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This criterion taking into accounts the all three principal shear stress into account. In this case the yield function is given by:

 

                                           

or in terms of the so-called equivalent stress as

 

                                               

where

 

 

 

For plane strain applications assuming no plastic volume change:

 

                                                     

whereas under triaxial conditions:

 

                                                       

where cu is the undrained "cohesion" or shear strength of the soil.

 

 

When plotted in three-dimensional principal stress space the yield surface depicts a cylinder parallel to the hydrostatic axis as shown in Figure 40.

 

 

 

 

 

 

 

 

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