Paper to the Polymer Processing Society European Meeting, Strasbourg, 29th-31st August, paper 5-3.
S F Bush
Introduction
To view the introduction, please click on the link: ModellingLace
S F Bush
To view the introduction, please click on the link: ModellingLace
S F Bush with O K Ademosu, D R Blackburn and F Yilmaz
To view the introduction, please click on the link: LFRmoldings
S F Bush
Arguably the main problems in injection moulding reside in post-moulding distortion, manifested as shrinkage, warping and sinking. A major contribution to these problems is the existence of non-equilibrium conformations or shapes of the polymer chains in the post-mould state. As is well-known, the degree of this non-equilibrium condition varies throughout the moulding, usually being greatest in the wall regions closest to the gate. This variation arises essentially from the many large differences in strain rate experienced by a chain flowing into and within a mould, coupled with the fact that production rates of cooling do not, in general, allow chains time to fully relax while still in the fluid state.
During the injection process, the conformation of the chains, particularly their degree of entanglement, determines, with the temperature, the local viscosity. Both viscosity and conformation change with time and from point to point. In fact chain shape (and therefore viscosity) is the product of local conditions inherited from upstream. Mathematical models of injection moulding, however, customarily treat viscosity, where it is not taken as constant, as an empirical function of the local variables usually a principal strain rate and temperature.
By contrast the approach adopted by this paper is to employ a formulation which treats chain conformation and viscosity as dependent variables to be calculated within the computation along with the usual microscopic variables, namely bulk velocities and temperature. The chain shape is characterised by variables whose local rates of change are functions of the shape variables themselves, the velocity gradients and temperature. The chain shape in a finite region of the mould at any instant is then obtained as the resultant of the local rate of change and values of the chain shape convected into the region from upstream. The local viscosity and elasticity are then obtained. In this way we both obtain a prediction of molecular orientation and account directly for the viscosity and elasticity memory.
The results of this formulation are presented as simulations of three-dimensional injection mouldings of a variety of basic shapes. The simulation model is part of a design system which includes a graphical interpreter of mould cavity detail. Velocities, temperatures, pressure and molecular orientation are displayed by the post-processor as colour-graphic contours at various stages of mould-filling.
See also the section on Polymer Morphology & Fibre Reinforcement Mechanisms.
S F Bush
A large number of 3 mm plaques have been made and tested using commercial resin formulations and a variety of potential reinforcements.
The resin formulations were modified by the addition of a diol, ethylene glycol, or triol, glycerol, and initially different catalyst concentrations were explored. These modifications were designed to alter the cure rate and flexural modulus with unpredicted effects on the strength.
The reinforcements used were available commercial types: 1.5 mm fibres sized for urethane applications; 3 and 6 mm fibres sized for olefine applications; hammer milled glass of approximmately 150 μ in equivalent diameter; wood flour of maybe 20 to 50 μ equivalent diameter.
A number of post-curing regimes have also been explored. These involve some hours of heating at 100 and 150 oC broadly corresponding to temperatues likely to be attained near an engine.
Flexural strengths and flexural moduli have been determined by 3 point bending of 60 x 10 x 3 mm strips. Reasonable consistency has been obtained particularly when allowance is made for the occasional cavity present on the breaking section. For this reason it is thought that the strength results are conservative, tending if anything to underestimate the potential strength.
See also the section on Polymer Morphology & Fibre Reinforcement Mechanisms.
S F Bush
See also the section on Polymer Morphology & Fibre Reinforcement Mechanisms.