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Thermoelastoplastic Deformation of a Multilayer Ball

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Abstract

The problem of centrally symmetric deformation of a multilayer elastoplastic ball in the process of successive accretion of preheated layers to its outer surface is considered in the framework of small elastoplastic deformations. The problems of residual stress formation in the elastoplastic ball with an inclusion and a cavity are solved under various mechanical boundary conditions on the inner surface and for prescribed thermal compression distributions. The graphs of residual stress and displacement fields are constructed.

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References

  1. H. Lippmann, “The Effect of a TemperatureCycle on the StressDistribution in a Shrink Fit,” Int. J. Plasticity 8, 567–582 (1992).

    Article  Google Scholar 

  2. W. Mack, “Thermal Assembly of an Elasti©PlasticHub and a Solid Shaft,” Arch. Appl.Mech. 63 (1), 42–50 (1993).

    Article  ADS  MATH  Google Scholar 

  3. Á. Kovács, “Residual Stresses in Thermally Loaded Shrink Fits,” Periodica Polytech.:Mech. Engng 40 (2), 103–112 (1996).

    Google Scholar 

  4. E. P. Dats, A. V. Tkacheva, and R. V. Shport, “Assembly of a “Ring-in-Ring” Structure by a Shrink Fit,” Vestnik Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser.Mekh. Pred. Sost., No. 4, 225–235 (2014).

    Google Scholar 

  5. E. P. Dats and A. V. Tkacheva, “Technological Thermal Stresses in the Shrink Fitting of Cylindrical Bodies with Consideration of Plastic Flows,” Zh. Prikl. Mekh. Tekhn. Fiz. 57 (3), 208–216 (2016) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 57 (3), 569–576 (2016)].

    MathSciNet  MATH  Google Scholar 

  6. E.P. Dats, S. N. Mokrin, and E. V. Murashkin, “Calculations of Accumulated Residual Strain in Processes of “Heating–Cooling” of an Elastoplastic Ball,” Vestnik Yakovlev ChuvashiyaGos. Pedagog.Univ., Ser.Mekh. Predeln. Sost., No. 4, 123–132 (2012).

    Google Scholar 

  7. A. A. Burenin, E. P. Dats, S. N. Mokrin, and E. V. Murashkin, “Plastic Flow and Unloading of a Hollow Cylinder in the “Heating–Cooling” Process,” Vestnik Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser. Mekh. Pred. Sost., No. 2, 22–28 (2013).

    Google Scholar 

  8. A. A. Burenin, E. P. Dats, and E. V. Murashkin, “Formation of the Residual Stress Field under Local Thermal Actions,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela No. 2, 121–131 (2014) [Mech. Solids (Engl. Transl.) 49 (2), 218–224 (2014)].

    Google Scholar 

  9. E. P. Dats, E. V. Murashkin, and R. Velmurugan, “Calculation of Irreversible Strains in a Hollow Elastoplastic Ball under Conditions of Unsteady Temperature Action,” Vestnik Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser. Mekh. Pred. Sost., No. 3, 22–28 (2015).

    Google Scholar 

  10. E. Dats, S. Mokrin, and E. Murashkin, “Calculation of the Residual Stresses of Hollow Cylinder under Unsteady Thermal Action,” Lect. Notes Engng Comp. Sci. 2218, 1043–1046 (2015).

    Google Scholar 

  11. E. Dats and E. Murashkin, “On Unsteady Heat Effect in Center of the Elasti©Plastic Disk,” Lect. Notes Engng Comp. Sci. 2223, 69–72 (2016).

    Google Scholar 

  12. E. Dats, S. Mokrin, and E. Murashkin, “Calculation of the Residual Stress Field of the Thin Circular Plate under Unsteady Thermal Action,” Key EngngMater. 685, 37–41 (2016).

    Article  Google Scholar 

  13. E. Dats, E. Murashkin, and N. Stadnik, “On Heating of Thin Circular Elasti©plastic Plate with the Yield Stress Depending on Temperature,” Proc. Engng 173, 891–896 (2017).

    Article  Google Scholar 

  14. E. Dats, E. Murashkin, and N. Stadnik, “On a Multi-Physics Modelling Framework for Thermo-Elasti©PlasticMaterials Processing,” Proc.Manufact. 7, 427–434 (2017).

    Article  Google Scholar 

  15. A. V. Manzhirov, “Mechanical Design of Viscoelastic Parts Fabricated Using Additive Manufacturing Technologies,” Lect. Notes Engng Comp. Sci. 2218(1.1), 710–714 (2015).

    Google Scholar 

  16. A. V. Manzhirov, “Advances in the Theory of Surface Growth with Applications to Additive Manufacturing Technologies,” Proc. Engng 173, 11–16 (2017).

    Article  Google Scholar 

  17. A. V. Manzhirov, “Mechanical Design of AM Fabricated Prismatic Rods under Torsion,” in MATEC Web of Conf. EDP Sciences, Vol. 95 (2017), p. 12002.

    Article  Google Scholar 

  18. A. V. Manzhirov and D. A. Parshin, “Accretion of a Viscoelastic Ball in a Centrally Symmetric Force Field,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 66–83 (2006) [Mech. Solids (Engl. Transl.) 41 (1), 51–64 (2006)].

    Google Scholar 

  19. A. V. Manzhirov and D. A. Parshin, “Arch Structure Erection by an Additive Manufacturing Technology under the Action of the Gravity Force,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 94–107 (2015) [Mech. Solids (Engl. Transl.) 50 (5), 559–570 (2015)].

    Google Scholar 

  20. A. V. Manzhirov and D. A. Parshin, “Influence of the Erection Regime on the Stress State of a Viscoelastic Arched Structure Erected by an Additive Technology under the Force of Gravity,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 69–91 (2015) [Mech. Solids (Engl. Transl.) 50 (6), 657–675 (2015)].

    Google Scholar 

  21. S. I. Kuznetsov, A. V. Manzhirov, and I. Fedotov, “Heat Conduction Problem for a Growing Ball,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 139–148 (2011) [Mech. Solids (Engl. Transl.) 46 (6), 929–936 (2011)].

    Google Scholar 

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Correspondence to E. V. Murashkin.

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Original Russian Text © E.V. Murashkin, E.P. Dats, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 5, pp. 30–36.

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Murashkin, E.V., Dats, E.P. Thermoelastoplastic Deformation of a Multilayer Ball. Mech. Solids 52, 495–500 (2017). https://doi.org/10.3103/S0025654417050041

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  • DOI: https://doi.org/10.3103/S0025654417050041

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