= Johnson-Segalman steady viscometric functions
{c}
{title2=$D=1+(1-\alpha^2)\tau^2\dot\gamma^2$}
For stress $-pI+\alpha G_0A+2\mu_0E$ and slip derivative $D_tA+\Omega A-A\Omega-\alpha(EA+AE)=-(A-I)/\tau$, the steady <viscometric functions> are $\mu=\mu_0+\alpha^2G_0\tau/D$, $\psi_1=2\alpha^2G_0\tau^2/D$ and $\psi_2=-(1-\alpha)\psi_1/2$. Solving the three symmetric xy conformation equations gives $A_{xy}=\alpha\tau\dot\gamma/D$, $A_{xx}=1+(1+\alpha)\tau\dot\gamma A_{xy}$, $A_{yy}=1-(1-\alpha)\tau\dot\gamma A_{xy}$ and $A_{zz}=1$.
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