Representative Volume of Design Elements and Mathematical of Pile Woven Fabrics

Abstract

ABSTRACT The paper presents an approach to model the behaviour of a representative volume design elements of pile warp woven fabrics. With the internal geometry of the built, the model computes overall parameters of the deformed pile warp woven fabrics, such as fibre volume fraction, porosity etc. The internal geometry is visualised and such properties as pore structure in typical cross-sections are analysed. The internal geometry description is further fed into flow modelling software, which allow computing local permeability and mechanical properties of the deformed the Loop of pile warp woven fabrics. This study aims at the structure of the geometrical characteristics of a warp pile woven fabrics structure by using the basic fabric parameters to find a suitable model that makes possible the prediction of weavability limited and suitable for their performance, and the evaluation of a three-dimensional plain pile warp woven fabrics geometrical model. Dimensional plain pile warp woven fabrics geometrical model. Loop lengths, realistic models based on a better approach of geometry and material properties will be created in order to investigate the numerical analysis performance of the performance properties of pile warp woven fabrics. Porosity, air permeability of a woven fabric on the base of its constructional parameters. Of the warp pile woven fabrics structure via module. As the constructional parameters of a woven fabric are considered: maximum and suitable setts of warp and weft yarns, diameters (or fineness) of warp and weft yarns and a type of weave. This research is focused on cloth warp pile woven fabrics structure of warp cotton and several types of weft. The evaluations of the geometrical model for three level of loop length (height, medium, low) are carried out by three methods of weft density. based on the comparison of the measured warp pile loop length of existing warp pile woven fabrics structure fabrics with the calculated values that result from the geometrical model. And controlled of the shape of the warp pile loop that result from the air permeability , thickness, porosity, test of the fabrics with the air permeability, thickness, porosity curves that are received from the simulation of the analysis. A correlation between calculated values of structural parameters and experimental; The suggested process makes possible prediction of ideal sett of weft for terry woven fabric in three densities (18) wefts with the rest of possible properties throw porosity and value of air permeability, wick-up of pile warp woven fabrics, to the materials types of weft which are: cotton, polyester, blended (cotton/polyester (50/50)) viscose rayon, which are characterised by their constructional parameters as are sett of piles warp and ground yarns, by diameters or fineness of cotton materials and by the plain of weave Keywords: weavability limited, geometrical pile fabric, permeability, porosity. geometrical Models,