Large deformation elastic analysis of pressurized FGM cylindrical shells with Nonlinear Plane Elasticity Theory (NPET)

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Document Type : Research Article

Authors

Department of Solid Mechanics, Faculty of Mechanical Engineering, Shahrood University of Technology, Semnan, Iran

Abstract

In the present study, governing equation of pressurized axisymmetric cylinders made of heterogeneous and isotropic materials with large deformations is derived using the Nonlinear Plane Elasticity Theory (NPET). Because of large deformations along the radial direction and hence the existence of nonlinear terms in kinematic equations, the governing equation is a nonlinear second-order equation with variable coefficients, which is solved in plane stress and plane strain states using the perturbation technique. According to the equilibrium equation, boundary conditions and different end conditions of the cylinder: open ends and closed end; radial, axial and circumferential stresses and radial displacement in cylindrical shells are analytically calculated. For investigating the accuracy of the results obtained from the analytical solution, the numerical finite element modeling of a mentioned cylinder with ABAQUS software based on the nonlinear elasticity theory is done and the results of the two methods are compared. This research reveals that the obtained results by the mentioned analytical solution procedure have good accuracy for cylindrical shells under pressure load.

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Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 21 July 2024

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