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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Kogaev, V.P., Makhutov, N.A., and Gusenkov, A.P., Raschety detalei mashin i konstruktsii na prochnost’ i dolgovechnost’ (Calculations of Machine Parts and Constructions for Strength and Durability), Moscow: Mashinostroenie, 1985.
Neuber, H., Kerbspannungslehre: Grundlagen für Genaue Spannungsrechnung, Berlin: Springer-Verlag, 1937.
Tymoshenko, S.P., Teoriya uprugosti (Theory of Elasticity), Moscow: Gos. Tekh.-Teor. Izd., 1934.
Savin, G.N., Raspredelenie napryazhenii okolo otverstii (Stress Distribution near the Holes), Kiev: Naukova Dumka, 1968.
Kats, A.M., Teoriya uprugosti (Theory of Elasticity), Moscow: Gos. Izd. Tekh.-Teor. Lit., 1956.
PNAE G-7-002–86: Normy rascheta na prochnost’ oborudovaniya i truboprovodov atomnykh energeticheskikh ustanovok (PNAE G-7-002–86: Calculation Standards for the Strength of Equipment and Pipelines of Nuclear Power Installation), Moscow: Energoatomizdat, 1989.
Makhutov, N.A., Diformatsionnye kriterii razrusheniya i raschet konstruktsii na prochnost’ (Deformation Fracture Criteria and Strength Calculations of Structural Elements), Moscow: Mashinostroenie, 1981.
Makhutov, N.A., Konstruktsionnaya prochnost’, resurs i tekhnogennaya bezopasnost’. Chast’ 1. Kriterii prochnosti i resursa (Structural Strength, Lifetime, and Technogenic Safety, Part 1: Criteria of Strength and Lifespan), Novosibirsk: Nauka, 2005; Makhutov, N.A., Konstruktsionnaya prochnost’, resurs i tekhnogennaya bezopasnost’. Chast’ 2: Obosnovanie resursa i bezopasnosti (Structural Strength, Lifetime, and Technogenic Safety, Part 2: Justification of the Resource and Safety), Novosibirsk: Nauka, 2005.
Makhutov, N.A., Prochnost’ i bezopasnost’: fundamental’nye i prikladnye issledovaniya (Strength and Safety: Fundamental and Applied Studies), Novosibirsk: Nauka, 2008.
Makhutov, N.A., Zatsarinnyi, V.V., Romanov, A.N., et al., Statisticheskie zakonomernosti malotsiklovogo razrusheniya (Statistical Regularities of Low-Cycle Destruction), Moscow: Nauka, 1989.
Problemy prochnosti, tekhnogennoi bezopasnosti i konstruktsionnogo materialovedeniya (Strength, Technogenic Safety, and Constructional Material Science), Makhutov, N.A., Matvienko, Yu.G., and Romanov, A.N., Eds., Moscow: Lenand, 2018.
The authors declare that they have no conflicts of interest.
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). https://doi.org/10.1134/S0020168520150121
- thin plate
- stress concentration
- stress-strain state
- elastic solution
- deformation criteria
- cyclic durability
- dispersion of basic mechanical properties