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Effects of a Frictional Interface on the Load Diffusion from a Broken Filament in a Fibrous Composite

  • Bulent Aksel (a1), Dimitris C. Lagoudas (a2) and Chung-Yuen Hui (a1)

Abstract

The effects of a frictional interface on the load diffusion from a broken fiber to the surrounding matrix material and the extent of debonding near the fiber break in a single-fiber reinforced composite of infinite extent are studied by using the finite element method. The normal and shear stresses on the interface, the extent of the slip zone and the axial load of the fiber are evaluated for different frictional coefficients and material parameters for both the fiber and the matrix. A shear-lag analysis is also carried out to obtain a closed form approximate solution of the fiber load diffusion problem. The extent of the slip zone and the stresses predicted by the shear-lag model are compared with the finite element method results.

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[1] Cox, H.L, British J. Applied Phys. 3, 72 (1952).
[2] Whitney, J.M. and Drzal, L.T. in Toughened Composites, edited by Johnston, N.J. (ASTM STP 937, Philadelphia, PA 1987) pp. 179196.
[3] Muki, R. and Sternberg, E., Z. Angew. Math. Phys. 22, 809 (1971).
[4] Ford, E.F., Technical Report No. 1, NSF Grant GH-33576, Div. of Applied Sciences, Harvard University (1973).
[5] Netravali, A.N., Henstenburg, R.B., Phoenix, S.L. and Scwartz, P., Polymer Composites (in print).
[6] Dollar, A. and Steif, P. S., Report SM 88-1, Carnegie-Mellon University (1988).
[7] Aksel, B., Lagoudas, D.C. and Hui, C.-Y., Int. J. Solids Structures (submitted).

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