Constitutive relationships for anisotropic materials are considered to
describe the viscous flow of fiber-reinforced, thermoplastic composit
es during forming. The fully anisotropic and the orthotropic cases are
first presented. The special case of a transversely isotropic viscous
material, which is of particular interest to the deformation of assem
blies of oriented fibers suspended in a viscous fluid, is then investi
gated and the correspondence between two approaches found in the liter
ature on the subject is established.