Skip to main content
SpringerLink
Log in

Equilibrium viscoelastic waves

  • Brief Reports
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Summary

From an asymptotic property of the Fourier integral, it is shown that for any input wave for a one-dimensional viscoelastic medium the waveform will recover its original shape and will propagate with the equilibrium wave speed, provided that the equilibrium modulus exists and the duration of the input wave is long enough.

Zusammenfassung

Wir benutzen eine asymptotische Eigenschaft des Fourierintegrals, um zu zeigen, dass beim ein-dimensionalen viskoelastischen Körper jede Eingangswelle bald in ihrer ursprünglichen Gestalt wiedergewonnen und mit der Geschwindigkeit des Gleichgewichtszustandes propagiert wird, sobald man voraussetzt, dass der Gleichgewichtsmodul existiert und die Eingabezeit hinreichend lang ist.

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

References

  1. E. H. Lee andI. Kanter, J. Appl. Phys.24, 1115 (1953).

    Google Scholar 

  2. E. Varley, Arch. Rational Mech. Anal.19, 215 (1965).

    Google Scholar 

  3. B.D. Coleman andM. E. Gurtin, Arch. Rational Mech. Anal.19, 239 (1965).

    Google Scholar 

  4. W. G. Knauss, J. Appl. Mech.35, 449 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA

    Shih-Jung Chang

Authors
  1. Shih-Jung Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Operated by Union Carbide Corporation for the U.S. Atomic Energy Commission.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chang, SJ. Equilibrium viscoelastic waves. Journal of Applied Mathematics and Physics (ZAMP) 24, 893–896 (1973). https://doi.org/10.1007/BF01590798

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01590798

Keywords

Search

Navigation