STEADY THERMAL STRESS AND STRAIN RATES IN A ROTATING CIRCULAR CYLINDER UNDER STEADY STATE TEMPERATURE

Abstract

Thermal stress and strain rates in a thick walled rotating cylinder under steady state temperature has been derived by using Seth's transition theory. For elastic-plastic stage, it is seen that with the increase of temperature, the cylinder having smaller radii ratios requires lesser angular velocity to become fully plastic as compared to cylinder having higher radii ratios The circumferential stress becomes larger and larger with the increase in temperature. With increase in thickness ratio stresses must be decrease. For the creep stage, it is seen that circumferential stresses for incompressible materials maximum at the internal surface as compared to compressible material, which increase with the increase in temperature and measure n.

Keywords

Dates

  • Submission Date2011-03-18
  • Revision Date2012-05-07
  • Acceptance Date2012-05-12

DOI Reference

10.2298/TSCI110318079P

References

  1. Nadai, A., Theory of flow and fracture, McGraw-Hill Book Company, New York, USA, 1960, pp. 60-61.
  2. Devis, E.A., Connelly, F.M., Stress distribution and plastic deformation in rotating cylinders of strain-hardening material, Jr. Appl. Mech., 26, 1959, pp. 25-30.
  3. Rimrott, F.P.J., On the plastic behaviour of rotating cylinder, Jr. Appl. Mech., 27(1960), pp. 309-315.
  4. Nadai, A., Theory of flow and fracture, McGraw-Hill Book Company, New York, USA, 1960, pp. 60-61.
  5. Devis, E.A., Connelly, F.M., Stress distribution and plastic deformation in rotating cylinders of strain-hardening material, Jr. Appl. Mech., 26, 1959, pp. 25-30.
  6. Rimrott, F.P.J., On the plastic behaviour of rotating cylinder, Jr. Appl. Mech., 27(1960), pp. 309-315.
  7. P.G. Hodge Jr. and Balaban M., elastic-plastic problem in a rotating cylinder, Int. J. Mech. Sci., Pergamon Press Ltd., 4(1962), pp. 465-476.
  8. Rimrott, F.P.J., Luke, J.R., Large strain creep of rotating cylinders, ZAMM, 41(1961), pp. 485-500.
  9. Dev. D., note on the Creep of a cylinder rotating about its axis, Indian, Jr., Math. Mech., 3, 1965, pp. 104-107.
  10. Seth,B. R., Measure concept in Mechanics, Int. J. Non-linear Mech., 1(1966), 1, pp. 35- 40.
  11. Seth, B. R., Transition condition, the yield condition, Int. J. Non. Linear Mechanics, 15, 1970, pp. 279-285.
  12. Parkus, H., Thermo-elasticity, Springer-Verlag,Wien New York, 1976, pp. 119.
  13. Fung, Y.C., Foundation of solids Mech., Prentice Hall, Englewood Cliff, N. J. 1965, pp. 23-29.
  14. Gupta , S.K., Elastic-plastic and Creep Transition of thick-walled cylinder Proceedings of International Symposium on Non- linear Mech. Kharagpur, India, 1980, pp.169-175.
  15. Gupta, S.K., Dharmani, R. L., Creep Transition in Rotating Cylinders, Int. J. Pure Applied Math., 15 (1981), 6, pp. 525-536.
  16. Hulsurkar, S., Transition theory of creep in shells under uniform pressure, ZAMM, 46, 1966, pp. 431-437.
  17. Johnson, W. and Mellor P.B., Plasticity for Mechanical Engineers. Von-Nostrand Reinfield Company, London,1971, pp. 140-149
  18. Pankaj, S. K. Gupta, Thermo Elastic-plastic transition in a thin rotating Disc with inclusion, Thermal Science, 11(2007), 1, pp. 103-118.
  19. Pankaj Thakur, Elastic - Plastic Transition Stresses In Rotating Cylinder By Finite Deformation Under Steady- State Temperature, Thermal Science International Scientific Journal, 15(2011), 2, pp. 537-543.
  20. Pankaj Thakur, Elastic-plastic transition stresses in a thin rotating disc with rigid inclusion by infinitesimal deformation under steady state Temperature, Thermal Science International Scientific Journal, 14(2010),1, pp. 209-219.
  21. Pankaj Thakur, Creep Transition Stresses in a thin rotating disc with shaft by finite deformation under steady state temperature, Thermal Science International Scientific Journal, 14(2010), 2, pp. 425-436.
  22. Pankaj Thakur, Creep Transition stresses of a Thick isotropic spherical shell by finitesimal deformation under steady state of temperature and internal pressure, Thermal Science International Scientific Journal, Belgrade, Serbia and Montenegro, 15(2011), Suppl. 2, pp. S157-S165.
Volume 18, Issue 11, Pages93 -106