Researchers developed a mathematical model to describe woven fabric bagging fatigue behavior. The model assumes that the stress-strain relationships in fabric involve elastic deformation and viscoelastic deformation of fibers and the friction between fibers and yarns within the fabric structure. The model predicts fabric bagging behavior by specifying basic fiber mechanical properties and yarn-fabric structural parameters. Theoretical predictions for two woolen fabrics with different structures agreed with experimental measurements. Results confirmed that the mathematical model provided a quantitative simulation of fabric bagging rheological behavior and accurately predicted fabric bagging performance. 21 refs.