Analysis of the literature indicates that there is no method to forecast the course of the stress-strain curve of monofilaments characterized by variable cross-section fields. Knowledge of the tension course is crucial for predicting the durability of monofilaments often used in technical applications. Therefore, it was decided to conduct a study to show that it is feasible to describe the course of tensioning irregular polyester monofilaments on the basis of a modified rheological link model and the theory of the monofilament internal irregularity effect on elongation. A comparison of both the theoretical and experimental curves indicates that the proposed rheological model allowed us to calculate the theoretical curve, and to reliably anticipate the behaviour of irregular monofilaments during tension. In all the tested cases, the coefficient of curvilinear correlation exceeded 0.95, and it was higher than 0.99 for the majority of the analysed curves.
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