Skip to main content
Log in

Prestress-induced dispersion-like effects on wave propagation in elastic compressible materials

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

The paper deals with wave propagation in an elastic homogeneous bar that includes a prestressed segment in it. The prestress in that segment may be due to some distortion forces acting upon the bar. The end surfaces of the segment act as discontinuity surfaces inside the medium. They partially reflect and partially transmit any pressure wave impinging on them. It is found that the coefficients of reflection and transmission are functions both of the prestress of the segment and of the frequency of the wave. This produces a prestress-induced dispersion-like phenomenon, which in principle should be capable of revealing the state of internal stress of the body.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Shen, F., Li, Q., Li, S.: Effects of stress and saturating fluids on wave propagation in porous-fractured rocks. American Geophysical Union, Fall Meeting 2001 (2001)

  2. Yu G., Vozoff K., Durney D.W.: The influence of confining pressure and water saturation on dynamic elastic properties of some Permian coals. Geophys 58, 30–38 (1993)

    Article  Google Scholar 

  3. Holt R.M., Furre A.-K., Horsrud P.: Stress dependent wave velocities in sedimentary rock cores: Why and why not?. Int. J. Rock Mech. Min. Sci. 34, 128.e1–128.e12 (1997)

    Article  Google Scholar 

  4. Tylczynski Z., Karaev A.D., Tylczynski Z., Mróz B.: Influence of uniaxial stress on ultrasonic wave propagation near the phase transition in a TGSe crystal. J. Phys. Condens. Matter 12, 7133–7147 (2000)

    Article  Google Scholar 

  5. Selim M.M., Abe S., Harigaya K.: Effects of initial compression stress on wave propagation in carbon nanotubes. Eur. Phys. J. B 69, 523–528 (2009)

    Article  Google Scholar 

  6. Chen X., Kong T., Wang X.: Effects of initial stress on wave propagation in multi-walled carbon nanotubes. Phys. Scr. 78, 15601–15609 (2008)

    Article  Google Scholar 

  7. Billingham J., King A.C.: Wave Motion. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge (2000)

    Google Scholar 

  8. Pain H.J.: The Physics of Vibrations and Waves, 6th edn. Wiley, Chichester (2005)

    Book  Google Scholar 

  9. Royer D., Dieulesaint E.: Elastic Waves in Solids I—Free and Guided Propagation. Advanced Texts in Physics. Springer, Berlin (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giorgio Carta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carta, G. Prestress-induced dispersion-like effects on wave propagation in elastic compressible materials. Acta Mech 220, 209–215 (2011). https://doi.org/10.1007/s00707-011-0481-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-011-0481-3

Keywords

Navigation