Thermoelastic state of a nonhomogeneous orthotropic cylindrical shell with an open profile under transient heating

Keywords

thermoelasticity, cylindrical shell, heterogeneous material, temperature load.

Cite as

Kushnir R. M., Zhydyk U. V., and Flyachok V. M. Thermoelastic state of a nonhomogeneous orthotropic cylindrical shell with an open profile under transient heating. Physicochemical Mechanics of Materials. 2023. 59(2), 47-55.

https://doi.org/10.15407/pcmm2023.02.047

Abstract

The thermoelastic state of an inhomogeneous orthotropic circular cylindrical shell with an open profile under the condition of convective heat exchange between the surfaces of the shell and the environment is investigated. A generalized shear mathematical model of heterogeneous anisotropic shells of the first order and two-dimensional non-stationary heat conduction equations are used in this case. Using the methods of Fourier and Laplace integral transformations, an analytical solution to the non-stationary problem of thermal conductivity and the quasi-static problem of thermoelasticity for a finite hinged shell sup­ported at the edges is found. The stress state and deflections of the shell are calcula­ted for the case of material properties change in the radial direction according to the power law.

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