DOI QR코드

DOI QR Code

Post-buckling analysis of geometrically imperfect nanoparticle reinforced annular sector plates under radial compression

  • Mirjavadi, Seyed Sajad (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Forsat, Masoud (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Mollaee, Saeed (Auckland Bioengineering Institute, the University of Auckland) ;
  • Barati, Mohammad Reza (Fidar Project Qaem Company) ;
  • Afshari, Behzad Mohasel (School of Mechanical Engineering, College of Engineering, Sharif University of Technology) ;
  • Hamouda, A.M.S. (Department of Mechanical and Industrial Engineering, Qatar University)
  • 투고 : 2020.02.04
  • 심사 : 2020.05.29
  • 발행 : 2020.07.25

초록

Buckling and post-buckling behaviors of geometrically imperfect annular sector plates made from nanoparticle reinforced composites have been investigated. Two types of nanoparticles are considered including graphene oxide powders (GOPs) and silicone oxide (SiO2). Nanoparticles are considered to have uniform and functionally graded distributions within the matrix and the material properties are derived using Halpin-Tsai procedure. Annular sector plate is formulated based upon thin shell theory considering geometric nonlinearity and imperfectness. After solving the governing equations via Galerkin's technique, it is showed that the post-buckling curves of annular sector plates rely on the geometric imperfection, nanoparticle type, amount of nanoparticles, sector inner/outer radius and sector open angle.

키워드

과제정보

The authors would like to thank FPQ (Fidar project Qaem) for providing the fruitful and useful help.

