This paper addresses the issue of the mechanical behaviour of fluid-infiltrated soils in the presence of localized deformation. The formulation of the problem is based on an averaging procedure and the conditions of full as well as partial saturation are considered. The case when both constituents (i.e., the intact and shear band material) respond in undrained manner is examined first. Later, the problem is reformulated by allowing for an exchange of fluids in constituents due to dissipation of the excess pore pressure gradient. The formulation is applied to study the influence of anisotropy on the onset of localized deformation and to investigate the sensitivity of mechanical characteristics to the initial degree of saturation.
Get full access to this article
View all access options for this article.
References
1.
Cowin, S. C. , 1985. "The relationship between the elasticity tensor and the fabric tensor."Mech. Mater., 4:137-147.
2.
Cowin, S. C. , Sadgh, A. M. and Luo, G. M., 1991. "An evolutionary Wolff's law fortrabecular architecture."J. Biomech. Engng, 114:129-136.
3.
De Borst, R. , Sluys, L. J., Muhlhaus, H. B. and Pamin, J., 1993. "Fundamental issues in finite element analyses of localization of deformation."Eng. Comput., 10:99-121.
4.
Fredlund, D. G. , Rahardjo, H. and Gan, J. K. M., 1987. "Non-linearity of strength envelope for unsaturated soils."Proc. 6th Int. Conf on Expansive Soils. New Delhi. A. A. Balkema, pp 49-54.
5.
Han, C. and Vardoulakis, I., 1991. "Plane-strain compression experiments on water-saturated fine-grained sand."Geotechnique, 41:49-78.
6.
Lade, P. V. , 1994. "Instability and liquefaction of granular materials."Computers & Geotechnics, 16:123-151.
7.
Lade, P. V. , Nelson, R. B. and Ito, Y. M., 1988. "Instability of granular materials with nonassociated flow."J. Engr Mech., ASCE, 114:2173-2191.
8.
Pietruszczak, S. , 1995. "On the undrained response of granular soil involving localized deformation."bourn. Eng. Mech., ASCE, 121:1292-1298.
9.
Pietruszczak, S. , 1999. "On inelastic behaviour of anisotropic frictional materials."Mech. Coh. Frici. Mater., 4:281-293.
10.
Pietruszczak, S. and Krucinski, S., 1989. "Description of anisotropic response of clays using a tensorial measure of structural disorder."Mech. Mater., 8:327-349.
11.
Pietruszczak, S. and Niu, X., 1993. "On the description of localized deformation."Int. J. Num. Anal. Meth. Geomech., 17:791-805.
12.
Pietruszczak, S. and Pande, G. E., 1995. "On the mechanical response of partially saturated soils at low and high degrees of saturation." In.: Numerical Models in Geomechanics, Ed. Pande, Pietruszczak, A. A. Balkema Publ., pp. 33-39.
13.
Pietruszczak, S. and Pande G. N., 1996. "Constitutive relations for partially saturated soils containing gas inclusions."Jour Geotechn. Eng., ASCE, 122:50-60.
14.
Pietruszczak, S. , Inglis, D. and Pande, G. N., 1999. "A fabric-dependent fracture criterion for bone."J. Biomech., in print.
15.
Rice, J. R. , 1975. "On the stability of dilatant hardening of saturated rock masses."J. Geophys. Res., 80:1531-1536.
16.
Rudnicki, J. W. , 1982. "A formulation for studying coupled deformation pore diffusion effects on localization of deformation."ASME AMD-57 Geomechanics, Ed. Nemat-Nasser.
17.
Rudnicki, J. W. and Rice, J. R., 1975. "Conditions for the localization of deformation in pressure-sensitive dilatant materials."J. Mech. Phys. Solids, 23:371-394.
18.
Schaeffer, D. G. , 1990. "Instability and ill-posedness in the deformation of granular materials."Int. J. Num. Anal. Meth. Geomech., 14:253-278.
19.
Sills, G. C. , Wheeler, S. J., Thomas, S. D. and Gardner, T. N., 1991. "The behaviour of offshore soils containing gas bubbles. Gdotechnique, 41:227-241.
20.
Tatsuoka, F. , Sakamoto, M. and Kawamura, T., 1986. "Strength and deformation characteristics of sand in plane strain compression at extremely low pressure."Soils & Found., 26:65-84.
21.
Wheeler, S. J., 1986. The stress-strain behaviour of soils containing air bubbles, Ph.D. thesis. Oxford University.
22.
Wood, D. M. , 1979. "The behaviour of partly saturated soil: a review."Rep. CUED/D-Soils/TR 69. University of Cambridge.
23.
Vardoulakis, I. , 1985. "Stability and bifurcation of undrained plane rectilinear deformations on water-saturated granular soils."Int. J. Num. Anal. Meth. Geomech., 9:339-414.
24.
Vardoulakis, I. and Graf, B., 1985. "Calibration of constitutive models for granular materials using data from biaxial experiments."Gdotechnique, 35:299-317.
25.
Zysset, P. K. and Curnier, A., 1996. "A 3D damage model for trabecular bone based on fabric tensors."J. Biomech., 29:1549-1558.
