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HomeKey Engineering MaterialsKey Engineering Materials Vol. 685Steady Flow of Incompressible Elastic-Plastic...

Steady Flow of Incompressible Elastic-Plastic Medium in a Spherical Matrix at Variable Loads

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Abstract:

In the framework of the model of large elastic-plastic deformations, the flow of the material in a spherical matrix at varying loads is examined. Simulation is carried out under the condition of steady elastic-plastic boundary. In order to find an exact solution the assumption of an ideal smoothness of the walls and incompressibility of the material is accepted.

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High Technology: Research and Applications 2015

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Periodical:

Key Engineering Materials (Volume 685)

Pages:

32-36

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.32

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Online since:

February 2016

Authors:

Marina V. Polonik*, Egor E. Rogachev

Keywords:

Elasticity, Large Elastic-Plastic Deformations, Plasticity, Rheology, Stresses

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] Ivlev D.D., The theory of ideal plasticity. M.: Nauka. 1966. 232 p. (In Russian).

[2] Bykovtsev G.I., Ivlev D.D., Theory of Plasticity, Dalnauka, Vladivostok, 1998. (In Russian).

[3] Ishlinskii A.J., The general theory of plasticity with linear hardening, Ukrainian Mathematical Journal. 6(3) (1954) 314-324. (In Russian).

[4] A.A. Ilyushin, Plasticity. M.: Publishing House of the USSR Academy of Sciences, 1963. 272.

[5] A.A. Pozdeev, P.V. Trusov, Nyashina YI Large elastoplastic deformation theory, algorithms, applications. M.: Nauka. 1986. 232 p. (In Russian).

[6] Burenin A.A., Bykovtsev G.I., Kovtanyuk L.V., On a simple model for elastic-plastic medium at finite deformations, Reports of the RAS. 347(2) (1996) 199-201. (In Russian).

[7] E.V. Murashkin, M.V. Polonik, Development of approaches to the creep process modeling under large deformations, Applied Mechanics and Materials. 249-250 (2013) 833-837.

DOI: 10.4028/www.scientific.net/amm.249-250.833

[8] Burenin A.A., Kovtanyuk L.V., Goncharova M.V. (Polonik M.V. ), Irreversible deformation of incompressible medium in the vicinity of a spherical cavity under hydrostatic pressure, Izv. RAN, Mechanics of Solids. 4 (1999) 150-156. (In Russian).

[9] E. Lee, Elastic-plastic deformation at finite strains, J. Applied Mechanics, 36(1) (1969) 1-6.

[10] Levitas V.I., Large elastoplastic deformation of materials at high pressure. Kiev: Nauk. Dumka, 1987. 232 p. (in Russian).

[11] Bykovtsev G.I., Shitikov A.V., Finite deformation elastic-plastic media, Reports of the Academy of Sciences of the USSR. 311(1) (1990) 59-62. (In Russian).

[12] А.А. Rogovoi, Defining ratios for the final elastic and inelastic deformations, Applied Mechanics and Technical Physics, 46(5) (2005) 138-149.

[13] A.D. Chernyshov, Constitutive equations for elastic-plastic body at final deformations, Izv. RAN, Mechanics of Solids, 1 (2000) 120-128.

[14] A.A. Burenin, L.V. Kovtanyuk, M.V. Polonik, The possibility of reiterated plastic flow at the overall unloading of an elastoplastic medium, Doklady Physics, 45(12) (2000) 694-696.

DOI: 10.1134/1.1342452

[15] M.V. Polonik, E.V. Murashkin, Formation of the Stress Field in the Vicinity of a Single Defect under Shock (Impulse) Loading, 774-776 (2013) 1116-1121.

DOI: 10.4028/www.scientific.net/amr.774-776.1116

[16] A.A. Burenin, L.V. Kovtanyuk, E.V. Murashkin, On the residual stresses in the vicinity of a cylindrical discontinuity in a viscoelastoplastic material, Journal of Applied Mechanics and Technical Physics, 47 (2) (2006) 241-248.

DOI: 10.1007/s10808-006-0049-5

[17] E.V. Murashkin, M. Polonik, Determination of a Loading Pressure in the Metal Forming by the Given Movements, Advanced Materials Research, 842 (2014) 494-499.

DOI: 10.4028/www.scientific.net/amr.842.494

[18] A.A. Burenin, L.V. Kovtanyuk, A.L. Mazelis, The pressing of an elastoviscoplastic material between rigid coaxial cylindrical surfaces, Journal of Applied Mathematics and Mechanics, 70(3) (2006) 437-445.

DOI: 10.1016/j.jappmathmech.2006.07.004

[19] A.A. Burenin, L.V. Kovtanyuk, A.S. Ustinovа, Accounting for the elastic properties of a non-Newtonian material under its viscosimetric flow, Journal of Applied Mechanics and Technical Physics, 49(2) (2008) 277-284.

DOI: 10.1007/s10808-008-0038-y

[20] A.A. Burenin, O.V. Dudko, A.A. Mantsybora, Propagation of Reversible Deformation in a Medium with Accumulated Irreversible Strains, Journal of Applied Mechanics and Technical Physics, 43(5) (2002) 770-776.

DOI: 10.1023/a:1019808407336

[21] M.V. Polonik, E.E. Rogachev, On the stationary flow of an incompressible elastoplastic medium in a spherical diffuser, Sib. Zh. Ind. Mat., 15(2) (2012) 99-106.