Study of Effects of Stress Concentration and Variation of Mechanical Properties


In this paper, we compare two approaches to the determination of stress-strain states (SSS) and the strength analysis of a thin plate with a circular hole concentrator under static and cyclic loading by solving the elastic problem (Kirsch problem) and applying the deformation criteria developed at the Mechanical Engineering Research Institute for deformation and fracture. In the new approach, the characteristics of the main mechanical properties, the values ​​of the nominal stresses, and the strain field in the zones of stress concentration (a total of four calculated cases) were varied for the first time. Studies showed that elastoplastic stresses and strains, which differ significantly from those obtained as a result of solving the elastic problem, arise even under the initial loading at the points of the cross section near the concentrator. Determined by deformation criteria, the results of the SSS analysis and strength analysis of a thin plate with a circular hole significantly differed from those obtained by the traditional elastic solution. This applies to the initial loading both in the maximum concentration zone (on the hole contour) and at other points of the dangerous cross section under cyclic loading. Using the above method, the cyclic kinetics of stresses and strains in the concentration zones (for a specified plate section) for any loading cycle can be calculated, while cyclic durability can be more accurately calculated taking into account the dispersion of the basic mechanical properties of the structural material.

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Correspondence to V. V. Zatsarinnyy.

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The authors declare that they have no conflicts of interest.

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Translated by A. Ivanov

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Makhutov, N.A., Zatsarinnyy, V.V. Study of Effects of Stress Concentration and Variation of Mechanical Properties. Inorg Mater 56, 1511–1515 (2020).

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  • thin plate
  • stress concentration
  • stress-strain state
  • elastic solution
  • deformation criteria
  • cyclic durability
  • dispersion of basic mechanical properties