Applicability and limits of time-resolved rheometry have been analyzed
for polymers which undergo change during a rheological measurement. P
rocesses such as gelation, phase transition, polymerization or decompo
sition affect the molecular mobility in these polymers and therefore t
he rheological experiment. We propose to choose the well known effect
of heating (or cooling) during the relaxation and analyze it as a para
digm for rheometry on samples with changing molecular mobility. The te
mperature change does not cause permanent changes in sample structure,
but it affects the molecular mobility and it significantly interferes
with the measurement if the temperature changes occur too fast. In th
is study, time-resolved mechanical spectroscopy (TRMS) was used to exp
erimentally investigate the effect of heating on the relaxation behavi
or of a typical polycarbonate sample. Each data point in a cyclic freq
uency sweep (CFS) was taken at a different state of the material; the
data were interpolated using an interactive computer program. In this
fashion, a single TRMS experiment yielded a master curve over eight de
cades. A model for relaxation under non-isothermal conditions showed t
he limitations of TRMS. It could be demonstrated that TRMS worked well
for sufficiently small mutation numbers, i.e., for sufficiently small
changes during the measurement. A critical mutation number of 0.9 was
determined for the non-isothermal case beyond which the material resp
onse became non-linear. This corresponds to a calculated relative chan
ge of the shear stress amplitude of about 90%.