Nonlinear rheological properties of a tightly-entangled solution of persist
ent macromolecules are calculated within the context of a tube model. It is
shown that the curvature stress in highly deformed solutions of such chain
s is dominated by the contributions of deformation-induced "hairpins", i.e.
, rare but very tightly curved segments of the deformed chain conformations
. The model is found to exhibit strain softening in shear deformations.