Structural Engineering and Mechanics

  • 제67권2호
  • /
  • Pages.115-123
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  • 2018
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

The critical buckling load of reinforced nanocomposite porous plates

  • 투고 : 2018.03.16
  • 심사 : 2018.04.21
  • 발행 : 2018.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

By using the first order shear deformation plate theory (FSDT) in the present paper, the effect of porosity on the buckling behavior of carbon nanotube-reinforced composite porous plates has been investigated analytically. Two types of distributions of uniaxially aligned reinforcement material are utilized which uniformly (UD-CNT) and functionally graded (FG-CNT) of plates. The analytical equations of the model are derived and the exact solutions for critical buckling load of such type's plates are obtained. The convergence of the method is demonstrated and the present solutions are numerically validated by comparison with some available solutions in the literature. The central thesis studied and discussed in this paper is the Influence of Various parameters on the buckling of carbon nanotube-reinforced porous plate such as aspect ratios, volume fraction, types of reinforcement, the degree of porosity and plate thickness. On the question of porosity, this study found that there is a great influence of their variation on the critical buckling load. It is revealed that the critical buckling load decreases as increasing coefficients of porosity.

키워드

과제정보

연구 과제 주관 기관 : Algerian national agency for development of university research (ANDRU), University of Sidi Bel Abbes (UDL SBA)

