Skip to main content
SpringerLink
Log in

Localized acoustic waves at twist boundaries in transversely isotropic media

  • Special Issue
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Existence criteria and basic characteristics are analytically found for elastic waves localized at a twist boundary in transverse isotropic media. The boundary is formed by two identical semi-infinite bodies with non-collinear principal axes parallel to the interface. The analysis is based on the Stroh formalism specified to the case of transverse isotropy. The dispersion equation is presented in a general form and explicitly solved for small misorientations. The waves in the sector situated between the directions of transverse isotropy in the sub-media of the bicrystal are explicitly described.

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. Stoneley R.: Elastic waves at the surface of separation of two solids. Proc. R. Soc. Lond. A 106, 416–428 (1924)

    Article  Google Scholar 

  2. Stroh A.N.: Steady state problems in anisotropic elasticity. J. Math. Phys. 41, 77–103 (1962)

    MATH  MathSciNet  Google Scholar 

  3. Barnett D.M., Lothe J.: Free surface (Rayleigh) waves in anisotropic elastic half-spaces. Proc. R. Soc. Lond. A 402, 135–152 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  4. Barnett D.M., Lothe J., Gavazza S.D., Musgrave M.J.P.: Considerations of the existence of interfacial (Stoneley) waves in bonded anisotropic half-spaces. Proc. R. Soc. A 402, 153–166 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  5. Thölén A.R.: Stoneley waves at grain boundaries in cooper. Acta Metall. 32, 349–356 (1984)

    Article  Google Scholar 

  6. Mozhaev V.G., Tokmakova S.P., Weihnacht M.: Interface acoustic modes of twisted Si(001) wafers. J. Appl. Phys. 83, 3057–3060 (1998)

    Article  Google Scholar 

  7. Lothe J., Alshits V.I.: Existence criterion for quasi-bulk surface waves. Sov. Phys. Crystallogr. 22, 519–525 (1977)

    Google Scholar 

  8. Alshits V.I., Lothe J.: Surface waves in hexagonal crystals. Sov. Phys. Crystallogr. 23, 509–515 (1978)

    Google Scholar 

  9. Alshits V.I., Maugin G.A.: Dynamics of multilayers: elastic waves in an anisotropic graded or stratified plate. Wave Motion 41, 357–394 (2005)

    Article  MathSciNet  Google Scholar 

  10. Fedorov F.I.: Theory of Elastic Waves in Crystals. Plenum Press, New York (1968)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Crystallography RAS, Moscow, Russia

    Vladimir Alshits & Vasilyi Lyubimov

  2. Polish-Japanese Institute of Information Technology, Warsaw, Poland

    Vladimir Alshits

  3. Mechatronics and Mechanical Engineering Department, Kielce University of Technology, Al.1000-lecia Państwa Polskiego 7, 25-314, Kielce, Poland

    Andrzej Radowicz

Authors
  1. Vladimir Alshits
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vasilyi Lyubimov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andrzej Radowicz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Andrzej Radowicz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alshits, V., Lyubimov, V. & Radowicz, A. Localized acoustic waves at twist boundaries in transversely isotropic media. Arch Appl Mech 79, 631–638 (2009). https://doi.org/10.1007/s00419-008-0281-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-008-0281-y

Keywords

Search

Navigation