Elasto-Plastic Stresses in a Non-Homogeneous Spherical Pressure Vessel

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Authors

  • J. G. Chakravorty
     Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta-9 ,IN
  • A. Mukherjee
     Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta-9 ,IN

Abstract

Reuss [5] found out the yield pressure on the internal boundary of a homogeneous isotropic spherical shell and obtained the pressure on the internal boundary needed to produce a plastic flow upto a certain radius. Since then some investigations have been made on the effects of non-homogeneity on elasto-plastic stresses in pressure vessels. Olsak and Urbanowski [4] discussed the problem of thick walled spherical shell of incompressible material, radially non-homogeneous, subjected to the action of internal and external pressure.

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Published

1974-12-01

How to Cite

Chakravorty, J. G., & Mukherjee, A. (1974). Elasto-Plastic Stresses in a Non-Homogeneous Spherical Pressure Vessel. The Journal of the Indian Mathematical Society, 38(1-4), 299–304. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/16704

Issue

Volume 38, Issue 1-4, March-December 1974

Section

Articles

License

Copyright (c) 1974 J. G. Chakravorty, A. Mukherjee

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

CHAKRAVORTY, J. G.: Plastically non-homogeneous shells under internal pressure, AIAA Journal, 7, 8 (1969), 1601.

GHOSH, D.: Elasto-plastic stresses in a spherical pressure vessel of nonhomogeneous material., Jour. Sci. Engi. Res., VII, 2 (1963), 307.

MCLACHLAN, N. W.: Bessel Functions for Engineers, 2nd. ed., Oxford (1955).

OLSZAK, W. AND URBANOWSKI, W.: Thickwalled spherical shell of incompressible material., Bull. Acad. Pol. Sci., Ch. IV, 3, 4 (1956). 165.

REUSS, A.: "Berucksichtigung der elastischen Formanderung in der Plastizitatstheorie"., Zeit. ang. Math. Mech. 10,(1930) 266.