Advances in materials Research

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage

  • Received : 2017.10.02
  • Accepted : 2018.02.13
  • Published : 2017.09.25
⟨ Previous Next ⟩

Abstract

A simple closed-form solution to calculate the interfacial shear and normal stresses of retrofitted concrete beam strengthened with thin composite plate under mechanical loads including the creep and shrinkage effect has been presented in this paper. In such plated beams, tensile forces develop in the bonded plate, and these have to be transferred to the original beam via interfacial shear and normal stresses. Consequently, debonding failure may occur at the plate ends due to a combination of high shear and normal interfacial stresses. These stresses between a beam and a soffit plate, within the linear elastic range, have been addressed by numerous analytical investigations. Surprisingly, none of these investigations has examined interfacial stresses while taking the creep and shrinkage effect into account. In the present theoretical analysis for the interfacial stresses between reinforced concrete beam and a thin composite plate bonded to its soffit, the influence of creep and shrinkage effect relative to the time of the casting, and the time of the loading of the beams is taken into account. 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 interfacial stress distributions.

Keywords

Acknowledgement

Supported by : French Ministry of Foreign Affairs and International Development (MAEDI), Ministry of National Education, Higher Education and Research (MENESR), Algerian Ministry of Higher Education and Scientific Research (MESRS)

