Critical State Soil Mechanics - Original Cam-Clay Model

Original Cam-Clay Model

The Original Cam-Clay model is based on the assumption that the soil is isotropic, elasto-plastic, deforms as a continuum, and it is not affected by creep. The yield surface of the Cam clay model is described by the equation

$f(p,q,p_c) = q + M\,p\,\ln\left \le 0$

where is the equivalent stress, is the pressure, is the pre-consolidation pressure, and is the slope of the critical state line in space.

The pre-consolidation pressure evolves as the void ratio (and therefore the specific volume ) of the soil changes. A commonly used relation is

$e = e_0 - \lambda \ln\left$

where is the virgin compression index of the soil. A limitation of this model is the possibility of negative specific volumes at realistic values of stress.

An improvement to the above model for is the bilogarithmic form

$\ln\left = \ln\left = - \tilde{\lambda} \ln\left$

where is the appropriate compressibility index of the soil.

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