 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| E.B. Zavoichinskaya and G.E. Lavrikov, "Brittle Failure Modelling at Cyclic Loading of Variable Amplitude and Asymmetry on Different Structural Levels," Mech. Solids. 60 (8), 6627-6634 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6627-6634 |
| DOI |
10.1134/S0025654425605658 |
| Title |
Brittle Failure Modelling at Cyclic Loading of Variable Amplitude and Asymmetry on Different Structural Levels |
| Author(s) |
E.B. Zavoichinskaya (Lomonosov Moscow State University, Moscow, 119234 Russia, elen@velesgroup.com)
G.E. Lavrikov (Lomonosov Moscow State University, Moscow, 119234 Russia, george.lavrikov@yandex.ru) |
| Abstract |
This work is devoted to durability prediction at high-cycle irregular loading of materials.
The process of brittle failure is considered as a hierarchical stochastic process at the micro-, meso-, and macro-structural levels. The initiation of defects at each level occurs as a result of the sequential
generation, growth and merging of defects at previous levels. Constitutive relations for the brittle failure probability at the micro-, meso-, and macro-structural levels on the basis of Hilbert-Schmidt integral operator are proposed. High-cycle fatigue curves on defect levels for one-frequency loading of
variable amplitude and asymmetry are obtained. These curves correspond to the lines of the micro-hardness levels. The results of calculations correspond to experimental data for aluminum alloy 2024-T42 and steel S25C at symmetric loading of two and three blocks. The analysis results shows that durability alloy 2024-T42 doesn’t depend practically from the order of amplitude application at the same maximum stress values. The calculations for steel S25C show a dependence on the order of application
of loading amplitudes, namely, the maximum stresses differ on 10% and the durability can be changed
in six times. For an aluminum alloy the correspondence of defect level fatigue curves to experimental lines of microhardness levels is shown. |
| Keywords |
brittle failure, high-cycle fatigue, Vickers microhardness, fatigue curve, irregular loading |
| Received |
31 May 2025 | Revised |
01 August 2025 | Accepted |
24 December 2025 |
| Link to Fulltext |
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