Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure

Abstract

Finite Element Method based on Rayleigh-Ritz energy formulation is applied to obtain the elastic behavior of functionally graded thick truncated cone. The cone has finite length, and it is subjected to axisymmetric hydrostatic internal pressure. The inner surface of the cone is pure ceramic and the outer surface is pure metal, and the material composition varying continuously along its thickness. Using this method, the effects of semi-vertex angle of the cone and the power law exponent on distribution of different types of displacements and stresses are considered.

Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures

“…Bhangale et al [43] developed a finite element formulation based on the FSDT to study the thermal buckling and vibration behavior of truncated conical shells in a high-temperature environment. Asemi et al [44] studied the elastic behavior of functionally graded thick truncated cone under hydrostatic internal pressure using finite element method based on Rayleigh-Ritz energy formulation. Sofiyev [45] examined the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load.…”

A Semi-Analytical Solution of Thick Truncated Cones Using Matched Asymptotic Method and Disk Form Multilayers

“…(4) The results obtained for stresses and displacements are compared with the analytical solutions [14] and the solutions carried out through the FEM. Good agreement was found among the results.…”

“…Using the tensor analysis, Nejad et al [13] obtained a complete and consistent 3-D set of field equations to characterize the behavior of functionally graded material (FGM) thick shells of revolution with arbitrary curvature and variable thickness. The finite element method based on the Rayliegh-Ritz energy formulation is applied to obtain the elastic behavior of the functionally graded thick truncated cone [14]. Deformations and stresses inside multilayered thick-walled spheres are investigated by Borisov [15].…”

Elastic Analysis of Rotating Thick Truncated Conical Shells Subjected to Uniform Pressure Using Disk Form Multilayers

“…Using thirdorder shear deformation theory, an analytical solution presented for stresses and displacements in a thick conical shell with varying thickness under nonuniform internal pressure [16]. The finite element method based on the Rayleigh-Ritz energy formulation is applied to obtain the elastic behavior of the functionally graded thick truncated cone [17]. Making use of FSDT and the virtual work principle, Ghannad and Zamani Nejad [18] generally derived the governing differential equations of the homogenous and isotropic axisymmetric thick-walled cylinders with same boundary conditions at the two ends.…”