Buckling Behavior of Functionally Graded Doubly Curved Spherical and Cylindrical Shells

Abstract

Functionally Graded Materials (FGM) is an advance material with varying properties across the thickness. The overall properties of the material can be altered according to its different applications. FGM shells and plates are being used in various sectors of engineering, military, medical, construction, chemical industries. Wide use of FGM makes it an area of research for better development of machinery, equipment and many more. For few decades, the researches had done taking different solving methods and deformation theories to get the best results for FGM shells and plates. Buckling response of FGM shells are being discussed and modelled using inverse hyperbolic shear deformation theory. The mentioned theory based upon a shear strain function which satisfies the criteria of continuity and differentiability, also satisfies traction free boundary conditions. The governing equations are solved using principle of virtual work. The solution methodology used is Navier type exact solution. Results are provided for plates, thin and thick shells. Also, finite element method is implemented to analyze the buckling response of the FGM doubly curved spherical and cylindrical shells and the eigenvalue solution method is used to get the non-dimensionality buckling results. Results obtained for closed-form solutions as well as numerical method are validated and compared with each other to examine the accuracy of the generalized code and the comparison of analytical results and additionally done with the existing close-form results.