Calculation of multilayer cylindrical shells taking into account thermoelectric effect based on refined theory


Аuthors

Firsanov V. V.1*, Nguyen L. H.1**, Tran N. D.2***

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Le Quy Don Technical University, 236, Hoang Quoc Viet, Ha Noi, Viet Nam

*e-mail: k906@mai.ru
**e-mail: lehung.mai@mail.ru
***e-mail: ngocdoanmai@gmail.com

Abstract

This paper presents the refined theory of multilayer cylindrical shells in order to increase the reliability of the results that calculate the stress-strain state in the edge zones under the combined action of thermoelectromechanical loads. The displacements of the shell are represented as polynomials along the coordinate normal to the middle surface, two degrees higher than in the classical theory of the Kirchhoff — Love type. The proposed mathematical model of the stress-strain state for shells is based on the Lagrange variational principle. The solution of the formulated boundary value problem is carried out using trigonometric Fourier series and Laplace’s operational method. An example of calculating the stress state of multilayer cylindrical shells rigidly clamped at the edges under the action of mechanical loading, thermal heating and electric field is given. Comparison of the results of calculations with the data of the classical theory is presented, and the presence of stresses of the «boundary layer» type near the rigidly fastened edges of the shell is shown.

Keywords:

composite cylindrical shell, thermoelectroelasticity, stress-strain state, Lagrange variational principle, boundary layer, edge effect

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