  The Granular Integration Through Transients (GITT) formalism gives a
theoretical description of the rheology of moderately dense granular flows and
suspensions. In this work, we extend the GITT equations beyond the case of
simple shear flows studied before. Applying this to the particular example of
extensional flows, we show that the predicted behavior is somewhat different
from that of the more frequently studied simple shear case, as illustrated by
the possibility of non monotonous evolution of the effective friction
coefficient $\mu$ with the inertial number $\mathcal{I}$. By the reduction of
the GITT equations to simple toy-models, we provide a generalization of the
$\mu(\mathcal{I})$-law true for any type of flow deformation. Our analysis also
includes a study of the Trouton ratio, which is shown to behave quite similarly
to that of dense colloidal suspensions.
