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http://dx.doi.org/10.12989/amr.2020.9.4.265

Predictions of the maximum plate end stresses of imperfect FRP strengthened RC beams: study and analysis  

Rabia, Benferhat (Laboratory of Geomatics and sustainable development, University of Tiaret)
Daouadji, Tahar Hassaine (Laboratory of Geomatics and sustainable development, University of Tiaret)
Abderezak, Rabahi (Laboratory of Geomatics and sustainable development, University of Tiaret)
Publication Information
Advances in materials Research / v.9, no.4, 2020 , pp. 265-287 More about this Journal
Abstract
A theoretical method to predict the interfacial stresses in the adhesive layer of reinforced concrete beams strengthened with porous FRP plate is presented in this paper. The effect due to porosity is incorporated utilizing a new modified rule of mixture covering the porosity phases. The adherend shear deformations have been included in the present theoretical analyses by assuming a linear shear stress through the thickness of the adherends. Remarkable effect of the porosity has been noted in the results. Indeed, the resulting interfacial stresses concentrations are considerably smaller than those obtained by other models which neglect the porosity effect. It was found that the interfacial stresses are highly concentrated at the end of the FRP plate, the minimization of the latter can be achieved by using porous FRP plate in particular at the end. It is also shown that the interfacial stresses of the RC beam increase with volume fraction of fibers, but decrease with the thickness of the adhesive layer.
Keywords
interfacial stresses; reinforced concrete beam; porous FRP plate;
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1 Abdelhak, Z., Hadji, L., Khelifa, Z., Hassaine Daouadji, T. and Adda Bedia, E.A. (2016), "Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory", Wind Struct., Int. J., 22(3), 291-305. https://doi.org/10.12989/was.2016.22.3.291   DOI
2 Abderezak, R., Daouadji, T.H., Abbes, B., Rabia, B., Belkacem, A. and Abbes, F. (2017), "Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage", Adv. Mater. Res., Int. J., 6(3), 257-278. https://doi.org/10.12989/amr.2017.6.3.257   DOI
3 Abderezak, R., Daouadji, T.H., Rabia, B. and Belkacem, A. (2018), "Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads", Earthq. Struct., Int. J., 15(2), 113-122. https://doi.org/10.12989/eas.2018.15.2.113   DOI
4 Abderezak, R., Rabia, B., Daouadji, T.H., Abbes, B., Belkacem, A. and Abbes, F. (2019), "Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams", Adv. Mater. Res., Int. J., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.083   DOI
5 Abderezak, R., Daouadji, T.H. and Rabia, B. (2020), "Analysis of interfacial stresses of the reinforced concrete foundation beams repairing with composite materials plate", Coupl. Syst. Mech., Int. J., 9(5), 473-498. http://doi.org/10.12989/csm.2020.9.5.473   DOI
6 Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a four variable trigonometric refined plate theory", Comput. Concrete, Int. J., 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489   DOI
7 Hosseini, A., Ghafoori, E., Al-Mahaidi, R., Zhao, X.L. and Motavalli, M. (2019), "Strengthening of a 19thcentury roadway metallic bridge using nonprestressed bonded and prestressed unbonded CFRP plates", Constr. Build. Mater., 209, 240-259. https://doi.org/10.1016/j.conbuildmat.2019.03.095   DOI
8 Hamrat, M., Bouziadi, F., Boulekbache, B., Daouadji, T.H., Chergui, S., Labed, A. and Amziane, S. (2020), "Experimental and numerical investigation on the deflection behavior of pre-cracked and repaired reinforced concrete beams with fiber-reinforced polymer", Constr. Build. Mater., 249, 118745. https://doi.org/10.1016/j.conbuildmat.2020.118745   DOI
