TECHNICAL PAPERS
Jan 15, 2003

Variable Bulk Modulus Constitutive Model for Sand

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Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 129, Issue 2

Abstract

A quasi-linear elastic constitutive model is proposed to describe the behavior of sand well below failure. It is based on isotropic compression tests and captures the increase in stiffness due to confinement—a unique property that makes sand stiffer under certain applied loads. The model traces the increase in stiffness by describing the instantaneous bulk modulus in terms of the effective mean stress and two constitutive parameters: the initial bulk modulus and the ultimate volumetric strain. The validity of the model is examined by checking how closely the proposed mathematical formulation represents high quality isotropic compression tests reported in the literature.

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References

Kaliakin, V. N. (1999). APES home page, 〈http://www.ce.udel.edu/faculty/kaliakin/apes.doc.html〉.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
Qubain, B. S. (1999). “Stress-deformation behavior of footing foundations.” Ph.D. dissertation, Drexel University, Philadelphia.
Qubain, B. S., Kaliakin, V. N., and Martin, J. P. (2000). “Interaction of adjacent strip and spread footings on sand.” Proc., 14th Engineering Mechanics Symposium, Univ. of Texas, Austin, Tex.
Terzaghi, K., and Peck, R. B. (1967). Soil mechanics in engineering practice, 2nd Ed., Wiley, New York.
Varadarajan, A., and Mishra, S. S. (1980). “Stress-path dependent stress strain-volume change behaviour of a granular soil.” Proc., Int. Symposium on Soils Under Cyclic and Transient Loading, Swansea, U.K., A. A. Balkema, Rotterdam, The Netherlands, 109–119.
Vesic, A. B., and Clough, G. W.(1968). “Behavior of granular material under high stresses.” J. Soil Mech. Found. Div., 94(3), 661–688.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 129Issue 2February 2003
Pages: 158 - 162

History

Received: Aug 31, 2000
Accepted: Jun 10, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003

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Authors

Affiliations

Bashar S. Qubain, M.ASCE
President, GeoStructures, Inc., 985 Old Eagle School Road, Suite 502, Wayne, PA 19087; formerly, Chief Geotechnical Engineer, Valley Forge Laboratories, Inc., 6 Berkeley Road, Devon, PA 19333.
Victor N. Kaliakin, M.ASCE
Associate Professor of Civil and Environmental Engineering, Univ. of Delaware, Newark, DE 19716.
Joseph P. Martin, M.ASCE
Associate Professor and Head, Dept. of Civil and Architectural Engineering, Drexel Univ., Philadelphia, PA 19104.

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