Thermal Buckling of Axially Functionally Graded Thin Cylindrical Shell

Abstract

In the present research, thermal buckling of shell made of functionally graded material (FGM) under thermal loads is investigated. The material properties of functionally graded materials (FGMs) are assumed to be graded in the axial direction according to a simple power law distribution in terms of the volume fractions of the constituents. In the previous articles that published, these properties are assumed to be graded in the thickness direction. Nonlinear kinematic (strain-displacement) relations are considered based on the first order shear deformation shell theory. By substituting kinematic and stress-strain relations of functionally graded shell in the total potential energy equation and employing Euler equations, the equilibrium equations are obtained. Applying Euler equations to the second variation of total potential energy equation leads to the stability equations. Then, buckling analysis of functionally graded shell under three types of thermal loads is carried out resulting into closed-form solutions.

Dynamics and stability of a cylindrical shell subjected to annular flow including temperature effects

“…(30) with the following parameters [25]. The results calculated are listed in Table 3, where they are compared with those in the literature [25]. As can be seen, good agreement is obtained in the comparisons.…”

“…(33), the critical temperature rise instability of the empty out shell with simply supported boundary condition is obtained by solving Eq. (30) with the following parameters [25]. The results calculated are listed in Table 3, where they are compared with those in the literature [25].…”

Hygrothermal effects on the nonlinear buckling of functionally graded multilayer GPL‐Fiber reinforced hybrid composite cylindrical shells

“…As expected, excellent agreements are observed again. The maximum error between the computed results and reference data [52–54] is only 2.40%. Then, a comparison of a homogeneous cylindrical shell with uniform/non‐uniform pre‐buckling effects are presented in Table 3.…”

Nonlinear Response of Imperfect Eccentrically Stiffened Ceramic-Metal-Ceramic Sigmoid Functionally Graded Material (S-FGM) Thin Circular Cylindrical Shells Surrounded on Elastic Foundations Under Uniform Radial Load

“…Li and Batra [11] investigated buckling of axially compressed thin cylindrical shell with FGM middle layer. Hessameddin Yaghoobi [12] have researched thermal buckling of shell made of functionally graded material (FGM) under thermal loads is investigated. Shen [13] studied the postbuckling response of a shear deformable functionally graded cylindrical shell of finite length embedded in a large outer elastic medium and subjected to axial compressive loads in thermal environments, this author also researched on the thermal postbuckling response of a shear deformable functionally graded cylindrical shell of finite length embedded in a large outer elastic medium [14].…”