9 Hao, S.W., Liu, Y. and Liu, X.D. (2012), "Improved interfacial stress analysis of a plated beam", Struct. Eng. Mech., Int. J., 44(6), 815-837. https://doi.org/10.12989/sem.2012.44.6.815   DOI
10 Hojatkashani, A. and Kabir, M.Z. (2012), "Interfacial stress assessment at the cracked zones in CFRP retrofitted RC beams", Struct. Eng. Mech., Int. J., 44(6), 705-733. https://doi.org/10.12989/sem.2012.44.6.705   DOI
11 Hussain, M., Naeem, M.N., Khan, M.S. and Tounsi, A. (2020), "Computer-aided approach for modelling of FG cylindrical shell sandwich with ring supports", Comput. Concrete, Int. J., 25(5), 411-425. https://doi.org/10.12989/cac.2020.25.5.411   DOI
12 Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., Bedia, E.A. and Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and Free vibration analysis", Comput. Concrete, Int. J., 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037   DOI
13 Arani, A.G., Khoddami Maraghi, Z., Khani, M. and Alinaghian, I. (2017), "Free vibration of embedded porous plate using third-order shear deformation and poroelasticity theories", J. Eng., 2017. https://doi.org/10.1155/2017/1474916   DOI
14 Addou, F.Y., Meradjah, M., Bousahla, A.A., Benachour, A., Bourada, F., Tounsi, A. and Mahmoud, S.R. (2019), "Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT", Comput. Concrete, Int. J., 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347   DOI
15 Adim, B. and Daouadji, T.H. (2016), "Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory", Adv. Mater. Res., Int. J., 5(4), 223-244. https://doi.org/10.12989/amr.2016.5.4.223   DOI
16 Ahmed, E., Sobuz, H.R. and Sutan, N.M. (2011), "Flexural performance of CFRP strengthened RC beams with different degrees of strengthening schemes", Int. J. Phys. Sci., 6(9), 2229-2238. https://doi.org/10.5897/IJPS11.304   DOI
17 Karami, B., Janghorban, M. and Tounsi, A. (2019), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35, 1297-1316. https://doi.org/10.1007/s00366-018-0664-9   DOI
18 Al-Furjan, M.S.H., Safarpour, H., Habibi, M., Safarpour, M. and Tounsi, A. (2020), "A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-020-01088-7   DOI
19 Alam, M.A. and Al Riyami, K. (2018), "Shear strengthening of reinforced concrete beam using natural fibre reinforced polymer laminates", Constr. Build. Mater., 162(20), 683-696. https://doi.org/10.1016/j.conbuildmat.2017.12.011   DOI
20 Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic microcomposite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions", Struct. Eng. Mech., Int. J., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485   DOI
21 Matouk, H., Bousahla, A.A., Heireche, H., Bourada, F., Bedia, E.A., Tounsi, A., Mahmoud, S.R., Tounsi, A. and Benrahou, K.H. (2020), "Investigation on hygro-thermal vibration of P-FG and symmetric S-FG nanobeam using integral Timoshenko beam theory", Adv. Nano Res., Int. J., 8(4), 293-305. https://doi.org/10.12989/anr.2020.8.4.293   DOI
22 Khan, U., Al-Osta, M.A. and Ibrahim, A. (2017), "Modeling shear behavior of reinforced concrete beams strengthened with externally bonded CFRP sheets", Struct. Eng. Mech., Int. J., 61(1), 125-142. https://doi.org/10.12989/sem.2017.61.1.125   DOI
23 Khiloun, M., Bousahla, A.A., Kaci, A., Bessaim, A., Tounsi, A. and Mahmoud, S.R. (2020), "Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT", Eng. Comput., 36(3), 807-821. https://doi.org/10.1007/s00366-019-00732-1   DOI
24 Liang, J.F., Yu, D., Xie, S. and Li, J. (2017), "Flexural behaviour of reinforced concrete beams strengthened with NSM CFRP prestressed prisms", Struct. Eng. Mech., Int. J., 62(3), 291-295. https://doi.org/10.12989/sem.2017.62.3.297   DOI
25 Narayanamurthy, V., Chen, J.F., Cairns, J. and Ramaswamy, A. (2011), "Effect of shear deformation on interfacial stresses in plated beams subjected to arbitrary loading", Int. J. Adhes. Adhes., 31(8), 862-874. https://doi.org/10.1016/j.ijadhadh.2011.08.007   DOI
