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On Solvability of Boundary Value Problems for Elastic Micropolar Shells with Rigid Inclusions

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Abstract—

In the framework of the linear theory of micropolar shells, existence and uniqueness theorems for weak solutions of boundary value problems describing small deformations of elastic micropolar shells connected to a system of absolutely rigid bodies are proved. The definition of a weak solution is based on the principle of virial movements. A feature of this problem is non-standard boundary conditions at the interface between the shell and solids.

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Funding

This work was supported by the Russian Foundation for Basic Research (grant no. 20-08-00450А).

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Authors and Affiliations

  1. Gdańsk University of Technology (Politechnika Gdańska), 80-233, Gdańsk, Poland

    V. A. Eremeev

  2. National Research Lobachevsky State University of Nizhny Novgorod, 603950, Nizhny Novgorod, Russia

    V. A. Eremeev

  3. National University of Colombia, Bogotá D.C., Colombia

    L. P. Lebedev

Authors
  1. V. A. Eremeev
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  2. L. P. Lebedev
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Correspondence to V. A. Eremeev or L. P. Lebedev.

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Translated by I. K. Katuev

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Eremeev, V.A., Lebedev, L.P. On Solvability of Boundary Value Problems for Elastic Micropolar Shells with Rigid Inclusions. Mech. Solids 55, 852–856 (2020). https://doi.org/10.3103/S0025654420050052

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  • DOI: https://doi.org/10.3103/S0025654420050052

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