참고문헌

  1. Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. https://doi.org/10.1177/1099636214526852
  2. 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.
  3. Ait Yahia, S., Ait Atmane, H., 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
  4. Ajayan, P.M., Stephen, O., Colliex, C. and Trauth, D. (1994), "Aligned carbon nanotube arrays formed by cutting a polymer resin-nanotube composite", Sci., 256(5176), 1212-1214.
  5. Arani, A.J. and Kolachi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concrete, 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567
  6. 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
  7. 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
  8. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Beg, O.A. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B: Eng., 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
  9. Beldjelili, Y., Tounsi, A. and Mahmoud, S.R. (2016), "Hygrothermo-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
  10. Bellifa, H., Bakora, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2017b), "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. Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017a), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., 62(6), 695-702. https://doi.org/10.12989/SEM.2017.62.6.695
  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. 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
  14. Bilouei, B.S., Kolahchi, R. and Bidgoli, M.R. (2016), "Buckling of concrete columns retrofitted with nano-fiber reinforced polymer (NFRP)", Comput. Concrete, 18(5), 1053-1063. https://doi.org/10.12989/cac.2016.18.5.1053
  15. Bouazza, M., Amara, K., Zidour, M., Tounsi, A. and Adda Bedia, E.A. (2015a), "Postbuckling analysis of functionally graded beams using hyperbolic shear deformation theory", Rev. Informat. Eng. Appl., 2(1), 1-14. https://doi.org/10.1186/s40535-014-0004-0
  16. Bouazza, M., Amara, K., Zidour, M., Tounsi, A. and Adda Bedia, E.A. (2015b), "Postbuckling analysis of nanobeams using trigonometric Shear deformation theory", Appl. Sci. Rep., 10(2), 112-121.
  17. Bouderba, B., Houari, M.S.A. and 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
  18. 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
  19. 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
  20. Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Meth., 11(6), 1350082. https://doi.org/10.1142/S0219876213500825
  21. Chemi, A., Heireche, H., Zidour, M., Rakrak, K. and Bousahla, A.A. (2015), "Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity", Adv. Nano Res., 3(4), 193-206. https://doi.org/10.12989/anr.2015.3.4.193
  22. Costa, M.L., De Almeida, S.F.M. and Rezende, M.C. (2001), "The influence of porosity on the ILSS of carbon/epoxy and carbon/bismaleimide fabric laminates", Compos. Sci. Technol., 61(14), 2101-2108. https://doi.org/10.1016/S0266-3538(01)00157-9
  23. 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
  24. Esawi, A.M.K. and Farag, M.M. (2007), "Carbon nanotube reinforced composites: Potential and current challenges", Mater. Des., 28(9), 2394-2401. https://doi.org/10.1016/j.matdes.2006.09.022
  25. Fares, M.E. (1999), "Non-linear bending analysis of composite laminated plates using a refined first-order theory", Compos. Struct., 46(3), 257-266. https://doi.org/10.1016/S0263-8223(99)00062-8
  26. Ghiorse, S.R. (1993), "Effect of void content on the mechanical properties of carbon/epoxy laminates", Samp. Quarter., 1, 54-59.
  27. Hajmohammad, M.H., Zarei, M.S. and Nouri, A. (2017), "Dynamic buckling of sensor/functionally graded-carbon nanotube-reinforced laminated plates/actuator based on sinusoidal-visco-piezoelasticity theories", J. Sandw. Struct. Mater., 1-33.
  28. Han, Y. and Elliott, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39(2), 315-323. https://doi.org/10.1016/j.commatsci.2006.06.011
  29. Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., 140(2), 374-383. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665
  30. Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nat., 354(6348), 56-58. https://doi.org/10.1038/354056a0
  31. Iijima, S. and Ichihashi, T. (1993), "Single-shell carbon nanotubes of 1 nm diameter", Nat., 363(6430), 603. https://doi.org/10.1038/363603a0
  32. Iwasaki, Y., Uchiyama, S., Kurita, K., Morimoto, N. and Nakabayashi, N. (2002), "A nonthrombogenic gas-permeable membrane composed of a phospholipid polymer skin film adhered to a polyethylene porous membrane", Biomater., 23(16), 3421. https://doi.org/10.1016/S0142-9612(02)00044-3
  33. Jafari Mehrabadi, S., Sobhani Aragh, B., Khoshkhahesh, V. and Taherpour, A. (2012), "Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight singlewalled carbon nanotubes", Compos.: Part B, 43(4), 2031-2040. https://doi.org/10.1016/j.compositesb.2012.01.067
