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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2025 Volume 51, Issue 15, Pages 36–40 (Mi pjtf7988)

Statistical method for determining the range limit of non-destructive load and the range limit of non-destructive deformation ranges of synthetic yarns

L. F. Vyunenko, E. S. Tsobkallo, T. B. Koltsova

St. Petersburg State University of Technology and Design

Abstract: The paper proposes a new method for estimating the ultimate non-destructive load and deformation values during stretching of elementary synthetic yarns, based not on critical breaking values, but on a statistical analysis of the breaking load and deformation values determined experimentally. The described method for estimating “safe” ranges of loads and deformations under mechanical impacts, using the three-parameter Weibull distribution, can be extended to a wide range of materials.

Keywords: synthetic yarns, non-destructive loads, non-destructive deformations, Weibull–Gnedenko distribution, three-parameter Weibull distribution.

Received: 09.04.2025
Revised: 13.05.2025
Accepted: 15.05.2025

DOI: 10.61011/PJTF.2025.15.60810.20340



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© Steklov Math. Inst. of RAS, 2026