Ry. Chang et Sy. Chiou, A UNIFIED K-BKZ MODEL FOR RESIDUAL-STRESS ANALYSIS OF INJECTION-MOLDED 3-DIMENSIONAL THIN SHAPES, Polymer engineering and science, 35(22), 1995, pp. 1733-1747
The flow-induced and thermally induced residual stresses during inject
ion molding of a thin part with complex geometries are predicted. The
injection molding process was considered to consist of a filling and a
post-filling stage (packing coupled with cooling). Additionally, the
analyses were applied to successive stages of the process. The model t
akes into account the viscoelasticity of the molding polymer, which ha
s been neglected in most previous works, because of the complexity of
its inclusion. A unified K-BKZ viscoelastic constitutive model, capabl
e of modeling both the fluid-rubbery state and the glass state of amor
phous polymers, was employed for simulating this problem. For the flow
-induced residual stress predictions of the filling stage, a quasi-ste
ady state approximation was employed for each element of the part, for
the calculation of stress profile and subsequent stress relaxation af
ter cessation of flow. Stress calculations were provided for the therm
ally induced residual stress predictions of the post-filling stage. Th
ese explicit calculations led to the results of pressure and temperatu
re distributions of the part during the post-filling stage into the vi
scoelastic constitutive model. Additionally, the pressure and asymmetr
ic temperature profiles of the post-filling stage were based on finite
element packing analysis coupled with a boundary element cooling anal
ysis of the molding process. Finally, the total residual stress in the
part was obtained via superposition of the flow-induced and thermally
induced residual stresses. An example is provided to demonstrate the
entire concept. The results indicate that thermally induced residual s
tress is higher than the flow-induced residual stress by one to two or
ders of magnitude.