26 Ashour, A.F., El-Refaie, S.A. and Garrity, S.W. (2004), "Flexural strengthening of RC continuous beams using CFRP laminates", Cement Concrete Compos., 26, 765-775. https://doi.org/10.1016/j.cemconcomp.2003.07.002   DOI
27 Balubaid, M., Tounsi, A., Dakhel, B. and Mahmoud, S.R. (2019), "Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory", Comput. Concrete, Int. J., 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579   DOI
28 Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., Int. J., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699   DOI
29 Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle", Steel Compos. Struct., Int. J., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595   DOI
30 Mohammed, A.A., Manalo, A.C., Ferdous, W., Zhuge, Y., Vijay, P.V., Alkinani, A.Q. and Fam, A. (2020), "State-of-the-art of prefabricated FRP composite jackets for structural repair", Eng. Sci. Technol., Int. J., 23(5), 1244-1258. https://doi.org/10.1016/j.jestch.2020.02.006   DOI
31 Benferhat, R., Hassaine Daouadji. T., Said Mansour, M and Hadji L. (2016a), "Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations", Earthq. Struct., Int. J., 10(6) ,1429-1449. https://doi.org/10.12989/eas.2016.10.6.1429   DOI
32 Belbachir, N., Draich, K., Bousahla, A.A., Bourada, M., Tounsi, A. and Mohammadimehr, M. (2019), "Bending analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings", Steel Compos. Struct., Int. J., 33(1), 81-92. https://doi.org/10.12989/scs.2019.33.1.081   DOI
33 Belbachir, N., Bourada, M., Draiche, K., Tounsi, A., Bourada, F., Bousahla, A.A. and Mahmoud, S.R (2020), "Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory", Smart Struct. Syst., Int. J., 25(4), 409-422. https://doi.org/10.12989/sss.2020.25.4.409   DOI
34 Belkacem, A., Tahar, H.D., 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., Int. J., 66(6), 761-769. https://doi.org/10.12989/sem.2018.66.6.761   DOI
35 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   DOI
36 Rabahi, A., Daouadji, T.H., 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. Compos, 35(3), 258-272. https://doi.org/10.1177/0731684415613633   DOI
37 Rabhi, M., Benrahou, K.H., Kaci, A., Houari, M.S.A., Bourada, F., Bousahla, A.A., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R. and Tounsi, A. (2020), "A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Geomech. Eng., Int. J., 22(2), 119-132. http://doi.org/10.12989/gae.2020.22.2.119   DOI
38 Rabia, B., Abderezak, R., Daouadji, T.H., Abbes, B., Belkacem, A. and Abbes, F. (2018), "Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate", Adv. Mater. Res., Int. J., 7(1), 29-44. https://doi.org/10.12989/amr.2018.7.1.029   DOI
39 Taljsten, B. (1997), "Strengthening of beams by plate bonding", J. Mater. Civil Eng., 9(4), 206-212. https://doi.org/10.1061/(ASCE)0899-1561(1997)9:4(206)   DOI
40 Tayeb, B. and Daouadji, T.H. (2020), "Improved analytical solution for slip and interfacial stress in composite steel-concrete beam bonded with an adhesive", Adv. Mater. Res., Int. J., 9(2), 133-153. https://doi.org/10.12989/amr.2020.9.2.133   DOI
41 Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", Int. J. Solids Struct., 43(14-15), 4154-4174. https://doi.org/10.1016/j.ijsolstr.2005.03.074   DOI
42 Triantafillou, T.C. and Deskovic, N. (1991), "Innovative prestressing with FRP sheets: mechanics of shortterm behavior", J. Eng. Mech., 117, 1652-1672. https://doi.org/10.1061/(asce)0733-9399(1991)117:7(1652)   DOI
43 Benferhat, R., Hassaine Daouadji, T., Hadji, L. and Said Mansour, M. (2016b), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., Int. J., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123   DOI
