×

zbMATH — the first resource for mathematics

Existence and uniqueness of the solution of the elastic-plastic torsion problem for a cylindrical bar of oval cross-section. (English. Russian original) Zbl 0158.21604
PMM, J. Appl. Math. Mech. 29, 1038-1047 (1965); translation from Prikl. Mat. Mekh. 29, 879-887 (1965).

PDF BibTeX XML Cite
Full Text: DOI
References:
[1] St.Venant, B., Differential equations of the internal motion in solid bodies and the boundary conditions for these solids, (), Russian translation edited by
[2] Nadai, A., Der beginn des fliessvorganges in einem tordierten stab, Z.angew.math.mech., Vol.3, (1923) · JFM 49.0596.03
[3] Sokolovskii, V.V., Ob odnoi zadache uprugo-plasticheskogo krucheniia, Pmm, Vol.6, N≗ 2-3, (1942)
[4] Galin, L.A., Uprugo-plasticheskoe kruchenie prizmaticheskikh sterzhnei, Pmm, Vol.8, N≗ 4, (1944)
[5] von Mises, R., Three remarks on the theory of the ideal plastic body, Reissner aniversary volume, (1949), Ann.Arbor, Michigan · Zbl 0040.10902
[6] Galin, L.A., Uprugo-plasticheskoe kruchenie prizmaticheskikh sterzhnei, Pmm, Vol.13, N≗ 3, (1949)
[7] Galin, L.A., O sushchestvovanii resheniia uprugo-plasticheskoi zadachi krucheniia prizmaticheskikh sterzhnei, Pmm, Vol.13, N≗ 6, (1949)
[8] Trefftz, E., Über die spannungsverteilung in -tordierten staben bei teilweiser überschreitung der fliessgrenze, Z.angew.math.mech., Vol.5, (1925) · JFM 51.0651.04
[9] Christopherson, D.G.; Southwell, R.V., Relaxation method applied to engineering problems, () · Zbl 0020.22604
[10] Bulygin, V.Ia., Ob uprugo-plasticheskom kruchenii prizmaticheskikh sterzhnei, Pmm, Vol.13, N≗ 1, (1952)
[11] Kiselev, B.M., Reshenie kraevykh zadach, opisyvaemykh uravneniiami v chastnykh proizvodnykh smeshannykh tipov, (1958), Trudy tsent. aero-gidrodin. Inst, N≗ 718
[12] Perlin, P.I., Uprugo-plasticheskoe kruchenie sterzhnei oval’nogo poperechnogo secheniia, Inzh.sb., Vol.31, (1961)
[13] Varlei, E., Flows of dilitant fluids, Q.appl.math., Vol.19, N≗ 3, (1962)
[14] Chebotarev, N.G., ()
[15] Petrovskii, I.G., Lektsii po teorii obyknovennykh differentsial’nykh uravnenii, (1952), Gostekhizdat
[16] Bernshtein, S.N., ()
[17] de la Vallée-Poussin, C.J., (), (Russian Translation)
[18] Lefschetz, S., Geometric theory of differential equations, (1961), Izd. inostr. Lit, (Russian translation) · Zbl 0094.05803
[19] Tricomi, F., Lectures on partial differential equations, (1957), Izd. inostr. Lit, (Russian translation)
[20] Pogorelov, A.V., Ob uravneniiakh monzha-ampera ellipticheskogo tipa, (1961), Izd. khar’k. Univ
[21] Bakel’man, I.Ia., Reguliarnye resheniia uravnenii monzha-ampera, Dokl. akad. nauk SSSR, Vol.157, N≗ 2, (1964)
[22] Miranda, K., Uravneniia v chastnykh proizvodnykh ellipticheskogo-tipa, (1957), Izd. inostr. Lit
[23] Hartman, P.; Winter, A., On pieces of convex surfaces, Am.J.math., Vol.75, N≗ 3, (1953)
[24] Sokolovskii, V.V., Teoriia plastichnosti, (1950), Gostekhizdat
[25] Muskhelishvili, N.I., Nekotorye osnovnye zadachi matamaticheskoi teorii uprugosti, (1954), Izd. Akad. Nauk SSSR · Zbl 0057.16805
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.