So far, as a yield criterion on a deviatoric plane, Mises criterion has been widely used in soil as well as in metal in the prediction of plastic deformation behaviour. However, the criterion similar to Mohr-Coulomb fits well in soil rather than Mises criterion. Then, in our simulation of deformation behaviour, we took up the criterion obtained from the stress state at fracture and referred to the experimental results given by Lade & Duncan to estimate the deformation behaviour. In their experiment, compression tests were performed within the range from one dimensional compression to equi-two dimensional compression. On the criterion,
J2 is represented as a function of
J3 where
J2 and
J3 are the second and the third invariants of deviatoric stress respectively. In this paper, first, the method for including the criterion into analysis is introduced. Second, the strain developments in these compression processes are simulated and compared with the experimental values. The results in simulation are not always agree with experimental ones. However, stable limits in these compressions are situated nearly on a straight line (a critical line) in the yield plane composing of hydrostatic pressure and equivalent deviatoric stress. Third, we examine what criterion gives good correlations between simulation and experiment. The dependence of
J2 on
J3 in the criterion is similar on the whole to that obtained from the fracture state, but in detail, the difference is admitted between them.
View full abstract