Geodesic
Torsion of a circular cylinder at finite strain
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 19-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The strains in a long circular cylinder made of an incompressible material spinning under the conditions close to the conditions of plane deformation are determined for the case of a given displacement field using the matrix approach. The various approximations of strain matrices are considered. A generalized representation of these matrices in the form of the logarithm of a symmetric operator matrix obtained by multiplying the direct and transposed matrices of the operator of deformation (stretching) is discussed. The strain tensor components are found. 
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     title = {Torsion of a circular cylinder at finite strain},
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}
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G. Z. Sharafutdinov. Torsion of a circular cylinder at finite strain. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 19-23. http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a3/

[1] Leibenzon L.S., Kurs teorii uprugosti, GITTL, M.–L., 1947 | MR

[2] Lure A.I., Teoriya uprugosti, Nauka, M., 1970 | MR

[3] Grin A., Adkins Dzh., Bolshie uprugie deformatsii i nelineinaya mekhanika sploshnoi sredy, Mir, M., 1965 | MR

[4] Murnagan F.D., Finite deformation of an elastic solid, John Wiley Sons, Inc., NY; Chapman Hall, Limited, London, 1951 | MR

[5] Sharafutdinov G.Z., “Teoriya deformatsii”, Izv. MGIU, 2008, no. 1(10), 92–111

[6] Sharafutdinov G.Z., “Logarifmicheskaya deformatsiya v zadachakh nelineinogo deformirovaniya”, Izbrannye problemy sovremennoi mekhaniki, v. 2, ed. V.A. Sadovnichii, Izd-vo MGU, M., 2011, 65–72

[7] Setkh B.R., “Ponyatie mery deformatsii v tekhnike vysokoskorostnogo deformirovaniya”, Uspekhi mekhaniki deformiruemykh sred, Nauka, M., 1975, 528–531

[8] Sedov L.I., Vvedenie v mekhaniku sploshnoi sredy, Fizmatgiz, M., 1962 | MR

[9] Gantmakher F.R., Teoriya matrits, Nauka, M., 1967 | MR