Numerical analysis of a model of cure process for composites

We consider a composite material composed of fibres included in a resin which becomes solid when it is heated up (reaction of reticulation). The mathematical modelling of the cure process is given by a kinetic equation describing the evolution of the reaction of reticulation coupled with the heat equation. In this paper, we are interested in the computation of approximate solutions. We propose a family of discretized problems depending on two parameters ((beta)1, (beta)2) (element of)[0, 1]2 which split the linear and non- linear terms in implicit and explicit parts. We prove the stability and convergence of the discretization for any ((beta)1, (beta)2) (element of) [½, 1 ] × [0, 1]. We present also some numerical results.