DOI QR코드

DOI QR Code

Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate

  • 투고 : 2018.05.02
  • 심사 : 2018.07.23
  • 발행 : 2018.03.25

초록

In this paper, a closed-form rigorous solution for interfacial shear stress in simply supported beams strengthened with bonded prestressed E-FGM plates and subjected to an arbitrarily positioned single point load, or two symmetric point loads is developed using linear elastic theory. This improved solution is intended for application to beams made of all kinds of materials bonded with a thin plate, while all existing solutions have been developed focusing on the strengthening of reinforced concrete beams, which allowed the omission of certain terms. The theoretical predictions are compared with other existing solutions. Finally, numerical results from the present analysis are presented to study the effects of various parameters of the beams on the distributions of the interfacial shear stresses. The results of this study indicated that the E-FGM plate strengthening systems are effective in enhancing flexural behavior of the strengthened RC beams.

키워드

과제정보

연구 과제 주관 기관 : 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)

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., Hassaine Daouadji, T. and Adda, B. (2016), "Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions", Smart Struct. Syst., 18(2), 267-291. https://doi.org/10.12989/sss.2016.18.2.267
  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., Abbas, B. and Rabahi, A. (2016a), "Buckling and free vibration analysis of laminated composite plates using an efficient and simple higher order shear deformation theory", J. Mech. Industry, 17(5), 512. https://doi.org/10.1051/meca/2015112
  5. Al-Emrani, M. and Kliger, R. (2006), "Analysis of interfacial shear stresses in beams strengthened with bonded prestressed laminates", J. Compos. Part B, 37(4-5), 265-272. https://doi.org/10.1016/j.compositesb.2006.01.004
  6. Ashraful, 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
  7. 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
  8. Belabed, Z., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate", Earthq. Struct., 14(2), 103-115. https://doi.org/10.12989/EAS.2018.14.2.103
  9. Belkacem, A. and Hassaine Daouadji, T. (2016b), "Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory", Adv. Mater. Res., 5(4), 223-244. https://doi.org/10.12989/amr.2016.5.4.223
  10. Belkacem, A., Hassaine Daouadji, T., Abderrezak, R., Amine, B.M., Mohamed, Z. 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
  11. 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
  12. Benchohra, M., Driz, H., Bakora, A., Tounsi, A., Bedia, E.A.A. and Hassan, S. (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
  13. Benferhat, R., Hassaine Daouadji, T. and Mansour, M.S. (2015), "A higher order shear deformation model for bending analysis of functionally graded plates," Trans. Indian Inst. Met., 68(1), 7-16. https://doi.org/10.1007/s12666-014-0428-1
  14. 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 Mecanique, 344(9), 631-641. https://doi.org/10.1016/j.crme.2016.03.002
  15. Benyoucef, S., Tounsi, A., Meftah, S.A. and Adda-Bedia, E.A. (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
  16. 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.
  17. Bouhadra, A., Tounsi, A., Bousahla, A.A., Benyoucef, S. and Mahmoud, S.R. (2018), "Improved HSDT accounting for effect of thickness stretching inadvanced composite plates", Struct. Eng. Mech., 66(1), 61-73. https://doi.org/10.12989/SEM.2018.66.1.061
  18. Chaded, A., Hassaine Daouadji, T., Rabahi, A., Adim, B., Abbes, B., Benferhat, R. and Fazilay, A. (2018), "A high-order closed-form solution for interfacial stresses in externally sandwich FGM plated RC beams", Adv. Mater. Res., 6(4), 317-328.
  19. Chen, W., Pham, T.M., Sichembe, H., Chen, L. and Hao, H., (2018), "Experimental study of flexural behaviour of RC beams strengthened by longitudinal and U-shaped basalt FRP sheet", Compos. Part B Eng., 134, 114-126 https://doi.org/10.1016/j.compositesb.2017.09.053
  20. 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
  21. Fourn, H., Atmane, H.A., Bourada, M., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel four variable refined plate theory for wave propagation in functionally graded material plates", Steel Compos. Struct., 27(1), 109-122. https://doi.org/10.12989/SCS.2018.27.1.109
  22. Fu, B., Teng, J.G., Chen, G.M., Chen, J.F. and Guo, Y.C. (2018), "Effect of load distribution on IC debonding in FRP-strengthened RC beams: Full-scale experiments", Compos. Struct., 188, 483-496. https://doi.org/10.1016/j.compstruct.2018.01.026
  23. Guenaneche, B., Tounsi, A., Bedia, E.A.A. (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
  24. Hachemi, H., Kaci, A., Houari, M.S.A., Bourada, M., Tounsi, A. and Mahmoud, S.R. (2017), "A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations", Steel Compos. Struct., 25(6), 717-726. https://doi.org/10.12989/SCS.2017.25.6.717
  25. Hadji, L., Hassaine Daouadji, T. and Bedia, E.A.A. (2015), "A refined exponential shear deformation theory for free vibration of FGM beam with porosities", Geomech. Eng., 9(3), 361-372. https://doi.org/10.12989/gae.2015.9.3.361
  26. Hassaine Daouadji, T. (2013b), "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
  27. 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
  28. 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
  29. 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", Adhes. Sci. Technol., 30(12), 1253-1280. https://doi.org/10.1080/01694243.2016.1140703
  30. Hassaine Daouadji, T., Tounsi, A. and Bedia, E.A.A. (2013a), "Analytical solution for bending analysis of functionally graded plates", Scientia Iranica, Trans. B Mech. Eng., 20(3), 516-523.
  31. Jadooe, A., Al-Mahaidi, R. and Abdouka, K. (2018) "Performance of heat-damaged partially-insulated RC beams strengthened with NSM CFRP strips and epoxy adhesive", Construct. Build. Mater., 159, 617-634. https://doi.org/10.1016/j.conbuildmat.2017.11.020
  32. Khelifa, 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
  33. 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.
  34. Mahi, B.E., Benrahou, K.H., Belakhdar, K. Tounsi, A. and Bedia, E.A.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.
  35. 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
  36. Mokhtar, Y., Heireche, H., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory", Smart Struct. Syst., 21(4), 397-405. https://doi.org/10.12989/SSS.2018.21.4.397
  37. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metallurgica, 21(5), 571-574. https://doi.org/10.1016/0001-6160(73)90064-3
  38. Mouffoki, A., Bedia, E.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory", Smart Struct. Syst., 20(3), 369-383. https://doi.org/10.12989/SSS.2017.20.3.369
  39. Rabahi, A., Hassaine Daouadji, T., Abbes, B. and Adim, B. (2016), "Analytical and numerical solution of the interfacial stress in reinforced-concrete beams reinforced with bonded prestressed composite plate", J. Reinf. Plast. Comp., 35(3), 258-272. https://doi.org/10.1177/0731684415613633
  40. Rabahi, A., Hassaine Daouadji, T., Benferhat, R. and Adim, B. (2018), "Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage", Adv. Mater. Res., 6(3), 257-278. https://doi.org/10.12989/AMR.2017.6.3.257
  41. 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.
  42. 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)
  43. Shen, K., Wan, S., Mo, Y.L. and Jiang, Z. (2018), "Theoretical analysis on full torsional behavior of RC beams strengthened with FRP materials", Compos. Struct., 183, 347-357. https://doi.org/10.1016/j.compstruct.2017.03.084
  44. 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
  45. 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
  46. Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", J. Solids Struct., 43(14-15), 4154-4174. https://doi.org/10.1016/j.ijsolstr.2005.03.074
  47. Tounsi, A., Hassaine Daouadji, T., Benyoucef, S. and Bedia, E.A.A. (2008), "Interfacial stresses in FRPplated RC beams: Effect of adherend shear deformations", J. Adhesion Adhesives, 29(4), 343-351.
  48. 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
  49. 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
  50. 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(1), 13-30. https://doi.org/10.1016/j.ijmecsci.2009.09.041
  51. 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
  52. Yang, X., Gao, W.Y., Dai, J.H., Lu, Z.D. and Yu, K.Q. (2018), "Flexural strengthening of RC beams with CFRP grid-reinforced ECC matrix", Compos. Struct., 189, 9-26. https://doi.org/10.1016/j.compstruct.2018.01.048
  53. Zidani, M.B., Belakhdar, K., Tounsi, A. and Bedia, E.A.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

