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IssuesArchive of Issues2017-5pp.495-500

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E.V. Murashkin and E.P. Dats, "Thermoelastoplastic Deformation of a Multilayer Ball," Mech. Solids. 52 (5), 495-500 (2017)
Year 2017 Volume 52 Number 5 Pages 495-500
DOI 10.3103/S0025654417050041
Title Thermoelastoplastic Deformation of a Multilayer Ball
Author(s) E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005 Russia, murashkin@ipmnet.ru)
E.P. Dats (Vladivostok State University of Economics and Service, ul. Gogolya 41, Vladivostok, 690014 Russia)
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.
Keywords elasticity, plasticity, temperature stress, residual strain, residual stress, heat conduction
References
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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).
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)].
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 Chuvashiya Gos. Pedagog. Univ., Ser. Mekh. Predeln. Sost., No. 4, 123-132 (2012).
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).
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)].
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).
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).
11.  E. Dats and E. Murashkin, "On Unsteady Heat Effect in Center of the Elastic-Plastic Disk," Lect. Notes Engng Comp. Sci. 2223, 69-72 (2016).
12.  E. Dats, S. Mokrin, and E. Murashkin, "Calculation of the Residual Stress Field of the Thin Circular Plate under Unsteady Thermal Action," Key Engng Mater. 685, 37-41 (2016).
13.  E. Dats, E. Murashkin, and N. Stadnik, "On Heating of Thin Circular Elastic-plastic Plate with the Yield Stress Depending on Temperature," Proc. Engng 173, 891-896 (2017).
14.  E. Dats, E. Murashkin, and N. Stadnik, "On a Multi-Physics Modelling Framework for Thermo-Elastic-Plastic Materials Processing," Proc. Manufact. 7, 427-434 (2017).
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).
16.  A. V. Manzhirov, "Advances in the Theory of Surface Growth with Applications to Additive Manufacturing Technologies," Proc. Engng 173, 11-16 (2017).
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.
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)].
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)].
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)].
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)].
Received 08 June 2017
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