Sw. Lee et Jr. Youn, Characterization of short glass fiber filled polystyrene by fiber orientation and mechanical properties, MACRO SYMP, 148, 1999, pp. 211-227
A quasi-steady state, non-isothermal, compressible, inelastic, and creeping
flow of polymer melt into a thin cavity is analyzed to predict fiber orien
tation states. Modified Cross model and Tait's state equation are adopted t
o consider shear-thinning behavior and compressibility of the polymer melt.
Second order tensors are introduced to describe 3-dimensional fiber orient
ation. Flow-induced fiber orientation can be predicted by solving the equat
ions of change for the orientation tensor with a suitable closure approxima
tion. The orthotropic closure is applied except for the case of low interac
tion coefficient. Fiber orientation develops mainly due to shear flow in th
e skin layer and due to stretching effect in the core layer. It turns out t
hat the compressibility, which induces additional velocity gradients during
packing, reduces development of the fiber orientation, Results are depende
nt upon the magnitude of the interaction coefficient. The larger the intera
ction coefficient, the smaller the orientation development and the effect o
f compressibility. To predict orientation dependent mechanical properties,
the orientation averaging for an arbitrary orientation is carried out from
the properties of a transversely isotropic unit cell. The compressibility r
educes the axial modulus and increases the transverse modulus. Opposite tre
nds are observed for thermal expansion coefficients. It is also observed th
at the consideration of compressibility reduces the overall anisotropy of t
he molded product. Effects of compressibility on mechanical properties of t
he parts are reduced as the interaction coefficient becomes larger.