Acta Mechanica Solida Sinica

, Volume 24, Issue 6, pp 519–526 | Cite as

Analytical Analysis of Interfacial Stresses in FRP-RC Hybrid Beams with Time-Dependent Deformations of RC Beam

  • Bouazza Fahsi
  • Kouider Halim Benrahou
  • Baghdad Krour
  • Abdeloauhed Tounsi
  • Samir Benyoucef
  • El Abbas Adda Bedia


In this paper, the effect of time-dependent deformations (such as shrinkage and creep) on the interfacial stresses between an RC beam and FRP plate is presented. For this end, a closed-form solution for such stresses in externally FRP plated RC beams including creep and shrinkage effects is presented. The developed model is formulated to predict the interfacial stresses at time ‘t’, in which the RC beams have been already subjected to creep and shrinkage effects. The adherend shear deformations have been included in the present theoretical analysis by assuming a parabolic shear stress through the thickness of the RC beam and the FRP panel. Contrary to some existing studies, the assumption that both RC beam and FRP panel have the same curvature is not used in the present investigation. This research is helpful for the understanding on mechanical behavior of the interface and design of the FRP-RC hybrid structures.

Key words

hybrid structure RC beams FRP composites interfacial stresses creep shrinkage 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Jansze, W., Strengthening of Reinforced RC Members in Bending by Externally Bonded Steel Plates. Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands, 1997.Google Scholar
  2. [2]
    Raithby, K.D., External Strengthening of Concrete Bridges with Bonded Steel Plates. Suppl. Report 612, Transport and Road Research Laboratory, 1975.Google Scholar
  3. [3]
    Hamid, S., Ehsani, M.R. and Jin, L., Repair of earthquake-damaged RC columns with FRP wraps. ACI Structural Journal, 1997, 94(2): 206–215.Google Scholar
  4. [4]
    Meier, U., Bridge repair with high performance composite materials. Materials Technik, 1987, 15: 125–128.Google Scholar
  5. [5]
    Teng, J.G., Cheng, J.F., Smith, S.T. and Lam, L., FRP-Strengthened RC Structures. UK: John Wiley and Sons, 2002.Google Scholar
  6. [6]
    Vilnay, O., The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates. International Journal of Cement Composites Lightweight Concrete, 1988, 10(2): 73–78.CrossRefGoogle Scholar
  7. [7]
    Roberts, T.M., Approximate analysis of shear and normal stress concentrations in adhesive layer of plated RC beams. The Structure Engineering, London, 1989, 67(12): 229–233.Google Scholar
  8. [8]
    Roberts, T.M. and Haji-Kazemi, H., A theoretical study of the behaviour of reinforced concrete beams strengthened by externally bonded steel plates. Proceedings of Institution of Civil Engineers, Part 2, 1989, 87: 39–55.CrossRefGoogle Scholar
  9. [9]
    Malek, A.M., Saadatmanesh, H. and Ehsani, M.R., Prediction of failure load of RC beams strengthened with FRP plate due to stress concentration at the plate end. ACI Structural Journal, 1998, 95(2): 142–152.Google Scholar
  10. [10]
    Smith, S.T. and Teng, J.G., Interfacial stresses in plated RC beams. Engineering Structures, 2001, 23(7): 857–871.CrossRefGoogle Scholar
  11. [11]
    Yang, Q.S., Peng, X.R. and Kwan, A.K.H., Finite element analysis of interfacial stresses in FRP-RC hybrid beams. Mechanics Research Communications, 2006, 31: 331–340.CrossRefGoogle Scholar
  12. [12]
    Tounsi, A., Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate. International Journal of Solids and Structures, 2006, 43: 4154–4174.CrossRefGoogle Scholar
  13. [13]
    Tounsi, A. and Benyoucef, S., Interfacial stresses in externally FRP plated concrete beams. International Journal of Adhesion & Adhesives, 2007, 27: 207–215.CrossRefGoogle Scholar
  14. [14]
    Tounsi, A., Hassaine Daouadji, T., Benyoucef, S. and Adda bedia, E.A., Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations. International Journal of Adhesion & Adhesives, 2009, 29: 343–351.CrossRefGoogle Scholar
  15. [15]
    Adams, R.D. and Wake, W.C., Structural Adhesive Joints in Engineering. Amsterdam: Elsevier, 1986.Google Scholar
  16. [16]
    Jones, R. and Callinan, R.J., Finite element analysis of patched cracks. Journal of Structural Mechanics, 1979, 7: 107–130.CrossRefGoogle Scholar
  17. [17]
    Tsai, M.Y., Oplinger, D.W. and Morton, J., Improved theoretical solutions for adhesive lap joints. International Journal of Solids and Structures, 1998, 35(12): 1163–1185.CrossRefGoogle Scholar
  18. [18]
    Trost, H. and Wolff, J., Zur wirklichkeitsnahen ermittlung der beanspruchungen in abschnittsweise hergestellten spannbetontragwerken. Bauingenieur, 1970, 45: 155–169.Google Scholar
  19. [19]
    Eurocode 2 Editorial Group, Design of concrete structures, part 1: General rules and rules for buildings. Eurocode No. 2, Brussels, 1991.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  • Bouazza Fahsi
    • 1
  • Kouider Halim Benrahou
    • 1
  • Baghdad Krour
    • 1
    • 2
  • Abdeloauhed Tounsi
    • 1
  • Samir Benyoucef
    • 1
  • El Abbas Adda Bedia
    • 1
  1. 1.Laboratoire des Matériaux et HydrologieUniversitéde Sidi Bel AbbesSidi Bel AbbesAlgérie
  2. 2.Département de Génie CivilUniversitaire Mustapha StambouliMascaraAlgérie

Personalised recommendations