerated into Biot’s theory in some approximation, and in the one-dimensional case, there were some subtle differences among Biot’s theory, Terzaghi’s theory, and the current theory. In the final part of this technical note, a set of generalized consolidation equations of orthotropic saturated soils are deduced, and some simple solutions are obtained.
Get full access to this article
View all available purchase options and get full access to this article.
References
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Biot, M. A. (1955). “Theory of elasticity and consolidation for a porous anisotropic solids.” J. Appl. Phys., 26(2), 182–185.
Booker, J. R. (1978). “Time-dependent strain following faulting of a porous medium.” J. Geophys. Res., 79(14), 2037–2044.
Desai, C. S., and Wang, Z. (2003). “Disturbed state model for porous saturated materials.” Int. J. Geomech., 260–265.
Karstunen, M., Rezania, M., Sivasithamparam, N., and Yin, Z.-Y. (2012). “Comparison of anisotropic rate-dependent models for modeling consolidation of soft clays.” Int. J. Geomech., 153–168.
Kubic, J., and Sawczuk, A. (1983). “A theory of anisotropic consolidation.” Ing. Archiv., 53(2), 133–143.
McName, J., and Gibson, R. E. (1960). “Displacement functions and linear transforms applied to diffussion through porous elastic media.” Quart. J. Mech. Appl. Math., 13(1), 99–111.
Morland, L. W. (1972). “A simple constitutive theory for a fluid-saturated porous solid.” J. Geophys. Res., 77(5), 890–900.
Murakami, S., and Sawczuk, A. (1981). “A unified approach to constitutive equations of inelasticity based on tensor function representations.” Nucl. Eng. Des., 65(1), 33–47.
Schädlich, B., and Schweiger, H. F. (2013). “Influence of anisotropic small strain stiffness on the deformation behavior of geotechnical structures.” Int. J. Geomech., 861–868.
Terzaghi, K. (1936). “The shearing resistance of saturated soils.” Proc., 1st Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, Harvard Univ., Cambridge, MA, 54–56
Toyota, H., Susami, A., and Takada, S. (2014). “Anisotropy of undrained shear strength induced by K0 consolidation and swelling in cohesive soils.” Int. J. Geomech., 04014019.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 16 • Issue 3 • June 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Mar 21, 2014
Accepted: Jun 18, 2015
Published online: Dec 3, 2015
Discussion open until: May 3, 2016
Published in print: Jun 1, 2016
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.