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Elastic Indentation Stress Fields

Part of the Mechanical Engineering Series book series (MES)

Keywords

Principal Stress Contact Pressure Radial Stress Hoop Stress Spherical Indenter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H. Hertz, “On the contact of elastic solids,” J. Reine Angew. Math. 92, 1881, pp. 156-171. Translated and reprinted in English in Hertz’s Miscellaneous Papers, Macmillan & Co., London, 1896, Ch. 5.Google Scholar
  2. 2.
    H. Hertz, “On hardness,” Verh. Ver. Beförderung Gewerbe Fleisses 61, 1882, p. 410. Translated and reprinted in English in Hertz’s Miscellaneous Papers, Macmillan & Co, London, 1896, Ch. 6.Google Scholar
  3. 3.
    M.T. Huber, “Zur Theorie der Berührung fester elastischer Körper,” Ann. Phys. 43 61, 1904, pp. 153-163.CrossRefGoogle Scholar
  4. 4.
    S. Fuchs, “Hauptspannungstrajektorien bei der Berührung einer Kugel mit einer Platte,” Phys. Z. 14, 1913, pp. 1282-1285.Google Scholar
  5. 5.
    M.T. Huber and S. Fuchs, Phys. Z. 15, 1914, p. 298.Google Scholar
  6. 6.
    W.B. Moreton and L.J. Close, Philos. Mag. 43, 1922, p. 320.Google Scholar
  7. 7.
    I.N. Sneddon, Fourier Transforms, McGraw-Hill, New York, 1951.Google Scholar
  8. 8.
    G.M.L. Gladwell, Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1980.MATHGoogle Scholar
  9. 9.
    K.L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, U.K., 1985.MATHGoogle Scholar
  10. 10.
    . J. Boussinesq, Application des Potentiels a l’Etude de l’Equilibre et du Mouvement des Solides Elastiques, Gauthier-Villars, Paris 1885. Discussed in S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw-Hill, New York, 1970, pp. 398-402.Google Scholar
  11. 11.
    C.R. Flamant, Paris, 114, 1892, p. 1465.Google Scholar
  12. 12.
    S. Timoshenko and J.N. Goodier, Theory of Elasticity, 2nd Ed., McGraw-Hill, New York, 1970.MATHGoogle Scholar
  13. 13.
    J.C. Jaeger and N.G.W. Cook, Fundamentals of Rock Mechanics, Chapman and Hall, 1969, London, p. 274.Google Scholar
  14. 14.
    I.N. Sneddon, “Boussinesq’s problem for a flat-ended cylinder,” Proc. Cambridge Philos. Soc. 42, 1946, pp. 29-39.MATHCrossRefMathSciNetGoogle Scholar
  15. 15.
    I.N. Sneddon, “The elastic stresses produced in a thick plate by the application of pressure to its free surfaces,” Proc. Cambridge Philos. Soc. 42, 1946, pp. 260-271.MATHCrossRefMathSciNetGoogle Scholar
  16. 16.
    B.R. Lawn, T.R. Wilshaw, and N.E.W. Hartley, “A computer simulation study of hertzian cone crack growth,” Int. J. Fract. 10 1, 1974, pp. 1-16.CrossRefGoogle Scholar
  17. 17.
    E.H. Yoffe, “Elastic stress fields caused by indenting brittle materials,” Philos. Mag. A, 46 4, 1982, p. 617.CrossRefGoogle Scholar
  18. 18.
    . B.R. Lawn, private communication, 1994.Google Scholar
  19. 19.
    J.W. Harding and I.N. Sneddon, “The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch,” Proc. Cambridge Philos. Soc. 41, 1945, pp. 16-26.MATHCrossRefMathSciNetGoogle Scholar
  20. 20.
    M. Barquins and D. Maugis, “Adhesive contact of axisymmetric punches on an elas-tic half-space: the modified Hertz-Huber’s stress tensor for contacting spheres,” J. Mec. Theor. Appl. 1 2, 1982, pp. 331-357.MATHGoogle Scholar
  21. 21.
    S. Way, “Some observations on the theory of contact pressures,” J. Appl. Mech. 7, 1940, pp. 147-157.Google Scholar
  22. 22.
    I.N. Sneddon, “Boussinesq’s problem for a rigid cone,” Proc. Cambridge Philos. Soc. 44, 1948, pp. 492-507.MATHCrossRefMathSciNetGoogle Scholar

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