NONLINEAR ANALYSIS OF WOVEN COMPOSITES WITH REINFORCEMENT IMPERFECTIONS

Abstract eng:
A simple procedure is presented for the determination of a Periodic Unit Cell (PUC) for plain weave fabric composites with reinforcement imperfections. The objective is to determine selected geometrical parameters of the PUC so that the PUC resembles the real geometry of a composite, obtained from digitized micrographs of plain weave cross-sections and horizontal projections, as close as possible. Two different approaches to judge the quality of equivalent periodic unit cells are proposed and the optimization procedure for the derivation of PUC parameters is outlined. In the first approach, the optimal periodic unit cell is found by matching binary imagines of the real material and the PUC. In the second approach, the procedure searches for an optimal PUC witch is statistically equivalent to the real microstructure up to two-point probability function. Once the desired geometrical parameters are found, the Finite Element model of a woven composite is formulated and used to predict the overall elastic response of the composite by a homogenization method. An extension to the modeling of inelastic response of the composite subjected to moderate loads is also discussed.

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