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Comparison of plane-stress, generalized-plane-strain and 3D FEM elastic–plastic analyses of thick-walled cylinders subjected to radial thermal gradient

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journal contribution
posted on 12.09.2017, 08:57 by S.M. Kamal, Uday S. Dixit, Anish Roy, Qian Liu, Vadim Silberschmidt
In many industrial applications, thick-walled cylindrical components are subjected to high pressure and/or temperature. During the operation the cylinder wall may undergo elastic–plastic deformation. This paper presents plane-stress and plane-strain thermo-elastic–plastic stress analyses of thick-walled cylinders subjected to a radial thermal gradient. A three-dimensional finite element method (3D FEM) analysis of the thermo-elastic–plastic stresses in thick-walled cylinder is also carried out. The 3D FEM results are compared with the analytical plane stress and the generalized plane strain analyses in order to study the validity of these models on the basis of length to wall-thickness ratio of cylinders. The plane stress and generalized plane strain analyses are based on the Tresca yield criterion and associated flow rule. The strain hardening behavior of the material of the cylinder is taken into account. It is observed that for the length to wall thickness ratio of more than 6, the generalized plane strain analysis can provide sufficiently accurate results. Similarly, for the length to wall thickness ratio of less than 0.5, plane stress analysis can be used. When the length to wall thickness ratio is more than 0.5 but less than 6, a three-dimensional analysis is needed.

Funding

This research was supported by funding from the Engineering and Physical Sciences Research Council (UK) through grant EP/K028316/1 and Department of Science and Technology (India) through grant DST/RC-UK/14-AM/2012, project Modeling of Advanced Materials for Simulation of Transformative Manufacturing Processes (MAST).

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

International Journal of Mechanical Sciences

Volume

131-132

Pages

744 - 752

Citation

KAMAL, S.M. ...et al., 2017. Comparison of plane-stress, generalized-plane-strain and 3D FEM elastic–plastic analyses of thick-walled cylinders subjected to radial thermal gradient. International Journal of Mechanical Sciences, 131-132, pp. 744-752.

Publisher

© 2017 The Authors. Published by Elsevier Ltd.

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

20/07/2017

Publication date

2017

Notes

This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/)

ISSN

0020-7403

Language

en

Licence

Exports