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<p>To study the thermoelastic state of a&#xa0;rectangular in-plane shallow orthotropic layered composite and a&#xa0;sandwich spherical shell, a&#xa0;two-dimensional mathematical model of the shear theory of elasticity with six degrees of freedom and two-dimensional heat conduction equations with a&#xa0;linear temperature distribution over the thickness were used. Using the methods of Fourier and Laplace integral transforms, a&#xa0;closed analytical solution of the unsteady heat conduction problem and the quasi-static thermoelasticity problem for a&#xa0;hinged shell was constructed. The temperature field, displacements, and stresses in the shells were calculated depending on the anisotropic properties of the material, the layering structure, the time parameter, and the heat transfer coefficient.</p>

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Thermoelastic analysis of heat exchange of layered composite shallow shells

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • U. V. Zhydyk

摘要

To study the thermoelastic state of a rectangular in-plane shallow orthotropic layered composite and a sandwich spherical shell, a two-dimensional mathematical model of the shear theory of elasticity with six degrees of freedom and two-dimensional heat conduction equations with a linear temperature distribution over the thickness were used. Using the methods of Fourier and Laplace integral transforms, a closed analytical solution of the unsteady heat conduction problem and the quasi-static thermoelasticity problem for a hinged shell was constructed. The temperature field, displacements, and stresses in the shells were calculated depending on the anisotropic properties of the material, the layering structure, the time parameter, and the heat transfer coefficient.