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Characteristics of discrete schemes used in stability problems of rods and shells. (English. Russian original) Zbl 0477.73076
Sov. Appl. Mech. 17, 265-270 (1981); translation from Prikl. Mekh. 17, No. 3, 74-80 (1981).

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
49M25 Discrete approximations in optimal control
74G60 Bifurcation and buckling
74K25 Shells
65L10 Numerical solution of boundary value problems involving ordinary differential equations
74K15 Membranes
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
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References:
[1] V. V. Gaidaichuk, E. A. Gotsulyak, and V. I. Gulyaev, ?Nonlinear stability of toroidal shells of variable thickness,? Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 107 (1978).
[2] E. I. Grigolyuk and V. V. Kabanov, Stability of Shells [in Russian], Nauka, Moscow (1978), p. 359.
[3] Yu. V. Lipovtsev, ?Characteristic features of the application of the pivotal method to the solution of problems of the stability of shells and plates,? Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 174 (1968).
[4] V. I. Myachenkov, ?Stability of orthotropic shells of revolution under axisymmetric loads,? Inzh. Zh. Mekh. Tverd. Tela, No. 1, 106 (1968).
[5] S. K. Radkhamokhan and A. V. Setlur, ?Buckling of cylindrical shells of variable thickness under a transverse pressure,? Raket. Tekh. Kosmon.,14, 114 (1976).
[6] A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977). · Zbl 0368.65031
[7] D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra [in Russian], Fizmatgiz, Moscow (1960). · Zbl 0094.11005
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