p
a
(t)
p
o
=
V
o
V
a
(t)
1+
t
p
o
dp
a
(t)
dt
t = 0
- 1 (5)
This relationship has been introduced in the
stretch/blow molding finite element code BLOWUP (10)
in which the rheological behavior of the PET is
represented by a viscoelastic constitutive equation of
Oldroyd-B type. For the calculation of p
a
(t) using the
relationship (5), we proceed as follows:
. inflation at a given specific flow-rate of a preform which
has not been heated and measurement of the initial slope of
the recorded pressure curve,
. computation of the initial internal volume of the preform
V
o
,
. computation of the internal volume of the preform V
a
(t)
at each time step and application of (5).
Application of preform free inflation
From the first results of preform free inflation
issued from numerical simulation it appears that the
expansion of the preform and especially the radial
expansion is unlimited. This problem, which is not
observed experimentally, occurs because the strain-
hardening phenomenon of the material is not taken into
account in the numerical model. Strain-hardening is related
to the development of cristallinity under biaxial stretching.
The problem of coupling between microstructural
evolution and thermomechanical history still remains an
open issue. It is not the goal of the present article to
discuss such problems. However, a simple model which is
able to take into account “in a certain sense” the strain-
hardening phenomenon has been tested. The relation
proposed by G’Sell (11) is based on the assumption that
the viscosity depends on the generalized strain. The
computed differential inflation pressure and the measured
one at T=105 °C are plotted in Figure 9. We note that the
agreement is fair between the two curves except in the last
part. Experiments have shown that anisotropy occurs
during the development of cristallinity. That’s why axial
expansion still continues while radial expansion is blocked.
The proposed model induces isotropic strain-hardening. It
results that the expansion of the bubble is limited in the
same manner in all directions. If the volume of the preform
remains constant, the pressure increases according to the
relation (5).
Conclusion
Experimental work has been conducted on an
instrumented blow molding machine. Process parameters
such as the preblowing delay and the velocity of the stretch
rod have exhibited a significant influence on the thickness
distribution in the final product. In addition, the use of
contacts sensors has permitted to identify the kinematic of
confined preform inflation .
A simplified model of an air volum free blowing
has been developed and introduced in a finite element
code. Due to results issued from numerical simulations, it
appears that coupling between microstructural evolution
and thermomechanical history should be the next issue of
this work.
Acknowledgments
This research was supported by SIDEL COMPANY and
the French "Ministère de la recherche" (MRT n° 90A 136)
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