Of the two rolls that make a forward or reverse roll coating gap or ni
p (negative gap), one is often covered by a layer of more-or-less defo
rmable elastomer Liquid carried into the converging side of the nip ca
n develop high enough pressure to deform the elastomer cover, which ch
anges the nip profile and alters the velocity and pressure fields in t
he nip. This elastohydrodynamic coupled action is not yet well underst
ood Theoretical modeling has to take into account both the viscous flo
w and the elastic deformation in order to predict the relation of coat
weight to roll loading and the rheological properties of the coating
liquid and of the roll cover Theoretical modeling in the same way shou
ld predict ribbing behavior In this work, the flow is described by the
lubrication approximation, and the elastic deformation by three diffe
rent models: Hookean and neo-Hookean (ideal elastomer elasticity) spri
ngs oriented radially, which constitute one-dimensional models, and a
layer in Hookean plane strain, which is a more realistic volume-conser
ving, two-dimensional model. The predictions of the models are compare
d, and their relative merits are analyzed in the light of available ex
perimental data.