TECHNICAL PAPERS
Nov 1, 2001

Drained Cyclic Behavior of Sand with Fabric Dependence

Publication: Journal of Engineering Mechanics
Volume 127, Issue 11

Abstract

The behavior of sand is characterized by dilatancy, an increase in overall volume as particles move over each other when the sand assembly is subjected to shear stresses. A stress-dilatancy model for sand in the cyclic loading regime, taking into account microstructural changes, is presented. The model is subsequently integrated into a constitutive model based on hypoplasticity so as to accurately calculate volume changes induced by fabric and dilatancy changes during cyclic loading. Furthermore, it is assumed that fabric evolution is a function of the ratio of deviatoric to mean principal stress. Some numerical examples that capture the effect of fabric changes on the drained cyclic behavior of sand are presented. Among others, it is found that initial fabric can drastically alter both the dilatancy response and net volume change at shakedown conditions even though the initial void ratio and confining pressure are kept unchanged. The void ratio here is defined as the volume of voids to that of solids.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Balendran, B., and Nemat-Nasser, S. ( 1993). “Double sliding model for cyclic deformation of granular materials including dilatancy effects.” J. Mech. Phys. Solids, 41(3), 573–612.
2.
Bauer, E., and Wu, W. ( 1993). “A hypoplastic model for granular soils under cyclic loading.” Modern approaches to plasticity, D. Kolymbas, ed., Elsevier, Amsterdam, 247–258.
3.
Chang, C. S. ( 1987). “Micromechanical modelling of constitutive relations for granular material.” Micromechanics of granular materials, M. Satake and J. T. Jenkins, eds., Elsevier Science, Amsterdam, 271–279.
4.
Chang, C. S., and Gao, J. ( 1995). “Second-gradient constitutive theory for granular material with random packing structure.” Int. J. Solids and Struct., 32(16), 2279–2294.
5.
Christoffersen, J., Mehrabadi, M. M., and Nemat-Nasser, S. ( 1981). “A micromechanical description of granular material behaviour.” J. Appl. Mech., 48, 339–343.
6.
Emeriault, F., and Cambou, B. ( 1996). “Micromechanical modelling of anisotropic nonlinear elasticity of granular medium.” Int. J. Solids and Struct., 33(18), 2591–2609.
7.
England, G. L., and Tsang, C. M. ( 1996). “Thermally induced problems in civil engineering structures.” Thermal stresses IV, R. B. Hetnarski, eds., Elsevier Science, New York, 155–275.
8.
England, G. L., Tsang, C. M., Dunstan, T., and Wan, R. ( 1997). “Drained granular material under cyclic loading with temperature-induced soil-structure interaction.” Appl. Mech. Rev., 50(10), 553–579.
9.
Goddard, J. D., and Bashir, Y. M. ( 1990). “On Reynolds dilatancy.” Recent developments in structured continua, D. De Kee and P. N. Kaloni, eds., Vol. II, Longman's, London, 23–35.
10.
Gudehus, G. ( 1996). “A comprehensive constitutive equation for granular materials.” Soils and Found., 36(1), 1–12.
11.
Guo, P. J. ( 2000). “Modelling granular materials with respect to stress-dilatancy and fabric: A fundamental approach.” PhD dissertation, Civ. Engrg. Dept., University of Calgary, Alta., Canada.
12.
Jenkins, J. T., and Strack, O. D. L. ( 1993). “Mean-field inelastic behaviour of random arrays of identical spheres.” Mech. of Mat., 16, 25–33.
13.
Mastuoka, H., and Takeda, K. ( 1980). “A stress-strain relationship for granular materials derived from microscopic shear mechanisms.” Soils and Found., 20(3), 45–58.
14.
Mulilis, J. P., Seed, H. B., Chan, C. K., Mitchell, J. K., and Arulanandan, K. (1977). “Effects of sample preparation on sand liquefaction.”J. Geotech. Engrg. Div., ASCE, 103(2), 91–108.
15.
Nemat-Nasser, S. ( 1980). “On behaviour of granular soils in simple shear.” Soils and Found., 20(1), 59–73.
16.
Nemat-Nasser, S., and Shokooh, A. ( 1979). “A unified approach to densification and liquefaction of cohesionless sand in cyclic shearing.” Can. Geotech. J., Ottawa, 659–678.
17.
Nemat-Nasser, S., and Takahashi, K. (1984). “Liquefaction and fabric of sand.”J. Geotech. Engrg., ASCE, 110(9), 1291–1306.
18.
Oda, M. ( 1972). “The mechanism of fabric changes during compressional deformation of sand.” Soils and Found., 12(2), 1–18.
19.
Oda, M. ( 1974). “A mechanical and statistical model for granular materials.” Soils and Found., 14(1), 1–13.
20.
Oda, M., Nemat-Nasser, S., and Konishi, J. ( 1985). “Stress-induced anisotropy in granular masses.” Soils and Found., 25(3), 85–97.
21.
Pradhan, T. B. S., Tatsuoka, F., and Sato, Y. ( 1989). “On stress dilatancy equations of sand subjected to cyclic loading.” Soils and Found., 29(1), 65–81.
22.
Rowe, P. W. ( 1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc., Royal Soc., London, 269A, 500–527.
23.
Wan, R. G., and Guo, P. J. ( 1998). “Simple constitutive model for granular soils: Modified stress-dilatancy approach.” Comp. and Geotechnics, 22(2), 109–123.
24.
Wan, R. G., and Guo, P. J. ( 1999a). “A pressure and density dependent dilatancy model for granular materials.” Soils and Found., 39(6), 1–11.
25.
Wan, R. G., and Guo, P. J. ( 1999b). “Description of macroscopic stress-dilatancy in a granular assembly with microstructure.” Proc., 13th ASCE Engrg. Mech. Div. Spec. Conf., Johns Hopkins University, Baltimore, on CD-ROM.
26.
Wan, R. G., and Guo, P. J. ( 2001). “Effect of microstructure on undrained behaviour of sands.” “Can. Geotech. J., Ottawa, 38, 16–28.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 11November 2001
Pages: 1106 - 1116

History

Received: May 15, 2000
Published online: Nov 1, 2001
Published in print: Nov 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Pei
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Calgary, AB, Canada T2N 1N4. E-mail: [email protected]
Res. Engr., C-CORE, Memorial Univ. of Newfoundland, NF, Canada A1B 3X5. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share