Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads

  • Received : 2018.03.13
  • Accepted : 2018.04.12
  • Published : 2018.08.25
⟨ Previous Next ⟩

Abstract

This study presents a new beam-column model comprising material nonlinearity and joint flexibility to predict the nonlinear response of reinforced concrete structures. The nonlinear behavior of connections has an outstanding role on the nonlinear response of reinforced concrete structures. In presented research, the joint flexibility is considered applying a rotational spring at each end of the member. To derive the moment-rotation behavior of beam-column connections, the relative rotations produced by the relative slip of flexural reinforcement in the joint and the flexural cracking of the beam end are taken into consideration. Furthermore, the considered spread plasticity model, unlike the previous models that have been developed based on the linear moment distribution subjected to lateral loads includes both lateral and gravity load effects, simultaneously. To confirm the accuracy of the proposed methodology, a simply-supported test beam and three reinforced concrete frames are considered. Pushover and nonlinear dynamic analysis of three numerical examples are performed. In these examples the nonlinear behavior of connections and the material nonlinearity using the proposed methodology and also linear flexibility model with different number of elements for each member and fiber based distributed plasticity model with different number of integration points are simulated. Comparing the results of the proposed methodology with those of the aforementioned models describes that suggested model that only uses one element for each member can appropriately estimate the nonlinear behavior of reinforced concrete structures.

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. Abaqus Guide Version 6.7 (2007), Computer Software for Interactive Finite Element Analysis by Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI.
  2. 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
  3. 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
  4. 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
  5. 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", J. Mech. Industry, 17(5), 512. https://doi.org/10.1051/meca/2015112
  6. Al-Emrani, M. and Kliger, R. (2006), "Analysis of interfacial shear stresses in beams strengthened with bonded prestressed laminates", Compos. Part B: Eng., 37(4-5), 265-272. https://doi.org/10.1016/j.compositesb.2006.01.004
  7. Ashraful, A. and Al Riyami, R. (2018), "Shear strengthening of reinforced concrete beam using natural fibre reinforced polymer laminates", Constr. 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. 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
  10. 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
  11. 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
  12. 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
  13. 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. Interf., 13(7), 561-571. https://doi.org/10.1163/156855406778440758
  14. 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., 19(2), 115-126. https://doi.org/10.12989/sss.2017.19.2.115
  15. 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.
  16. 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
  17. Chikh, A., Tounsi, A., Hebali, H. and Mahmoud, S.R. (2017), "Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT", Smart Struct. Syst., 19(3), 289-297. https://doi.org/10.12989/sss.2017.19.3.289
  18. 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. Adhes. Sci. Technol., 30(12), 1253-1280. https://doi.org/10.1080/01694243.2016.1140703
  19. 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., 11(5), 671-690. https://doi.org/10.12989/gae.2016.11.5.671
  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. 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
  22. Guenaneche, B. and Tounsi, A. (2014), "Effect of shear deformation on interfacial stress analysis in plated beams under arbitrary loading", Adhes. Adhesiv., 48, 1-13. https://doi.org/10.1016/j.ijadhadh.2013.09.016
  23. 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", Constr. Build. Mater., 159, 617-634. https://doi.org/10.1016/j.conbuildmat.2017.11.020
  24. 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.
  25. Kaci, A., Houari, M.S.A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Post-buckling analysis of shear-deformable composite beams using a novel simple two-unknown beam theory", Struct. Eng. Mech., 65(5), 621-631. https://doi.org/10.12989/SEM.2018.65.5.621
  26. 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.
  27. Mahi, A. and 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. Model., 39, 2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
  28. Mahi, B.E., Benrahou, K.H., Belakhdar, K., Tounsi, A. and Bedia, E.A. (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. Mazars, J. (1984), "Application de la mecanique de l'endommagement au comportement non lineaire et a la rupture du beton de structure", These de Doctorat d'etat, Universite Paris 6.
  30. Mazars, J.G. and Pijaudier-Cabot, G. (1996), "From damage to fracture mechanics and conversely: a combined approach", Int. J. Solid. Struct., 33, 3327-3342. https://doi.org/10.1016/0020-7683(96)00015-7
  31. Meier, U. (1995), "Strengthening of structures using carbon fibre/epoxy composites", Constr. Build. Mater., 9(6), 341-51. https://doi.org/10.1016/0950-0618(95)00071-2
  32. 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
  33. 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
  34. 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. Reinf. Plast. Compos., 35(3), 258-272. https://doi.org/10.1177/0731684415613633
  35. 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
  36. 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.
  37. Roberts, T.M. and Haji-Kazemi, H. (1989), "Theoretical study of the behavior of reinforced concrete beams strengthened by externally bonded steel plates", Proc. Inst. Civil Eng., 87(Part2), 39-55
  38. Shen, H.S., Teng, J.G. and Yang, J. (2001), "Interfacial stresses in beams and slabs bonded with thin plate", J. Eng. Mech., ASCE, 127(4), 399-406. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(399)
  39. 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
  40. 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
  41. Thai, H.T. and Kim, S.E. (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
  42. 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
  43. Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", Int. J. Solid. Struct., 43, 4154-4174. https://doi.org/10.1016/j.ijsolstr.2005.03.074
  44. Tounsi, A., Hassaine Daouadji, T., Benyoucef, S. and Adda bedia, E.A. (2008), "Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations", Int. J. Adhes. Adhesiv., 29(4), 343-351.
  45. Tounsi, A., Houari, M.S.A. and Benyoucef, S. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220. https://doi.org/10.1016/j.ast.2011.11.009
  46. 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
  47. 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
  48. Yang, J. and Wu, Y.F. (2007), "Interfacial stresses of FRP strengthened concrete beams: Effect of shear deformation", Compos. Struct., 80, 343-351. https://doi.org/10.1016/j.compstruct.2006.05.016
  49. Yang, J. and Ye, J. (2010), "An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach", Int. J. Mech. Sci., 52, 13-30 https://doi.org/10.1016/j.ijmecsci.2009.09.041
  50. Yang, J., Ye, J. and Niu, Z. (2007), "Interfacial shear stress in FRP-plated RC beams under symmetric loads", Cement Concrete Compos., 29, 421-432 https://doi.org/10.1016/j.cemconcomp.2006.11.011
  51. Yang, X., Gao, W.Y., Dai, J.G., 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
  52. Zidani, M.B., Belakhdar, K., Tounsi, A. and Adda Bedia, E.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

Cited by

  1. Investigating loading rate and fibre densities influence on SRG - concrete bond behaviour vol.34, pp.6, 2020, https://doi.org/10.12989/scs.2020.34.6.877
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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