Thermoelastic analysis of heat exchange of layered composite shallow shells

To study the thermoelastic state of a rectangular in plan shallow orthotropic layered com-posite 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 conduc¬tion 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 un-steady heat conduction problem and the quasi-static thermoelasticity problem for a hinged shell were constructed. The temperature field, displacements and stresses in the shells were calculated depending on the anisotropic properties of the material, the layering struc-ture, the time parameter and the heat transfer coefficient.