Skip to main content
SpringerLink
Log in

On the influence of initial strains in layers on the propagation of torsional waves in a hollow sandwich cylinder (soft core and stiff face layers)

  • Published:
Mechanics of Composite Materials Aims and scope

Within the scope of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in prestrained bodies, the effect of initial strains in layers on the dispersion of torsional waves in a hollow sandwich cylinder is studied. Two cases are considered: in Case 1, it is assumed that initial strains exist in only face layers; in Case 2, initial strains occur in all layers of the cylinder. The elasticity relations for layer materials of the cylinder are given through a harmonic potential. A dispersion equation is derived, and an analytical expression is obtained for the limit values of wave propagation speed for low wave numbers. Numerical results are presented and discussed.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. S. D. Akbarov, T. Kepceler, and M. Mert Egilmez, “Torsional wave dispersion in a finitely pre-deformed hollow sandwich cylinder,” J. of Sound and Vibration, 330, 4519–4537 (2011).

    Article  Google Scholar 

  2. A. Ozturk and S. D. Akbarov, “Propagation of torsional waves in a pre-stretched compound circular cylinder,” Mechanics of Composite Materials, 44, No. 1, 77–86 (2008).

    Article  Google Scholar 

  3. A. Ozturk and S. D. Akbarov, “Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder,” ZAMM – J. of Appl. Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 89 No. 9, 754–766 (2009).

    Article  Google Scholar 

  4. A. Ozturk and S. D. Akbarov, “Torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium,” Appl. Mathematical Modelling, 33, 3636–3649 (2009).

    Article  Google Scholar 

  5. T. Kepceler, “Torsional wave dispersion relations in a pre-stresses bi-material compound cylinder with an imperfect interface,” Appl. Mathematical Modelling, 34, 4058–4073 (2010).

    Article  Google Scholar 

  6. A. Cilli and A. Ozturk, “Dispersion of torsional waves in initially stressed multilayered circular cylinders,” Mechanics of Composite Materials, 13, No. 2, 239–296 (2010).

    Google Scholar 

  7. A. N. Guz, Elastic Waves in Bodies with Initial (Residual) Stresses, “A.S.K.”, Kiev, (in Russian) (2004).

    Google Scholar 

  8. A. E. Armenakas, “Propagation of harmonic waves in composite circular cylindrical shells. II Numerical investigation,” Am. Institute of Aeronautics and Astronautics J., 9, No. 4, 599–605 (1971).

    Article  Google Scholar 

  9. S. Markus and D. J. Mead, “Wave motion in a three-layered, orthotropic –isotropic-orthotropic, composite shell,” J. of Sound and Vibration, 181, 149–167 (1995).

    Article  Google Scholar 

  10. J. Kudlicka, “Energy flow of axisymmetric elastic waves in a three-layered, transtropic- isotropic-transtropic, composite cylinder,” J. of Sound and Vibration, 277, 1093–1100 (2004).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus, Besiktas, Istanbul, Turkey

    S. D. Akbarov, T. Kepceler & M. Mert Egilmez

  2. Institute of Mathematics and Mechanics of the National Academy of Science of Azerbaijan, Baku, Azerbaijan

    S. D. Akbarov

Authors
  1. S. D. Akbarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Kepceler
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Mert Egilmez
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. D. Akbarov.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 49, No. 3, pp. 433–444, May-June, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbarov, S.D., Kepceler, T. & Egilmez, M.M. On the influence of initial strains in layers on the propagation of torsional waves in a hollow sandwich cylinder (soft core and stiff face layers). Mech Compos Mater 49, 297–304 (2013). https://doi.org/10.1007/s11029-013-9346-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-013-9346-2

Keywords

Search

Navigation