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Elasto-Plastic Analysis of Thick Cylinders Subjected to Internal Electro-Magnetic Loading

Published online by Cambridge University Press:  09 August 2012

H. Rajabi and
A. Darvizeh
H. Rajabi*
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
A. Darvizeh
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
*
*Corresponding author (harajabi@hotmail.com)

Abstract

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A study of elasto-plastic deformation of circular cylindrical shells subjected to internal electromagnetic forces is presented in this paper. The five governing equations in terms of resultant forces and resultant moments with respect to basic displacement vector components u, v and w are used. Theoretical formulations, based on the first-order shear deformation theory (FSDT), take into consideration transverse shear deformation and rotary inertia. The deformation theory of plasticity is employed for constitutive equations. The cylinders are composed of an elastic-plastic material with the von Mises yield criteria and non-linear plastic behaviour. Galerkin method is employed to convert the partial differential equations (PDEs) to ordinary differential equations (ODEs). The Newmark family of methods is used to numerically time integration of system of coupled second order ODEs. In order to prove the validity of the presented method and the solving process, the results obtained with the present analysis are compared with a set of available data. Good agreement observed between the results of the two approaches. Certainly, the aim of this paper is to create a more reliable and precise mathematical model of hollow-cylinders to avoid performing several experiments.

Keywords

Elasto-plastic deformationCircular cylinderGalerkin methodDeformation theory of plasticityDynamic force

Information

Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 3 , September 2012, pp. 423 - 430
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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