Fatique durability of smooth cylindrical rods under uniaxial symmetric stretch – compression


  • Ju. M. Kobzar S.P. Timoshenko Institute of Mechanics NAS Ukraine, 03057, Kyiv, 3 Nesterov Str.




The paper proposes a model of fatigue, that is based on the reduction of the carrier mass of the substance at half-cycle compression and its density increase by half-cycle stretching. High tension and volume deformation are linearly related by Hooke's law. Mass and density changes and stress changes depending on the elastic properties of the rod, its initial mass, density and volume are received analytically for each cycle. The model usage limit is a cycle in which amplitude values stress reaches the elastic limit. The proposed model algorithm is implemented in software environment with which the destruction is determined fatigue limit and fatigue. The resulting design value curve is different from the curve of fatigue of gray iron that was investigated. This is due to the fact that scattering of the applied energy on internal friction and heating is not included in the model.

Key words: symmetric tension-compression, fatigue model, fatigue limit, fatigue failure energy criterion.

Pages of the article in the issue: 82-85

Language of the article: Ukrainian


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How to Cite

Kobzar, J. M. (2019). Fatique durability of smooth cylindrical rods under uniaxial symmetric stretch – compression. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 82–85. https://doi.org/10.17721/1812-5409.2019/1.18



Differential equations, mathematical physics and mechanics