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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 3, Pages 44–52 (Mi vmumm4689)

Mechanics

Effect of the cyclic loading form on the development of brittle fracture process

È. B. Zavoychinskaya, V. V. Putilov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The durability for a trapezoidal axial loading cycle can be carried out using a model of scale-structural fatigue for a sinusoidal shape. For materials with frequency-dependent fatigue properties the evaluation of the rectangular cycle (except the instantaneous impulses) by the sinusoidal cycle goes into a safety margin. At the zero load absence of a rectangular cycle, the maximum stress, on average, 5% lower (durability 2.5 times less) at the same number of cycles than for a sinusoidal cycle and the loading period. The results are confirmed by experimental data on high- and very high fatigue of metals and alloys.

Key words: brittle fatigue probability, durability, fatigue curves on defect levels, trapezoidal cycle, rectangular cycle, loading frequency.

UDC: 539.3

Received: 15.05.2024

DOI: 10.55959/MSU0579-9368-1-66-3-7


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:3, 110–119

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© Steklov Math. Inst. of RAS, 2026