Microplane modelling and particle modelling of cohesive-frictional materials

  • E. Kuhl
  • G. A. D’Addetta
  • M. Leukart
  • E. Ramm
Part of the Lecture Notes in Physics book series (LNP, volume 568)


This paper aims at comparing the microplane model as a particular representative of the class of continuous material models with a discrete particle model which is of discontinuous nature. Thereby, the constitutive equations of both approaches will be based on Voigt’s hypothesis defining the strain state on the individual microplanes as well as the relative particle displacements. Through an appropriate constitutive assumption, the microplane stresses and the contact forces can be determined. In both cases, the equivalence of microscopic and macroscopic virtual work yields the overall stress strain relation. An elastic and an elasto-plastic material characterization of the microplane model and the particle model are derived and similarities of both approaches are illustrated.


Contact Force Tangential Contact Granular Assembly Contact Vector Plastic Multiplier 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • E. Kuhl
    • 1
  • G. A. D’Addetta
    • 1
  • M. Leukart
    • 1
  • E. Ramm
    • 1
  1. 1.Institute of Structural MechanicsUniversity of StuttgartStuttgartGermany

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