On the elasticity and plasticity of dilatant granular materials

S A Nixon, H W Chandler

Research output: Contribution to journalArticle

15 Citations (Scopus)


We present a model which simulates the response of a granular material (made up of nonplastic grains) to small cyclic shear strain. The model is based upon a dissipation function representing energy dissipated as plastic deformation and a quadratic dilatancy rule describing the volume response which produces kinematic hardening. Elastic deformation is included in the model through a function describing the rate at which it is stored as deformation occurs. Two sets of experimental data (one for a shear test, the other for a circular loading test) are used to evaluate the accuracy of the model. For the shear test, both the shear strain-shear stress curve and the shear strain-volume strain curve are reproduced well. In the circular loading test, the principal strain response and volume response are modelled realistically. (C) 1999 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1397-1408
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Publication statusPublished - 1999


  • anisotropic material
  • constitutive behaviour
  • cyclic loading
  • elastic-plastic
  • granular material
  • SAND


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