Abstract
In this paper, the authors develop Reissner’s mixed variational theorem (RMVT)-based finite layer methods for the three-dimensional (3D) coupled thermoelastic analysis of simply supported, functionally graded, doubly curved (DC) shells with temperature-independent material properties. A two-phase composite material is considered to form the shell, and its material properties are assumed to obey a power–law distribution of the volume fractions of the constituents through the thickness direction of the shell. The effective material properties are estimated using the Mori–Tanaka scheme. The accuracy and convergence rate of these RMVT-based finite layer methods are validated by comparing their solutions with the quasi 3D and accurate two-dimensional solutions available in the literature.
Highlights
In 1984, a Japanese scientist, Niino, proposed the concept of functionally graded (FG) materials for use in thermal barrier materials at the National Aerospace Laboratory of Japan [1,2]
Based on Reddy’s refined higher-order shear deformation theory (HSDT) [46] coupled with the von Kármán geometrical nonlinearity (VKGN) term, Shen [47,48] investigated the nonlinear thermal bending responses of FG plates subjected to the thermomechanical loads, in which temperature-dependent material properties were considered, and this approach was extended to the similar analysis of FG cylindrical panels resting on elastic foundations by Shen and Wang [49]
Due to the fact that Reissner’s mixed variational theorem (RMVT)-based models have better performance than the principle of virtual displacements (PVD)-based ones and that the LW models are better than the equivalent single layer theories (ESLTs) ones in capturing the interlaminar stresses and deformation, in this work we extend some existing RMVT-based finite layer methods [52,53,54,55] for laminated composite plates/hollow cylinders to the thermoelastic analysis of multilayered FG doubly curved (DC) shells subjected to thermal loads
Summary
In 1984, a Japanese scientist, Niino, proposed the concept of functionally graded (FG) materials for use in thermal barrier materials at the National Aerospace Laboratory of Japan [1,2]. Based on Reddy’s refined higher-order shear deformation theory (HSDT) [46] coupled with the von Kármán geometrical nonlinearity (VKGN) term, Shen [47,48] investigated the nonlinear thermal bending responses of FG plates subjected to the thermomechanical loads, in which temperature-dependent material properties were considered, and this approach was extended to the similar analysis of FG cylindrical panels resting on elastic foundations by Shen and Wang [49]. Due to the fact that RMVT-based models have better performance than the PVD-based ones and that the LW models are better than the ESLT ones in capturing the interlaminar stresses and deformation, in this work we extend some existing RMVT-based finite layer methods [52,53,54,55] for laminated composite plates/hollow cylinders to the thermoelastic analysis of multilayered FG doubly curved (DC) shells subjected to thermal loads. The relevant solution process of the modified Pagano method can be found in Wu and Lu [56], and is not repeated here for brevity
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