DOI QR코드

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Effect of porosity in interfacial stress analysis of perfect FGM beams reinforced with a porous functionally graded materials plate

  • 투고 : 2019.03.20
  • 심사 : 2019.05.30
  • 발행 : 2019.11.10

초록

In this paper, a general model is developed to predict the distribution of interfacial shear and normal stresses of FG beam reinforced by porous FGM plates under mechanical loading. The beam is assumed to be isotropic with a constant Poisson's ratio and power law elastic modulus through the beam thickness. Stress distributions, depending on an inhomogeneity constant, were calculated and presented in graphicals forms. It is shown that both the normal and shear stresses at the interface are influenced by the material and geometry parameters of the composite beam, and it is shown that the inhomogeneities play an important role in the distribution of interfacial stresses. The results presented in the paper can serve as a benchmark for future analyses of functionally graded beams strengthened by imperfect varying properties plates. Numerical comparisons between the existing solutions and the present new solution enable a clear appreciation of the effects of various parameters. The results of this study indicated that the imperfect functionally graded panel strengthening systems are effective in enhancing flexural behavior of the strengthened FGM beams. This research is helpful in understanding the mechanical behaviour of the interface and design of hybrid structures.

키워드

참고문헌

  1. Rabahi, A., Adim, B., Chergui, S. and Hassaine Daouadji, T. (2015), "Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations", Multiphys. Model. Simulat. Syst. Des. Monit. Appl. Condition Monit., 2, 317-326. https://doi.org/10.1016/j.ijadhadh.2008.06.008.
  2. Abualnour, M., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2015), "Thermal buckling of functionally graded plates using a n-order four variable refined theory", Adv. Mater. Res., 4(1), 31-44. http://dx.doi.org/10.12989/amr.2015.4.1.31.
  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. (2016) "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.
  5. Adim, B., Hassaine Daouadji, T., Rabahi, A., Mohamed, B., 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.
  6. Ait Atmane, H., Tounsi, A. and Bernard, F. (2015), "Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations", Int. J. Mech. Mater., 1-14. https://doi.org/10.1007/s10999-015-9318-x.
  7. 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.
  8. Arani, A.G., Mobarakeh, M.R., Shams, S. and Mohammadimehr, M. (2012), "The effect of CNT volume fraction on the magneto-thermo-electro-mechanical behavior of smart nanocomposite cylinder", J. Mech. Sci. Technol., 26(8), 2565-2572. https://doi.org/10.1007/s12206-012-0639-5.
  9. Bakhadda, B., Bachir Bouiadjra, M., 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. 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.
  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. Rabia, B., 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 exponentiallyvarying properties plate", Adv. Mater. Res., 7(1), 29-44. https://doi.org/10.12989/amr.2018.7.1.029.
  13. Rabia, B., Hassaine Daouadji, T., Hadji, L. and Mohamed Said Mansour (2016), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123.
  14. Rabia, B., Hassaine Daouadji T. and Said Mansour, M. (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.
  15. Rabia, B., Hassaine Daouadji, T. and Abderezak, R. (2019), "Effect of distribution shape of the porosity on the interfacial stresses of the FGM beam strengthened with FRP plate", Earthq. Struct., 16(5), 601-609. https://doi.org/10.12989/eas.2019.16.5.601.
  16. Mohamed, B., Hassaine Daouadji, T., Abbes, B., Yu Ming Li, and Abbes, F. (2018), "Analytical and Numerical Results for Free Vibration of Laminated Composites Plates", J. Chem. Molecul. Eng., 12(6), 300-304.
  17. Mohamed Amine, B., Hassaine Daouadji, T., Abbes, B., Adim, B., Yuming Li and Abbes, F. (2018a), "Dynamic analysis for antisymmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates" Adv. Mater. Res., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.119.
  18. Bensattalah Tayeb, Mohamed Zidour and Hassaine Daouadji, T. (2018b), "Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory", Adv. Mater. Res., 7(3), 163-174. https://doi.org/10.12989/amr.2018.7.3.163.
  19. Benhenni Mohamed Amine, Adim, B., Hassaine Daouadji, T., Abbes, B., Fazilay Abbes, Yuming Li and Ahmed Bouzidene (2019) "A comparison of closed form and finite element solutions for the free vibration of hybrid cross ply laminated plates", Mech. Compos. Mater., 55, 2. https://doi.org/10.1007/s11029-019-09803-2.
  20. 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.
  21. Bouadi, A., Bousahla, A.A., Houari, M.S.A., Heireche, H. and Tounsi, A. (2018), "A new nonlocal HSDT for analysis of stability of single layer graphene sheet", Adv. Nano Res., 6(2), 147-162. https://doi.org/10.12989/anr.2018.6.2.147.
  22. Bouakaz, K., Hassaine Daouadji, T., Meftah, S., Ameur, M. and Bedia, 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.
  23. Bouhadra, A., Tounsi, A., Bousahla, A.A., Benyoucef, S. and Mahmoud, S.R. (2018), "Improved HSDT accounting for effect of thickness stretching in advanced composite plates", Struct. Eng. Mech., 66(1), 61-73. https://doi.org/10.12989/sem.2018.66.1.061.
  24. Samir, B., Kerboua, B. and Bensaid, I. (2018), "Improved stresses analysis of a functionally graded beam under prestressed CFRP plate", Adv. Compos. Lett., 27(1), 10-22. https://doi.org/10.1177/096369351802700102.
  25. 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(6), 317-328. https://doi.org/10.12989/amr.2017.6.4.317.
  26. 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.
