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A moving punch on an infinite viscoelastic layer

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Summary

The problem of a rigid punch pressed against and moved on the surface of an elastic or viscoelastic layer is studied. It is shown that the governing equations reduce to the same integral equation for the elastic contact problem. Two particular motions of the punch are considered. In the first case the punch moves at a constant speed along a straight line on the surface of a viscoelastic layer. In the second case the punch moves at a constant speed along a circular path. Finally, the special case of a punch moving on a layer of a standard linear viscoelastic solid is studied. The equation is identical to a punch of modified shape pressed on an elastic layer.

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References

  1. Sokolnikoff, I. S., Mathematical Theory of Elasticity (New York 1956).

  2. Sneddon, I. N., Fourier Transforms (New York 1951).

  3. Ting, T. C. T., J. Appl. Mech.35, 248–254 (1968).

    Google Scholar 

  4. Ting, T. C. T., J. Appl. Mech.33, 845–854 (1966).

    Google Scholar 

  5. Lee, E. H., Viscoelastic Stress Analysis, Structural Mechanics, Proceedings of the First Symposium on Naval Structural Mechanics (New York 1960).

  6. Lee, E. H. andJ. R. M. Radok, J. Appl. Mech.27, 438–444 (1960).

    Google Scholar 

  7. Hunter, S. C., J. Mech. Physics Solids8, 219–234 (1960).

    Google Scholar 

  8. Graham, G. A. C., Int. J. Eng. Sci.,3, 27–45 (1965).

    Google Scholar 

  9. Graham, G. A. C., Int. J. Eng. Sci.5, 495–514 (1967).

    Google Scholar 

  10. Ting, T. C. T. andC. H. Wu, J. Appl. Mech.39, 461–468 (1972).

    Google Scholar 

  11. Efimov, A. B., Vestnik Moskovskogo Universiteta, Seriya 1, Matematika-Mekhanika, No.2, 120–127 (1966).

    Google Scholar 

  12. Tsai, Y. M., Q. Appl. Math.27, 371–380 (1969).

    Google Scholar 

  13. Hunter, S. C., J. Appl. Mech.28, 611–617 (1961).

    Google Scholar 

  14. Morland, L. W., J. Appl. Mech.29, 345–352 (1962).

    Google Scholar 

  15. Yang, W. H., J. Appl. Mech.33, 395–401 (1966).

    Google Scholar 

  16. Christensen, R. M., Theory of Viscoelasticity (New York 1971).

  17. Gurtin, M. E. andE. Sternberg, Arch. Rat. Mech. Analysis11, 291–356 (1962).

    Google Scholar 

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The work presented here was supported by the National Science Foundation under Grant GK 35163 with the University of Illinois.

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Ting, T.C.T. A moving punch on an infinite viscoelastic layer. Rheol Acta 12, 150–154 (1973). https://doi.org/10.1007/BF01635095

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  • DOI: https://doi.org/10.1007/BF01635095

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