ELASTIC-PLASTIC TRANSITION STRESSES IN A TRANSVERSELY ISOTROPIC THICK-WALLED CYLINDER SUBJECTED TO INTERNAL PRESSURE AND STEADY-STATE TEMPERATURE

Abstract

Elastic-plastic transitional stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature have been derived by using Seth's transition theory. The combined effects of pressure and temperature has been presented graphically and discussed. It has been observed that at room temperature, thick-walled cylinder made of isotropic material yields at a high pressure at the internal surface as compared to cylinder made of transversely isotropic material. With the introduction of thermal effects isotropic/transversely isotropic cylinder yields at a lower pressure whereas cylinder made of isotropic material requires less percentage increase in pressure to become fully-plastic from its initial yielding as compared to cylinder made of transversely isotropic material.

Keywords

Dates

  • Submission Date2007-08-16
  • Revision Date2009-01-24
  • Acceptance Date2009-01-29

DOI Reference

10.2298/TSCI0904000P

References

  1. Bailey, R.W., Creep Relationships and their Application to Pipes, Tubes and Cylinder Parts under Internal Pressure, Proc. Inst. Mech. Engnrs., 164 (1951), 1, pp. 425-421
  2. King, R. H., Mackie, W. W., Creep of Thick-Walled Cylinders, J. Basic Engnrs.,87 (1969), 2, pp. 877-879
  3. 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), 2, pp. 83-103
  4. Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, 1927, pp. 161-163
  5. 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), 3, pp. 140-149
  6. Pankaj, Bansal, S. R., Elastic-Plastic Transition in a Thin Rotating Disc with Inclusion, International Journal of Mathematical, Physical and Engineering Sci., 2 (2008), 3, pp. 150-154
  7. Gupta, S. K.,Pankaj, Creep Transition in an Isotropic Disc Having Variable Thickness Subjected to Internal Pressure, Proc. Nat. Acad. Sci., India, 78 (2008), I, pp. 57-66
  8. Gupta, S. K., Rana, V. D., Elastic-Plastic in Transversely Isotropic Cylinder under Internal Pressure, Proc. Nat. Acad. Sci., Indian, 52, Section A (1982), pp. 297-304
  9. Gupta, S. K., Rana V. D., Elastic-Plastic in Rotating Cylinder, Indian J. Tech., 21 (1983), 2, pp. 499-502
  10. Gupta, S. K., Bhardwaj, P. C., Elastic-Plastic and Creep Transition of an Orthotropic Cylinder under Internal Pressure, Proc. Nat. Acad. Sci., India, 52 Section A (1986), pp.1261-1269.
  11. Gupta, S. K., Bhardwaj, P. C., Elastic-Plastic Transition of an Orthotropic Rotating Cylinder, Proc. Nat. Acad. Sci., India, 52, Section A (1986), pp. 1357-1360
  12. Gupta, S. K., Rana, V. D., Thermo- Elastic-Plastic and Creep Transition in Rotating Cylinder. J. Math. Phy. Sci., 23 (1989), 3, pp. 243-250
  13. Gupta S. K., Pankaj, Creep Transition in a Thin Rotating Disc with Rigid Inclusion, Defence Sci. Journal, 57 (2007), 2, pp. 185-195
  14. Gupta, S. K., Pankaj, Thermo Elastic-Plastic Transition in a Thin Rotating Disc with Inclusion, Thermal Science, 11 (2007), 1, pp. 103-118
  15. Gupta, S. K., Rana, V. D. Elastic- Elastic-Plastic and Creep Transition of Transversely Isotropic Cylinder under Internal Pressure, Journal of Mathematical and Physical Science, 16 (1982), 5, pp. 499-505
  16. Nadai, A., Theory of Flow and Fractures of Solids, 2nd ed., Mc-Graw-Hill, New York, USA, 1950
  17. Parkus, H., Thermo-Elasticity, Springer-Verlag, New York, USA, 1976, p. 119
  18. Seth, B. R., Measure Concept in Mechanics, Int. Journal of Non-Linear Mech., 1 (1966), 1, pp. 35-40
  19. Seth, B. R., Transition Analysis of Collapse of Thick-Walled Cylinders, ZAMM, 50 (1970), pp. 617-621
  20. Hill, R., Mathematical Theory of Plasticity, Clarendon Press, Oxford, UK, 1950
  21. Sokolnikoff, I. S., Mathematical Theory of Elasticity, Mc-Graw-Hill, New York, USA, 1956
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