pure and applied geophysics

, Volume 109, Issue 1, pp 1672–1681 | Cite as

On the effect of non-homogeneity

  • J. G. Chakravorty
  • D. Chatterjee


Effects of non-homogeneity in respect of rigidity have been computed in the case of a gravitating sphere with a rigid core. For an isotropic spherical shell the effect of variation of rigidity has been calculated when the shell is under pressure or when the shell is subjected to some steady temperature on its internal surface.


Shear Modulus Spherical Shell Radial Stress Hoop Stress Homogeneous Case 
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    H. S. Carslaw andJ. C. Jaeger,Conduction of Heat in Solids (Clarendon Press, Oxford 1947), p. 9.Google Scholar
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    A. E. H. Love,The Mathematical Theory of Elasticity (Dover Publication, New York 1944), p. 142.Google Scholar
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    N. W. McLachlan,Bessel Function for Engineers, 2nd ed. (Clarendon Press, Oxford 1955), pp. 202–204.Google Scholar
  4. [4]
    S. Timoshenko andJ. N. Goodier,Theory of Elasticity, 2nd ed. (McGraw-Hill, 1951), p. 421.Google Scholar

Copyright information

© Birkhäuser-Verlag 1973

Authors and Affiliations

  • J. G. Chakravorty
    • 1
  • D. Chatterjee
    • 2
  1. 1.University of CalcuttaCalcutta-9India
  2. 2.P. J. College, Andul-MouriHowrahIndia

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