THERMO ELASTIC-PLASTIC TRANSITION IN A THIN ROTATING DISC WITH INCLUSION

Abstract

Stresses for the elastic-plastic transition and fully plastic state have been derived for a thin rotating disc with shaft at different temperatures and results have been discussed and depicted graphically. It has been observed that the rotating disc with inclusion and made of compressible material requires lesser angular speed to yield at the internal surface and higher percentage increase in angular speed to become fully plastic as compare to disc made of incompressible material. With the introduction of thermal effect the rotating disc with inclusion required lesser angular speed to yield at the internal surface. Rotating disc made of compressible material with inclusion requires higher percentage increase in angular speed to become fully-plastic as compare to disc made of incompressible material. Thermal effect also increases the values of radial and circumferential stresses at the internal surface for fully-plastic state.

Keywords

Dates

  • Submission Date2006-04-14
  • Revision Date2006-12-12
  • Acceptance Date2006-12-20

DOI Reference

10.2298/TSCI0701103G

References

  1. Timoshenko, S. P. & Goodier, J. N. Theory of Elasticity, McGraw - Hill, New York,(1951)
  2. Chakrabarty, J. Theory of Plasticity, McGraw-Hill, New York,(1987).
  3. Heyman, J. Plastic Design of Rotating Discs Proc. Inst. Mech. Engrs., 172 (1958):531- 546.
  4. Gupta, S.K. & Shukla, R.K. Elastic - Plastic Transition in a Thin Rotating disc, Ganita, 45 (1994):78-85.
  5. Seth, B. R. Transition Theory of Elastic - Plastic Deformation, Creep and Relaxation, Nature, 195 (1962):896-897.
  6. Seth, B. R. Measure Concept in Mechanics, Int. J. Non-linear Mech. ,I(2) (1966):35-40.
  7. Seth, B.R. Creep Transition. J. Math. Phys. Sci. 8(1972).
  8. Seth, B.R. Elastic-plastic transition in shells and tubes under pressure. ZAMM 43 (1963):345.
  9. S. Hulsurkar, Transition theory of creep shell under uniform pressure, ZAMM 46 (1966):431-437
  10. Gupta, S. K. ,Dharmani, R.L and Rana V.D. "Creep Transition in torsion, Int. J. Non-linear Mechanics 13(1979):303-309.
  11. Gupta, S. K. and Dharmani, R. L Creep Transition in Bending of Rectangular Plates , Int. J. nonlinear Mech.,15 (1980):147-154.
  12. Gupta, S.K. and Dharmani, R.L Creep Transition in thick walled cylinder under internal pressure, ZAMM 59 (1979):517:521.
  13. Gupta , S.K. and Rana, V.D. Thermo Elastic-plastic and Creep Transition in Rotating Cylinders, J. Math. Phys. Sci.,23 (1989):71-90.
  14. Gupta, S.K. and Sharma, Sanjeev Proc. Third international Congress on Thermal Stresses, Cracow, Poland, June 13-17(1999):345-348.
  15. Gupta, S.K. and Pankaj, Elastic-Plastic Transition in a thin rotating Disc with Inclusion send to the Indian Journal of Pure and Appl. Mathematics(Nov.-2005) (under publication).
  16. Gupta S.K. Thermo Elastic-plastic Transition of Thick-walled Rotating Cylinder, Proc. 1st Int. Symp. on Thermal Stresses and Related Topics, June 5-7 (1995), Japan.
  17. Parkus, H. Thermo-Elasticity, Springer-Verlag Wien, New York (1976) .
  18. Levitsky, M. & Shaffer B. W. (1975) Residual Thermal Stresses in a Solid Sphere form a Thermosetting Material, Jr. of Appl. Mech., Trans. of ASME, 42(3):651-655
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