Thermal Bending Analysis of FGM Cylindrical Shells Using a Quasi-3D Type Higher-Order Shear Deformation Theory

This paper explores the thermal stresses of FGM cylindrical shells with various boundary conditions using the quasi-3D type higher-order shear deformation theory. The displacement field is expressed by polynomials of the coordinate along the thickness direction. The equations of equilibrium including thermomechanical effects and their corresponding boundary conditions are derived based on the principle of virtual work. Using simple trigonometric series and the Laplace transform, the solutions of boundary problems with different conditions are derived. The results from the present theoretical models are compared with previously published data using several other models. A thermal bending analysis is conducted to illustrate the influences of boundary conditions and several geometric parameters on the thermal responses. © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.