Solution existence conditions for elastoplastic constitutive models of granular materials

Y. Yang, H. S. Yu, K. K. Muraleetharan

Research output: Journal PublicationArticlepeer-review

9 Citations (Scopus)


In this paper, the conditions of solution existence for stress rates under given strain rates are investigated. The focus of the solution existence investigation is on the non-associated flow rule and elastic stress-strain relationship. Granular materials characterized with strong non-associated plastic flows are used as a particular example for analysis. Various flow rules for granular materials are analyzed, including Rowe's, Roscoe's flow rules and their modified versions. In the elastic stress-strain relationships of materials, the effects of Poisson's ratio on solution existence are investigated. Both isotropic and anisotropic elasticity are considered. Given a granular material and its states, it is found that there exists a critical Poisson's ratio for a particular non-associated flow rule. When the Poisson's ratio of a material is above this critical Poisson's ratio, its constitutive model is susceptible to solution non-existence. It is suggested that special attentions should be paid to the selection of material Poisson's ratio and non-associated flow rule to ensure the existence of elastoplastic solutions.

Original languageEnglish
Pages (from-to)2406-2425
Number of pages20
JournalInternational Journal of Plasticity
Issue number12
Publication statusPublished - Dec 2005


  • Constitutive behavior(B)
  • Elastic-plastic material(B)
  • Granular material(B)
  • Solution existence

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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