This article is cited in 4 papers

Brief communications

Solvability of a connected thermoelasticity problem for three-layer shells

V. F. Kirichenko

Chair of Mathematics and Modeling, Saratov State Technical University, Saratov, Russia

Abstract: Using a new method 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.

Keywords: three-layer shell, partial differential equation, generalized solution of nonlinear boundary value problem.

UDC: 539.3

Presented by the member of Editorial Board: V. N. Paimushin
Received: 21.10.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:9, 57–61

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