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Three-Dimensional Analysis of Metal-Ceramic Shells by the Method of Sampling Surfaces

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Mechanics of Composite Materials Aims and scope

An efficient method for solving three-dimensional elasticity problems for metal-ceramic composite shells is presented. According to this method, in the shell body, N sampling surfaces (SaS) parallel to its midsurface are chosen in order to introduce the displacement vectors of these surfaces as unknown functions. The SaS pass through the nodes of a Chebyshev polynomial, which improves the convergence of the SaS method significantly. As a result, this method can be applied to the derivation of such analytical solutions for metal-ceramic shells that asymptotically approach the exact three-dimensional solutions of elasticity as the number N of SaS tends to infinity.

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Acknowledgments

This study was financially supported by the Ministry of Education and Science of the Russian Federation (Projects No. 9.137.2014К and No. 339.2014) and the Russian Science Foundation (Project No. 15-19-30002).

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Authors and Affiliations

  1. Tambov State Technical University, Tambov, Russia

    G. M. Kulikov & S. V. Plotnikova

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  1. G. M. Kulikov
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  2. S. V. Plotnikova
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Correspondence to G. M. Kulikov.

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Translated from Mekhanika Kompozitnykh Materialov, Vol. 51, No. 4, pp. 647-660 , July-August, 2015.

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Kulikov, G.M., Plotnikova, S.V. Three-Dimensional Analysis of Metal-Ceramic Shells by the Method of Sampling Surfaces. Mech Compos Mater 51, 455–464 (2015). https://doi.org/10.1007/s11029-015-9517-4

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  • DOI: https://doi.org/10.1007/s11029-015-9517-4

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