  34. Karami, B., Janghorban, M. and Tounsi, A. (2018a), "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory", Thin-Wall. Struct., 129, 251-264. https://doi.org/10.1016/j.tws.2018.02.025
  35. Karami, B., Janghorban, M. and Tounsi, A. (2018b), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., 27(2), 201-216. https://doi.org/10.12989/SCS.2018.27.2.201
  36. Kolahchi, R. (2017a), "A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods", Aerosp. Sci. Technol., 66, 235-248. https://doi.org/10.1016/j.ast.2017.03.016
  37. Kolahchi, R. and Cheraghbak, A. (2017b), "Agglomeration effects on the dynamic buckling of viscoelastic microplates reinforced with SWCNTs using Bolotin method", Nonlin. Dyn., 90(1), 479-492. https://doi.org/10.1007/s11071-017-3676-x
  38. Kolahchi, R. and Moniri, A.M. (2016b), "Bidgoli size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes", Appl. Math. Mech., 37(2), 265-274. https://doi.org/10.1007/s10483-016-2030-8
  39. Kolahchi, R., Bidgoli, M.R., Beygipoor, G. and Fakhar, M.H. (2015), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Technol., 29(9), 3669-3677. https://doi.org/10.1007/s12206-015-0811-9
  40. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016a), "Differential cubature and quadrature Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct. 157, 174-186. https://doi.org/10.1016/j.compstruct.2016.08.032
  41. Kolahchi, R., Keshtegar, B. and Fakhar, M.H. (2017c), "Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using grey wolf algorithm", J. Sandw. Struct. Mater., 1-25,
  42. Kolahchi, R., Safari, M. and Esmailpour, M. (2016c), "Dynamic stability analysis of temperature dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023
  43. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A. (2017d), "Wave propagation of embedded viscoelastic FGCNT-reinforced sandwich plates integrated with sensor and actuator based on refined zigzag theory", Int. J. Mech. Sci., 130, 534-545. https://doi.org/10.1016/j.ijmecsci.2017.06.039
  44. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Oskouei, A.N. (2017a), "Visco-nonlocal-refined zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin-Wall. Struct., 113, 162-169. https://doi.org/10.1016/j.tws.2017.01.016
  45. Kolahchi, R., Zarei, M.S., Hajmohammad, M.H. and Nouri, A. (2017b), "Wave propagation of embedded viscoelastic FGCNT-reinforced sandwich plates integrated with sensor and actuator based on refined zigzag theory", Int. J. Mech. Sci., 130, 534-545. https://doi.org/10.1016/j.ijmecsci.2017.06.039
  46. Kovacik, J. (1999), "Correlation between Young's modulus and porosity in porous materials", J. Mater. Sci. Lett., 18(13), 1007-1010. https://doi.org/10.1023/A:1006669914946
  47. Lei, Z.X., Liew, K.M. and Yu, J.L. (2013), "Buckling analysis of functionally graded carbon nanotube reinforced composite plates using the element-free kp-Ritz method", Compos. Struct., 98, 160-168. https://doi.org/10.1016/j.compstruct.2012.11.006
  48. Levkin, P.A., Svec, F. and Frechet, J.M.J. (2009), "Porous polymer coatings: A versatile approach to superhydrophobic surfaces", Adv. Funct. Mater., 19(12), 1993-1998. https://doi.org/10.1002/adfm.200801916
  49. Liu, L., Zhang, B.D., Wang, D.F. and Wu, Z.J. (2006), "Effects of cure cycles on void content and mechanical properties of composites laminates", Compos. Struct., 73(3), 303-309. https://doi.org/10.1016/j.compstruct.2005.02.001
  50. Madani, H., Hosseini, H. and Shokravi, M. (2016), "Differential cubature method for vibration analysis of embedded FG-CNTreinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions", Steel Compos. Struct., 22(4), 889-913. https://doi.org/10.12989/scs.2016.22.4.889
  51. Madsen, B. and Lilholt, H. (2003), "Physical properties of unidirectional plant fibre composites-an evaluation of the influence of porosity", Compos. Sci. Technol., 63(9), 1265-1272. https://doi.org/10.1016/S0266-3538(03)00097-6
  52. Mehar, K, Panda, S.K. and Mahapatra, T.R. (2017), "Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure", Eur. J. Mech./A Sol., 65, 384-396. https://doi.org/10.1016/j.euromechsol.2017.05.005
  53. Mehar, K. and Panda, S.K. (2017), "Thermoelastic analysis of FGCNT reinforced shear deformable composite plate under various loading", Int. J. Comput. Meth., 14(2), 1750019. https://doi.org/10.1142/S0219876217500190
  54. 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
  55. Moradi-Dastjerdi, R. (2016), "Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube", Struct. Eng. Mech., 57(3), 441-456. https://doi.org/10.12989/sem.2016.57.3.441
  56. Nam, Y.S. and Park, T.G. (1999), "Porous biodegradable polymeric scaffolds prepared by thermally induced phase separation", J. Biomed. Mater. Res., 47(1), 8-17. https://doi.org/10.1002/(SICI)1097-4636(199910)47:1<8::AID-JBM2>3.0.CO;2-L
  57. Pradhan, S.C. and Phadikar, J.K. (2009), "Bending, buckling and vibration analyses of nonhomogeneous nanotubes using GDQ and nonlocal elasticity theory", Struct. Eng. Mech., 33(2), 193-213. https://doi.org/10.12989/sem.2009.33.2.193
