Melts of linear polyethylenes (HDPE) have broad retardation and relaxation spectra that
can be determined by combining oscillatory and long duration creep/creep recovery tests. For a commercial
HDPE the necessary sample preparation (stabilization), testing (at 170 °C), and data conversion are
described. For long time testing incomplete creep/creep recovery is preferred because the strain is kept
within the linear range and reaches a final, constant value. The measured recoverable compliance,
(t),
is converted into a discrete retardation spectrum {L
i
, τ
i
‘}. For the short time range the dynamic moduli
are measured and converted into the dynamic compliances and finally the retardation spectrum L(τ‘).
Both spectra overlap and form a combined spectrum over 7.5 decades of retardation time τ‘. From this
the dynamic compliances are recalculated and converted into the dynamic moduli. These are used for
computing the weighted relaxation spectrum, τH(τ), ranging from τ = 0.01−2.5 × 105 s. τH(τ) has a
maximum at τ = 104 s, explaining the difficulties in characterizing HDPE melts. The viscosity functions
η(t) and the first normal stress functions Ψ1(t) are measured at shear rates between 10-3 and 10 s-1 and
compared with their limits for zero shear rate, η0(t) and
(t), respectively, predicted from H(τ). The
measured results are close to these predictions, but only at short times, such that the equilibrium values
for t → ∞, η0 and Ψ1,0, are never reached in such tests. In contrast, creep/creep recovery reveals η0 =
113.5 kPas, the (high!) linear equilibrium compliance J
e = 0.05 Pa-1, and 2η0
2
J
e = Ψ1,0 = 1.3 × 109
Pa s2. The latter value coincides well with the one calculated from the second moment of H(τ).