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Problem-Oriented Functionals in the Theory of Nonlinearly Elastic Composite Shells

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Abstract

Based on the Kirchhoff-Love or Timoshenko hypotheses and with regard for a possible membrane or shear degeneration, mixed linearized functionals for four variants of shell theory are presented. The convergence of numerical methods is improved by choosing small strain components as additional variable functions. New classes of problems for thin and nonthin shells are solved. The stress-strain state of shells is studied using different variants of this theory.

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Authors and Affiliations

  1. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    A. N. Guz', V. A. Maksymyuk & I. S. Chernyshenko

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  1. A. N. Guz'
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  2. V. A. Maksymyuk
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  3. I. S. Chernyshenko
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Guz', A.N., Maksymyuk, V.A. & Chernyshenko, I.S. Problem-Oriented Functionals in the Theory of Nonlinearly Elastic Composite Shells. Mechanics of Composite Materials 38, 329–334 (2002). https://doi.org/10.1023/A:1020080125161

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