Advances in materials Research

  • 제7권2호
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  • Pages.83-103
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  • 2018
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  • 2234-0912(pISSN)
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  • 2234-179X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams

  • 투고 : 2018.09.15
  • 심사 : 2019.02.24
  • 발행 : 2018.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the problem of interfacial stresses in damaged reinforced concrete beams strengthened with bonded prestressed functionally graded material plate and subjected to a uniformly distributed load, arbitrarily positioned single point load, or two symmetric point loads is developed using linear elastic theory. The adopted model takes into account the adherend shear deformations by assuming a linear shear stress through the depth of the damaged RC beam. This solution is intended for application to beams made of all kinds of materials bonded with a thin FGM plate. The results show that there exists a high concentration of both shear and normal stress at the ends of the functionally graded material plate, which might result in premature failure of the strengthening scheme at these locations. Finally, numerical comparisons between the existing solutions and the present new solution enable a clear appreciation of the effects of various parameters of the beams on the distributions of the interfacial stresses.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Foreign Affairs and International Development (MAEDI), Ministry of National Education, Higher Education and Research (MENESR)

참고문헌

  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., 25(6), 693-704. https://doi.org/10.12989/SCS.2017.25.6.693
  2. Abdelhak, Z., Hadji, L., Khelifa, Z., Hassaine daouadji, T. and El Abbes, A.B. (2016), "Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory", Wind Struct., 22(3), 291-305. https://doi.org/10.12989/was.2016.22.3.291
  3. Abualnour, M., Houari, M.S.A., Tounsi, 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., Abbes, B. and Rabahi, A. (2016), "Buckling and free vibration analysis of laminated composite plates using an efficient and simple higher order shear deformation theory", Mech. Industry, 17, 512. https://doi.org/10.1051/meca/2015112
  5. Al-Basyouni, K.S., Tounsi, A. and Mahmoud, S.R. (2015), "Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position", Compos. Struct., 125, 621-630. https://doi.org/10.1016/j.compstruct.2014.12.070
  6. Al-Emrani, M. and Kliger, R. (2006), "Analysis of interfacial shear stresses in beams strengthened with bonded prestressed laminates", J. Compos Part B, 37, 265-272. https://doi.org/10.1016/j.compositesb.2006.01.004
  7. Alam, M.A. and Al Riyami, K. (2018), "Shear strengthening of reinforced concrete beam using natural fibre reinforced polymer laminates", Construct. Build. Mater., 162, 683-696. https://doi.org/10.1016/j.conbuildmat.2017.12.011
  8. Attia, A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2018), "A refined four variable plate theory for thermoelastic analysis of FGM plates resting on variable elastic foundations", Struct. Eng. Mech., 65(4), 453-464. https://doi.org/10.12989/SEM.2018.65.4.453
  9. Bakhadda, B., Bouiadjra, M.B., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., 27(5), 311-324. https://doi.org/10.12989/WAS.2018.27.5.311
  10. Beldjelili, Y., Tounsi, A. and Mahmoud, S.R. (2016), "Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory", Smart Struct. Syst., 18(4), 755-786. https://doi.org/10.12989/sss.2016.18.4.755
  11. Belkacem, A., Hassaine Daouadji, T. and Rabahi, A. (2016), "A simple higher order shear deformation theory for mechanical behavior of laminated composite plates", IJASE, 8(2), 103-117.
  12. Belkacem, A., Hassaine Daouadji, T., Rabahi, A., Benhenni, M.A., Zidour, M. and Boussad, A. (2018), "Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions", Struct. Eng. Mech., 66(6), 761-769. https://doi.org/10.12989/SEM.2018.66.6.761
  13. 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., 25(3), 257-270. https://doi.org/10.12989/SCS.2017.25.3.257
  14. Benchohra, M., Driz, H., Bakora, A., Tounsi, A., El Abbes, A.B. and Mahmoud, S.R. (2018), "A new quasi- 3D sinusoidal shear deformation theory for functionally graded plates", Struct. Eng. Mech., 65(1), 19-31. https://doi.org/10.12989/SEM.2018.65.1.019
  15. Benferhat, R., Daouadji, T.H. 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 Mecanique, 344(9), 631-641 . https://doi.org/10.1016/j.crme.2016.03.002
  16. Benferhat, R., Hassaine Daouadji, T. and Mansour, M.S. (2015), "A Higher Order Shear Deformation Model for Bending Analysis R. of Functionally Graded Plates", Trans. Indian Inst. Met., 68(1), 7-16. https://doi.org/10.1007/s12666-014-0428-1
  17. Benferhat, R., Rabahi, A., Hassaine Daouadji, T., Abbes, B., Adim, B. and Abbes, F. (2018), "Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate", Adv. Mater. Res., 7(1), 29-44. https://doi.org/10.12989/amr.2018.7.1.029
  18. Benhenni, M., Hassaine Daouadji, T., Abbes, B. Li, Y.M. and Abbes, F. (2018) "Analytical and numerical results for free vibration of laminated composites plates", World Academy of Science, Engineering and Technology, J. Chem. Molecular Eng., 12(6), 300-304.
