, Volume 53, Issue 2, pp 85–100 | Cite as

Elasto-Plastic behaviour in plane strain problems for granular media

  • P. Wilde


In the paper a simple mathematical model for granular media is presented. It is assumed that the critical surface corresponds to the Coulomb-Mohr description of ultimate behaviour and the yield condition is a family of piecewise smooth surfaces with edges corresponding to the edges of the critical surface. The existence of a surface similar to the critical surface on which there are no plastic volumetric strain increments in assumed. The hardening parameter is assumed as a linear combination of the plastic volumetric strain and the integral of the difference of maximum and minimum plastic strain increments.

An analytic solution for the case of compression and tension in plane strain case is given.

The relations are generalized to the three-dimensional case with rotating principal axes of stresses.

The solution for shear is given as an illustration.

The behaviour when the stresses are on the edge are discussed and in detail the problem of compression in the axially-symmetric case is considered. From comparison of experimental results in compression in the triaxial test the parameters for sand are estimated.


Plane Strain Volumetric Strain Triaxial Test Strain Increment Granular Medium 
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Elastro-plastisches Verhalten granularer Medien bei ebenem Verzerrungszustand


Es wird ein einfaches mathematisches Modell für das Verhalten granularer Medien vorgestellt. Dabei wird das Fließkriterium von Coulomb-Mohr zugrunde gelegt; die Fließbedingung wird durch eine Familie stückweise stetiger Oberflächen dargestellt.

Eine analytische Lösung wird für Zug oder Druck im Falle eines ebenen Verzerrungszustands angegeben. Die Beziehungen sind auf den dreidimensionalen Fall verallgemeinert. Durch Vergleich mit Experimenten werden Stoffparameter für Sand abgeschätzt.


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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • P. Wilde
    • 1
  1. 1.Institute of HydroengineeringPolish Academy of SciencesGdansk-5Poland

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