Polymer mechanics

, Volume 6, Issue 1, pp 124–126 | Cite as

On the applicability of two-dimensional applied theories to problems of the stability of axially loaded cylindrical shells made of materials with low shear stiffness

  • A. N. Guz'
  • I. Yu. Babich
  • B. L. Pelekh
  • G. A. Teters
Brief Communications


The applicability of two-dimensional applied theories of the Kirchhoff-Love, Timoshenko, and Ambartsumyan types to problems of the stability of shells with low shear stiffness [1] is discussed. The critical loads given by these theories are compared with those recently obtained [6–8] by solving the problem of the stability of a cylindrical shell on the basis of general solutions [3, 4] of the three-dimensional linearized equations of the theory of elasticity [5].


Linearize Equation General Solution Cylindrical Shell Critical Load Shear Stiffness 
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Literature cited

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    A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Polymeric Materials [in Russian], Riga (1967).Google Scholar
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    A. N. Guz', Prikl. Mekhan.,3, 40 (1967).Google Scholar
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    A. N. Guz', PMM,32, 930 (1968).Google Scholar
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    V. V. Novozhilov, Fundamentals of the Nonlinear Theory of Elasticity [in Russian], Moscow (1948).Google Scholar
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    I. Yu. Babich and A. N. Guz', Mekhan. Polim., No. 6, 1064 (1969).Google Scholar
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    I. Yu. Babich, Dop. AN URSR. Ser. A, No. 5, 451 (1968).Google Scholar
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    I. Yu. Babich, Tr. NTO Sudprom., 108 [in Russian], Leningrad (1968), p. 145.Google Scholar
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    S. A. Ambartsumyan, Theory of Anisotropic Shells [in Russian] Moscow (1961).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • A. N. Guz'
  • I. Yu. Babich
  • B. L. Pelekh
  • G. A. Teters

There are no affiliations available

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