International Journal of Fracture

, Volume 123, Issue 1–2, pp 49–62 | Cite as

On the determination of constitutive properties of adhesive layers loaded in shear – an inverse solution

  • K.S. Alfredsson


A method to determine constitutive properties of thin adhesive layers loaded in shear is presented. The test specimen consists of two adherends joined by the adhesive layer. By loading the specimen antisymmetrically with respect to the adhesive layer a state of pure shear is ensured. To avoid instability the test specimen is designed to give a non-uniform stress distribution in the adhesive layer. This is achieved by using a long specimen loaded at one side. The method is based on an exact inverse solution which is derived utilizing the balance of the energetic forces of the applied loads and of the adhesive at the start of the adhesive layer. The method is intended for determination of both hardening and softening behaviour of adhesives but is confined to monotonic loading.

Adhesive constitutive behaviour inverse solution strain softening test method thin layer. 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Adams, R.D., Comyn, J. and Wake, W.C. (1997). Structural Adhesive Joints in Engineering, second edition. Chapman and Hall, London.Google Scholar
  2. Alfredsson, K.S. (2003). On the instantaneous energy release rate of the end-notch flexure adhesive joint specimen. Submitted.Google Scholar
  3. Alfredsson, K.S., Biel, A. and Leffler, K. (2003). An experimental method to determine the complete stressdeformation relation for a structural adhesive layer loaded in shear. In: Proceedings of the 9th International Conference on the Mechanical Behaviour of Materials.Google Scholar
  4. Alfredsson, K.S. and Stigh, U. (1997). A method to determine constitutive properties of thin interface layers loaded in shear. In: Advances in Fracture Research - Proceedings of ICF9 (Edited by B.L. Karihaloo, Y.-W. Mai and M.I. Ripley) Pergamon, Amsterdam, 2667-2674.Google Scholar
  5. Andersson, T. and Stigh, U. (2003). The stress-elongation relation for an adhesive layer loaded in peel using equilibrium of energetic forces. In press.Google Scholar
  6. Carlsson, L.A., Gillespie, J.W. and Pipes, R.B. (1986). On the analysis and design of the end notched flexure (ENF) specimen for mode II testing. Journal of Composite Materials 20, 594-604.Google Scholar
  7. Chai, H. and Chiang, M.Y.M. (1996). A crack propagation criterion based on local shear strain in adhesive bonds subjected to shear. Journal of the Mechanics and Physics of Solids 44, 1669-1689.Google Scholar
  8. Chai, H. and Mall, S. (1988). Design aspects of the end-notch adhesive joint specimen. International Journal of Fracture 36, R3-R8.Google Scholar
  9. Eshelby, J.D. (1951). The force on an elastic singularity. Philosophical Transactions of the Royal Society of London A244, 87-112.Google Scholar
  10. Fung, Y.C. (1965). Foundations of Solid Mechanics, Prentice Hall, Englewood Cliffs, NJ.Google Scholar
  11. Goland, M. and Reissner, E. (1944). The stresses in cemented joints. Journal of Applied Mechanics 66, A17-A27.Google Scholar
  12. Kinloch, A.J. (1987). Adhesion and Adhesives - Science and Technology, Chapman and Hall, London.Google Scholar
  13. Klarbring, A. (1991). Derivation of a model of adhesively bonded joints by the asymptotic expansion method. International Journal of Engineering Science 29, 493-512.Google Scholar
  14. Olsson, P. and Stigh, U. (1989). On the determination of the constitutive properties of thin interface layers - an exact inverse solution. International Journal of Fracture 41, R71-R76.Google Scholar
  15. Rice, J.R. (1968). A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics 35, 379-386.Google Scholar
  16. Stigh, U. (1988). Damage and crack growth analysis of the double cantilever beam specimen. International Journal of Fracture 37, R13-R18.Google Scholar
  17. Stigh, U. and Andersson, T. (2000). An experimental method to determine the complete stress-elongation relation for a structural adhesive layer loaded in peel. In: Proceedings of the 2nd ESIS TC4 Conference on Polymers and Composites (Edited by G.J. Williams), Les Diablerets, Switzerland, 297-306.Google Scholar
  18. Tong, L. (1998). Strength of adhesively bonded single-lap and lap-shear joints. International Journal of Solids and Structures 35, 2601-2616.Google Scholar
  19. Ungsuwarungsri, T. and Knauss, W.G. (1987). The role of damage-softened material behaviour in the fracture of composites and adhesives. International Journal of Fracture 35, 221-241.Google Scholar
  20. Wernersson, H. (1994). Fracture characterization of wood adhesive joints. Ph.D.-Thesis, Lund Institute of Technology, Division of Structural Mechanics. Report TVSM-1006, Lund, Sweden.Google Scholar
  21. Wernersson, H. and Gustafsson, P.J. (1987). The complete stress-slip curve of wood adhesives in pure shear. In: Mechanical Behaviour of Adhesive Joints (Edited by G. Verchery and A.H. Cardon) Edition Pluralis, Paris, 139-150.Google Scholar
  22. Yang, Q.D., Thouless, M.D. and Ward, S.M. (1999). Numerical simulations of adhesively-bonded beams failing with extensive plastic deformation. Journal of the Mechanics and Physics of Solids 47, 1337-1353.Google Scholar

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • K.S. Alfredsson
    • 1
  1. 1.Department of Engineering ScienceUniversity of SkövdeSkövdeSweden

Personalised recommendations