pure and applied geophysics

, Volume 112, Issue 1, pp 58–66 | Cite as

Effects of non-homogeneity on the stresses in a gravitating sphere

  • A. Mukhopadhyay
Article
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Summary

The effects of non-homogeneity on the stresses in respect of rigidity have been exhibited in a gravitating sphere i) with homogeneous core and ii) with rigid core and compared graphically with those in the corresponding homogeneous case. The effect has been computed on the stress concentration on the interface and the region of compression and extension.

Keywords

Stress Concentration Homogeneous Case Rigid Core Homogeneous Core 
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References

  1. [1]
    W. Olszak (Ed.),Non-homogeneity in Elasticity and Plasticity (Pergamon Press, London 1959).Google Scholar
  2. [2]
    R. E. Gibson,Some results concerning displacements and stresses in a non-homogeneous elastic half space, Geotechnique17 (1967), 58–67.Google Scholar
  3. [3]
    R. L. Huston,On non-homogeneous elastic spheres, ZAMM44 (1964), 573–578.Google Scholar
  4. [4]
    J. N. Goodier,Concentration of Stress around sperical and cylindrical inclusion and flaws, Trans. ASME55 (7) (1933), 39.Google Scholar
  5. [5]
    S. C. Das,On the stresses due to small spherical inclusion in a uniform beam under constant bending moment, Bull. Cal. Math. Soc.45 (2) (1953), 55.Google Scholar
  6. [6]
    A. E. H. Love,The Mathematical Theory of Elasticity (Dover Publication, New York 1944), p. 143.Google Scholar
  7. [7]
    J. G. Chakravorty andY. De,Effects of non-homogeneity on the stresses in a gravitating sphere, Pure and Appl. Geophys.86 (III) (1971), 88–94.Google Scholar

Copyright information

© Birkhäuser-Verlag 1974

Authors and Affiliations

  • A. Mukhopadhyay
    • 1
  1. 1.Lecturer in MathematicsVivekananda Centenary CollegeParganasIndia

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