  19. Bensattalah, T., Bouakkaz, K., Zidour, M. and Hassaine Daouadji, T. (2018), "Critical buckling loads of carbon nanotube embedded in Kerr's medium", Adv. Nano Res., 6(4), 339-356. https://doi.org/10.12989/anr.2018.6.4.339
  20. Benyoucef, S., Tounsi, A., Meftah, S.A. and El Abbes, A.B. (2006), "Approximate analysis of the interfacial stress concentrations in FRP-RC hybrid beams", Compos. Interfaces, 13(7), 561-571. https://doi.org/10.1163/156855406778440758
  21. Besseghier, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory", Smart Struct. Syst., 19(6), 601-614. https://doi.org/10.12989/SSS.2017.19.6.601
  22. Bouakaz, K., Hassaine Daouadji, T., Meftah, S.A., Ameur, M. and El Abbes, A.B. (2014), "A numerical analysis of steel beams strengthened with composite materials", Mech. Compos. Mater., 50(4), 685-696.
  23. Bouderba, B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2016), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422. https://doi.org/10.12989/sem.2016.58.3.397
  24. Boukhari, A., Atmane, H.A., Tounsi, A., Adda, B. and Mahmoud, S.R. (2016), "An efficient shear deformation theory for wave propagation of functionally graded material plates", Struct. Eng. Mech., 57(5), 837-859. https://doi.org/10.12989/sem.2016.57.5.837
  25. Bousahla, A.A., Benyoucef, S., Tounsi, A. and Mahmoud, S.R. (2016), "On thermal stability of plates with functionally graded coefficient of thermal expansion", Struct. Eng. Mech., 60(2), 313-335. https://doi.org/10.12989/sem.2016.60.2.313
  26. Chaded, A., Hassaine Daouadji, T., Abderezak, R., Belkacem, A., Abbes, B., Rabia, B. and Abbes, F. (2017), "A high-order closed-form solution for interfacial stresses in externally sandwich FGM plated RC beams", Adv. Mater. Res., 6(4), 317-328. https://doi.org/10.12989/AMR.2017.6.4.317
  27. El-Haina, F., Bakora, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. https://doi.org/10.12989/SEM.2017.63.5.585
  28. El Mahi, K.H.B., Belakhdar, Kh., Tounsi, A. and E.A. Adda Bedia (2014), "Effect of the tapered of the 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.
  29. Elghazy, M., El Refai, A. and Ebead, U. (2017), "Effect of corrosion damage on the flexural performance of RC beams strengthened with FRCM composites", Compos. Struct., 180(15), 994-1006. https://doi.org/10.1016/j.compstruct.2017.08.069
  30. Ge, W.J., Ashour, A.F., Ji, X., Cai, C. and Cao, D.F. (2018), "Flexural behavior of ECC-concrete composite beams reinforced with steel bars", Construct. Build. Mater., 159, 175-188. https://doi.org/10.1016/j.conbuildmat.2017.10.101
  31. Gonzalez-Libreros, J.H., Sneed, L.H. and Pellegrino, C. (2017), "Behavior of RC beams strengthened in shear with FRP and FRCM composites", Eng. Struct., 150(1), 830-842. https://doi.org/10.1016/j.engstruct.2017.07.084
  32. Guenaneche, B., Tounsi, A. and El Abbes, A.B. (2014), "Effect of shear deformation on interfacial stress analysis in plated beams under arbitrary loading", Adhesion Adhesives, 48, 1-13. https://doi.org/10.1016/j.ijadhadh.2013.09.016
  33. Hadi, M.N. and Yuan, J.S. (2017) "Experimental investigation of composite beams reinforced with GFRP Ibeam and steel bars", Construct. Build. Mater., 144(30), 462-474. https://doi.org/10.1016/j.conbuildmat.2017.03.217
  34. Hadji, L., Hassaine Daouadji, T. and Bedia, E.A. (2016), "Dynamic behavior of FGM beam using a new first shear deformation theory", Eartq. Struct., 10(2), 451-461. https://doi.org/10.12989/eas.2016.10.2.451
  35. Hadji, L., Hassaine Daouadji, T., Meziane, M.A.A., Tlidji, Y. and El Abbes, A.B. (2016), "Analysis of functionally graded beam using a new first-order shear deformation theory", Struct. Eng. Mech., 57(2), 315-325. https://doi.org/10.12989/sem.2016.57.2.315
  36. Hadji, L., Khalifa, Z., Hassaine Daouadji, T., Tounsi, A. and El Abbes, A.B. (2015), "Static bending and free vibration of FGM beam using an exponential shear deformation theory", Coupled Syst. Mech., 4(1), 99-114. https://doi.org/10.12989/csm.2015.4.1.099
