Analytical Solutions for a Three-Invariant Original Cam Clay Model Dunja Perić Assistant Professor, Department of Civil Engineering, Kansas State University, Manhattan, Kansas, U.S.A. peric@ksu.edu Bhavik R. Shah Graduate Student, Department of Civil Engineering, Kansas State University, Manhattan, Kansas, U.S.A. and Mbakisya A. Onyango Graduate Student, Department of Civil Engineering, Kansas State University, Manhattan, Kansas, U.S.A.

Analytical solutions are derived for a three-invariant original Cam clay model subjected to proportional and circular drained and undrained loading histories. The solutions contain analytical expressions for a generalized shear strain, a volumetric strain and/or an excess pore pressure. Only straight proportional total stress paths are considered, while in the case of circular paths the maximum change in Lode’s angle is limited either by the failure or by the plastic isotropy. A comparison among analytical solutions of original and modified Cam clay models and experimental data confirms that the increased accuracy of the later model is due to its increased physical and mathematical complexity.

Keywords: analytical solutions; circular and proportional paths; three-invariant Cam clay models.

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