Thermo Elasto-Plastic Analysis of Rotating Axisymmetrical Bodies Using Modified Von-Mises Yield Criterion


  • Imad A. Hussain College of Engineering/ University of Al-Nahreen
  • Hameed D. Lafta College of Engineering/ University of Kufa
  • Rafa'a D. Hussain كلية الهندسة/ جامعة المثنى


In the present work, the behavior of thick-walled cylinder of elasto-plastic material (polymeric material) has been studied analytically. The study is based on modified Von-Mises yield criterion (for non metallic material). The equations of stress distribution are obtained for the cylinder under general cases of elastic expansion, plastic initiation and elastic-plastic expansion.

        A computer program is developed for evaluating the stress distribution. The solution is carried out for worst boundary conditions when the cylinder is subjected to the combination of pressure load, inertia load, and temperature gradient.

        The results are presented graphically in terms of dimensionless stresses and radius ratio. They indicate that the thermal and rotational loads are greatly influencing the stress distribution and the initiation of plastic zone, as well as the spreading out of the plastic zone. Moreover, it was found that the critical values of loads required for starting plastic deformation are determined by the amount of the applied load and the type of loading conditions, and it is found that the variation of  stresses are greatly influenced by increasing of the temperature gradient at constant pressure and inertial loads than other increases in  loading conditions.


Download data is not yet available.


[1] Bland, D. R., "Elasto-plastic Thick-Walled Tubes of Work-Hardening Material Subject to Internal and External Pressure and to Temperature Gradients", J. Mech. Phys. Solids, Vol. 4, PP. 209-229, 1956.
[2] Derrington, M. G., "The Onset of Yield in a Thick Cylinder Subjected to Uniform Internal or External Pressure and Steady Heat Flow", Int. J. Mech. Sci., Vol. 4, PP. 83-103, 1962.
[3] Mahdavian, S. M., "Yielding Condition of a Closed End, Pressurized, Thick-Walled Cylinder Subjected to a Torsional Moment and Temperature Gradients", Int. J. Pres. Ves. & Piping, Vol. 9, No. 5, PP. 339-353, 1981.
[4] Johnson, W. and Mellor, P. B., "Engineering Plasticity", Van Nostrand Reinhold Company London, 1980.
[5] Chakrabarty, J., "Theory of Plasticity", McGraw-Hill Book Company, 1987.
[6] Hearn, E. J., "Mechanics of Materials", 2nd edition, Vol. 2 , 1985.
[7] Hassan, A., Imad, A. H. and Mohammed, A. N., "Thermo elasto-Plastic Analysis of Solid Propellant Rocket Grain with Internally Burning", The College of Engineering of Kufa University, 2000.
[8] Arnold, S. M., Saleep, A. F. and Al-Zoubi, N. R., "Deformation and Life Analysis of Composite Flywheel Disk and Multi-Disk systems", Naca TM-2001-210578.
[9] Daived, R “Yield and Plastic Flow” Massachusetts Institute of Technology, Cambridge, MA02139, Vol. 15, 2001
[10] Meijeren, H. E. “Deformation and Failure of Polymer Glasses” Harold Geert Hendrik van Melick, 2002
[11] Michael, F. A. and David R. J., "Engineering Materials", International Series on Materials science and technology, Vol.34, 1982.




How to Cite

Hussain, I. A., Lafta, H. D., & Hussain, R. D. (2019). Thermo Elasto-Plastic Analysis of Rotating Axisymmetrical Bodies Using Modified Von-Mises Yield Criterion. Al-Khwarizmi Engineering Journal, 4(4), 71–81. Retrieved from

Most read articles by the same author(s)