DOI QR코드

DOI QR Code

Effect of shear deformation on adhesive stresses in plated concrete beams: Analytical solutions

  • Touati, Mahmoud (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Benguediab, Mohamed (Departement de Mecanique, Faculte de Technologie, Universite de Sidi Bel Abbes)
  • Received : 2014.12.07
  • Accepted : 2014.02.11
  • Published : 2015.03.25

Abstract

In this scientific work, an improved analytical solution for adhesive stresses in a concrete beam bonded with the FRP plate is developed by including the effect of the adherend shear deformations. The analysis is based on the deformation compatibility approach where both the shear and normal stresses are assumed to be invariant across the adhesive layer thickness. The shear stress distribution is supposed to be parabolic across the depth of the adherends in computing the adhesive shear stress and Timoshenko's beam theory is employed in predicting adhesive normal stress to consider the shear deformation. Numerical results from the present analysis are presented both to demonstrate the advantages of the present solution over existing ones and to illustrate the main characteristics of adhesive stress distributions.

Keywords

References

  1. Adams, R.D. and Wake, W.C. (1986), "Structural adhesive joints in engineering", Amsterdam: Elsevier, 1986.
  2. Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. https://doi.org/10.1177/1099636214526852
  3. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Composites: Part B, 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
  4. Belakhdar, K., Tounsi, A.,Adda Bedia E. and Redha, Y., (2011), "Effect of tapered-end shape of FRP sheets on stress concentration in strengthened beams", Steel Compos. Struct., 11(6), 435-454. https://doi.org/10.12989/scs.2011.11.6.435
  5. Benachour, A., Benyoucef, S., Tounsi, A. and Adda bedia, E.A. (2008), "Interfacial stress analysis of steel beams reinforced with bonded prestressed FRP plate", Eng. Struct., 30, 3305-3315. https://doi.org/10.1016/j.engstruct.2008.05.007
  6. Berrabah, H.M., Tounsi, A., Semmah, A. and Adda Bedia, E.A. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., 48(3), 351 - 365. https://doi.org/10.12989/sem.2013.48.3.351
  7. Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013) "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85 - 104. https://doi.org/10.12989/scs.2013.14.1.085
  8. Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409 - 423. https://doi.org/10.12989/scs.2015.18.2.409
  9. Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Method, 11(6), 1350082. https://doi.org/10.1142/S0219876213500825
  10. Cadei, J.M.C., Stratford, T.J., Hollaway, L.C. and Duckett, W.G. (2004), "C595-Strengthening metallic structures using externally-bonded fibre-reinforced-polymers", London: CIRIA; 2004.
  11. Cai, C.S., Nie, J. and Shi, X.M. (2007), "Interface slip effect on bonded plate repairs of concrete beams", Eng. Struct., 29,1084-1095. https://doi.org/10.1016/j.engstruct.2006.07.017
  12. Draiche, K., Tounsi, A. and Khalfi, Y. (2014), "A trigonometric four variable plate theory for free vibration of rectangular composite plates with patch mass", Steel Compos. Struct., 17(1), 69-81. https://doi.org/10.12989/scs.2014.17.1.069
  13. Guenaneche, B., Tounsi, A. and Adda Bedia, E.A. (2014), "Effect of shear deformation on interfacial stress analysis in plated beams under arbitrary loading", International Journal of Adhesion and Adhesives, 48, 1-13. https://doi.org/10.1016/j.ijadhadh.2013.09.016
  14. Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5- unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235 - 253. https://doi.org/10.12989/scs.2015.18.1.235
  15. Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", ASCE J. Eng. Mech., 140, 374 - 383. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665
  16. Jones, R. and Callinan, R.J. (1979), "Finite element analysis of patched cracks", J. Struct. Mech., 7, 107-130. https://doi.org/10.1080/03601217908905315
  17. Jones, K.R, Swamy, R.N. and Charif, A. (1988), "Plate separation and anchorage of reinforced concrete beams strengthened by epoxy bonded steel plates", Struct. Eng., 66(5/1), 85-94.
  18. Khalfi, Y., Houari, M.S.A. and Tounsi, A. (2014), "A refined and simple shear deformation theory for thermal buckling of solar functionally graded plates on elastic foundation" Int. J. Comput. Method, 11(5), 135007.
  19. Lee, H.K., Cheong, S.H., Ha, S.K. and Lee, C.G. (2011), "Behavior and performance of RC T-section deep beams externally strengthened in shear with CFRP sheets," Compos. Struct., 93(2), 911-922. https://doi.org/10.1016/j.compstruct.2010.07.002
  20. Leung, CKY. (2001), "Delamination failure in concrete beams retrofitted with a bonded plate", J Mater Civil Eng ASCE, 13(2), 106-113. https://doi.org/10.1061/(ASCE)0899-1561(2001)13:2(106)
