Geodesic
Torsion of the nonhomogeneous anisotropic thin-walled bars with curvilinear profile
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1988), pp. 41-47 
V. S. Sargsyan; S. El Shahat. Torsion of the nonhomogeneous anisotropic thin-walled bars with curvilinear profile. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1988), pp. 41-47. http://geodesic.mathdoc.fr/item/UZERU_1988_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the solution of the torsional problem of nonhomogeneous, anisotropic prismatical bars. For this problem recurrent differential equations and boundary conditions have been obtained by the method of small geometrical parameter. A special case is considered when the coefficients of elasticity are given in the exponential function form.

[1] N. X. Arutyunyan, B. L. Abramyan, Kruchenie uprugikh tel., Fizmatgiz, M., 1963

[2] V. Z. Vlasov, Tonkostennye sterzhni, Fizmatgiz, M., 1959

[3] G. Yu. Dzhanelidze, “Obobschennye zavisimosti teorii tonkikh sterzhnei”, DAN SSSR, XVI:4 (1949), 597–600 | MR

[4] A. A. Umanskii, Kruchenie i izgib tonkostennykh aviakonstruktsii, Oborongiz, M., 1939

[5] R. L. Malkina, “Raschet izgiba i kruchenie tsilindricheskoi obolochki proizvolnogo otkrytogo profilya”, Voprosy stroit, mekhaniki. Uralsk: Politekhnicheskii in-t im. S. M. Kirova, No. 54, Politekhnicheskii in-t im. S. M. Kirova, Uralsk, 1955

[6] I. V. Sukharevskii, V. A. Tkachenko, Zap. mekh-mat. f-ta Kharkovskogo gosuniversiteta i Kharkovskogo matematicheskogo obschestva, XXVIII:4 (1961)

[7] L. S. Leibenzon, Sobranie trudov, v. 1, Izd. AN SSSR, M., 1951 | MR

[8] A. A. Griffiths, “Preliminary Report on the twisting of Propeller Blades”, Rep. a Mem., 1918, no. 454

[9] J. Prescott, Applied Elasticity, New York, 1946 | MR

[10] V. S. Sarkisyan, A. Mamrillova, Manukyan E. A., “O kruchenii neodnorodnykh anizotropnykh prizmaticheskikh sterzhnei”, Uch. zap. EGU, 1977, no. 1

[11] V. A. Lomakin, Teoriya uprugosti neodnorodnogo tela, Izd. MGU, M., 1976

[12] S. G. Lekhnitskii, Teoriya uprugosti anizotropnogo tela, M.-L., 1950 | MR

[13] V. S. Sarkisyan, Nekotorye zadachi matematicheskoi teorii uprugosti anizotropnogo tela., Izd-vo EGU, Er., 1976 | MR