Abstract
The stress-plastic dilatancy relationship for Toyoura sand sheared under undrained triaxial conditions was analysed by use of Frictional State Theory. Under undrained conditions, plastic strain increments are counterbalanced by elastic strain increments. The linear stress ratio-plastic dilatancy relationships at different stages of sand shear were obtained by assuming that Poisson's ratio is a function of shear strain. Contrary to a drained condition, natural state parameter values are not special for characteristic points of sand behaviour under undrained conditions.
Highlights
Stress-dilatancy relationships for sands were widely investigated under drained conditions [e.g., 1-4]
Frictional State Theory makes it possible to define the natural state parameter [6] as an extension of the state parameter defined by Been and Jeffries [7]
Some undrained triaxial tests of Toyoura sand conducted by Verdugo [8] are analysed and stress-plastic dilatancy relationships are calculated. It is assumed, like in many sand models, that the elastic shear modulus is a function of void ratio and stress level
Summary
Stress-dilatancy relationships for sands were widely investigated under drained conditions [e.g., 1-4]. At failure and post-failure shearing of sand under drained triaxial compression, the natural state parameter value equals almost zero. This may be useful for sand modelling in the future. Some undrained triaxial tests of Toyoura sand conducted by Verdugo [8] are analysed and stress-plastic dilatancy relationships are calculated. In this work, it is assumed, like in many sand models, that the elastic shear modulus is a function of void ratio and stress level. It will be shown that the stressplastic dilatancy relationship is characteristic for different stages of shear
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