TECHNICAL PAPERS
Jun 1, 1989

Elasticity of Particulate Materials

Publication: Journal of Geotechnical Engineering
Volume 115, Issue 6

Abstract

Problems associated with isolation, measurement, and modeling the elastic behavior of particulate materials are discussed. Because of pervasive yielding, exclusively elastic behavior of particulate materials is restricted to infinitesimal increments of unloading. Three‐dimensional elastic constitutive equations are formulated in terms of two scalar functions representing effects of void ratio and stress history, a reference fabric matrix, a stress‐compliance matrix, and a Poisson's ratio matrix. The stress‐compliance matrix accounts for the discovery in 1979 that elastic shear stiffness is independent of stress normal to the plane of shear. Transformation of coordinates and the definition of reference fabric are carefully considered in the developed formulation.

Get full access to this article

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

References

1.
Deresiewicz, H. (1958). “Stress‐strain relations for a simple model of a granular medium.” J. Appl. Mech., ASME, 25, 402–406.
2.
Duffy, J., and Mindlin, R. D. (1957). “Stress‐strain relations and vibrations of a granular medium.” J. Appl. Mech. Trans., ASME, 24, 585–593.
3.
Duffy, J. (1959). “A differential stress‐strain relation for the hexagonal close‐packed array of elastic spheres.” J. Appl. Mech., ASME, 26, 88–94.
4.
Hardin, B. O., and Black, W. L. (1966). “Sand stiffness under various triaxial stresses.” J. Soil Mech. and Found. Div., ASCE, 92(2), 27–42.
5.
Hardin, B. O., and Black, W. L. (1969). Closure to “Vibration modulus of normally consolidated clay,” J. Soil Mech. and Found. Div., ASCE, 95(6), 1531–1537.
6.
Hardin, B. O. (1971). “Programmed simple shear testing of soils.” Univ. of Kentucky Soil Mech. Series No. 8, July, 14 pp.
7.
Hardin, B. O. (1972). “Effects of strain amplitude on the shear modulus of soils.” Tech. Report No. AFWL‐TR‐72‐201, Air Force Weapons Laboratory, Kirtland Air Force Base, N.M., Nov., 63 pp.
8.
Hardin, B. O. (1978). “The nature of stress‐strain behavior for soils.” Proc. of the Geotechnical Division Specialty Conference on Earthquake Engineering and Soil Dynamics, ASCE, Pasadena, 1, 3–90.
9.
Hardin, B. O. (1980). “Discussion of anisotropic shear modulus due to stress anisotropy.” J. Geotech. Engrg., ASCE, 106(8), 956–958.
10.
Hardin, B. O., Hardin, K. O., and Schwab, C. V. (1988). “Triaxial compression, simple shear, and strength of wheat.” Paper No. 88‐4022 presented at Summer Meeting of ASAE, Rapid City, S.D., June, 34 pp.
11.
Lade, P. V., and Nelson, R. B. (1987). “Modelling the elastic behavior of granular materials.” Int. J. Num. Anal. Methods Geomech., 11, 521–542.
12.
Mindlin, R. D. (1949). “Compliance of elastic bodies in contact.” J. Appl. Mech. Trans., ASME, 16, A‐259–268.
13.
Roesler, S. K. (1979). “Anisotropic shear modulus due to stress anisotropy.” J. Geotech. Engrg., ASCE, 105(7), 871–880.
14.
Yu, P., and Richart, F. E., Jr. (1984). “Stress ratio effects on shear modulus of dry sands.” J. Geotech. Engrg., ASCE, Vol. 110, No. 3, Mar., pp. 331–345.
15.
Ziolkowski, D. P., Hardin, B. O., Schwab, C. V., and Ross, I. J. (1985). “Shear modulus of wheat at low strain amplitude.” Trans., ASAE, 28(3), 884–888.

Information & Authors

Information

Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 115Issue 6June 1989
Pages: 788 - 805

History

Published online: Jun 1, 1989
Published in print: Jun 1989

Permissions

Request permissions for this article.

Authors

Affiliations

Bobby O. Hardin, Fellow, ASCE
Prof. of Civ. Engrg., Univ. of Kentucky, Lexington, KY 40506
George E. Blandford, Member, ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Kentucky, Lexington, KY

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