  21. Maalej, M. and Bian, Y. (2001), "Interfacial shear stress concentration in FRP strengthened beams", Compos. Struct., 54(4), 417-426. https://doi.org/10.1016/S0263-8223(01)00078-2
  22. Mahi, A., Adda Bedia, E.A., Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Modelling, (In press)
  23. Malek, A.M., Saadatmanesh, H. and Ehsani, M.R. (1998), "Prediction of failure load of R/C beams strengthened with FRP plate due to stress concentration at the plate end", ACI Struct. J., 95(1), 142-152.
  24. Mukhopadhyaya, P. and Swamy, N. (2001), "Interfacial shear stress: a new design criteria for plate debonding", J Compos. Constr., 5, 35-43. https://doi.org/10.1061/(ASCE)1090-0268(2001)5:1(35)
  25. Mukhopadhyaya, P. and Swamy, N. (2001), "shear stress: a new design criteria for plate debonding", J Compos. Constr., 5, 35-43. https://doi.org/10.1061/(ASCE)1090-0268(2001)5:1(35)
  26. Nehdi, M., Omeman, Z. and El-Chabib, H. (2008), "Optimal efficiency factor in strut-and-tie model for FRP-reinforced concrete short beams with (1.5 < a/d < 2.5)," Mater. Struct., 41(10), 1713-1727. https://doi.org/10.1617/s11527-008-9359-9
  27. Panjehpour, M., Ali, A.A.A., Voo, Y.L. and Aznieta, F.N. (2014a), "Effective compressive strength of strut in CFRP-strengthened reinforced concrete deep beams following ACI 318-11", Comput. Concr., 13(1), 135- 165. https://doi.org/10.12989/cac.2014.13.1.135
  28. Panjehpour, M., Ali, A.A.A. and Aznieta, F.N. (2014b), "Energy absorption of reinforced concrete deep beams strengthened with CFRP sheet", Steel Compos. Struct., 16(5), 481-489. https://doi.org/10.12989/scs.2014.16.5.481
  29. Panjehpour, M., Chai, H.K. and Voo, Y.L. (2014c), "Strut deformation in CFRP-strengthened reinforced concrete deep beams", Scientific World J., 2014.
  30. Roberts, T.M. (1989), "Approximate analysis of shear and normal stress concentrations in the adhesive layer of plated RC beams", Struct. Eng., 67(12), 229-233.
  31. Roberts, T.M. and Haji-Kazemi, H. (1989), "Theoretical study of the behavior of reinforced concrete beams strengthened by externally bonded steel plates", Proceedings of the Institution of Civil Engineers, 87(2), 39-55.
  32. Smith, S.T. and Teng, J.G. (2001), "Interfacial stresses in plated beams", Engineering Structures, 23(7), 857-871. https://doi.org/10.1016/S0141-0296(00)00090-0
  33. Taljsten, B. (1997), "Strengthening of beams by plate bonding", J Mater Civil Eng ASCE, 9(4), 206-212. https://doi.org/10.1061/(ASCE)0899-1561(1997)9:4(206)
  34. Teng, J.G., Chen, J.F., Smith, S.T. and Lam, L. (2001), "FRP strengthened RC structures", Chichester, UK: Wiley; 2001.
  35. Teng, J.G., Chen, J.F., Smith, S.T. and Lam, L. (2002), "FRP-strengthened RC. Structures", West Sussex: Wiley; 2002.
  36. Teng, J.G., Zhang, J.W. and Smith, S.T. (2002), "Interfacial stresses in reinforced concrete beams bonded with a soffit plate: a finite element study", Constr. Build. Mater., 16(1), 1-14. https://doi.org/10.1016/S0950-0618(01)00029-0
  37. Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", Int. J. Solids Struct., 43, 4154-4174. https://doi.org/10.1016/j.ijsolstr.2005.03.074
  38. Tounsi, A. and Benyoucef, S. (2007), "Interfacial stresses in externally FRP plated concrete beams", Int. J. Adhes. Adhes., 27, 207-215. https://doi.org/10.1016/j.ijadhadh.2006.01.009
  39. Tounsi, A., Hassaine Daouadji, T., Benyoucef, S. and Adda Bedia, E.A. (2009), "Interfacial stresses in FRP-plated RC beams: effect of adherend shear deformations", Int. J. Adhes. Adhes., 29, 343-351. https://doi.org/10.1016/j.ijadhadh.2008.06.008
  40. Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Tech., 24, 209-220. https://doi.org/10.1016/j.ast.2011.11.009
  41. Triantafillou, T.C. and Deskovic, N. (1991), "Innovative prestressing with FRP sheets: mechanics of short-term behavior", J. Eng. Mech. ASCE, 117(7), 1652-1672. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:7(1652)
  42. Tsai, M.Y., Oplinger, D.W. and Morton, J. (1998), "Improved theoretical solutions for adhesive lap joints", Int. J. Solids Struct., 35(12), 1163-1185. https://doi.org/10.1016/S0020-7683(97)00097-8
  43. Vilnay, O. (1988), "The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates", Int. J. Cement Compos. Light- weight Concrete, 10(2), 73-78. https://doi.org/10.1016/0262-5075(88)90033-4
  44. Ye, J.Q. (2001), "Interfacial shear transfer of RC beams strengthened by bonded composite plates", Cement Concrete Compos, 23, 411-417. https://doi.org/10.1016/S0958-9465(01)00015-4
  45. Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Tech., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001

Cited by

  1. Analytical and numerical solution of the interfacial stress in reinforced-concrete beams reinforced with bonded prestressed composite plate vol.35, pp.3, 2016, https://doi.org/10.1177/0731684415613633
  2. A stress-function variational approach toward CFRP -concrete interfacial stresses in bonded joints vol.9, pp.1, 2015, https://doi.org/10.12989/acc.2020.9.1.043