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Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges

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Abstract

In the nonlinear theory of shells all known existence theorems are based on the Kirchhoff-Love model. We prove a new existence theorem using the displacement model proposed by S. P. Timoshenko.

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Authors and Affiliations

  1. Kama State Engineering Economic Academy, pr. Mira 68/18, Naberezhnye Chelny, 423810, Russia

    S. N. Timergaliev

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  1. S. N. Timergaliev
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Correspondence to S. N. Timergaliev.

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Original Russian Text © S.N. Timergaliev, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 8, pp. 56–68.

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Timergaliev, S.N. Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges. Russ Math. 55, 47–58 (2011). https://doi.org/10.3103/S1066369X11080081

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  • DOI: https://doi.org/10.3103/S1066369X11080081

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