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Elastica solution for thermal bending of a functionally graded beam

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Abstract

The problem of nonlinear thermal bending of a pinned slender beam fabricated of functionally graded material is considered. Based on the concept of physically neutral surface, the problem is reduced to a system of two coupled transcendental equations in terms of Legendre’s elliptic integrals. Solutions of these equations are presented in graphical and tabular form. Specific features of the nonlinear response of the functionally graded beam under thermal loading are discussed.

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Authors and Affiliations

  1. Department of Engineering Mathematics, Novosibirsk State Technical University, 630092, Novosibirsk, 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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Levyakov, S.V. Elastica solution for thermal bending of a functionally graded beam. Acta Mech 224, 1731–1740 (2013). https://doi.org/10.1007/s00707-013-0834-1

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  • DOI: https://doi.org/10.1007/s00707-013-0834-1

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