T. Inoue et al., A RHEOOPTICAL STUDY ON POLYSTYRENE UNDER LARGE TENSILE DEFORMATION AROUND THE GLASS-TRANSITION TEMPERATURE, Macromolecules, 31(20), 1998, pp. 6977-6983
The tensile stress and the birefringence of polystyrene were measured
under elongation at a constant rate up to the elongation ratio of 4 at
115, 105, and 100 degrees C. The tensile stress was separated into tw
o component functions, designated with subscripts R and G, through a m
odified stress-optical rule, MSOR, considering the effect of finite ex
tensibility of the polymer chain on the stress dependence of the stres
s-optical coefficient. The R component represents the stress attribute
d to the polymer segment orientation and the G component to the twist
of the polymer chain. At 115 degrees C, the time dependence of the vis
cosity growth function of the two components, eta(ER)(+) and eta(EG)(), can be described in the framework of linear viscoelasticity except
for a steep increase of eta(ER)(+) at times longer than 1/(2(epsilon)
over dot), where (epsilon) over dot is the rate of elongation. It is w
ell-known that this type of steep increase is due to the strong increa
se of strain measured under elongation at a constant rate. At lower te
mperatures, eta(EG)(+) decreased with increasing strain rate when the
rate exceeds 1/1000 of the characteristic relaxation rate of the G com
ponent. The steady value of the elongational viscosity, eta(EG)((epsil
on) over dot), at various temperatures supported a master curve when e
ta(EG)((epsilon) over dot)/eta(EG)(0) is plotted against (epsilon) ove
r dot a(TG), where a(TG) is the shift factor for the G component deter
mined in dynamic viscoelastic measurements. On the other hand, eta(ER)
(+) is always close to the linear viscoelasticity except for the steep
rise at t > 1/(2(epsilon) over dot). The relaxation rate of the R com
ponent was enhanced in proportion to eta(EG)(0)/eta(EG)((epsilon) over
dot) when the G component showed thinning. Thus, MSOR analysis simpli
fies the complicated nonlinear viscoelastic response of amorphous poly
mers around the glass transition temperature.