  37. Hassaine Daouadji, T. (2017), "Analytical and numerical modeling of interfacial stresses in beams bonded with a thin plate", Adv. Comput. Design, 2(1), 57-69. https://doi.org/10.12989/acd.2017.2.1.057
  38. Hassaine Daouadji, T. and Belkacem, A. (2017), "Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory", Struct. Eng. Mech., 61(1), 49-63. https://doi.org/10.12989/sem.2017.61.1.049
  39. Hassaine daouadji, T. and Hadji, L. (2015) "Analytical solution of nonlinear cylindrical bending for functionally graded plates", Geomech. Eng. 9(5), 631-644. https://doi.org/10.12989/gae.2015.9.5.631
  40. Hassaine Daouadji, T., Abdelaziz, H.H., Tounsi, A., 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
  41. Hassaine Daouadji, T., Benferhat, R. and Belkacem, A. (2016), "Bending analysis of an imperfect advanced composite plates resting on the elastic foundations", Coupled Syst. Mech., 5(3), 269-285. https://doi.org/10.12989/csm.2016.5.3.269
  42. Hassaine Daouadji, T., Rabahi, A., Abbes, B. and Adim, B. (2016), "Theoretical and finite element studies of interfacial stresses in reinforced concrete beams strengthened by externally FRP laminates plate", J. Adhesion Sci. Technol., 30(12), 1253-1280. https://doi.org/10.1080/01694243.2016.1140703
  43. 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.
  44. Khalifa, Z., Hadji, L., Hassaine Daouadji, T. and Bourada, M. (2018), "Buckling response with stretching effect of carbon nanotube-reinforced composite beams resting on elastic foundation", Struct. Eng. Mech., 67(2), 125-130. https://doi.org/10.12989/SEM.2018.67.2.125
  45. Khalifa, Z., Hassaine Daouadji, T., Hadji, L., Tounsi, A. and El Abbes, A.B. (2016), " A new higher order shear deformation model of functionally graded beams based on neutral surface position", Transaction. Indian Inst. Metals, 69(3), 683-691. https://doi.org/10.1007/s12666-015-0540-x
  46. Khetir, H., Bouiadjra, M.B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates", Struct. Eng. Mech., 64(4), 391-402. https://doi.org/10.12989/SEM.2017.64.4.391
  47. Krour, B., Bernard, F. and Tounsi, A. (2014), "Fibers orientation optimization for concrete beam strengthened with a CFRP bonded plate: A coupled analytical-numerical investigation", Eng. Struct., 56, 218-227.
  48. Liang, H., Chen, Z., Libo, Y. and Bohumil, K. (2018), "Flexural behavior of U-shape FRP profile-RC composite beams with inner GFRP tube confinement at concrete compression zone", Compos. Struct., 184, 674-687. https://doi.org/10.1016/j.compstruct.2017.10.029
  49. Mazars, J. (1984), "Application de la mecanique de l'endommagement au comportement non lineaire et a la rupture du beton de structure", Ph.D. Dissertation, Universite Paris 6, Paris.
  50. Mazars, J. and Pijaudier-Cabot, G. (1996), "From damage to fracture mechanics and conversely: A combined approach", J. Solid. Struct., 33(20-22), 3327-3342. https://doi.org/10.1016/0020-7683(96)00015-7
  51. Menasria, A., Bouhadra, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plates", Steel Compos. Struct., 25(2), 157-175. https://doi.org/10.12989/SCS.2017.25.2.157
  52. Meyyada, Y.A., Lesley, H.S., Omar, I.A. and ElGawady, A. (2017), "Finite element study on the behavior of RC beams strengthened with PBO-FRCM composite under torsion", Compos. Struct., 179(1), 326-339. https://doi.org/10.1016/j.compstruct.2017.07.079
  53. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metall, 21, 571-574. https://doi.org/10.1016/0001-6160(73)90064-3
  54. Orkun Keskin, R., Arslan, G. and Sengun, K. (2017), "Influence of CFRP on the shear strength of RC and SFRC beams", Construct. Build. Mater., 153, 16-24. https://doi.org/10.1016/j.conbuildmat.2017.06.170
  55. Rabahi, A., Adim, B., Chergui, S. and Hassaine Daouadji, T. (2015), "Interfacial Stresses in FRP-Plated RC Beams: Effect of Adherend Shear Deformations", Multiphysics Modelling and Simulation for Systems Design and Monitoring Applied Condition Monitoring, 2, 317-326 .