44 Benhenni, M.A., Daouadji, T.H., Abbes, B., Adim, B., Li, Y. and Abbes, F. (2018), "Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates", Adv. Mater. Res., Int. J., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.119   DOI
45 Rabia, B., Daouadji, T.H. and Abderezak, R. (2019a), "Effect of porosity in interfacial stress analysis of perfect FGM beams reinforced with a porous functionally graded materials plate", Struct. Eng. Mech., Int. J., 72(3), 293-304. https://doi.org/10.12989/sem.2019.72.3.293   DOI
46 Rabia, B., Daouadji, T.H. and Abderezak, R. (2019b), "Effect of distribution shape of the porosity on the interfacial stresses of the FGM beam strengthened with FRP plate", Earthq. Struct., Int. J., 16(5), 601-609. https://doi.org/10.12989/eas.2019.16.5.601   DOI
47 Rahmani, M.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Influence of boundary conditions on the bending and free vibration behavior of FGM sandwich plates using a four-unknown refined integral plate theory", Comput. Concrete, Int. J., 25(3), 225-244. https://doi.org/10.12989/cac.2020.25.3.225   DOI
48 Tounsi, A., Daouadji, T.H. and Benyoucef, S. (2008), "Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations", Int. J. Adhes. Adhes., 29, 313-351. https://doi.org/10.1016/j.ijadhadh.2008.06.008   DOI
49 Tounsi, A., Al-Dulaijan, S.U., Al-Osta, M.A., Chikh, A., Al-Zahrani, M.M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., Int. J, 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511   DOI
50 Yang, D.S., Park, S.K. and Neale, K.W. (2009), "Flexural behaviour of reinforced concrete beams strengthened with prestressed carbon composites", Compos. Struct., 88, 497-508. https://doi.org/10.1016/j.compstruct.2008.05.016   DOI
51 Bensattalah, T., Zidour, M. and Daouadji, T.H. (2018), "Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory", Adv. Mater. Res., Int. J., 7(3), 163-174. https://doi.org/10.12989/amr.2018.7.3.163   DOI
52 Benhenni, M.A., Daouadji, T.H., Abbes, B., Abbes, F., Li, Y. and Adim, B. (2019a), "Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions", Struct. Eng. Mech., Int. J., 70(5), 535-549. https://doi.org/10.12989/sem.2019.70.5.535   DOI
53 Benhenni, M.A., Adim, B., Daouadji, T.H., Abbes, B., Abbes, F., Li, Y. and Bouzidane, A. (2019b), "A comparison of closed form and finite element solutions for the free vibration of hybrid cross ply laminated plates", Mech. Compos. Mater., 55(2),181-194. https://doi.org/10.1007/s11029-019-09803-2   DOI
54 Bensattalah, T., Daouadji, T.H., Zidour, M., Tounsi, A. and Bedia, E.A. (2016), "Investigation of thermal and chirality effects on vibration of single walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories", Mech. Compos. Mater., 52(4), 555-568. https://doi.org/10.1007/s11029-016-9606-z   DOI
55 Berghouti, H., Adda Bedia, E.A., Benkhedda, A. and Tounsi, A. (2019), "Vibration analysis of nonlocal porous nanobeams made of functionally graded material", Adv. Nano Res., Int. J., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351   DOI
56 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), 339-406. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(399)   DOI
57 Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, Int. J., 25(4), 311-325. https://doi.org/10.12989/cac.2020.25.4.311   DOI
58 Sahla, M., Saidi, H., Draiche, K., Bousahla, A.A., Bourada, F. and Tounsi, A. (2019), "Free vibration analysis of angle-ply laminated composite and soft core sandwich plates", Steel Compos. Struct., Int. J., 33(5), 663-679. https://doi.org/10.12989/scs.2019.33.5.663   DOI
59 Shariati, A., Ghabussi, A., Habibi, M., Safarpour, H., Safarpour, M., Tounsi, A. and Safa, M. (2020), "Extremely large oscillation and nonlinear frequency of a multi-scale hybrid disk resting on nonlinear elastic foundations", Thin-Wall. Struct, 154, 106840. https://doi.org/10.1016/j.tws.2020.106840   DOI
