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Solvability of a connected thermoelasticity problem for three-layer shells

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Abstract

Using a newmethod for obtaining a priori bounds, we prove the solvability of a connected thermoelasticity problem “with displacements” for shallow three-layer shells within the Grigolyuk and Chulkov conjectures, taking into account the geometric nonlinearity.

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References

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Authors and Affiliations

  1. Saratov State Technical University, ul. Politekhnicheskaya 77, Saratov, 410054, Russia

    V. F. Kirichenko

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  1. V. F. Kirichenko
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Correspondence to V. F. Kirichenko.

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Submitted by V.N. Paimushin

Original Russian Text © V.F. Kirichenko, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 9, pp. 66–71.

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Kirichenko, V.F. Solvability of a connected thermoelasticity problem for three-layer shells. Russ Math. 56, 57–61 (2012). https://doi.org/10.3103/S1066369X12090071

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  • DOI: https://doi.org/10.3103/S1066369X12090071

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