Skip to main content
SpringerLink
Log in

Nonlinear effects on transverse shear waves in an elastic medium

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

The effect of second- and third-order nonlinearities on transverse shear waves in an elastic medium is examined. It is found that waveform distortion and shock development occur on a length scale which is an order of magnitude greater than for longitudinal waves. Explicit solutions for modulated traveling waves are obtained.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D.R. Bland, J. Inst. Math. Applics. 1 (1965) 56–75.

    Google Scholar 

  2. A.C. Pipkin, Quart. Appl. Math. 23 (1966) 297–303.

    Google Scholar 

  3. D.A. Spence, in: R.W. Dickey (ed.) Nonlinear Elasticity. Academic Press, New York (1973) pp. 365–396.

    Google Scholar 

  4. R.W. Lardner, Proc. Roy. Soc. A 347 (1976) 329–344.

    Google Scholar 

  5. D.R. Bland, Nonlinear Dynamic Elasticity. Blaisdell, Waltham, Mass. (1969).

    Google Scholar 

  6. C.A. Truesdell, Continuum Mechanics, Vol. 1. Gordon and Breach, New York (1966) p. 65.

    Google Scholar 

  7. A.C. Eringen, Mechanics of Continua. John Wiley, New York (1967).

    Google Scholar 

  8. A.D. Fine and R.T. Shield, Int. J. Solids & Structures 2 (1966) 605–620.

    Google Scholar 

  9. A.D. Fine, Second-order effects in the propagation of elastic waves, Ph.D. Thesis, Brown University (1965).

  10. S.C. Chikwendu and J. Kevorkian, SIAM J. Appl. Math. 22 (1972) 235–238.

    Google Scholar 

  11. R.W. Lardner, Quart. Appl. Math. 35 (1977) 225–238.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi Arabia

    R. W. Lardner

Authors
  1. R. W. Lardner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lardner, R.W. Nonlinear effects on transverse shear waves in an elastic medium. J Elasticity 15, 53–57 (1985). https://doi.org/10.1007/BF00041304

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041304

Keywords

Search

Navigation