Ry. Chang et Sy. Chiou, INTEGRAL CONSTITUTIVE MODEL (K-BKZ) TO DESCRIBE VISCOELASTIC FLOW IN INJECTION-MOLDING, International polymer processing, 9(4), 1994, pp. 365-372
A novel theory which employs the K-BKZ viscoelastic integral constitut
ive model was developed in this study for simulating the non-isotherma
l injection molding filling process and the frozen stresses of a three
-dimensional thin part. The simulation of viscoelastic model in such a
problem has not yet been discussed in most previous works as a result
of the complexity of this problem. A quasi-steady approximation conce
pt was developed in the present investigation for solving the non-isot
hermal filling process via K-BKZ viscoelastic integral constitutive mo
del. Additionally, the numerical method of flow field was based on the
control volume finite element method. The flow field of generalized N
ewtonian fluid was used as the initial guess of flow kinematics. The q
uasi-steady state approximation was introduced for each element to cal
culate the flow kinematics and stress profile from the K-BKZ integral
constitutive model. The finite difference method with streamline upwin
d characteristic was adopted here for calculating the temperature fiel
d of process. When the cavity is fully filled, the subsequent non-isot
hermal stresses would relax after cessation of flow. Thereby, the froz
en stresses (or frozen birefringence) could be obtained.