Viscoelastic Modeling of the Recovery Behavior of Cut Pile Carpet After Static Loading: A Comparison Between Linear and Nonlinear Models

In this work, the recovery property of machine-made carpet was investigated using the viscoelastic models. Viscoelastic modeling of textile materials are usually performed with presenting different combination of spring and dashpot. Two different mechanical models including linear and nonlinear Jeffery’s mechanical model were analyzed and compared. Static loading was applied to the samples for a certain time. The load was then removed and recovery behavior was investigated. The experimental data were then adapted to the theoretical data using curve fitting based on least square method. The results showed that there was a reasonably good agreement between the Jeffrey’s models and experimental data. The reason is that these two models are not completely elastic showing secondary creep. No significant difference was observed between linear and nonlinear model. The speed of recovery at the removal of the static loading was also analyzed. The results show that the nonlinear Jeffery’s model indicates less value of speed of recovery at zero time in comparison to the linear model. The recovery of cut pile carpers shows some permanent creep and is explained by nonlinear and linear Jeffery’s model acceptably.