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Second order shear deformation theory for functionally graded axisymmetric thick shell with variable thickness under non-uniform pressure
Abstract This paper studies Second order Shear Deformation Theory (SSDT), as a higher order shear deformation theory, for an axisymmetric functionally graded shell of revolution with variable thickness. According to symmetrical condition, there is not any displacement and any variation along the symmetric direction. The governing equations of proposed shell are derived by virtual work principle. As a special case, the governing equations are rewritten for a cylinder with variable thickness and non-uniform internal pressure. The comparison between current work, classical theory and First order Shear Deformation Theory (FSDT) are illustrated with some numerical results. Non-homogenous material, boundary condition effects, non-uniform pressure, arbitrary curvature with variable thickness and nonlinear displacement field are some advantages of current work. The optimum design of shell is the main goal of current approach that has a wide industrial application like aerospace engineering.
Highlights Modeling of a non-homogenous thick shell with arbitrary curvature and non-uniform thickness. Considering non-uniform loading and using higher order shear deformation theory for thickness direction variation. Considering non-homogenous properties and the effect of non-homogeneity on mechanical behavior of shell. Offering an exact solution for a shell with simple curvature and showing the capability of non-uniform loading.
Second order shear deformation theory for functionally graded axisymmetric thick shell with variable thickness under non-uniform pressure
Abstract This paper studies Second order Shear Deformation Theory (SSDT), as a higher order shear deformation theory, for an axisymmetric functionally graded shell of revolution with variable thickness. According to symmetrical condition, there is not any displacement and any variation along the symmetric direction. The governing equations of proposed shell are derived by virtual work principle. As a special case, the governing equations are rewritten for a cylinder with variable thickness and non-uniform internal pressure. The comparison between current work, classical theory and First order Shear Deformation Theory (FSDT) are illustrated with some numerical results. Non-homogenous material, boundary condition effects, non-uniform pressure, arbitrary curvature with variable thickness and nonlinear displacement field are some advantages of current work. The optimum design of shell is the main goal of current approach that has a wide industrial application like aerospace engineering.
Highlights Modeling of a non-homogenous thick shell with arbitrary curvature and non-uniform thickness. Considering non-uniform loading and using higher order shear deformation theory for thickness direction variation. Considering non-homogenous properties and the effect of non-homogeneity on mechanical behavior of shell. Offering an exact solution for a shell with simple curvature and showing the capability of non-uniform loading.
Second order shear deformation theory for functionally graded axisymmetric thick shell with variable thickness under non-uniform pressure
Khoshgoftar, M.J. (Autor:in)
Thin-Walled Structures ; 144
03.07.2019
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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