Abstract: The bending behavior of woven fabrics under low curvature conditions was analyzed.The fabric was assumed to behave viscoelastically and to be subjected to frictional restraints in bending deformation.The frictional restraint was considered to be proportional to the curvature.A model had been constructed by a standard linear solid element and a paralleled frictional sliding element.The equations of the model for a cyclic curvature variation were derived.A set of parameters of the equations for each fabric had been obtained experimentally.Predictions of the bending rigidity and hysteresis for the fabrics were calculated and the theoretical calculations agree well with the experimental observations.