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Nonlinear spatial bending of shear-deformable curvilinear rods

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Abstract

A finite element is proposed for analyzing nonlinear deformation and stability of three-dimensional rods at arbitrarily large elastic displacements. Timoshenko’s model is used for taking transverse shear strains into account. The accuracy and convergence of numerical solutions are studied by an example of problems of nonlinear bending of curvilinear rods.

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  1. Novosibirsk State Technical University, Novosibirsk, 630092, Russia

    S. V. Levyakov

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  1. S. V. Levyakov
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Correspondence to S. V. Levyakov.

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Original Russian Text © S.V. Levyakov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 2, pp. 128–136, March–April, 2012.

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Levyakov, S.V. Nonlinear spatial bending of shear-deformable curvilinear rods. J Appl Mech Tech Phy 53, 258–265 (2012). https://doi.org/10.1134/S0021894412020149

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  • DOI: https://doi.org/10.1134/S0021894412020149

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