Skip to main content
SpringerLink
Log in

Influence of dynamic processes in a film on damage development in an adhesive base

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

In the process of deformation of such multilayer structures, significant stresses can arise on the foundation-coating interface because of the difference in their physical and mechanical properties, which can result in fracture or coating separation. The action of static or impact loads on damage onset and development in the adhesive layer in such multilayer structures has been investigated almost completely, but similar processes in the case of suddenly applied vibration loads have not been studied to a large extent. The latter draw attention because of the fact that even small variable actions can localize vibrations near the imperfections (inclusions, defects, etc.) and can be accompanied with an increase in the damage of the adhesion layer, which results in partial separation of the film. In the present paper, the possibility of vibration localization in damaged regions and the influence of the localization on the damage development till the film separation are studied. The first of the possible scenarios of the damage region behavior is its monotone increase. The second scenario of damage behavior is its constant stepwise growth. In this case, damage increases on some time intervals and is constant between the intervals. Under the conditions obtained in the paper, this second scenario can be transformed into the first one. The third scenario is that damage does not increase. This scenario can be realized under sufficiently large vibration load frequencies. Some conditions under which damage behavior is determined by the localized oscillating part of the solution are derived.

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. G. P. Cherepanov, Fracture Mechanics of Composite Materials (Nauka, Moscow, 1983) [in Russian].

    MATH  Google Scholar 

  2. G. P. Cherepanov, “Fracture Mechanics of Multilayered Shells. Theory of Delamination Cracks,” Prikl. Mat. Mekh. 47(5), 832–845 (1983) [J. Appl. Math. Mech. (Engl. Transl.) 47 (5), 669–678 (1983)].

    Google Scholar 

  3. V. V. Bolotin, “On the Dynamic Propagation of Cracks,” Prikl. Mat. Mekh. 56(1), 150–162 (1992) [J. Appl. Math. Mech. (Engl. Transl.) 56 (1), 132–143 (1992)].

    MathSciNet  Google Scholar 

  4. V. V. Bolotin, “Defects of the Delamination Type in Composite Structures,” Mekh. Komp. Mater., No. 2, 239–255 (1984) [Mech. Comp. Mater. (Engl. Transl.) 20 (2), 173–188 (1984)].

  5. V. V. Bolotin, “Interply Failure of Composites in Combined Loading,” Mekh. Komp. Mater., No. 3, 410–418 (1988) [Mech. Comp. Mater. (Engl. Transl.) 24 (3), 295–303 (1988)].

  6. V. V. Bolotin and V. N. Shchugorev, “Effect of Low-Velocity Impact on the Residual Strength of Composites,” Mekh. Komp. Mater., 29(4), 478–487 (1993) [Mech. Comp. Mater. (Engl. Transl.) 29 (4), 357–364 (1994)].

    Google Scholar 

  7. C. C. Poe, Jr., W. Illg, and D. P. Garber, “Hidden Impact Damage in Thick Composites,” in Rev. of Progress in Quantitative Nondestructive Evaluation, Vol. 5 (B.N.Y., London, 1986), pp. 1215–1226.

    Google Scholar 

  8. S. P. Joshi and C. T. Sun, “Impact Induced Fracture in a Laminated Composite,” J. Comp. Mater. 19(1), 51–66 (1985).

    Article  Google Scholar 

  9. M.G. Andrews, R. Massab, A. Cavicchi, and B. N. Cox, “Dynamic Interaction Effects of Multiple Delaminations in Plates subject to Cylindrical Bending,” Int. J. Solids Struct. 46(9), 1815–1833 (2009).

    Article  MATH  Google Scholar 

  10. D. A. Indeitzev, N. G. Kuznetsov, O. V. Motygin, and Yu. A. Mochalova, Localization of Linear Waves (Izd-vo SPbGU, St. Petersburg, 2007) [in Russian].

    Google Scholar 

  11. Y. V. Petrov and N. F. Morozov, “On the Modeling of Fracture of Brittle Solids,” Trans. ASME. J. Appl. Mech. 61(3), 710–712 (1994).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems inMechanical Engineering, Russian Academy of Sciences, Bol’shoy pr-t 61, St. Petersburg, 199178, Russia

    A. K. Abramyan, S. A. Vakulenko, D. A. Indeitsev & B. N. Semenov

Authors
  1. A. K. Abramyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Vakulenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. A. Indeitsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. N. Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. K. Abramyan.

Additional information

Original Russian Text © A.K. Abramyan, S.A. Vakulenko, D.A. Indeitsev, B.N. Semenov, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 5, pp. 14–21.

About this article

Cite this article

Abramyan, A.K., Vakulenko, S.A., Indeitsev, D.A. et al. Influence of dynamic processes in a film on damage development in an adhesive base. Mech. Solids 47, 498–504 (2012). https://doi.org/10.3103/S0025654412050020

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654412050020

Keywords

Search

Navigation