Application of the exact constitutive relationship of modified Cam clay to the undrained expansion of a spherical cavity |
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| Authors: | Vincenzo Silvestri Ghassan Abou‐Samra |
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| Institution: | Department of Civil, Geological, and Mining Engineering, Ecole Polytechnique, P.O. Box 6079, Station Centre‐Ville, Montréal, Que., Canada H3C 3A7Professor. |
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| Abstract: | The modified Cam clay (MCC) model is used to study the response of virgin‐compressed clay subjected to undrained triaxial compression. The MCC constitutive relationship is obtained in a closed form. Both elastic and plastic deviatoric strains are considered in the analysis. The solution allows to obtain total and effective stress paths followed by the clay in undrained spherical expansion. Pore water pressures are determined from the difference between total and effective mean stresses. For illustration purposes, the analysis is also applied to the well‐known reconstituted normally consolidated London clay and the results are compared with the recently published data obtained by a numerical approach. In addition, the Almansi large strains are used in the analysis, as these allow to obtain limit expansion and pore pressures, whereas both small‐strain and logarithmic‐strain approaches do not permit to determine them. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | modified Cam clay model constitutive relation elastic and plastic shear strains virgin‐compressed clay triaxial compression undrained expansion spherical cavity |
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