60 Bouakaz, K., Daouadji, T.H., 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. https://doi.org/10.1007/s11029-014-9435-x   DOI
61 Siddika, A., Al Mamun, M.A., Alyousef, R. and Amran, Y.M. (2019), "Strengthening of reinforced concrete beams by using fiber-reinforced polymer composites: A review", J. Build. Eng., 25, 100798. https://doi.org/10.1016/j.jobe.2019.100798   DOI
62 Siddika, A., Al Mamun, M.A., Ferdous, W. and Alyousef, R. (2020), "Performances, challenges and opportunities in strengthening reinforced concrete structures by using FRPs-A state-of-the-art review", Eng. Fail. Anal., 111, 104480. https://doi.org/10.1016/j.engfailanal.2020.104480   DOI
63 Smith, S.T. and Teng, J.G. (2001), "Interfacial stresses in plated beams", Eng. Struct., 23(7), 857-871. http://doi.org/10.1016/S0141-0296(00)00090-0   DOI
64 Zangana, S., Epaarachchi, J., Ferdous, W. and Leng, J. (2020), "A novel hybridised composite sandwich core with glass, kevlar and zylon fibres-investigation under low-velocity impact", Int. J. Impact Eng., 137, 103430. https://doi.org/10.1016/j.ijimpeng.2019.103430   DOI
65 Zhao, X.L. and Zhang, L. (2007), "State-of-the-art review on FRP strengthened steel structures", Eng. Struct., 29(8), 1808-1823. https://doi.org/10.1016/j.engstruct.2006.10.006   DOI
66 Zine, A., Bousahla, A.A., Bourada, F., Benrahou, K.H., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R. and Tounsi, A. (2020), "Bending analysis of functionally graded porous plates via a refined shear deformation theory", Comput. Concrete, Int. J., 26(1), 63-74. http://doi.org/10.12989/cac.2020.26.1.063   DOI
67 Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2020), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst., Int. J., 25(2), 197-218. https://doi.org/10.12989/sss.2020.25.2.197   DOI
68 Bourada, F., Bousahla, A.A., Bourada, M., Azzaz, A., Zinata, A. and Tounsi, A. (2019), "Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory", Wind Struct., Int. J., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019   DOI
69 Bourada, F., Bousahla, A.A., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Stability and dynamic analyses of SW-CNT reinforced concrete beam resting on elastic-foundation", Comput. Concrete, Int. J., 25(6), 485-495. https://doi.org/10.12989/cac.2020.25.6.485   DOI
70 Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Bedia, E.A. and Tounsi, A. (2020), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, Int. J., 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155   DOI
71 Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A., Tounsi, A. and Mahmoud, S.R. (2019), "Dynamic Analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., Int. J., 7(3), 191-208. https://doi.org/10.12989/anr.2019.7.3.191   DOI
72 Daouadji, T.H. (2017), "Analytical and numerical modeling of interfacial stresses in beams bonded with a thin plate", Adv. Computat. Des., Int. J., 2(1), 57-69. https://doi.org/10.12989/acd.2017.2.1.057   DOI
73 Teng, J.G. and Yao, J. (2007), "Plate end debonding in FRP-plated RC beams - II: Strength model", Eng. Struct., 29(10), 2472-2486. https://doi.org/10.1016/j.engstruct.2006.11.023   DOI
74 Chedad, A., Daouadji, T.H., 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., Int. J., 6(4) 317-328. https://doi.org/10.12989/amr.2017.6.4.317   DOI
75 Chedad, A., Daouadji, T.H., Abderezak, R., Belkacem, A., Abbes, B., Rabia, B. and Abbes, F. (2018), "A high-order closed-form solution for interfacial stresses in externally sandwich FGM plated RC beams", Adv. Mater. Res., Int. J., 6(4), 317-328. https://doi.org/10.12989/amr.2017.6.4.317   DOI
76 Chergui, S., Daouadji, T.H., Hamrat, M., Boulekbache, B., Bougara, A., Abbes, B. and Amziane, S. (2019), "Interfacial stresses in damaged RC beams strengthened by externally bonded prestressed GFRP laminate plate: Analytical and numerical study", Adv. Mater. Res., Int. J., 8(3), 197-217. https://doi.org/10.12989/amr.2019.8.3.197   DOI
