On the analytical solutions for the three-invariant Cam clay model

The analytical solutions are presented for a generalized shear strain, based on the three-invariant Cam clay model. The solutions are derived for an undrained loading by adopting the assumption of incompressibility, which is valid for any fully saturated soil. Two loading histories are considered: t...

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Bibliographic Details
Published in:International journal of plasticity 2002-01, Vol.18 (8), p.1061-1082
Main Authors: Perić, Dunja, Ayari, Mohammed A.
Format: Article
Language:English
Subjects:
Analytical solutions
Constitutive behavior
Elastic–plastic material
Geological material
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Summary:The analytical solutions are presented for a generalized shear strain, based on the three-invariant Cam clay model. The solutions are derived for an undrained loading by adopting the assumption of incompressibility, which is valid for any fully saturated soil. Two loading histories are considered: the so-called proportional and circular loading. They correspond to the situations where Lode's angle θ is either constant or changing during loading, respectively. The maximum possible change in Lode's angle for any circular loading is equal to π⧸3 due to plastic isotropy. Failure occurs within this segment only for the cases which are loaded from higher initial values of the overconsolidation ratio. The solutions presented here complete the picture of the undrained stress–strain-strength behavior for the soft clays by defining the analytical relationship between a shear strain and a stress ratio.
ISSN:0749-6419
1879-2154
DOI:10.1016/S0749-6419(01)00028-6