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The relation between stress and particle velocity for Rayleigh pulses

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In this note, the relationship between the stress and the particle velocity for Rayleigh pulses which propagate along a free surface of an elastic isotropic half-space is discussed.

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References

  1. Rayleigh, J. W. S.: On waves propagated along the plane surface of an elastic solid. Proc. Lond. Math. Soc.17, 4–11 (1885).

    Google Scholar 

  2. Lamb, H.: On the propagation of tremors over the surface of an elastic solid. Phil. Trans. R. Soc.A203, 1–42 (1904).

    Google Scholar 

  3. Cardenas-Garcia, J. F.: On Rayleigh waves and Rayleigh wave extension of surface microcracks. Ph. D. Thesis, University of Maryland 1983.

  4. Uenishi, K.: Rayleigh pulse-dynamic triggering of interface slip. Ph. D. Thesis, Vienna University of Technology 1997.

  5. Chadwick, P.: Surface and interfacial waves of arbitrary form in isotropic elastic media. J. Elast.6, 73–80 (1976).

    Google Scholar 

  6. Scheidl, W., Ziegler, F.: Interaction of a pulsed Rayleigh surface wave and a rigid cylindrical inclusion. In: Modern problems in elastic wave propagation (Miklowitz, J., Achenbach, J. D., eds.), pp. 145–169. New York: Wiley 1978.

    Google Scholar 

  7. Scheidl, W.: Das Spannungsfeld um einen beweglichen, elastisch gebetteten, starren Einschluß zufolge der Erregung durch eine stoßartige Oberflächenwelle. Ph. D. Thesis, Vienna University of Technology 1977.

  8. Miklowitz, J.: The theory of elastic waves and waveguides. Amsterdam: North-Holland 1978.

    Google Scholar 

  9. Achenbach, J. D.: Wave propagation in elastic solids. Amsterdam: North-Holland 1976.

    Google Scholar 

  10. Hudson, J. A.: The excitation and propagation of elastic waves. Cambridge: Cambridge University Press 1980.

    Google Scholar 

  11. Ewing, W. M., Jardetzky, W. S., Press, F.: Elastic waves in layered media. New York: McGraw-Hill 1957.

    Google Scholar 

  12. Ben-Menahem, A., Singh, S. J.: Seismic waves and sources. New York: Springer 1981.

    Google Scholar 

  13. Knopoff, L.: On Rayleigh wave velocities. Bull. Seism. Soc. Am.42, 307–308 (1952).

    Google Scholar 

  14. Viktorov, I. A.: Rayleigh and Lamb waves. New York: Plenum Press 1967.

    Google Scholar 

  15. Dobrin, M. B., Simon, R. F., Lawrence, P. L.: Rayleigh waves from small explosions. Trans. Am. Geophys. Union32, 822–832 (1951).

    Google Scholar 

  16. Knowles, J. K.: A note on elastic surface waves. J. Geophys. Res.71, 5480–5481 (1966).

    Google Scholar 

  17. Burridge, R.: The directions in which Rayleigh waves may be propagated on crystals. Q. J. Mech. Appl. Math.23, 217–224 (1970).

    Google Scholar 

  18. Borejko, P.: Application of the generalized rays to transient waves in an elastic half-space due to a buried line source. Acta Mech.67, 79–90 (1987).

    Google Scholar 

  19. Persson, P. A., Holmberg, R., Lee, J.: Rock blasting and explosives engineering. Boca Raton: CRC Press 1994.

    Google Scholar 

  20. Persson, P. A.: The relationship between strain energy, rock damage, fragmentation, and throw in rock blasting. In: Proceedings of the fifth international symposium on rock fragmentation by blasting-FRAGBLAST-5 (Mohanty, B. ed.), pp. 113–120. Rotterdam: Balkema 1996.

    Google Scholar 

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Dedicated to Prof. Dr. Dr. h. c. Franz Ziegler on the occasion of his 60th birthday

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Uenishi, K., Rossmanith, H.P. The relation between stress and particle velocity for Rayleigh pulses. Acta Mechanica 131, 247–253 (1998). https://doi.org/10.1007/BF01177228

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  • DOI: https://doi.org/10.1007/BF01177228

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