  27. El Mahi, K.H. Benrahou, K., Belakhdar, A. Tounsi, A. and Adda Bedia, 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. https://doi.org/10.1007/s11029-014-9433-z.
  28. Farajpour, A., Yazdi, M.R.H., Rastgoo, A. and Mohammadi, M. (2016), "A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment", Acta Mechanica, 227(7). https://doi.org/10.1007/s00707-016-1605-6.
  29. Ghorbanpour Arani, A. and Haghparast, E. (2017), "Size-dependent vibration of axially moving viscoelastic micro-plates based on sinusoidal shear deformation theory", J. Appl. Mech., 9, https://doi.org/10.1142/S1758825117500260.
  30. Guenaneche, B., Tounsi, A. and Adda Bedia, E.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.
  31. 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.
  32. 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.
  33. Hassaine Daouadji, T., Abdelaziz, H., Tounsi, A, and Adda, B. (2012), "A new Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates", Model. Simul. Eng., 10, 1-10. https://doi.org/10.1016/j.apm.2014.10.045.
  34. 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.
  35. Yang, J., Jianqiao, Ye and Zhongrong, N. (2007), "Interfacial shear stress in FRP-plated RC beams under symmetric loads", Cement Concrete Compos., 29(2007), 421-432. https://doi.org/10.1016/j.cemconcomp.2006.11.011.
  36. Yang, J. and Jian Kao, Ye (2010), "An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach", J. Mech. Sci., 52(2010), 13-30. https://doi.org/10.1016/j.ijmecsci.2009.09.041.
  37. Kaci, A., Houari, M.S.A., Bousahla, A.A., Tounsi, A., 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.
  38. 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.
  39. Khalifa Z., Hassaine Daouadji T., L. Hadji, Tounsi A, Adda bedia, (2016), "A New Higher Order Shear Deformation Model of Functionally Graded Beams Based on Neutral Surface Position", Transac. Indian Institute Metals, 69(3), 683-691. https://doi.org/10.1007/s12666-015-0540-x.
  40. 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., 9, 218-227. https://doi.org/10.1016/j.engstruct.2013.05.008.
  41. Mohammadimehr, M., Hooyeh, H.M., Afshari, H. and Salarkia, M.R. (2017), "Free vibration analysis of doublebonded isotropic piezoelectric Timoshenko micro-beam based on strain gradient and surface stress elasticity theories under initial stress using DQM", Mech. Adv. Mater. Struct., 24(4), 287-303. https://doi.org/10.1080/15376494.2016.1142022.
  42. Mohammadimehr, M., Mehrabi, M. and Hadizadeh, H. (2018b), "Surf ace and size dependent effects on static, buckling, and vibration of micro composite beam under thermomagnetic fields based on strain gradient theory", Steel Compos. Struct., 26(4), 513-531. https://doi.org/10.12989/scs.2018.26.4.513.
  43. Mohammadimehr, M., Zarei, H.B., Parakandeh, A. and Arani, A.G. (2017b), "Vibration analysis of double-bonded sandwich microplates with nanocomposite facesheets reinforced by symmetric and un-symmetric distributions of nanotubes under multi physical fields", Struct. Eng. Mech., 64(3), 361-379. https://doi.org/10.12989/sem.2017.64.3.361.
  44. 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.
  45. 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. ttps://doi.org/10.12989/amr.2017.6.3.257.
  46. Rabahi A., Benferhat R., T. Hassaine Daouadji, B. Abbes, Adim B. and F. Abbes (2019), "Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams", Adv. Mater. Res., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.83.
  47. Benferhat, R., Hassaine Daouadji, T., Mansour, Mohamed Said and Hadji, L. (2016), "Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations", Eartq. Struct., 10(5), 1429-1449. https://doi.org/10.12989/eas.2016.10.6.1429.
  48. 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).
  49. 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.
  50. Hassaine Daouadji, T., Abdelaziz H.H. and Adda bedia, E.A. (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.
  51. Hassaine Daouadji, T., Adim, B. and Benferhat, R., (2016), "Bending analysis of an imperfect FGM plates under hygro-thermo-mechanical loading with analytical validation", Adv. Mater. Res., 5(1), 35-53. http://dx.doi.org/10.12989/amr.2016.5.1.035.
  52. 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.
  53. Hassaine Daouadji, T., Tounsi A. and Adda Bedia, A. (2013), "Analyse et modelisation des poutres en beton arme renforcees par collage externe de plaques composites", Revue des composites et des materiaux avances, 21(2), 239-252.
  54. Bensattalah, T., Zidour, M., Hassaine Daouadji, T. and Bouakaz, K. (2019), "Theoretical analysis of chirality and scale effects on critical buckling load of zigzag triple walled carbon nanotubes under axial compression embedded in polymeric matrix", Struct. Eng. Mech., 70(3), 269-277. https://doi.org/10.12989/sem.2019.70.3.269.
  55. 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.2015.15.3.337.
  56. 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", J. Adhesion Adhesives, 29, 313-351. https://doi.org/10.1016/j.ijadhadh.2008.06.008.
  57. Tounsi, A. (2006), "Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate", Int J Solids Struct, 43, 4154-4174. https://doi.org/10.1016/j.ijsolstr.2005.03.074.
  58. Wattanasakulpong, N., Prusty, B. G., Kelly, D. W. and Hoffman, M. (2012), "Free vibration analysis of layered functionally graded beams with experimental validation", Mater. Design, 36, 182-190. https://doi.org/10.1016/j.matdes.2011.10.049.
  59. 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.
  60. 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.
  61. Zhu, J., Lai, Z., Yin, Z., Jeon, J. and Lee, S. (2001), "Fabrication of ZrO2-NiCr functionally graded material by powder metallurgy", Mater. Chem. Phys., 68(1-3), 130-135. https://doi.org/10.1016/S0254-0584(00)00355-2.
  62. 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.

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