Resin transfer moulding: mathematical modelling and numerical simulations

This study accounts for the necessity of developing a proper mathematical m odel of composite material processes in order to implement it in a numerica l simulation. The process considered here is the resin transfer moulding (R TM). It essentially consists of the injection of a polymeric resin in a por ous pre-form of reinforcing elements. Process simulation is of considerable value in assessing production parameters and in improving the quality of m anufactured products. The proposed model is deduced in the framework of mix ture theory. In particular, a solid-liquid-air mixture is considered. The p orous solid is deformable and its mechanical behavior is non-linear elastic . The model consists of a set of partial differential equations, time depen dent, defining two coupled problems: mechanical equilibrium and diffusion i n a permeable medium. The equations are written, at first, in the Eulerian formulation and then, considering a set of material coordinates fixed on th e porous solid, in the Lagrangian formulation. The mathematical problem, ge nerated by the model, is defined in the whole domain occupied by the mixtur e of three-phases. It is shown that, if the transitional layer between the region wet by the infiltrating liquid and the one not reached by the liquid is thin, then the formulation proposed is equivalent to the classical form ulation where different sets of equations are used for different regions. T he problem is solved numerically by means of finite element method. The sim ulations developed use the ABAQUS FEA package. Two 3D infiltration problems are simulated. Although the simulations do not refer to any practical appl ications, the results show the usefulness of the model in the assessment of process parameters in true industrial problems. (C) 1999 Elsevier Science Ltd. All rights reserved.