An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand
✍ Scribed by Silvia Imposimato; Roberto Nova
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 327 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1082-5010
No coin nor oath required. For personal study only.
✦ Synopsis
The paper investigates the possibility of the occurrence of a multiplicity of homogeneous responses of soil specimens under the same incremental loading, and the associated non-controllability of the imposed loading path.
It is shown that for non-associated elastoplastic strain-hardening constitutive laws, such a possibility exists even in the hardening regime. Only when the stiffness matrix is positive-de®nite is the incremental solution unique for any loading programme.
A particular constitutive model is chosen and the shape of the loci of non-uniqueness is calculated for various loading programmes. It is shown that the conditions for the occurrence of a shear band and of a peak of the deviator stress in a triaxial undrained test can be seen as special cases of the theory presented. Accordingly, the so-called `instability line' concept in undrained conditions is generalized.