TECHNICAL NOTES
Aug 1, 1990

Shear Stress‐Strain Curve Generation from Simple Material Parameters

Publication: Journal of Geotechnical Engineering
Volume 116, Issue 8

Abstract

The commonly used hyperbolic function is known to be deficient in accurately modeling failure even though it is easily fitted to the initial conditions. To correct that deficiency, a modified hyperbolic function which includes a power term is proposed. The modified hyperbolic function is shown to offer more versatility and accuracy in modeling shear stress-strain behavior in both monotonic and cyclic loading conditions; at both low and high strain levels. A plot of the shear stress-strain curves generated using the proposed equation is included and discussed. It is shown that the generated shear stress-strain curves fit the range of values typically adopted for sands and clays. Equivalent viscous dampings for a nonlinear, hysteretic material are computed for the curves generated with the modified hyperbolic equation. A plot of variations of damping ratios with strain level is included to illustrate the versatility of the modified hyperbolic equation in fitting the range of values typically used for sands and clays.

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References

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Das, B. M. (1985). Principles of geotechnical engineering, PWS Publishers, Boston, Mass.
2.
Hardin, B. O., and Drnevich, V. P. (1972). “Shear modulus and damping in soils: Design equations and curves.” J. Soil Mech. and Found. Engrg. Div., ASCE, 98(7), 667–692.
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Seed, H. B., and Idriss, I. M. (1970). “Soil moduli and damping factors for dynamic response analyses.” Report No. 70/10, Earthquake Res. Ctr., Univ. of California, Berkeley, Calif.
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Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 116Issue 8August 1990
Pages: 1255 - 1263

History

Published online: Aug 1, 1990
Published in print: Aug 1990

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Authors

Affiliations

Jean H. Prevost, Member, ASCE
Prof., Dept. of Civ. Engrg. and Operations Res., Princeton Univ., Princeton, NJ 08544
Catherine M. Keane, Student Member, ASCE
Grad. Student, Dept. of Civ. Engrg. and Operations Res., Princeton Univ., Princeton, NJ

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