Skip to main content
SpringerLink
Log in

Nonlinear acoustics of bounded solid

Transverse-wave incidence and response in critical angle

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Reflection and refraction are investigated when the incidental angles of transverse waves are larger than the critical one. An interesting result is obtained that at this angle all the second-order displacements on the stress-free surface have a very strong maximum module and a phase leap; thereupon an appropriate second-order harmonic surface wave could be produced.

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. Qian, Z. W., Nonlinear acoustics of bounded solid-reflection and refraction of second-order bulk waves (I)—Pincidence.Science in China, Ser. A, 1993, 36(12): 1468.

    Google Scholar 

  2. Qian, Z. W., Nonlinear acoustics of bounded solid-reflection and refraction of second-order bulk waves (II)—SV-or SH-incidence.Science in China, Ser. A, 1993, 37(6): 693.

    Google Scholar 

  3. Qian, Z. W., Equations of second-order potentials of finite-amplitude wave in elastic solids,J. Acoust. Soc. Am., 1989, 86: 1965.

    Article  Google Scholar 

  4. Qian, Z. W., Equations of the second-order potentials in bounded solid space—bulk and surface waves,J. Sound and Vibration, 1995, 184(4): 561.

    Article  Google Scholar 

  5. Qian, Z. W., Special solution of second harmonic wave equation in nonlinear acoustics and applications to boundary-value problem,Acta Physica Sinica (in Chinese), 1993, 42(6): 949.

    Google Scholar 

  6. Qian, Z. W., Second-order harmonics of surface wave in isotropic solids,J. Sound and Vibration, 1995, 187(3): 369.

    Article  Google Scholar 

  7. Qian, Z. W., Nonlinear acoustics of bounded solid-transverse-wave and response in critical angle,Science in China (in Chiese), Ser. A, 1997, 27(8): 757.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Stake Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, 100080, Beijing, China

    Zuwen Qian

Authors
  1. Zuwen Qian
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19334062).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qian, Z. Nonlinear acoustics of bounded solid. Sci. China Ser. A-Math. 41, 960–966 (1998). https://doi.org/10.1007/BF02880005

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02880005

Keywords

Search

Navigation