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)

Abstract

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
Volume21
Issue number12
DOIs
Publication statusPublished - Dec 2005
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint

Dive into the research topics of 'Solution existence conditions for elastoplastic constitutive models of granular materials'. Together they form a unique fingerprint.

Cite this