CREEP TRANSITION STRESSES OF A THICK ISOTROPIC SPHERICAL SHELL BY FINITESIMAL DEFORMATION UNDER STEADY STATE OF TEMPERATURE AND INTERNAL PRESSURE

Abstract

Creep stresses for a thick isotropic spherical shell by finitesimal deformation under steady state temperature and internal pressure have been derived by using Seth's transition theory. Results are depicted graphically. It is seen that shell made of incompressible material require higher pressure to yield as compared to shell made of compressible material. For no thermal effects, the result are same as given by Gupta, Bhardwaj,Rana and Hulsurkar [1,3] and Bhardwaj, Bailey [2,4].

Keywords

Dates

  • Submission Date2010-10-04
  • Revision Date2010-11-22
  • Acceptance Date2010-11-25

DOI Reference

10.2298/TSCI101004083P

References

  1. Hulsurkar,S., Transition theory of shells under uniform pressure, ZAMM, 46, 1966, pp. 431-437.
  2. Bailey, R.W., Creep relationships and their application to pipes, tubes and cylinder parts under internal pressure, Proc. Inst. Mech. Engnrs.,131, 1951, pp. 1-131.
  3. Gupta, S.K., Bhardwajan P.C. and V.D. Rana, Creep Transition in a thick walled isotropic spherical shell under internal pressure. Indian J. Pure Appl. Math., Vol. 19, No. 12, 1988, pp. 1239-1248.
  4. Bhardwaj P.C. Problems in Elastic-plastic and creep stresses in isotropic and transversely isotropic materials, Ph.D. Thesis, Department of Mathematics, H.P. University, Shimla, 1990, pp. 70-86.
  5. Derrington, M.G., The onset of yield in a thick - spherical shell subject to internal or external pressure and steady state heat flow, Int. J. Mech. Sci., 4(1962), pp. 83-103.
  6. Pankaj, Bansal, S.R., Creep transition in a thin rotating disc having variable density with inclusion, International Journal of Mathematical, Physical and Engineering Sci., 2(2008), pp. 140-149,
  7. Pankaj, Bansal, S.R., Elastic-plastic transition in a thin rotating disc with inclusion, International Journal of Mathematical, Physical and Engineering Sci., 2(2008), pp. 150-154.
  8. Gupta, S.K., Rana V.D., Elastic-plastic in transversely isotropic cylinder under internal pressure, Proc. Nat. Acad. Sci., Indian, 52(A)(1982), pp. 297-304
  9. Gupta, S.K., R.L. Dharmani, Creep transition in thick-walled cylinder under internal pressure, ZAMM, 59, 1979, pp. 517-521.
  10. Gupta, S.K., Rana V.D., Elastic-plastic in rotating cylinder, Indian J. Tech., 21(1983) 499-502.
  11. Gupta, S.K., Bhardwaj, P.C., Elastic-plastic and creep transition of an orthotropic cylinder under internal pressure, Proc. Nat. Acad. Sci., India, 52(A)(1986), pp.1261-1269.
  12. Gupta, S.K., Bhardwaj, P.C., Elastic-plastic transition of an orthotropic rotating cylinder, Proc. Nat. Acad. Sci., India, 52(A)(1986), pp. 1357-1360.
  13. Gupta, S.K., Rana V.D., Thermo- elastic-plastic and creep transition in rotating cylinder. J. Math. Phy. Sci., 23(3)(1989), pp. 243-250.
  14. Gupta S. K., Pankaj, Creep Transition in a thin rotating disc with rigid inclusion, Defence Sci. Journal, 57(2)(2007), pp. 185-195.
  15. Gupta S. K., Pankaj, Thermo elastic-plastic Transition in a thin rotating disc with inclusion, Thermal Science, 11(1)(2007), pp. 103 - 118.
  16. Gupta S. K., Rana, V. D. Elastic- elastic-plastic and Creep transition of transversely isotropic cylinder under internal pressure, Journal of Mathematical and Physica1982, 16(5), pp. 499-505.
  17. Nadai, A., Theory of flow and fractures of Solids 2nd edition, Mc-Graw-Hill, Book Company, Inc. New York, 1950.
  18. Parkus, H., Thermo-elasticity, New York Springer-Verlag, 1976, pp. 119.
  19. Seth. B.R., Measure concept in Mechanics, Int. Journal of Non-linear Mech., I(966), pp.35-40
  20. Seth. B.R., Creep Transition, J. Math. Phys. Sci., vol. 8, pp. 1-2, 1972.
  21. Seth, B.R., Generalized strain and transition concepts for elastic-plastic deformation, creep and relaxation, Proc. XIth. Int. Congr. App. Mech. Munica., 1966, pp. 389-391.
  22. Fung, Y.C., Foundation of solids Mech., Prentice Hall, Englewood Cliff, N. J. 1965, pp. 23-29.
  23. Johnson, W. and Mellor P.B., Plasticity for Mechanical Engineers. Von-Nostrand Reinfield Company, London,1971, pp. 140-149
Volume 15, Issue 12, Pages157 -165