New Approach to Modeling the Stress-Strain Curve of Linear Textile Products. Part 1 - Theoretical Considerations

The first part of this paper presents a modelling of the stretching phenomena of linear textile products, specifically yarns. The stretching phenomena are described by a model of the yarn stress-strain curve which was developed by a team from the GEMTEX laboratory. This analysis of the yarn stress-strain curve is an attempt to interpret this curve in the form of a set of various models. This differentiation is due to the change of the yarn’s state at the time of its stretching. The model differs very clearly from the other models presented in literature. In order to compare our research with that described in literature, the sensitivity of the parameters of various models was studied. Dividing the model into sub-models is crucial, because this enables the identification of vector parameter as a whole, by assembling parameters of sub-models. The second part of this approach to modelling the stress-strain curve is concerned with modelling the stress-strain curves of real natural and synthetic yarns.