8.30 Surfaces - Strains - Tresca

ε_+,Tresca

Equivalent strain on the positive side of the surface (i.e. side in direction of positive surface axis z)

${\epsilon }_{+}=\frac{\sqrt{({\epsilon }_{x,+}-{\epsilon }_{y,+}{)}^2+{\gamma }_{xy,+}^2}}{1+\nu }$

At the same time, the equivalent strain according to Rankine is analyzed (see the following Chapter 8.31). If a larger strain is reached with this hypothesis, this value is shown in table column E.

ε_−,Tresca

Equivalent strain on the negative side of the surface

${\epsilon }_{-}=\frac{\sqrt{({\epsilon }_{x,-}-{\epsilon }_{y,-}{)}^2+{\gamma }_{xy,-}^2}}{1+\nu }$

If the hypothesis by Rankine results in a larger equivalent strain, this value is shown in column F.

ε_Tresca

Maximum equivalent strain on the positive or negative side of the surface (columns E and F)