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Relationship Between Dilatancy, Stresses and Plastic Dissipation in a Granular Material with Rigid Grains

Published online by Cambridge University Press:  01 January 1992

Pierre Evesque  and
Christian Stefani
Pierre Evesque
Affiliation:
Laboratoire de M6canique: Sols-Structures-Matériaux, Ecole Centrale Paris, F-92295 CHATENAY-MALABRY Cedex, FRANCE
Christian Stefani
Affiliation:
Laboratoire Central des Ponts et Chaussées, Antenne d'Orly, 58 boulevard Lefebvre, 75732 PARIS Cedex 15, FRANCE
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Abstract

By considering a drained cohesionless granular sample made up of rigid grains and submitted to a triaxial test, we derive an equation relating the dilatancy K, the deviatoric stress q and the confining pressure p to the energy losses D plasticdue to plastic yielding. We demonstrate that the system is contracting (K ≤ 0) at q=0, when q is increasing and that spontaneous uncontrolled yielding begins occurring when dilatancy K is maximum. We also demonstrate the existence of the characteristic state introduced by Luong and Habib and the existence of the critical state of Schofield and Wroth. We give at last a method to determine the plastic losses during a triaxial cell test using the experimental data.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 291: Symposium O – Materials Theory and Modeling , 1992 , 473
Copyright
Copyright © Materials Research Society 1993

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References

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