Skip to main content
Log in

Interface models for thin interfacial layers

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

There have already been several interface models for the analyses of thin interfacial layers in bonded materials. To distinguish their corresponding advantages or limitations, a comparative study is carried out, and a new constitutive-based interface model is proposed. Through numerical examinations, the limitations of typical models are clarified. It is found that the new interface model is an efficient and accurate model, by which both the traction and the displacement jumps across the modelled interface with the thickness of zero are allowed, and the stresses within the interfacial layer can also be analyzed.

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. Rizzoni, R., Dumont, S., Lebon, F., and Sacco, E, Higher order model for soft and hard elastic interfaces. Higher order model for soft and hard elastic interfaces 51, 4137–4148 (2014)

    Google Scholar 

  2. Lebon, F. and Rizzoni, R, Asymptotic analysis of a thin interface: the case involving similar rigidity. Asymptotic analysis of a thin interface: the case involving similar rigidity 48, 473–486 (2010)

    MathSciNet  MATH  Google Scholar 

  3. Lebon, F., Khaoua, A. O., and Licht, C, Numerical study of soft adhesively bonded joints in finite elasticity. Numerical study of soft adhesively bonded joints in finite elasticity 21, 134–140 (1998)

    MATH  Google Scholar 

  4. Dundurs, J. Micromechanics and Inhomogeneity, Springer-Verlag, Berlin, 109–114 (1990)

    Book  Google Scholar 

  5. Xu, J. Q. The Mechanics of Interface (in Chinese), Science Publication, Beijing (2006)

    Google Scholar 

  6. Benveniste, Y. A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. Journal of the Mechanics and Physics of Solids, 54, 708–734 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. Corigliano, A, Formulation, identification and use of interface models in the numerical analysis of composite delamination. Formulation, identification and use of interface models in the numerical analysis of composite delamination 30, 2779–2811 (1993)

    MATH  Google Scholar 

  8. Benveniste, Y. and Miloh, T, Imperfect soft and stiff interfaces in two-dimensional elasticity. Imperfect soft and stiff interfaces in two-dimensional elasticity 33, 309–323 (2001)

    Google Scholar 

  9. Elices, M., Guinea, G. V., Gomez, J., and Planas, J, The cohesive zone model: advantages, limitations and challenges. The cohesive zone model: advantages, limitations and challenges 69, 137–163 (2002)

    Google Scholar 

  10. Valoroso, N., Sessa, S., Lepore, M., and Cricri, G, Identification of mode-I cohesive parameters for bonded interfaces based on DCB test. Identification of mode-I cohesive parameters for bonded interfaces based on DCB test 104, 56–79 (2013)

    Google Scholar 

  11. Özdemir, I., Brekelmans, W. A. M., and Geers, M. G. D. A thermo-mechanical cohesive zone model. #, 46, 735–745 (2010)

  12. Rabinovitch, O, An extended high-order cohesive interface approach to the debonding analysis of FRP strengthened beams. An extended high-order cohesive interface approach to the debonding analysis of FRP strengthened beams 81, 1–16 (2014)

    Google Scholar 

  13. Cai, X. J. and Xu, J. Q, Interfacial fracture criteria based on the nominal deformation energy of interface. Interfacial fracture criteria based on the nominal deformation energy of interface 75, 16–21 (2014)

    Google Scholar 

  14. Yuuki, R. and Kisu, H. Elastic Analysis Based on Boundary Element Analysis, Baifukan, Tokyo (1987)

    MATH  Google Scholar 

  15. Bogy, D. B, Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading 35, 460–466 (1968)

    MATH  Google Scholar 

  16. Yuuki, R. and Xu, J. Q, Boundary element analysis of dissimilar materials and interface crack. Boundary element analysis of dissimilar materials and interface crack 14, 116–127 (1994)

    Google Scholar 

  17. Xu, J. Q., Fu, L. D., and Mutoh, Y. A method for determining elastic-plastic stress singularity at the interface edge of bonded power law hardening materials. JSME International Journal Series A, 45, 177–183 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinquan Xu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10632040)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cai, X., Xu, J. Interface models for thin interfacial layers. Appl. Math. Mech.-Engl. Ed. 37, 707–724 (2016). https://doi.org/10.1007/s10483-016-2084-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-016-2084-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation