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Resolvents of the theory of orthotropic shells with low shear stiffness in force-moments and stress functions

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Abstract

The problem of the theory of orthotropic layered shells with low shear stiffness is reformulated in force-moments and stress functions on the basis of new strain continuity relations constructed with allowance for transverse shears.

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Literature cited

  1. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Rigid Polymeric Materials [in Russian], Riga (1967).

  2. V. I. Korolev, Layered Anisotropic Reinforced-Plastic Shells and Plates [in Russian], Moscow (1965).

  3. S. A. Ambartsumyan, Theory of Anisotropic Shells [in Russian], Moscow (1961).

  4. M. P. Sheremet'ev and B. L. Pelekh, Theoretical and Applied Mathematics, 2 [in Ukrainian], L'vov (1963).

  5. B. L. Pelekh, Candidate's Dissertation, L'vov (1965).

  6. G. A. Teters, Complex Loading and Stability of Shells Made of Polymeric Materials [in Russian], Riga (1969).

  7. A. L. Gol'denveizer, Theory of Elastic Thin Shells [in Russian], Moscow (1951).

  8. A. I. Lur'e, Statics of Thin-Walled Elastic Shells [in Russian], Moscow-Leningrad (1947).

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Additional information

Physicomechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 5, pp. 950–952, September–October, 1970.

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Pelekh, B.L., Teters, G.A. Resolvents of the theory of orthotropic shells with low shear stiffness in force-moments and stress functions. Polymer Mechanics 6, 832–834 (1970). https://doi.org/10.1007/BF00856225

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  • DOI: https://doi.org/10.1007/BF00856225

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