Skip to main content
Log in

Determining Stresses in an Adhesive Joint with a Longitudinal Unadhered Region Using a Simplified Two-Dimensional Theory

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A simplified two-dimensional model of an overlap adhesive joint is proposed. The problem of a stress state of an adhesive joint, along the surfaces of which unadhered regions are located, is solved analytically under the assumption that the cross-sectional displacements of carrier layers vanish. The resulting solution is a functional series, with eigenfunctions being nonorthogonal. It is shown that the presence of unadhered regions may significantly increase stresses near the edge of the adherend.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. F. M. da Silva, P. J. C. das Neves, R. D. Adams, and J. K. Spelt, “Analytical Models of Adhesively Bonded Joints. 1. Literature Survey,” Int. J. Adhes. Adhesiv. 29, 319–330 (2009).

    Article  Google Scholar 

  2. N. G. Ryabenkov and Yu. P. Artyukhin, “Determining Adhesive Stresses in a Joint of Two Semi-Infinite Plates,” Issled. Teor. Plastin Obolochek 16, 82–90 (1981).

    Google Scholar 

  3. P. Rapp, “Mechanics of Adhesive Joints As a Plane Problem of the Theory of Elasticity. 2. Displacement Formulation for Orthotropic Adherends,” Arch. Civil Mech. Eng. 15 (2), 603–619 (2015).

    Article  MathSciNet  Google Scholar 

  4. A. Barut, J. Hanauska, E. Madenci, and D. R. Ambur, “Analysis Method for Bonded Patch Repair of a Skin with a Cutout,” Compos. Struct. 55, 277–294 (2002).

    Article  Google Scholar 

  5. A. Chukwujekwu Okafor, N. Singh, U. E. Enemuoh, and S. V. Rao, “Design, Analysis and Performance of Adhesively Bonded Composite Patch Repair of Cracked Aluminum Aircraft Panels,” Compos. Struct. 71, 258–270 (2005).

    Article  Google Scholar 

  6. S. S. Kurennov, “A Simplified Two-Dimensional Model of Adhesive Joints. Nonuniform Load,” Mech. Composite Mater. 51 (4), 479–488 (2015).

    Article  ADS  Google Scholar 

  7. S. S. Kurennov and E. V. Tanchik, “Calculation of the Stress State of an Adhesive Joint of Rectangular Plates of a Varying Width,” Vestn. Mosk. Aviats. Inst. 22 (2), 162–169 (2015).

    Google Scholar 

  8. S. S. Kurennov, “Stress State of Plates of a Varying Width. Approximate Theory and Experiment,” Visnik Zaporizkogo Nats. Univ., No. 1, 235–244 (2017).

  9. V. V. Vasil’ev and Yu. V. Bokov, “Study of the Stress State of an Adhesive Joint of a Composite Material with a Metal Sheet,” in Design, Calculation, and Testing of Structures Made of Composite Materials, Vol. 7 (Central Aerohydrodynamic Institute, Moscow, 1979) [in Russian].

    Google Scholar 

  10. V. V. Vasil’ev and S. A. Lur’e, “Singularity in the Solution of a Plane Problem of the Elasticity Theory for a Cantilever Strip,” Izv. Ross. Akad. Nauk, Mekh. Tv. Tela, No. 4, 40–49 (2013).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. S. Kurennov.

Additional information

Original Russian Text © S.S. Kurennov.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 4, pp. 174–182, July–August, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kurennov, S.S. Determining Stresses in an Adhesive Joint with a Longitudinal Unadhered Region Using a Simplified Two-Dimensional Theory. J Appl Mech Tech Phy 60, 740–747 (2019). https://doi.org/10.1134/S0021894419040199

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894419040199

Keywords

Navigation