ID Finite Strain Consolidation Theory

Let X = XgEK and x =XiCi be position vectors in the reference and current configurations (Fig. 10.4), respectively. We assume that in our ID problem the deformation exists only in the xs-direction, i.e.. 

Note that gravity acts in the negative X3 direction, and we have b = (0, 0, —g). 

The differential terms with respect to X and X are all null. The components with respect to X of the nominal effective Cauchy stress II and the nominal pore pressure P given by (6.27) are obtained as 

Following the sign convention used in soil mechanics, we can write the mean effective stress as p = — 33. Then the equilibrium equation (6.29) is given by 

10 Long-Term Consolidation of Bentonite and a Homogenization Analysis 

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