Numerical analysis of a model of cure process for composites

✍ Scribed by Salha Meliani; Laetitia Paoli

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 315 KB
• Volume: 30
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.795

✦ Synopsis

Abstract

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 (β~1~, β~2~) ε [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 (β~1~, β~2~) ε [½, 1 ] × [0, 1]. We present also some numerical results. Copyright © 2006 John Wiley & Sons, Ltd.