피인용 문헌

  1. Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates vol.7, pp.2, 2018, 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. Effect of distribution shape of the porosity on the interfacial stresses of the FGM beam strengthened with FRP plate vol.16, pp.5, 2018, https://doi.org/10.12989/eas.2019.16.5.601
  4. Predictions of the maximum plate end stresses of imperfect FRP strengthened RC beams: study and analysis vol.9, pp.4, 2018, https://doi.org/10.12989/amr.2020.9.4.265
  5. Thermo-mechanical behavior of porous FG plate resting on the Winkler-Pasternak foundation vol.9, pp.6, 2018, https://doi.org/10.12989/csm.2020.9.6.499
  6. Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions vol.9, pp.6, 2020, https://doi.org/10.12989/csm.2020.9.6.575
  7. Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity vol.77, pp.2, 2018, https://doi.org/10.12989/sem.2021.77.2.217
  8. Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity vol.10, pp.1, 2018, https://doi.org/10.12989/csm.2021.10.1.061
  9. Analysis on the buckling of imperfect functionally graded sandwich plates using new modified power-law formulations vol.77, pp.6, 2018, https://doi.org/10.12989/sem.2021.77.6.797
  10. Modeling and analysis of the imperfect FGM-damaged RC hybrid beams vol.6, pp.2, 2018, https://doi.org/10.12989/acd.2021.6.2.117
  11. New solution for damaged porous RC cantilever beams strengthening by composite plate vol.10, pp.3, 2018, https://doi.org/10.12989/amr.2021.10.3.169