Geodesic
Perfectly rigid plastic flow in the thin gap between two approaching coaxial cones
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2014), pp. 51-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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An asymptotic analysis of the boundary value problem on the inertialess axially symmetric flow of a perfectly rigid plastic incompressible material inside a clearance between two approaching coaxial cones is performed. The ratio of the distance between the conical surfaces to the length of the generatrix is taken as a small geometric parameter. By means of the procedure of asymptotic integrating, the coefficients of several principal terms in the expansions for both velocities and stresses are obtained in analytical form. The subdomains where the asymptotic behavior is known to be absent are determined. 
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     author = {D. V. Georgievskii},
     title = {Perfectly rigid plastic flow in the thin gap between two approaching coaxial cones},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_6_a7/}
}
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D. V. Georgievskii. Perfectly rigid plastic flow in the thin gap between two approaching coaxial cones. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2014), pp. 51-56. http://geodesic.mathdoc.fr/item/VMUMM_2014_6_a7/

[1] Prandtl L., “Anwendungsbeispiele zu einem Henckyschen Satz über das plastische Gleichgewicht”, Z. Angew. Math. und Mech., 3:6 (1923), 401–406 ; Prandtl L., “Primery primeneniya teoremy Genki k ravnovesiyu plasticheskikh tel”, Teoriya plastichnosti, IL, M., 1948, 102–113 | DOI | Zbl

[2] Prager W., Hodge P.G., Theory of perfectly plastic solids, Wiley, N.Y., 1951 ; Prager V., Khodzh F.G., Teoriya idealno plasticheskikh tel, IL, M., 1956 | MR | Zbl

[3] Hill R., Lee E.H., Tupper S.J., “A method of numerical analysis of plastic flow in plane strain and its application to the compression of a ductile material between rough plates”, J. Appl. Mech., 18:1 (1951), 46–52 ; Khill R., Li E., Tapper S., “Metod chislennogo analiza plasticheskogo techeniya pri ploskoi deformatsii i ego prilozhenie k szhatiyu materiala mezhdu sherokhovatymi plastinami”, Mekhanika. Period. sb. per. in. statei, 19:3 (1953), 114–126 | MR | Zbl

[4] Ilyushin A.A., “Polnaya plastichnost v protsessakh techeniya mezhdu zhestkimi poverkhnostyami, analogiya s peschanoi nasypyu i nekotorye prilozheniya”, Prikl. matem. i mekhan., 19:6 (1955), 693–713

[5] Druyanov B.A., Nepershin R.I., Teoriya tekhnologicheskoi plastichnosti, Mashinostroenie, M., 1990

[6] Zadoyan M.A., Prostranstvennye zadachi teorii plastichnosti, Nauka, M., 1992 | MR

[7] Ishlinskii A.Yu., Ivlev D.D., Matematicheskaya teoriya plastichnosti, Fizmatlit, M., 2001

[8] Kiiko I.A., “Obobschenie zadachi L. Prandtlya ob osadke polosy na sluchai szhimaemogo materiala”, Vestn. Mosk. un-ta. Matem. Mekhan., 2002, no. 4, 47–52

[9] Georgievskii D.V., “Asimptoticheskie razlozheniya i vozmozhnosti otkaza ot gipotez v zadache Prandtlya”, Izv. RAN. Mekhan. tverdogo tela, 2009, no. 1, 83–93 | MR

[10] Georgievskii D.V., “Asimptoticheskii analiz plasticheskogo techeniya vdol obrazuyuschei v tonkom tsilindricheskom sloe”, Prikl. mekhan. i tekhn. fiz., 51:5 (2010), 111–119 | MR | Zbl

[11] Georgievskii D.V., “Techenie Sen-Venana v tonkom sloe, podverzhennom plasticheskomu szhatiyu”, Izv. RAN. Mekhan. tverdogo tela, 2011, no. 4, 104–115

[12] Georgievskii D.V., “Szhatie–stok asimptoticheski tonkogo idealno zhestkoplasticheskogo sfericheskogo sloya”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 6, 65–68

[13] Georgievskii D.V., Yushutin V.S., “Kvazistaticheskoe szhatie i rastekanie asimptoticheski tonkogo nelineino-vyazkoplasticheskogo sloya”, Prikl. mekhan. i tekhn. fiz., 53:3 (2012), 150–157 | MR

[14] Georgievskii D.V., “Asimptoticheskoe integrirovanie zadachi Prandtlya v dinamicheskoi postanovke”, Izv. RAN. Mekhan. tverdogo tela, 2013, no. 1, 97–105

[15] Georgievskii D.V., “Vydavlivanie plasticheskogo materiala iz krugovogo sektora s malym uglom rastvora i stokom v vershine”, Prikl. matem. i mekhan., 77:1 (2013), 153–160 | MR

[16] Kravchenko V.F., Nesenenko G.A., Pustovoit V.I., Asimptotiki Puankare reshenii zadach neregulyarnogo teplo- i massoperenosa, Fizmatlit, M., 2006