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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)
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Abstract

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
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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References

REFERENCES

1. Yasar, M., Demirci, H. I. and Kadib, I., “Detonation Forming of Aluminium Cylindrical Cups Experimental and Theoretical Modeling,” Materials & Design, 27, pp. 397–404 (2006).CrossRefGoogle Scholar
2. Tamhane, A. A., Padmanabhan, M., Fenton, G., Altynova, M. and Daehn, G. S., “Opportunities in High-Velocity Forming of Sheet Metal,” Metalforming Magazine, January (1997).Google Scholar
3. Boulger, F. W. and Wagner, H. J., “High Velocity Metal Working Processes Based on the Sudden Release of Electrical Energy,” Defense Metals Information Center, Battelle Memorial Institute (1960).Google Scholar
4. Birdsall, D. H., Ford, F. C., Furth, H. P. and Riley, R. E., “Magnetic Forming,” American Machinist / Metalworking Manufacturing, 105, pp. 117–121 (1961).Google Scholar
5. Kegg, R. L. and Haverbeck, K., “Effect of Process Variables in Electric Discharge Forming,” Annals of the CIRP, 11, pp. 131–137 (1962).Google Scholar
6. Baines, K., Duncan, J. L. and Johnson, W., “Electromagnetic Metal Forming,” Proceedings of the Institution of Mechanical Engineers, 180, pp. 348–362 (1965).CrossRefGoogle Scholar
7. Darvizeh, A., Electro-Magnetic Metal Forming. The University of Guilan Press (1991).Google Scholar
8. Darvizeh, A., “High Energy Rate Forming of Thin-Walled Tubes by Electro-Magnetic Forces,” Iranian Journal of Mechanical Engineering. Transaction of the ISME, 2, pp. 1–13 (1994).Google Scholar
9. Murakoshi, Y., Takahashi, M., Sano, T., Hanada, K. and Negishi, H., “Inside Bead Forming of Aluminum Tube by Electro-Magnetic Forming,” Journal of Material Processing Technology, 80–81, pp. 695–699 (1998).CrossRefGoogle Scholar
10. Fenton, G. and Daehn, G. S., “Modeling of Electromagnetically Formed Sheet Metal,” Journal of Materials Processing Technology, 75, pp. 6–16 (1998).CrossRefGoogle Scholar
11. Oliveira, D. A., Worswick, M. J., Finn, M. and Newman, D., “Electromagnetic Forming of Aluminum Alloy Sheet: Free-Form and Cavity Fill Experiments and Model,” Journal of Material Processing Technology, 170, pp. 350–362 (2005).CrossRefGoogle Scholar
12. Yu, H. P., Li, Z. and Lee, C. F., “Numerical Simulation of Coupled Fields of Electromagnetic Forming for Tube Compression Based on FEM,” Chinese Journal of Mechanical Engineering, 42, pp. 231–234 (2006).CrossRefGoogle Scholar
13. Yu, H. P. and Lee, C. F., “Effects of Coil Length on Tube Compression in Electromagnetic Forming,” The Transactions of Nonferrous Metals Society of China, 17, pp. 1270–1275 (2007).CrossRefGoogle Scholar
14. Rott, M., Seidel, U., Streibl, B., Suttrop, W., Vierle, T. and The ASDEX Upgrade Team, “Electro Magnetic Modeling of the Planned Active In-Vessel Coils at ASDEX Upgrade,” Fusion Engineering Design, 84, pp. 1653–1657 (2009).CrossRefGoogle Scholar
15. Mao, R. and Lu, G., “A Study of Elastic-Plastic Buckling of Cylindrical Shells Under Torsion,” Thin-Walled Structures, 40, pp. 1051–1071 (2002).CrossRefGoogle Scholar
16. Farshad, M., Design and Analysis of Shell Structures, Kluwer Academic Publishers (1992).CrossRefGoogle Scholar
17. Darvizeh, A. and Darvizeh, M., Stress Analysis in Thick Spherical and Cylindrical Shells, The University of Guilan Press (1993).Google Scholar
18. Jonnalaggada, K. D., Blandford, G. E. and Tauchert, T. R., “Piezothermoelastic Composite Plate Analysis Using First-Order Shear Deformation Theory,” Computers and Structures, 51, pp. 79–89 (1994).CrossRefGoogle Scholar
19. Al-Hassani, S. T. S., Duncan, J. L. and Johnson, W., “The Influence of Electrical and Geometrical Parameters in Magnetic Forming,” Proceedings of the 8th International MTDR Conference, pp. 1333–1347 (1967).Google Scholar
20. James, T. E. and Philpott, J., “High Frequency Systems for Magnetic Forming of Resistive Materials,” Proceedings of the I.E.E Conference, pp. 37–44 (1970).Google Scholar
21. Li, C. F., Yu, H. P. and Zhao, Z. H., “Effect of Tube Size on Electromagnetic Tube Bulging,” The Transactions of Nonferrous Metals Society of China, 17, pp. 705–710 (2007).CrossRefGoogle Scholar