ON HOT FITTING OF A DISK ON A SHAFT TAKING INTO ACCOUNT IRREVERSIBLE DEFORMATION OF THE MATING PARTS OF THE ASSEMBLY

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Abstract

The evolution of temperature stresses under the conditions of the assembly process operation of hot fitting a thin disk onto a round shaft is calculated within the framework of the theory of temperature stresses. The materials of the mating assembly parts are considered elastic-plastic with a yield strength dependent on temperature. The moments of time and places of origin of viscoplastic flows in the materials of the assembly elements, the features of the development of plastic regions, their attenuation and collapse are tracked. The level and distribution of residual stresses over the assembly parts are calculated.

About the authors

A. A. Burenin

Institute of Mechanical Science and Metallurgy, Far Eastern Branch of the RAS

Author for correspondence.
Email: burenin@iacp.dvo.ru
Moscow, Russia

A. V. Tkacheva

Institute of Mechanical Science and Metallurgy, Far Eastern Branch of the RAS

Email: 4nansi4@mail.ru
Moscow, Russia

References

  1. Parkus H. Instationare warmespannungen. Wien Sprinoer-Verlag. 1959.
  2. Boley B.A., Weiner J. H. Theory of Thermal Stresses. New York London: John wiley and sons, INS. 1960. 512 p.
  3. Burenin A.A., Tkacheva A.V. Gadolin problem of assembling a prestressed two-layer pipe // Journal of Applied Mechanics and Technical Physics. 2024. V. 64. № 5. P. 929–942. https://doi.org/10.1134/S002189442305022X
  4. Bukhalov V.I., Popov A.L., Chelyubeev D.A. Gadolin’s theory in elastoplastic formulation // Mechanics of Solids. 2019. V. 54. № 2. P. 356–363.
  5. Burenin A.A., Tkacheva A.V. Evolution of temperature stresses in the Gadolin problem of assembling a two-layer elastoplastic pipe // PNRPU Mechanics Bulletin. 2020. № 3. P. 20–31. https://doi.org/10.15593/perm.mech/2020.3.03
  6. Gadolin A.V. Theory of tools fastened with hoops // Artill. Journal. 1861. № 12. P. 1033–1071.
  7. Burenin A.A., Tkacheva A.V., Shcherbatyuk G.A. Calculation of the unsteady thermal stresses in elastoplastic solids // Journal of Applied Mechanics and Technical Physics. 2018. V. 59. № 7. P. 1197–1210.
  8. Dats E.P., Tkacheva A.V. Technological thermal stresses in the shrink fitting of cylindrical bodies with consideration of plastic flows // Journal of Applied Mechanics and Technical Physics. 2016. V. 57. № 3. P. 569–576. https://doi.org/10.1134/S0021894416030214
  9. Dats E.P., Murashkin E.V., Tkacheva A.V., Shcherbatyuk G.A. Thermal stresses in an elastoplastic tube depending on the choice of yield conditions // Mechanics of Solids. 2018. V. 53. № 1. P. 23–32.
  10. Mack W. Thermal assembly of on elastic – plastic hub a solid shaft // Arch. Appl. Mech. V. 63. P. 42–50. https://doi.org/10.1007/BF00787908
  11. Burenin A.A., Kaing M., Tkacheva A.V. On the calculation of plane stress states in the theory of unsteady temperature stresses in elastic-plastic bodies // Far Eastern Mechanical Engineering Journal. 2018. V. 18. № 2. P. 131–146 (in Russian).
  12. Burenin A.A., Matveenko V.P., Tkacheva A.V. Temperature stresses during the assembly of a two-layer shaft by hot fitting // Uch. Zap. KnAGTU. 2018. V. 35. № .3. P. 31–41 (in Russian).
  13. Kovacs A. Residual stresses in thermally loaded shink fit // Period. Polytech. Mech. Eng. 1996. V. 40. № 2. P. 103–112.
  14. Burenin A.A., Tkacheva A.V. Assembly of a two-layered metal pipe by using shrink fit // Mechanics of Solids. 2019. V. 54. № 4. P. 559–569.
  15. Bengeri M., Mack W. The influence of the temperature dependence of the yield stress on the stress distribution in a thermally assembled elastic-plastic shrink fit // Acta Mechanica. 1994. V. 103. P. 243–257. https://doi.org/10.1007/BF01180229
  16. Burenin A.A., Tkacheva A.V. On the calculations of the technological operation of hot-fitting assembly of cylindrical parts // PMM. 2022. V. 86. № 4. P. 595–611 (in Russian).
