A Layer-Wise Coupled Thermo-Elastic Shell Model for Three-Dimensional Stress Analysis of Functionally Graded Material Structures

In this work, a coupled 3D thermo-elastic shell model is presented. The primary variables are the scalar sovra-temperature and displacement vector. This allows for thermal stress analysis of one-layered sandwich plates shells embedding Functionally Graded Material (FGM) layers. equilibrium equations Fourier heat conduction equation spherical put together into set four equations. They automatically degenerate in those simpler geometries thanks to proper considerations about radii curvature use orthogonal mixed curvilinear coordinates α, β, z. obtained partial differential governing along thickness direction solved using exponential matrix method. closed form solution possible assuming simply supported boundary conditions harmonic forms all unknowns. amplitudes directly imposed at outer surfaces each geometry steady-state conditions. effects environment related profiles through thickness. static responses evaluated terms displacements stresses. After global preliminary validation, new cases presented different ratios, geometries, temperature values external surfaces. considered FGM metallic bottom ceramic top. layer can be embedded configuration or configuration. fully provides results that coincident with proposed by uncoupled separately solves equation. differences always less than 0.5% investigated displacement, temperature, component. between present full advantages clearly shown. Both material included conducted analyses.