This paper treats the motion of long, unidirectional, continuous fibers through a Newtonian resin. There is a consolidation force on the top row of fibers or an effective force on all the fibers due to their tension and curvature in a filament-wound cylinder. An asymptotic analysis for high fiber volume fraction is presented here. The present rigorous asymptotic solution leads to the same expressions as a previous applica tion of the lubrication approximation. The advantages of the asymptotic analysis are the definition of the error and the foundation for the proper treatment of more complex prob lems with several small parameters.
Get full access to this article
View all access options for this article.
References
1.
Lindt, J.T.1982. SAMPE Quarterly, pp. 14-19.
2.
Lindt, J.T.1986. Journal of Rheology, 30(2):251-269.
3.
Gutowski, T.G. , Z. Cai, S. Bauer, D. Boucher, J. Kingery and S. Wineman.1987. Journal of Composite Materials, 21:651-669.
4.
Press, W.H. et al. 1986. In Numerical Recipes, Cambridge, UK: Cambridge University Press.
5.
Dave, R., J.L. Kardos and M.P. Dudukovic.1987. Polymer Composites, 2:123-132.
