ELASTIC - PLASTIC TRANSITION STRESSES IN ROTATING CYLINDER BY FINITE DEFORMATION UNDER STEADY- STATE TEMPERATURE

Abstract

The problem of elastic-plastic transition stresses of thick walled rotating cylinder by finitesimal deformation under steady state temperature has been solved by using the concept of generalised strain measure. It has been 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 result for the combined effect of rotation and temperature are calculated for fully plastic and depicted graphically.

Dates

  • Submission Date2009-07-15
  • Revision Date2010-01-07
  • Acceptance Date2010-01-11

DOI Reference

10.2298/TSCI1102537P

References

  1. Davis, E.A., Conelly, F.M., Stress Distribution and plastic Deformation in cylinder of strain hardening material, Journal of Applied Mechanics, 26(1959), pp. 25-30.
  2. Crimott, F.P.J., On the plastic behaviour of rotating cylinders Journal of Applied Mechanics, 27(1960), pp. 309-315.
  3. Seth, B.R., Transition condition, the yield condition, Int. J. of Non linear Mechanics, 15(1970), pp. 279-282.
  4. Seth, B.R., Measure concept in Mechanics, Int. J. Non-linear Mech., I(2) (1966), pp. 35 - 40.
  5. Pankaj Thakur, Elastic - plastic transition stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady state temperature, Thermal Science, published in Vol. 13, No. 4, 2009 , pp. 107-118.
  6. Pankaj, Sonia R.B., (2008). Elastic-Plastic Transition in a Thin Rotating Disc with Inclusion, Int. J. Mathematical, Physical and Engineering Sci. 2(2008), pp.150 -154.
  7. Pankaj, Sonia R.B., Creep Transition in a Thin Rotating Disc having variable density with Inclusion, Intl. J. Math. Phys. Eng. Sci. 2(2008), pp.140 -149.
  8. Pankaj, Gupta S.K.,Thermo Elastic-plastic transition in a thin rotating Disc with inclusion, Thermal Science,11(2007),pp. 103-118.
  9. Pankaj, Gupta S.K., Creep Transition in a thin rotating Disc with rigid Inclusion Defence. Sci. J. 57(2007), pp. 185-195.
  10. Pankaj, Gupta S.K., (2008). Creep Transition in an isotropic disc having variable thickness subjected to internal pressure, Proceeding National Academy of Science, India, Section- A 78(I)(2008), pp. 57-66.
  11. Pankaj (2008). Thermo Creep Transition in a Thin Rotating Disc with Inclusion, Published abstract in National Conference on Mechanism Science and Technologies: from Theory to Applications in Mechanical Engineering Department-NCMSTA'08 w.e.f. Nov.13-14(2008), p. 10-11.
  12. Pankaj, Elastic-plastic transition stresses in an isotropic disc having variable thickness subjected to internal pressure, International Journal of Physical Science, 4(2009), pp. 336-342.
  13. Gupta, S.K., Elastic-plastic and creep transition in rotating cylinders, Proceeding of the workshop on solid mechanics, University of Roorkee, Roorkee,India, March 13th to 16th (1985).
  14. Parkus, H. Thermo-Elasticity, Springer-Verlag Wien, New York, USA,1976.
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