TECHNICAL PAPERS
Dec 3, 2009

Micromechanical Modeling for Inherent Anisotropy in Granular Materials

Publication: Journal of Engineering Mechanics
Volume 136, Issue 7

Abstract

In this paper, a description of inherent anisotropy of soil, based on micromechanics framework, is presented. The problem is formulated by assuming that sliding of two contact particles governed by Coulomb criterion in which the friction angle is a function of the orientation of the interparticle contact. The orientation distribution of these parameters is described by a set of symmetric second-order tensors. The formulation of the problem is illustrated by simulations of Santa Monica Beach Sand under true triaxial tests. In particular, the directional dependence of the strength characteristics is examined for samples with inherent cross anisotropy. The orientations of failure planes between particles are also examined.

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References

Abelev, A. V., Gutta, S. K., Lade, P. V., and Yamamuro, J. A. (2007). “Modeling cross anisotropy in granular materials.” J. Eng. Mech., 133(8), 919–932.
Abelev, A. V., and Lade, P. V. (2003). “Effects of cross anisotropy on three-dimensional behavior of sand. I: Stress-strain behavior and shear banding.” J. Eng. Mech., 129(2), 160–166.
Arthur, J. R. F., and Menzies, B. K. (1972). “Inherent anisotropy in a sand.” Geotechnique, 22(1), 115–128.
Bažant, Z. P., Caner, F. C., Carol, I., Adley, M. D., and Akers, S. A. (2000). “Microplane model M4 for concrete. I: Formulation with work-conjugate deviatoric stress.” J. Eng. Mech., 126(9), 944–953.
Bažant, Z. P., and Prat, P. C. (1988). “Microplane model for brittle plastic material: I. Theory.” J. Eng. Mech., 114(10), 1672–1688.
Biarez, J., and Hicher, P. Y. (1994). Elementary mechanics of soil behaviour, Balkema, Rotterdam, The Netherlands, 208.
Boehler, J. P., and Sawczuk, A. (1977). “On yielding of oriented solids.” Acta Mech., 27, 185–204.
Casagrande, A., and Carillo, N. (1944). “Shear failure of anisotropic materials.” J. Boston Soc. Civ. Eng., 31(4), 74–87.
Chang, C. S., and Hicher, P. -Y. (2005). “An elastic-plastic model for granular materials with microstructural consideration.” Int. J. Solids Struct., 42, 4258–4277.
Chang, C. S., and Misra, A. (1990). “Application of uniform strain theory to heterogeneous granular solids.” J. Eng. Mech., 116(10), 2310–2328.
Chang, C. S., Misra, A., and Sundaram, S. S. (1990). “Micromechanical modelling of cemented sands under low amplitude oscillations.” Geotechnique, 40(2), 251–263.
Chang, C. S., Sundaram, S. S., and Misra, A. (1989). “Initial moduli of particulate mass with frictional contacts.” Int. J. Numer. Analyt. Meth. Geomech., 13, 629–644.
Christoffersen, J., Mehrabadi, M. M., and Nemat-Nassar, S. (1981). “A micromechanical description on granular material behavior.” ASME J. Appl. Mech., 48, 339–344.
El-Sohby, M. A., and Andrews, K. Z. (1973). “Experimental examination of sand anisotropy.” Proc., 8th Int. Conf. on Soil Mech., 1, Springer, New York, 103–109.
Ghaboussi, J., and Momen, H. (1984). “Plasticity model for inherently anisotropic behavior of sands.” Int. J. Numer. Analyt. Meth. Geomech., 8(1), 1–17.
Goddard, J. D., and Bashir, Y. M. (1990). “On Reynolds dilatancy.” Recent development in structured continua, Vol. II, D. De Kee and P. N. Kaloni, eds., Longman’s, London, 23–35.
Hicher, P. Y., Chang, C. S., and Dano, C. (2008). “Multi-scale modeling of grouted sand behavior.” Int. J. Solids Struct., 45(16), 4362–4374.
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found., 15(1), 29–44.
Iwan, W. D. (1967). “On a class of models for the yielding behavior of continuous and composite systems.” J. Appl. Mech., 34, 612–617.
Kavvadas, M. J. (1983). “A constitutive model for clays based on nonassociative elasto-plasticity.” Proc., Int. Conf. Constitutive Laws for Engineering Materials: Theory and Applications, Elsevier, New York, 263–270.
Lade, P. V., and Abelev, A. V. (2003). “Effects of cross anisotropy on three-dimensional behavior of sand. II: Volume change behavior and failure.” J. Eng. Mech., 129(2), 167–174.
Lade, P. V., and Abelev, A. V. (2005). “Characterization of cross-anisotropic soil deposits from isotropic compression tests.” Soils Found., 45(5), 89–102.
Li, X. S., and Dafalias, Y. F. (2002). “Constitutive modeling of inherently anisotropic sand behavior.” J. Geotech. Geoenviron. Eng., 128(10), 868–880.
Li, X. S., and Wang, Y. (1998). “Linear representation of steady-state line for sand.” J. Geotech. Geoenviron. Eng., 124(12), 1215–1217.
Luong, M. P. (1980). “Stress-strain aspects of cohesionless soils under cyclic and transient loading.” Proc., Int. Symp. on Soils under Cyclic and Transient Loading, Balkema, Rotterdam, The Netherlands, 353–376.