  56. Rabahi, A., Hassaine Daouadji, T., Abbes, B. and Adim, B. (2015), "Analytical and numerical solution of the interfacial stress in reinforced-concrete beams reinforced with bonded prestressed composite plate", J. Reinforced Plastics Compos., 35(3), 258-272. https://doi.org/10.1177/0731684415613633
  57. Rabahi, A., Hassaine Daouadji, T., Benferhat, R. and Adim, B. (2018), "Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads", Earthq. Struct., 15(2), 113-122. https://doi.org/10.12989/EAS.2018.15.2.113
  58. 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.
  59. Sallai, B., Hadji, L., Daouadji, T.H. and Adda, B. (2015), "Analytical solution for bending analysis of functionally graded beam", Steel Compos. Struct., 19(4), 829-841. https://doi.org/10.12989/scs.2015.19.4.829
  60. Shen, H.S., Teng, J.G. and Yang, J. (2001), "Interfacial stresses in beams and slabs bonded with thin plate", J. Eng. Mech., 127(4), 399-406. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(399)
  61. Smith, S.T. and Teng, J.G. (2001), "Interfacial stresses in plated beams", Eng. Struct., 23(7), 857-871. https://doi.org/10.1016/S0141-0296(00)00090-0
  62. Tanarslan, H.M. (2017), "Flexural strengthening of RC beams with prefabricated ultra high performance fibre reinforced concrete laminates", Eng. Struct., 151(15), 337-348. https://doi.org/10.1016/j.engstruct.2017.08.048
  63. Tlidji, Y., Daouadji, T.H., Hadji, L., Tounsi, A. and Bedia, E.A.A. (2014), "Elasticity solution for bending response of functionally graded sandwich plates under thermo mechanical loading" J. Thermal Stress, 37, 852-869. https://doi.org/10.1080/01495739.2014.912917
  64. Touati, M., Tounsi A. and Benguediab, M. (2015), "Effect of shear deformation on adhesive stresses in plated concrete beams: Analytical solutions", Comput. Concrete, 15(3), 141-166 https://doi.org/10.12989/cac.2015.15.2.141
  65. Tounsi, A., Hassaine Daouadji, T., Benyoucef, S. and Adda bedia, E.A. (2008) "Interfacial stresses in FRPplated RC beams: Effect of adherend shear deformations", J. Adhesion Adhesives, 29(4), 343-351
  66. Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002
  67. Yahia, S.A., Atmane, H.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143
  68. Yang, J. and Wu, Y.F. (2007), "Interfacial stresses of FRP strengthened concrete beams: Effect of shear deformation", Compos. Struct., 80(3), 343-351. https://doi.org/10.1016/j.compstruct.2006.05.016
  69. Yang, J. and Ye, J. (2010) "An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach", J. Mech. Sci., 52, 13-30. https://doi.org/10.1016/j.ijmecsci.2009.09.041
  70. Yang, J., Ye, J. and Niu, Z. (2007), "Interfacial shear stress in FRP-plated RC beams under symmetric loads", Cement Concrete Compos., 29(5), 421-432. https://doi.org/10.1016/j.cemconcomp.2006.11.011
  71. Yazid, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., 21(1), 15-25. https://doi.org/10.12989/SSS.2018.21.1.015
  72. Yeghnem, R., Guerroudj, H.Z., Amar, L.H.H., Meftah, S.A., Benyoucef, S., Tounsi, A. and Bedia, E.A.A. (2017), "Numerical modeling of the aging effects of RC shear walls strengthened by CFRP plates: A comparison of results from different code type models", Comput. Concrete, 19(5), 579-588. https://doi.org/10.12989/cac.2017.19.5.579
  73. Youcef, D.O., Kaci, A., Benzair, A., Bousahla, A.A. and Tounsi, A. (2018), "Dynamic analysis of nanoscale beams including surface stress effects", Smart Struct. Syst., 21(1), 65-74. https://doi.org/10.12989/SSS.2018.21.1.065
  74. 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
  75. Zine, A., Tounsi, A., Draiche, K., Sekkal, M. and Mahmoud, S.R. (2018), "A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells", Steel Compos. Struct., 26(2), 125-137. https://doi.org/10.12989/SCS.2018.26.2.125

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