Engineering Transactions, 31, 2, pp. 165-177, 1983

Plastic Behaviour of Fibre-Reinforced Composites and Fracture Effects

K. Herrmann
Institute of Mechanics, University of Paderborn, Paderborn (FRG)

I.M. Mihovsky
Department of Mathematics and Mechanics, Sofia University, Sofia

The work deals with the problem of longitudinal extension of a unidirectionally reinforced brittle fibres-ductile matrix composite. A model of the plastic deformation process is proposed with regard to a unit cell of the composite. The model accounts in an essential way for the matrix ductility and reveals the nature of the possible mechanisms of failure of the fibre-matrix interface. The model implies a relatively simple general scheme of analysis of the entire problem including, in particular, the determination of the current plastic zone size, the stress-strain curve for the considered composite as well as the important measure of a limiting elastic response of the matrix phase. The detailed solution of the problem associated with the proposed model is shown to require simple numerical calculations. However, certain important results are obtained in a closed form.
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R. HILL, Theory of mechanical properties of fibre-strengthened materials; II Inelastic beha­viour. J. Mech. and Phys. Solids, 12, 4, 213-218, 1964.

R. HILL, Theory of mechanical properties of fibre-strengthened materials; III Self-consistent model, J. Mech. and Phys. Solids, 13, 4, 189-198, 1965.

A. J. M. SPENCER, A theory of the failure of ductile materials reinforced by elastic fibres, Intern. J. Mech. Sciences, 7, 3, 197-209, 1965.

A. J. M. SPENCER, Deformation of fibre-reinforced materials, Clarendom Press, Oxford 1972.

J. F. MULHERN, T. G. ROGERS. A. J. M. SPENCER, Cyclic extension of an elastic fibre with an elastic-plastic coating, 1. Institute of Mathematics and its Applications, 3, I, 21-40, 1967.

J. F. MULHERN, T. G. ROGERS, A. J.M. SPENCER, A continuum model for fibre-reinforced plastic materials, Proc. Royal Society, A 301, 4, 473-492, 1967.

R. F. THOMASON, Plastic flow and fracture in fibre composite, J. Mech. and Phys. Solids, 20, 1, 19-32, 1972.

G. J. DVORAK, M. S. MADHAVA RAO, Axisymmetric plasticity theory of fibrous composited, Intern. J. Enging. Sciences, 14, 4, 361-373, 1976.

G. J. DVORAK, Y. A. BAHEI-EL-DIN, Elastic-plastic behaviour of fibrous composites. J. Mech. and Phys. Solids, 27, 1, 51-72, 1979.

I. M. KOPIOV, A. S. OVCINSKIJ, Fracture of fibre-reinforced metals, Nauka, Moscow 1977 [in Russian].

l. M. R. PIGGOTT, Load bearing fibre composites, Pergamon Press 1980.

G. A. COOPER. M. R. PIGGOTT, Cracking and fracture of composites, Fracture vol. l. 557-605, 1977, International Conference of Fracture, Waterloo, Canada, June 19-24, 1977.

B. HARRIS, P. W.R. BEAUMONT, E. MONCUNILL DE FERRAN, Strength and fracture toughness of carbon fibre polyester composites, J. Materials Science, 6, 3, 238-251, 1971.