A Space-Time Discontinuous Galerkin Method for Convection and Diffusion in Injection Moulding

International audienceIn this article, we investigate a space-time finite element method for solving the convection-diffusion-reaction equation. This method is based on a discontinuous Galerkin technique using low order elements in space and high order elements in time. The suggested method is applied to solve the transport equation and the heat equation in 3D mould filling. An original mixed approach is investigated to solve the steady diffusion equation. The proposed numerical scheme is validated through analytical examples, and then applied to 3D industrial simulations in injection moulding process. Several examples show that the computed solutions are stable, robust and fast

Experimental investigation and constitutive modelling of the deformation behaviour of high impact polystyrene for plug-assisted thermoforming

This paper concerns the experimental and numerical study of the plug-assisted thermoforming process of high impact polystyrene (HIPS). The thermomechanical properties of this polymer were characterized at different temperatures and deformation rates. To study the influence of different parameters in the real conditions of plug-assisted thermoforming process, we carried out “plug-only” tests at different temperatures and plug velocities. To model the deformation behaviour of HIPS, we proposed a thermo-elastic-viscoplastic model, which we have implemented in Abaqus software. A thermo-dependent friction model was also proposed and implemented in Abaqus software. The parameters of the proposed models were identified by the inverse analysis method in the real conditions of plug-assisted thermoforming. The proposed models were validated with “plug-only” tests and plug-assisted thermoforming of yogurt container