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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_image010

to give:

p_61_image012 (158)

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