Mahmood, A., Mitchell, J. K., and Lindblom, U. (1976). “Effect of specimen preparation method on grain arrangement and compressibility in sand.” Soil Specimen Prep. Lab. Testing, ASTM STP 599, ASTM, West Conshohocken, Pa., 169–192.
Masad, E., and Muhunthan, B. (2000). “Three-dimensional characterization and simulation of anisotropic soil fabric.” J. Geotech. Geoenviron. Eng., 126(3), 199–207.
Mindlin, R. D. (1969). “Microstructure in linear elasticity.” Arch. Ration. Mech. Anal., 16, 51–78.
Mróz, Z. (1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15, 163–175.
Nakata, Y., Hyodo, M., Murata, H., and Yasufuku, N. (1998). “Flow deformation of sands subjected to principal stress rotation.” Soils Found., 38(2), 115–128.
Ochiai, H., and Lade, P. V. (1983). “Three-dimensional behavior of sand with anisotropic fabric.” J. Geotech. Eng., 109(10), 1313–1328.
Oda, M. (1972a). “Initial fabrics and their relations to mechanical properties of granular materials.” Soils Found., 12(1), 17–36.
Oda, M. (1972b). “The mechanism of fabric changes during compressional deformation of sand.” Soils Found., 12(2), 1–18.
Oda, M. (1977). “Co-ordination number and its relation to shear strength of granular material.” Soils Found., 17(2), 29–42.
Oda, M. (1981). “Anisotropic strength of cohesionless sands.” J. Geotech. Engrg. Div., 107(9), 1219–1231.
Oda, M., and Nakayama, H. (1988). “Introduction of inherent anisotropy of soils in the yield function.” Micromechanics of granular materials, M. Satake and J. T. Jenkins, eds., Elsevier, Amsterdam, 81–90.
Oda, M., and Nakayama, H. (1989). “Yield function for soil with anisotropic fabric.” J. Eng. Mech., 115(1), 89–104.
Oka, F., Kimoto, S., Kobayashi, H., and Adachi, T. (2002). “Anisotropic behavior of soft sedimentary rock and a constitutive model.” Soils Found., 42(5), 59–70.
Pietruszczak, S., and Pande, G. N. (2001). “Description of soil anisotropy based on multi-laminate framework.” Int. J. Numer. Analyt. Meth. Geomech., 25(2), 197–206.
Prat, P. C., Sánchez, F., and Gens, A. (1997). “Equivalent continuum anisotropic microplane model for rock: Theory and applications to finite element analysis.” Proc., 6th Int. Symp. Numerical Models in Geomechanics (NUMOG), Balkema, Rotterdam, The Netherlands, 159–164.
Prevost, J. H. (1982). “Two-surface versus multi-surface plasticity theories: A critical assessment.” Int. J. Numer. Analyt. Meth. Geomech., 6, 323–338.
Rothenburg, L., and Selvadurai, A. P. S. (1981). “Micromechanical definitions of the Cauchy stress tensor for particular media.” Mechanics of structured media, A. P. S. Selvadurai, ed., Elsevier, Amsterdam, 469–486.
Rowe, P. W. (1962). “The stress-dilatancy relations for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A, 269, 500–527.
Schofield, A. N., and Wroth, C. P. (1968). Critical state soil mechanics, McGraw-Hill, London.
Schweiger, H. F., Wiltafsky, C., Scharinger, F., and Galavi, V. (2009). “A multilaminate framework for modelling induced and inherent anisotropy of soils.” Geotechnique, 59(2), 87–101.
Taylor, D. W. (1948). Fundamentals of soil mechanics, Wiley, New York.
Tobita, Y. (1989). “Fabric tensors.” Mechanics of granular materials, Report from TC13, M. Satake, ed., International Society of Soil Mechanics and Foundation Engineering, Rio De Janeiro, 6–9.
Wong, R. K. S., and Arthur, J. R. F. (1985). “Induced and inherent anisotropy in sand.” Geotechnique, 35(4), 471–481.
Yamada, Y., and Ishihara, K. (1979). “Anisotropic deformation characteristics of sand under three dimensional stress conditions.” Soils Found., 19(2), 79–94.
Yamada, Y., and Ishihara, K. (1981). “Undrained deformation characteristics of loose sand under three-dimensional stress conditions.” Soils Found., 21(1), 97–107.
Yoshimine, M., Ishihara, K., and Vargas, W. (1998). “Effects of principal stress direction and intermediate principal stress on drained shear behavior of sand.” Soils Found., 38(3), 177–186.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 7July 2010
Pages: 830 - 839

History

Received: Aug 25, 2009
Accepted: Dec 1, 2009
Published online: Dec 3, 2009
Published in print: Jul 2010

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Authors

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Ching S. Chang [email protected]
M.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of Massachusetts, Amherst, MA 01002 (corresponding author). E-mail: [email protected]
Zhen-Yu Yin [email protected]
Professor, Department of Civil Engineering, Shanghai Jiaotong Univ., Shanghai 200240, China. E-mail: [email protected]

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