References

  1. Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., Int. J., 25(6), 693-704.
  2. Abdelhak, Z., Hadji, L., Hassaine Daouadji, T. and Adda, B. (2016), "Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions", Smart Struct. Syst., Int. J., 18(2), 267-291. https://doi.org/10.12989/sss.2016.18.2.267
  3. Abualnour, M., Houari, M.S.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2018), "A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates", Compos. Struct., 184, 688-697. https://doi.org/10.1016/j.compstruct.2017.10.047
  4. Adim, B., Hassaine Daouadji, T., and Rabahi, A. (2016a), "A simple higher order shear deformation theory for mechanical behavior of laminated composite plates", Int. J. Adv. Struct. Eng., 8(2), 103-117. https://doi.org/10.1007/s40091-016-0109-x
  5. Adim, B., Hassaine Daouadji, T., Abbes, B. and Rabahi, A. (2016b), "Buckling and free vibration analysis of laminated composite plates using an efficient and simple higher order shear deformation theory", J. Mech. Ind., 17(5), p. 512. https://doi.org/10.1051/meca/2015112
  6. Amara, K.H., Tounsi, A. and Benzair, A. (2005), "Transverse cracking and elastic properties reduction in hygrothermal aged crossply laminates", Mater. Sci. Eng. A, 396(1-2), 369-375. https://doi.org/10.1016/j.msea.2005.02.006
  7. Ameur, M., Tounsi, A., Benyoucef, S., Bouiadjra, M.B. and Bedia, E.A. (2009), "Stress analysis of steel beams strengthened with a bonded hygrothermal aged composite plate", Int. J. Mech. Mater., 5(2), 143-156. https://doi.org/10.1007/s10999-008-9090-2
  8. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Beg, O.A. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B, 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
  9. Bellifa, H., Bakora, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2017), "An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates", Steel Compos. Struct., Int. J., 25(3), 257-270.
  10. Benferhat, R., Hassaine Daouadji, T., and Mansour, M.S. (2016), "Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory", Comptes Rendus Mécanique, 344(9), 631-641. https://doi.org/10.1016/j.crme.2016.03.002
  11. Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. https://doi.org/10.1080/15376494.2014.984088
  12. Benyoucef, S., Tounsi, A., Yeghnem, R., Bouiadjra, M.B. and Bedia, E.A. (2014), "An analysis of interfacial stresses in steel beams bonded with a thin composite plate under thermomechanical loading", Mech. Compos. Mater., 49(6), 959-972.
  13. Bouafia, K., Kaci, A., Houari, M.S.A., Benzair, A. and Tounsi, A. (2017), "A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams", Smart Struct. Syst., Int. J., 19(2), 115-126. https://doi.org/10.12989/sss.2017.19.2.115
  14. Bouakaz, K., Hassaine Daouadji, T., Meftah, S.A., Ameur, M., Tounsi, A. and Bedia, E.A. (2014), "A numerical analysis of steel beams strengthened with composite materials", Mech. Compos. Mater., 50(4), 685-696.
  15. 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., Int. J., 18(2), 409-423. https://doi.org/10.12989/scs.2015.18.2.409
  16. 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. Meth., 11(6), 1350082. https://doi.org/10.1142/S0219876213500825
  17. Hassaine Daouadji, T. (2013), "Analytical analysis of the interfacial stress in damaged reinforced concrete beams strengthened by bonded composite plates", Strength Mater., 45(5), 587-597. https://doi.org/10.1007/s11223-013-9496-4
  18. Hassaine Daouadji, T., Benyoucef, S., Tounsi, A., Benrahou, K.H. and Bedia, A.E. (2008), "Interfacial stress concentrations in FRP-damaged RC hybrid beams", Compos. Interf., 15(4), 425-440. https://doi.org/10.1163/156855408784514702
  19. Hassaine Daouadji, T., Henni, A.H., Tounsi, A. and El Abbes, A.B. (2013), "Elasticity solution of a cantilever functionally graded beam", Appl. Compos. Mater., 20(1), 1-15. https://doi.org/10.1007/s10443-011-9243-6
  20. Hassaine Daouadji, T., Benferhat, R. and Adim, B. (2016a), "A novel higher order shear deformation theory based on the neutral surface concept of FGM plate under transverse load", Adv. Mater. Res., 5(2), 107-123. https://doi.org/10.12989/amr.2016.5.2.107
  21. Hassaine Daouadji, T., Hadji, L., Meziane, M.A.A. and Bekki, H. (2016b), "Elastic analysis effect of adhesive layer characteristics in steel beam strengthened with a fiber-reinforced polymer plates", Struct. Eng. Mech., Int. J., 59(1), 83-100. https://doi.org/10.12989/sem.2016.59.1.083
  22. Hassaine Daouadji, T., Rabahi, A., Abbes, B. and Adim, B. (2016c), "Theoretical and finite element studies of interfacial stresses in reinforced concrete beams strengthened by externally FRP laminates plate", J. Adhes. Sci. Technol., 30(12), 1253-1280. https://doi.org/10.1080/01694243.2016.1140703
  23. Draiche, K., Tounsi, A. and Mahmoud, S.R. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., Int. J., 11(5), 671-690. https://doi.org/10.12989/gae.2016.11.5.671
  24. Eurocode 2 Editorial Group (1991), Design of concrete structures, part 1: general rules and rules for buildings; Eurocode No. 2, Brussels.
  25. Guenaneche, B. and Tounsi, A. (2014), "Effect of shear deformation on interfacial stress analysis in plated beams under arbitrary loading", Int. J. Adhes. Adhes., 48, 1-13. https://doi.org/10.1016/j.ijadhadh.2013.09.016
