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:
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(152) |
where the principal stresses are given by:
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(153) |
and where the "mean" and "deviator" stresses are
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(154) |
The invariants s and t are:
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(155) |
![]() |
(156) |
Substituting for 
and 
from (59) gives the function:
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(157) |
The Tresca criterion is obtained from (63) by putting 
to give:
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(158) |
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