TECHNICAL PAPERS
Nov 1, 1990

Instability and Plastic Flow of Soils. II: Analytical Investigation

Publication: Journal of Engineering Mechanics
Volume 116, Issue 11

Abstract

Based on the condition that a stable material is able to sustain a small perturbation in load, the stability of an elasto‐plastic granular material with non‐associated flow is analyzed, and necessary conditions for mechanical stability of saturated and partly saturated specimens are proposed. Using experimental data obtained from drained tests, the local yield and plastic potential surfaces are established. Their position shows the existence of a wedge where plastic loading occurs, while the second increment of plastic work is negative. Under drained conditions where strains are free to develop without restraint, instabilities cannot develop, and the material will be stable, even when Drucker's postulate is violated. For an elasto‐plastic material under undrained conditions with full or partial saturation, the proposed conditions show that instability may occur when the yield surface opens in the outward direction of the hydrostatic axis, and the material tends to compress. The experimental data supported the suitability of the proposed stability conditions to predict the instabilities created under undrained conditions.

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References

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Bishop, J. F. W., and Hill, R. (1951). “A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.” Philos. J., 42(327), 414–427.
2.
Castro, G. (1969). “Liquefaction of sands,” thesis presented to Harvard University, at Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Harvard Soil Mech. Series, 81).
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Drucker, D. C. (1951). “A more fundamental approach to stress‐strain relations.” Proc. First U.S. Nat. Congress of Appl. Mech., 487–491.
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Hill, R. (1958). “A general theory of uniqueness and stability in elasto‐plastic solids.” J. Mech. Physics Sol., 6, 236–249.
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Lade, P. V., Nelson, R. B., and Ito, Y. M. (1988). “Instability of granular materials with nonassociated flow.” J. Engrg. Mech., ASCE, 114(12), 2173–2191.
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Lade, P. V., and Pradel, D. (1990). “Instability and plastic flow of soils. I: experimental observations.” J. Engrg. Mech., ASCE, 116(11), 2531–2549.
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Mandel, J. (1964). “Conditions de stabilité et postulat de Drucker.” Proc. IUTAM Symp. Rheology and Soil Mech., Grenoble, France, 58–68 (in French).
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Pradel, D., and Lade, P. V. (1989). “Instability of sand under applied shear stresses.” Proc. of XXth Int. Conf. of Soil Mech. and Found. Engrg., Rio de Janeiro, Brazil, 743–748.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 11November 1990
Pages: 2551 - 2566

History

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

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Authors

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Daniel Pradel, Associate Member, ASCE
Sr. Engr., Lockwood‐Singh & Assoc., 1944 Cotner Ave., Los Angeles, CA 90025
Poul V. Lade, Member, ASCE
Prof., Dept. of Civ. Engrg., School of Engrg. and Appl. Sci., Univ. of California, Los Angeles, CA 90024‐1593

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