A new theoretical approach to cut-pile carpet compression based on elastic-stored bending energy

Carpet is one of the textile structures that are subjected to compressive load in use. In this study, firstly the mechanism of pile deformation in a cut-pile carpet is investigated, and then a theoretical analysis of force and energy of deformation is presented. The elastic-stored bending energy is derived, and the frictional effect due to the sliding pile yarn with its neighbor and frictional bending couple is also considered. Results show that geometrical and mechanical properties of yarn and the applied compressive load affect the total energy of pile deformation. Meanwhile, predicted results are more close to experimental values than those obtained in previous studies.