Paper number 233

SELF-CONSISTENT MODELLING OF DAMAGED ELASTIC BEHAVIOUR USING RELIABILITY APPROACH

F. Desrumaux, F. Meraghni, and M.L. Benzeggagh

Université de Technologie de Compiègne, LG2mS, Polymères et Composites
CNRS-UPRESA 6066, B.P. 20529
60205 Compiègne Cedex, France

Summary

The general purpose of this work is to study the damaged elastic behaviour for an aligned and a random discontinuous fibre composite. In this work, the self-consistent model of Mori and Tanaka is coupled with statistical strength theories to predict the mechanical behaviour of composite materials. The Micro/Macro model used here can estimate the state of stress into the fibre, the matrix and on the basis of the Mura's works, the stress states at the interface. Each failure of fibre, matrix and interface is simulated as stochastic phenomenon and governed by a probabilistic law. In fact, microcracks density inside the matrix or the fibres governs the damage accumulation. These densities increase according to probabilistic functions, which are obtained from the Weibull law. The reliability approach can describe the progressive damage accumulation. Hence, the prediction of composite materials failure based on a probabilistic approach seams more accurate and realistic than a deterministic approach based on maximum or quadratic stress criteria.

Keywords

Self-consistent model, reliability approach, Weibull law, mechanical behaviour.