  58. Rakrak, K., Zidour, M., Heireche, H., Bousahla, A.A. and Chemi, A. (2016), "Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory", Adv. Nano Res., 4(1), 31-44. https://doi.org/10.12989/anr.2016.4.1.031
  59. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd Edition, Taylor & Francis eBooks, CRC Press.
  60. Shafiei, H. and Setoodeh, A.R. (2017), "Nonlinear free vibration and post-buckling of FG-CNTRC beams on nonlinear foundation", Steel Compos. Struct., 24(1), 65-77. https://doi.org/10.12989/scs.2017.24.1.065
  61. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
  62. Shokravi, M. (2017), "Buckling of sandwich plates with FG-CNTreinforced layers resting on orthotropic elastic medium using Reddy plate theory", Steel Compos. Struct., 23(6), 623-631. https://doi.org/10.12989/SCS.2017.23.6.623
  63. Shokravi, M. (2017), "Dynamic pull-in and pull-out analysis of viscoelastic nanoplates under electrostatic and casimir forces via sinusoidal shear deformation theory", Microelectr. Reliab., 71, 17-28 https://doi.org/10.1016/j.microrel.2017.02.006
  64. Shokravi, M. (2017a), "Buckling analysis of embedded laminated plates with agglomerated CNT-reinforced composite layers using FSDT and DQM", Geomech. Eng., 12(2), 327-346. https://doi.org/10.12989/gae.2017.12.2.327
  65. Shokravi, M. (2017b), "Buckling of sandwich plates with FGCNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory", Steel Compos. Struct., 23(6), 623-631. https://doi.org/10.12989/SCS.2017.23.6.623
  66. Shokravi, M. (2017c), "Vibration analysis of silica nanoparticlesreinforced concrete beams considering agglomeration effects", Comput. Concrete, 19(3), 333-338. https://doi.org/10.12989/cac.2017.19.3.333
  67. Tounsi, A., Houari, M.S.A. and Bessaim, A. (2016), "A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate", Struct. Eng. Mech., 60(4), 547-565. https://doi.org/10.12989/sem.2016.60.4.547
  68. Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2015), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220.
  69. Ulbricht, M. (2006), "Advanced functional polymer membranes", Polym., 47(7), 2217-2262. https://doi.org/10.1016/j.polymer.2006.01.084
  70. Verdejo, R., Stampfli, R., Alvarez-Lainez, M., Mourad, S., Rodriguez-Perez, M.A., Bruhwiler, P.A. and Shaffer M. (2009), "Enhanced acoustic damping in flexible polyurethane foams filled with carbon nanotubes", Compos. Sci. Technol., 69(10), 1564-1569. https://doi.org/10.1016/j.compscitech.2008.07.003
  71. Vora, R.H., Krishnan, R.S.G., Goh, S.H. and Chung, T.S. (2001), "Synthesis and properties of designed low-k fluorocopolyetherimides. Part 1", Adv. Funct. Mater., 11(5), 361-373. https://doi.org/10.1002/1616-3028(200110)11:5<361::AID-ADFM361>3.0.CO;2-B
  72. Wan, H., Delale, F. and Shen, L. (2005), "Effect of CNT length and CNT-matrix interphase in carbon nanotube (CNT) reinforced composites", Mech. Res. Commun., 32(5), 481-489. https://doi.org/10.1016/j.mechrescom.2004.10.011
  73. Wattanasakulpong, N. and Chaikittiratana, A. (2015), "Exact solutions for static and dynamic analyses of carbon nanotubereinforced composite plates with Pasternak elastic foundation", Appl. Math. Model., 39(18), 5459-5472. https://doi.org/10.1016/j.apm.2014.12.058
  74. Xu, B., Arias, F.G. and Whitesides, M. (1999), "Making honeycomb microcomposites by soft lithography", Adv. Mater., 11(6), 492-495. https://doi.org/10.1002/(SICI)1521-4095(199904)11:6<492::AID-ADMA492>3.0.CO;2-I
  75. Zamanian, M., Kolahchi, R. and Bidgol, M.R. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24(1), 43-57. https://doi.org/10.12989/was.2017.24.1.043
  76. Zarei, M.S., Kolahchi, R., Hajmohammad, M.H. and Maleki, M. (2017), "Seismic response of underwater fluid-conveying concrete pipes reinforced with SiO2 nanoparticles and fiber reinforced polymer (FRP) layer", Soil Dyn. Earthq. Eng., 103, 76-85. https://doi.org/10.1016/j.soildyn.2017.09.009
  77. Zhu, P., Lei, Z.X. and Liew, K.M. (2012), "Static and free vibration analyses of carbon nanotube reinforced composite plates using finite element method with first order shear deformation plate theory", Compos. Struct., 94(4), 1450-1460. https://doi.org/10.1016/j.compstruct.2011.11.010
  78. Zidi, M., Tounsi, A., Houari, M.S.A. and Beg, O.A. (2014), "Bending analysis of FGM plates under hygrothermomechanical loading using a four variable refined plate theory", Aerosp. Sci. Technol., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001
  79. Zidour, M., Benrahou, K.H., Semmah, A., Naceri, M., Belhadj, H.A., Bakhti, K. and Tounsi, A. (2012), "The thermal effect on vibration of zigzag single walled carbon nanotubes using nonlocal Timoshenko beam theory", Comput. Mater. Sci., 51(1), 252-260. https://doi.org/10.1016/j.commatsci.2011.07.021

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