  26. 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., Int. J., 18(1), 235-253. https://doi.org/10.12989/scs.2015.18.1.235
  27. Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", ASCE J. Engineering Mechanics, 140(2), 374-83. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665
  28. Jones, 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), 85-94.
  29. Krour, B., Bernard, F. and Tounsi, A. (2013), "Fibers orientation optimization for concrete beam strengthened with a CFRP bonded plate: A coupled analytical-numerical investigation", Eng. Struct., 56, 218-227. https://doi.org/10.1016/j.engstruct.2013.05.008
  30. Mahi, B.E., Benrahou, K.H., Belakhdar, K., Tounsi, A. and Bedia, E.A. (2014), "Effect of the tapered end of a FRP plate on the interfacial stresses in a strengthened beam used in civil engineering applications" , Mech. Compos. Mater. , 50(4), 465-474.
  31. Meier, U. (1995), "Strengthening of structures using carbon fibre/epoxy composites", Constr. Build. Mater., 9(6), 341-351. https://doi.org/10.1016/0950-0618(95)00071-2
  32. Meziane, M.A.A., 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
  33. Rabahi, A., Adim, B., Chargui, S. and Hassaine Daouadji, T. (2015a), "Interfacial stresses in FRP-plated RC beams: effect of adherend shear deformations", In: Multiphysics Modelling and Simulation for Systems Design and Monitoring, Volume 2, pp. 317-326.
  34. Rabahi, A., Hassaine Daouadji, T., Abbes, B. and Adim, B. (2015b), "Analytical and numerical solution of the interfacial stress in reinforced-concrete beams reinforced with bonded prestressed composite plate", J. Reinf. Plastics Compos., 35(3), 258-272. https://doi.org/10.1177/0731684415613633
  35. Rabinovitch, O. and Frostig, Y. (2001), "Delamination failure of RC beams strengthened with FRP strips: a closed-form high order and fracture mechanics approach", J. Eng. Mech. ASCE, 127(8), 852-861. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:8(852)
  36. Roberts, T.M. and Hajikazemi, H. (1989), "A theoretical study of the behaviour of reinforced concrete beams strengthened by externally bonded steel plates", Proceedings of the Institution of Civil Engineers, 87(1), 39-55.
  37. Shen, H.S., Teng, J.G. and Yang, J. (2001), "Interfacial stresses in beams and slabs bonded with a thin plate", J. Eng. Mech. ASCE, 127(4), 399-406. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(399)
  38. Smith, S.T. and Teng, J.G. (2001), "Interfacial stresses in plated RC beams", Eng. Struct., 23(7), 57-71.
  39. Taljsten, B. (1997), "Strengthening of beams by plate bonding", J. Mater. Civil Eng. ASCE, 9(4), 6-12.
  40. Touati, M., Tounsi, A. and Benguediab, M. (2015), "Effect of shear deformation on adhesive stresses in plated concrete beams: Analytical solutions", Comput. Concrete, Int. J., 15(3), 141-166. https://doi.org/10.12989/cac.2015.15.2.141
  41. Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", Int. J. Solid Struct., 43, 54-74.
  42. Tounsi, A., Hassaine Daouadji, T. and Benyoucef, S. (2009), "Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations", Int. J. Adhes. Adhes., 29(4), 343-351. https://doi.org/10.1016/j.ijadhadh.2008.06.008
  43. Vilnay, O. (1988), "The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates", Int. J. Cement Compos. Lightweight Concrete, 10(2), 73-88. https://doi.org/10.1016/0262-5075(88)90033-4
  44. Yang, J., Teng, J.G. and Chen, J.F. (2003), "A high-order closed-form solution for interfacial stresses in soffit plated RC beams under arbitrary loads", Proceedings of the Institution of Civil Engineers - Struct. Build., 157, 1-13.
  45. Zidani, M.H.B., Belakhdar, K. and Tounsi, A. (2015), "Finite element analysis of initially damaged beams repaired with FRP plates", Compos. Struct., 134, 429-439. https://doi.org/10.1016/j.compstruct.2015.07.124
  46. Zidi, M., Tounsi, A., Houari, M.S.A. and Beg, O.A. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Technol., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001

Cited by

  1. Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates vol.7, pp.2, 2017, https://doi.org/10.12989/amr.2018.7.2.119
  2. Theoretical analysis of chirality and scale effects on critical buckling load of zigzag triple walled carbon nanotubes under axial compression embedded in polymeric matrix vol.70, pp.3, 2019, https://doi.org/10.12989/sem.2019.70.3.269
  3. Predictions of the maximum plate end stresses of imperfect FRP strengthened RC beams: study and analysis vol.9, pp.4, 2017, https://doi.org/10.12989/amr.2020.9.4.265
  4. Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity vol.77, pp.2, 2017, https://doi.org/10.12989/sem.2021.77.2.217
  5. Modeling and analysis of the imperfect FGM-damaged RC hybrid beams vol.6, pp.2, 2017, https://doi.org/10.12989/acd.2021.6.2.117
  6. A new model for adhesive shear stress in damaged RC cantilever beam strengthened by composite plate taking into account the effect of creep and shrinkage vol.79, pp.5, 2017, https://doi.org/10.12989/sem.2021.79.5.531
  7. New solution for damaged porous RC cantilever beams strengthening by composite plate vol.10, pp.3, 2017, https://doi.org/10.12989/amr.2021.10.3.169