Mohr-Coulomb and Tresca criterions

<< Click to Display Table of Contents >>

Navigation:  Nonlinear analysis formulation > Failure criteria >

Mohr-Coulomb and Tresca criterions

 

In principal stress space, this criterion takes the form of an irregular hexagonal cone. This criterion can be written in principal stresses as:

 

 

p_60_image006

(152)

                             

where the principal stresses are given by:

 

 

p_60_image008

 

 

(153)

                                               

and where the "mean" and "deviator" stresses are

 

 

p_60_image010

 

 

(154)

                                                   

 

The invariants s and t are:

 

 

p_60_image012

(155)

 

 

p_61_image002

(156)

             

 

Substituting for p_61_image004 and p_61_image006 from (59) gives the function:

 

 

p_61_image008

(157)

                 

The Tresca criterion is obtained from (63) by putting p_61_image010to give:

 

 

p_61_image012

(158)

 

 

 

 

 

 

 

 

 

© 2020 GeoStru Software