A Simplified Model for Plain Woven Fabrics

Abstract

A simplified model for studying the behavior of plain woven fabrics is presented. The model consists of two plate elements including a thin layer of matrix between them. Hierarchic shape functions are employed to characterize the initially curved profile of the yarns and the displacements of the plate elements. The plate model is used in conjunction with a simple micro-model which accounts for the material nonlinear response and damage of the yams. The behavior of plain woven fabrics under inplane tension, compression and inplane shear is examined. The plate-micro model combination is shown to be able to predict the important features of plain woven fabric response adequately. Predictions of the strength of plain woven fabrics using the plate model are compared with 3-D finite element analysis (FEA) results and currently available experimental/analytical results.

A modified micromechanical curved beam analytical model to predict the tension modulus of 2D plain weave fabric composites

“…These results are consistent with the disclosures in previous works [16]: the Mosaic model should give an upper bound solution of the one-dimensional undulation model, the two-dimensional undulation parallel-series model and the two-dimensional undulation series-parallel model due to the fact that crimp is ignored. From Table 3, it is interesting to notice that for EW220 and E-glass [22] laminate, the predictions of modified curved beam model presented in this paper are less than those of mosaic model (this appears to have a good agreement with the argument in the literature [16]), whereas, for other samples, modified beam model predicts E values higher than mosaic model. In fact, all mosaic model, one-dimensional undulation model and two-dimensional undulation model were derived from the classic laminate theory by ignoring the interaction of orthogonal interlacing strands.…”

“…There are four sets of experiments to verify the validation of modified model, with three sets of data from the literature [22,23] and one set from new experimental data generated in this work. In the literature [22,23], three sets of experimental moduli of E-glass/epoxy and T300/epoxy being 19.3 GPa, 14.5 GPa and 60.3 GPa, respectively.…”

“…In the literature [22,23], three sets of experimental moduli of E-glass/epoxy and T300/epoxy being 19.3 GPa, 14.5 GPa and 60.3 GPa, respectively. In this work, 2D orthogonal EW220/5284 PWF composites are employed to obtain the new experimental results to validate the modified model.…”

“…Fewer geometry characteristic parameters of warp and weft yarns and the elastic moduli of fibre and resin are required to predict tension modulus of PWF composites than with other models given in the literature [5,[14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

“…Tong et al [21] assumed the fibre as a curved beam supported by an elastic tension or shear foundation in a woven composite material and presented a curved beam model to investigate the effect of fibre yarn waviness on the tensile strength of woven composite materials based on the classical laminate plate theory. Kollegal and Sridharan [22] employed hierarchic shape functions to characterize the initially curved profile of the yarns and the displacements of the plate elements and presented a plate-micro model for the analysis of PWFs. A significant amount of research has been conducted by using the variational principles of strain energy [13,23] or FE analysis (FEA) [24][25][26][27] to analyze elastic properties of woven composites and detailed stress field throughout the RVE from the averaged mechanical properties of the constituent materials.…”