  17. Antoni N. Contact separation and failure analysis of a rotating thermo-elastoplastic shrinkfit assembly // Appl. Math. Modelling. 2013. V. 37. № 4. P. 2352–2363. https://doi.org/10.1016/j.apm.2012.05.018
  18. Lopez J.P., Hills D.A., Painter R.J.H. The axisymmetric shrink fit problem subject to axial force // Eur. J. Mech. A Solids. 2018. V. 70. P. 172–180. https://doi.org/10.1016/J.EUROMECHSOL.2018.02.007
  19. Sackfield A., Barber J.R., Hills D.A., Truman C.E. A shrink-fit shaft subject to torsion // Eur. J. Mech. A Solids. 2002. V. 21. № 1. P. 73–84. https://doi.org/10.1016/S0997-7538(01)01197-4
  20. Burenin A.A., Tkacheva A.V., Firsov S.V. Gadolin’s problem on assembling a two-layer shaft by hot fitting with a joint tear-off test // Vesn. Sam. state tech. univ. Ser. Phys.-math. sciences. 2022. V. 26. № 3. P. 480–499 (in Russian).
  21. Bykovtsev G.I., Ivlev D.D. Theory of plasticity. Vladivostok: Dalnauka, 1998. 528 p. (in Russian).
  22. Ishlinsky A.Yu., Ivlev D.D. Mathematical theory of plasticity. Moscow: Fizmatlit, 2001. 704 p. (in Russian).
  23. De Groot S., Mazur P. Non-equlibrium thermodynamics // Amsterdam: North-Holland publishing company, 1962. 450 p.
  24. Burenin A.A., Kovtanyuk L.V. Large irreversible deformations and elastic aftereffect. Vladivostok: Dalnauka, 2013. 312 p. (in Russian).
  25. Aleksandrov S.E., Lyamina E.A., Novozhilova O.V. The influence of the relationship between yield strength and temperature on the stress state in a thin hollow disk // Journal of Machinery Manufacture and Reliability. 2013. V. 42. № 3. P. 214–218.
  26. Godunov S.K., Ryabenkiy V.S. Difference schemes. Introduction to the theory. Moscow: Science, 1977. 439 p. (in Russian).
  27. Burenin A.A., Tkacheva A.V. On the assembly of a hot-fit elastic-viscoplastic disk with a non-circular inclusion // Mechanics of Solids. 2024. V. 59. № 5. P. 2674–2685. https://doi.org/10.1134/S0025654424603628
  28. Özel A., Temiz Ş., Aydin M.D., Şen S. Stress analysis of shrink-fitted joints for various fit forms via finite element method // Materials and Design. 2005. V. 26. P. 281–289. https://doi.org/10.1016/j.matdes.2004.06.014
  29. Bertini L., Santus C. Fretting fatigue tests on shrink-fit specimens and investigations into the strength enhancement induced by deep rolling // Intern. J. Fatigue. 2015. V. 81. P. 179–190.
  30. Potyanikhin D.A., Dubenko E.M. Calculation of the stress-strain state of a riveted joint obtained using nitrogen cooling of the rivet // Bulletin of the ChSPU named after I.Ya. Yakovlev, Series: Mechanics of the limit state. 2018. № 3 (37). P. 134–144 (in Russian).
  31. Vasiliev V.V., Lurie S.A. Nonlocal solutions to singular problems of mathematical physics and mechanics // Mechanics of Solids. 2018. V. 53. № 5. P. 135–144.
  32. Rukavishnikov V.A., Rukavishnikova E.I. Existence and Uniqueness of the Rv-Generalized Solution of the Dirichlet Problem for the Lamé System with Corner Singularity // Differential Equations. 2019. V. 55. № 6. P. 832–840. https://doi.org/10.1134/S0012266119060107
  33. Lomakin E.V., Lurie S.A., Rabinskiy L.N., Solyaev Y.O. Refined stress analysis in applied elasticity problems accounting for gradient effects // Doklady Physics. 2019. V. 64. № 12. С. 482–486.
  34. Goryainov V.V., Popov M.I., Chernyshov A.D. Solving the stress problem in a sharp wedge-whaped cutting tool using the quick decomposition method and the problem of matching boundary conditions // Mechanics of Solids. 2019. V. 54. № 7. P. 1083–1097. https://doi.org/10.1134/S0572329919050088
  35. Polikarpov M.V., Penkov V.B. Concentrated force actions in the boundary state method // Bulletin of the ChSPU named after I.Ya. Yakovlev, Series: Mechanics of the limit state. 2020. № 1. P. 34–44 (in Russian). https://doi.org/10.37972/chgpu.2020.43.1.004

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