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 language | English |
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Pages (from-to) | 2406-2425 |
Number of pages | 20 |
Journal | International Journal of Plasticity |
Volume | 21 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2005 |
Externally published | Yes |
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