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Thermoelastic deformation of reinforced chiral cylinders

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Abstract

This paper is concerned with the deformation of a chiral elastic bar subjected to a thermal field. The bar is composed of two different materials welded together along the surface of separation. The behavior of chiral materials is of interest for the investigation of bones and auxetic materials. We study the deformation of isotropic chiral materials by using the equilibrium theory of Cosserat thermoelasticity. The temperature variation is assumed to be a polynomial in the axial coordinate. It is shown that a plane thermal field, in contrast with the result predicted by the theory of achiral materials, produces torsional effects. The solution of the problem could be used to investigate the behavior of bone implants and other compound cylinders. The method is applied to the case of a circular bar reinforced by a longitudinal circular rod.

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Authors and Affiliations

  1. “Al. I. Cuza” University of Iaşi and “O. Mayer” Institute of Mathematics, Romanian Academy, Bd. Carol I, No. 8, 700508, Iasi, Romania

    D. Ieşan

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  1. D. Ieşan
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Correspondence to D. Ieşan.

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Ieşan, D. Thermoelastic deformation of reinforced chiral cylinders. Acta Mech 228, 3901–3922 (2017). https://doi.org/10.1007/s00707-017-1900-x

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  • DOI: https://doi.org/10.1007/s00707-017-1900-x

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