Third-order shear deformation theory for stress analysis of a thick conical shell under pressure

Eipakchi, Hamid Reza

doi:10.2140/jomms.2010.5.1

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Third-order shear deformation theory for stress analysis of a thick conical shell under pressure

Hamid Reza Eipakchi

Vol. 5 (2010), No. 1, 1–17

DOI: 10.2140/jomms.2010.5.1

Abstract

The stresses and displacements of a thick conical shell with varying thickness under nonuniform internal pressure have been calculated analytically using third-order shear deformation theory. The governing equations, which are a system of differential equations with variable coefficients, have been solved analytically with the matched asymptotic expansion of the perturbation theory. The effects of higher-order approximations on the radial and axial displacements, von Mises stress, and shear stress have been studied. The results have been compared with the finite elements analysis.

Keywords

shear deformation, stress analysis, finite elements, perturbation, thick shell, varying thickness

Milestones

Received: 21 November 2008

Revised: 3 June 2009

Accepted: 3 August 2009

Published: 19 April 2010

Authors

Hamid Reza Eipakchi
Mechanical Engineering Faculty Shahrood University of Technology P.O. Box 316 Shahrood Iran

Vol. 5, No. 1, 2010

Hamid Reza Eipakchi

Abstract

Keywords

Milestones

Authors