NUMERICAL EVALUATION OF ISOSTRAIN AND WEIGHTED-AVERAGE MODELS FOR ELASTIC-MODULI OF 3-DIMENSIONAL COMPOSITES

The isostrain model is being widely used for predicting the elastic pr operties of three-dimensional composites, i.e. composites in which the reinforcement extends in the general three-dimensional space. Recentl y, it has been suggested that a weighted average of the isostrain and isostress model predictions yields better results, when compared to th e predictions of the isostrain model alone. Critical evaluation of the se models through experiments alone is expensive and time consuming ow ing to the large number of material and geometric variables involved i n these models. We have conducted a numerical study to evaluate the ac curacies of these simplistic analytical models. A finite element model , based on the commonly used representative volume element of the thre e-dimensionally braided composite, was developed for this purpose. The variables considered in this study included the type of loading, the braid angle, the fiber volume fraction, and the yarn elastic propertie s. The study revealed that a suitable weighted average of the isostrai n and isostress model predictions is in better agreement with the corr esponding finite element model predictions for the elastic moduli of 3 -D braided composites. Furthermore, the weighting factor was observed to be fairly insensitive to braid angles, yarn volume fraction, and th e type of loading, but strongly influenced by the non-axial elastic pr operties of the yarn. (C) 1997 Elsevier Science Limited.