E. Krempl, SOME GENERAL-PROPERTIES OF SOLID POLYMER INELASTIC DEFORMATION-BEHAVIOR AND THEIR APPLICATION TO A CLASS OF CLOCK MODELS, Journal of rheology, 42(4), 1998, pp. 713-725
Results of macroscopic experiments on the inelastic deformation behavi
or of solid polymers are used to establish general properties. They in
clude nonlinear rate sensitivity in the inelastic range in monotonic l
oading and the transition from primary, to primary and secondary, and
to primary and secondary and tertiary creep as the creep stress level
increases beyond :he quasilinear region. Consistent with the notion of
a solid it is presumed that a nonzero stress can be sustained at rest
. The rest stresses at which relaxation tests terminate form the relax
ation boundary. It is suggested that this relaxation boundary has the
appearance of a nonlinear stress-strain curve. These properties are us
ed as criteria in evaluating some types of ''clock'' models where ordi
nary time in the kernels of linear viscoelastic integral representatio
ns is replaced by a transformed time. It is a function of either the i
nvariants of strain or the invariants of stress. It is shown that thes
e models cannot reproduce the change in the creep properties as stress
level increases. Creep always terminates. For large times asymptotic
solutions hold linear rate sensitivity and a linear relaxation boundar
y are predicted. Nonlinear rate sensitivity can be modeled before the
asymptotic solution is reached. (C) 1998 The Society of Rheology.