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UNIFIED YIELD CRITERION AND ELASTOPLASTIC ANALYSIS OF A ROTATING SOLID CYLINDER

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Abstract

Results of the elastoplastic analysis of a rotating solid cylinder with fixed ends under monotonic loading by centrifugal forces are reported. The problem formulation is based on the theory of infinitesimal elastoplastic strains. The unified piecewise-linear yield condition and the associated flow law are used for calculating the plastic component of the strain. The adopted plasticity condition depends on a parameter that can be considered as a material characteristic. An exact solution of the governing system of equations is derived. Regular features of plastic flow development are found. It is demonstrated that six plastic domains are formed in the cylinder in the general case; these domains correspond to different edges and faces of the surface defined by the unified piecewise-linear condition. A dependence of the plastic limit velocity of cylinder rotation on the parameter included into the yield condition is derived.

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REFERENCES

  1. B. D. Annin and G. P. Cherepanov, Elastoplastic Problem (Nauka, Novosibirsk, 1983) [in Russian].

    Google Scholar 

  2. U. Gamer, W. Mack, and I. Varga, “Rotating Elastic-Plastic Solid Shaft with Fixed Ends," Intern. J. Engng Sci. 35 (3), 253–267 (1997).

    Article  Google Scholar 

  3. U. Gamer and M. Sayir, “Elastic-Plastic Stress Distribution in a Rotating Solid Shaft," Z. angew. Math. Phys. 35 (5), 601–617 (1984).

    Article  ADS  Google Scholar 

  4. T. Lindner and W. Mack, “Residual Stresses in an Elastic-Plastic Solid Shaft with Fixed Ends after Previous Rotation," Z. angew. Math. Mech. 78 (2), 75–86 (1998).

    Article  Google Scholar 

  5. A. N. Eraslan, “On the Linearly Hardening Rotating Solid Shaft," Europ. J. Mech. A. Solids 22 (2), 295–307 (2003).

    Article  ADS  Google Scholar 

  6. A. N. Prokudin, “Elastoplastic Analysis of a Rotating Solid Cylinder under the Maximum Reduced Stress Condition," Vestn. Sam. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24 (1), 74–94 (2020).

    MATH  Google Scholar 

  7. A. N. Prokudin and A. A. Burenin, “Elastoplastic Deformation of a Rotating Solid Cylinder Made of a Linearly Hardening Material," Prikl. Mat. Mekh. 85 (2), 172–192 (2021).

    Google Scholar 

  8. A. N. Eraslan, “Von Mises’ Yield Criterion and Nonlinearly Hardening Rotating Shafts," Acta Mech. 168 (3/4), 129–144 (2004).

    Article  Google Scholar 

  9. M.-H. Yu, Unified Strength Theory and its Applications (Singapore: Springer Singapore, 2018).

    Book  Google Scholar 

  10. A. A. Burenin, A. V. Tkacheva, and G. A. Shcherbatyuk, “On Calculation of Unsteady Temperature Stresses in Elastoplastic Solids," Vych. Mekh. Splosh. Sred 10 (3), 245–259 (2017).

    Google Scholar 

  11. G. Ma, H. Hao, and Y. Miyamoto, “Limit Angular Velocity of Rotating Disc with Unified Yield Criterion," Intern. J. Mech. Sci. 43 (5), 1137–1153 (2001).

    Article  Google Scholar 

  12. L. Wang and Y. Zhang, “Plastic Collapse Analysis of Thin-Walled Pipes Based on Unified yield Criterion," Intern. J. Mech. Sci. 53 (5), 348–354 (2011).

    Article  Google Scholar 

  13. U. Güven, “Effects of Different Limit Strength on Plastic Strains of Thick Walled Pressure Vessels," Intern. J. Pressure Vessels Piping., No. 104, 37–42 (2013).

    Article  Google Scholar 

  14. S. Wang, Q. Zhu, J. H. Zhao, et al., “Elastoplastic Assessment of Limiting Internal Pressure in Thick-Walled Cylinders with Different Tension-Compressive Response," Strength Materials 51 (4), 508–519 (2019).

    Article  Google Scholar 

  15. W. T. Koiter, “Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials with a Singular Yield Surface," Quart. Appl. Math. 11 (3), 350–354 (1953).

    Article  MathSciNet  Google Scholar 

  16. A. N. Prokudin, “Exact Elastoplastic Analysis of a Rotating Cylinder with a Rigid Inclusion under Mechanical Loading and Unloading," Z. angew. Math. Mech. 100 (3), e201900213 (2020).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Machinery and Metallurgy, Khabarovsk Federal Research Center, Far-East Branch, Russian Academy of Sciences, 681005, Komsomolsk-on-Amur, Russia

    A. N. Prokudin & A. A. Burenin

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  1. A. N. Prokudin
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  2. A. A. Burenin
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Correspondence to A. N. Prokudin.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 5, pp. 68-79. https://doi.org/10.15372/PMTF20210507.

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Prokudin, A.N., Burenin, A.A. UNIFIED YIELD CRITERION AND ELASTOPLASTIC ANALYSIS OF A ROTATING SOLID CYLINDER. J Appl Mech Tech Phy 62, 760–770 (2021). https://doi.org/10.1134/S0021894421050072

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  • DOI: https://doi.org/10.1134/S0021894421050072

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