77 Chikr, S.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., Int. J., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185   DOI
78 Chikr, S.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin's approach", Geomech. Eng., Int. J., 21(5), 471-487. https://doi.org/10.12989/gae.2020.21.5.471   DOI
79 Daouadji, T.H. (2013), "Analytical analysis of the interfacial stress in damaged reinforced concrete beams strengthened by bonded composite plates", Strength Mater., 45(5), 587-597. htttps://doi.org/10.1007/s11223-013-9496-4   DOI
80 Daouadji, T.H. (2016), "Theoretical analysis of composite beams under uniformly distributed load", Adv. Mater. Res., Int. J., 5(1), 1-9. https://doi.org/10.12989/amr.2016.5.1.001   DOI
81 Daouadji, T.H. and Adim, B. (2016), "An analytical approach for buckling of functionally graded plates", Adv. Mater. Res., Int. J., 5(3), 141-169. https://doi.org/10.12989/amr.2016.5.3.141   DOI
82 Daouadji, T.H. and Benferhat, R. (2016), "Bending analysis of an imperfect FGM plates under hygro-thermomechanical loading with analytical validation", Adv. Mater. Res., Int. J., 5(1), 35-53. https://doi.org/10.12989/amr.2016.5.1.035   DOI
83 Daouadji, T.H., 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   DOI
84 Daouadji, T.H., Boussad, A., Abderezak, R., Rabia, B., Fazilay, A. and Belkacem, A. (2019), "Flexural behaviour of steel beams reinforced by carbon fibre reinforced polymer: Experimental and numerical study", Struct. Eng. Mech., Int. J., 72(4), 409-419. https://doi.org/10.12989/sem.2019.72.4.409   DOI
85 Daouadji, T.H., Abderezak, R. and Rabia, B. (2020), "Flexural performance of wooden beams strengthened by composite plate", Struct. Monitor. Maint., Int. J., 7(3), 233-259. http://doi.org/10.12989/smm.2020.7.3.233   DOI
86 De Lorenzis, L. and Zavarise, G. (2009), "Cohesive zone modeling of interfacial stresses in plated beams", Int. J. Solids Struct., 46, 4181-4191. https://doi.org/10.1061/(asce)0899-1561(1997)9:4(206)   DOI
87 Gao, P., Gu, X. and Mosallam, A.S. (2016), "Flexural behavior of preloaded reinforced concrete beams strengthened by prestressed CFRP laminates", Compos. Struct., 157(1), 33-50. https://doi.org/10.1016/j.compstruct.2016.08.013   DOI
88 Draiche, K., Bousahla, A.A., Tounsi, A., Alwabli, A.S., Tounsi, A. and Mahmoud, S.R. (2019), "Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory", Comput. Concrete, Int. J., 24(4), 369-378. https://doi.org/10.12989/cac.2019.24.4.369   DOI
89 Du, Y., Liu, Y. and Zhou, F. (2019), "An improved four-parameter model on stress analysis of adhesive layer in plated beam", Int. J. Adhes. Adhes., 91, 1-11. https://doi.org/10.1016/j.ijadhadh.2019.02.005   DOI
90 Esfahani, M.R., Kianoush, M.R. and Tajari, A.R. (2007), "Flexural behaviour of reinforced concrete beams strengthened by CFRP sheets", Eng. Struct., 29(10), 2428-2444. https://doi.org/10.1016/j.engstruct.2006.12.008   DOI
91 Ghafoori, E., Hosseini, A., Al-Mahaidi, R., Zhao, X.L. and Motavalli, M. (2018), "Prestressed CFR- Pstrengthening and long-term wireless monitoring of an old roadway metallic bridge", Eng. Struct., 176, 585-605. https://doi.org/10.1016/j.engstruct.2018.09.042   DOI
92 Hadji, L., Daouadji, T.H., Meziane, M. and Bedia, E.A. (2016), "Analyze of the interfacial stress in reinforced concrete beams strengthened with externally bonded CFRP plate", Steel Compos. Struct., Int. J., 20(2), 413-429. https://doi.org/10.12989/scs.2016.20.2.413   DOI
93 Hadj, B., Rabia, B. and Daouadji, T.H. (2019), "Influence of the distribution shape of porosity on the bending FGM new plate model resting on elastic foundations", Struct. Eng. Mech., Int. J., 72(1), 823-832. https://doi.org/10.12989/sem.2019.72.1.061   DOI