A predictive model for the fabric-to-yarn bending stiffness ratio of a plain-woven set fabric

A model for woven fabric behavior in bending is formulated based on a repre sentation of fabric deformation as a coordinate transformation. The model i s essentially based on previously published assumptions of yarn behavior bu t provides predictions closer to real fabric properties. It uses the energy approach for mechanical problems of textiles and employs a polynomial appr oximation of the thread shape. The mathematically subtle contact problem of yarns within a fabric can be turned into a more general consideration of y arn compression, and this can be investigated by independent, practical exp erimentation. Comparison with previously published experimental data for a variety of thread types and fabric parameters shows reasonable agreement be tween predicted and measured bending stiffness of plain woven fabric.