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An analytical approach for the recovery behavior of cut pile carpet after static loading by mechanical models

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Abstract

In this paper, a viscoelastic model for the recovery behavior of the machine-made carpet has been presented. Different combinations of spring and dashpot systems are usually considered to model the mechanical behavior of textile materials. The initial thickness of the carpet samples was measured using a digital thickness gauge. The samples were then imposed to static loading. Consequently, the thickness of carpet samples after the load removal was measured again by considering the relaxation time at the range of 1 to 30 minutes with the intervals of 2 minutes. Jeffery’s mechanical model, which is combined of spring and dashpot components, was used to model the variation trend of thickness loss percentages for the carpet samples at different relaxation times. Curve fitting based on the least square method was used to adapt the experimental data to the theoretical model. For comparison, the standard linear model was also applied to experimental data. The results showed that there was a reasonably good agreement between the Jeffrey’s model and the experimental data. The results also revealed the linear standard model showed poor regression for the recovery properties of cut pile carpets after static loading. The reason was that the standard linear model was completely elastic, showing no secondary creep. On the other hand, the recovery of cut pile carpers showed some permanent creep that could be explained by Jeffrey’s model.

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Correspondence to Mohammad Ghane.

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Jafari, S., Ghane, M. An analytical approach for the recovery behavior of cut pile carpet after static loading by mechanical models. Fibers Polym 17, 651–655 (2016). https://doi.org/10.1007/s12221-016-6191-7

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