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Representation of the solution of refined bending theory for isotropic plates

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Abstract

A solution of the bending problem for isotropic plates in a refined statement based on the system of six-order differential equations is proposed. A procedure for determining the general solutions of the corresponding biharmonic and metaharmonic equations is suggested. A method for satisfying the boundary conditions is given. The results of numerical studies of the stress state of an infinite plate with an elliptic cavity are given.

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Authors and Affiliations

  1. Donetsk National University, ul. Universitetskaya 24, Donetsk, 83001, Ukraine

    R. N. Neskorodev

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  1. R. N. Neskorodev
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Correspondence to R. N. Neskorodev.

Additional information

Original Russian Text © R.N. Neskorodev, 2014, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2014, No. 4, pp. 65–73.

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Neskorodev, R.N. Representation of the solution of refined bending theory for isotropic plates. Mech. Solids 49, 413–421 (2014). https://doi.org/10.3103/S0025654414040062

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  • DOI: https://doi.org/10.3103/S0025654414040062

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