참고문헌

  1. 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 new four variable trigonometric refined plate theory", Comput. Concrete, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
  2. 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, 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347.
  3. Ahankari, S.S. and Kar, K.K. (2010), "Hysteresis measurements and dynamic mechanical characterization of functionally graded natural rubber-carbon black composites", Polym. Eng. Sci., 50(5), 871-877. https://doi.org/10.1002/pen.21601.
  4. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  5. Al-Maliki, A.F., Faleh, N.M. and Alasadi, A.A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities", Struct. Monit. Mainten., 6(2), 147-159. https://doi.org/10.12989/smm.2019.6.2.147.
  6. Alijani, M. and Bidgoli, M.R. (2018), "Agglomerated SiO2 nanoparticles reinforced-concrete foundations based on higher order shear deformation theory: Vibration analysis", Adv. Concrete Constr., 6(6), 585. https://doi.org/10.12989/acc.2018.6.6.585.
  7. Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.
  8. Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2017), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys. A, 123(1), 104. http://dx.doi.org/10.1007/s00339-017-0772-1.
  9. Azimi, M., Mirjavadi, S.S., Shafiei, N., Hamouda, A.M.S. and Davari, E. (2018), "Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution", Mech. Adv. Mater. Struct., 25(6), 467-480. https://doi.org/10.1080/15376494.2017.1285455.
  10. 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, 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579.
  11. Barati, M.R. (2017), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., 5(4), 393-414. https://doi.org/10.12989/anr.2017.5.4.393.
  12. Barati, M.R. and Zenkour, A.M. (2018), "Analysis of postbuckling of graded porous GPL-reinforced beams with geometrical imperfection", Mech. Adv. Mater. Struct., 26(6), 503-511. https://doi.org/10.1080/15376494.2017.1400622.
  13. 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., 33(5), 699. https://doi.org/10.12989/scs.2019.33.5.699.
  14. 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., 33(1), 81-92. https://doi.org/10.12989/scs.2019.33.1.081.
  15. Bellal, M., Hebali, H., Heireche, H., Bousahla, A. A., Tounsi, A., Bourada, F. and Tounsi, A. (2020), "Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model", Steel Compos. Struct., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.
  16. 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., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351.
  17. Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516. https://doi.org/10.12989/scs.2019.31.5.503.
  18. Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161.
  19. Bounouara, F., Benrahou, K.H., Belkorissat, I. and Tounsi, A. (2016), "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation", Steel Compos. Struct., 20(2), 227-249. https://doi.org/10.12989/scs.2016.20.2.227.
  20. 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., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019.
  21. 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., 25(2), 197. https://doi.org/10.12989/sss.2020.25.2.197.
  22. Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.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., 7(3), 191. https://doi.org/10.12989/anr.2019.7.3.191.
  23. Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185.
  24. Chikh, A., Bakora, A., Heireche, H., Houari, M.S.A., Tounsi, A. and Bedia, E.A. (2016), "Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory", Struct. Eng. Mech., 57(4), 617-639. https://doi.org/10.12989/sem.2016.57.4.617.
  25. 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, 24(4), 369-378. https://doi.org/10.12989/cac.2019.24.4.369.
  26. Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using (FSDT)", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117.
  27. Du, H., Gao, H.J. and Dai Pang, S. (2016), "Improvement in concrete resistance against water and chloride ingress by adding graphene nanoplatelet", Cement Concrete Res., 83, 114-123. https://doi.org/10.1016/j.cemconres.2016.02.005.
  28. Esawi, A.M.K., Morsi, K., Sayed, A., Taher, M and Lanka, S. (2011), "The influence of carbon nanotube (CNT) morphology and diameter on the processing and properties of CNT-reinforced aluminium composites", Compos. Part A: Appl. Sci. Manuf., 42(3), 234-243. https://doi.org/10.1016/j.compositesa.2010.11.008.
  29. Faleh, N.M., Ahmed, R.A. and Fenjan, R.M. (2018), "On vibrations of porous FG nanoshells", Int. J. Eng. Sci., 133, 1-14. https://doi.org/10.1016/j.ijengsci.2018.08.007.
  30. Fang, M., Wang, K., Lu, H., Yang, Y. and Nutt, S. (2009), "Covalent polymer functionalization of graphene nanosheets and mechanical properties of composites", J. Mater. Chem., 19(38), 7098-7105. https://doi.org/10.1039/B908220D.
  31. Feng, C., Kitipornchai, S. and Yang, J. (2017). Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)", Eng. Struct., 140, 110-119. https://doi.org/10.1016/j.engstruct.2017.02.052.
  32. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities", Coupl. Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  33. Gojny, F.H., Wichmann, M.H.G., Kopke, U., Fiedler, B. and Schulte, K. (2004), "Carbon nanotube-reinforced epoxy-composites: enhanced stiffness and fracture toughness at low nanotube content", Compos. Sci. Technol., 64(15), 2363-2371. https://doi.org/10.1016/j.compscitech.2004.04.002.
  34. Guenaneche, B., Benyoucef, S., Tounsi, A. and Adda Bedia, E.A. (2019), "Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation", Adv. Concrete Constr., 7(3), 151-166. https://doi.org/10.12989/acc.2019.7.3.151.
  35. Hao, P., Wang, B., Du, K., Li, G., Tian, K., Sun, Y. and Ma, Y. (2016), "Imperfection-insensitive design of stiffened conical shells based on equivalent multiple perturbation load approach", Compos. Struct., 136, 405-413. https://doi.org/10.1016/j.compstruct.2015.10.022.
  36. Hellal, H., Bourada, M., Hebali, H., Bourada, F., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory", J. Sandw. Struct. Mater., 1099636219845841. https://doi.org/10.1177%2F1099636219845841.
  37. Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., 7(6), 431. https://doi.org/10.12989/anr.2019.7.6.431.
  38. Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., 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, 25(1), 37. https://doi.org/10.12989/cac.2020.25.1.037.
  39. Keleshteri, M.M., Asadi, H. and Wang, Q. (2017), "Large amplitude vibration of FG-CNT reinforced composite annular plates with integrated piezoelectric layers on elastic foundation", Thin Wall. Struct., 120, 203-214. https://doi.org/10.1016/j.tws.2017.08.035.
  40. King, J.A., Klimek, D.R., Miskioglu, I. and Odegard, G.M. (2013), "Mechanical properties of graphene nanoplatelet/epoxy composites", J. Appl. Polym. Sci., 128(6), 4217-4223. https://doi.org/10.1002/app.38645.
  41. Kitipornchai, S., Chen, D. and Yang, J. (2017), "Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets", Mater. Des., 116, 656-665. https://doi.org/10.1016/j.matdes.2016.12.061.
  42. Lal, A. and Markad, K. (2018), "Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams", Comput. Concrete, 22(6), 501-514. https://doi.org/10.12989/cac.2018.22.6.501.
  43. Liew, K.M., Lei, Z.X. and Zhang, L.W. (2015), "Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review", Compos. Struct., 120, 90-97. https://doi.org/10.1016/j.compstruct.2014.09.041.
  44. Lin, F., Yang, C., Zeng, Q.H and Xiang, Y. (2018), "Morphological and mechanical properties of graphene-reinforced PMMA nanocomposites using a multiscale analysis", Comput. Mater. Sci., 150, 107-120. https://doi.org/10.1016/j.commatsci.2018.03.048
  45. Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S.R. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21(6), 1906-1929. https://doi.org/10.1177%2F1099636217727577. https://doi.org/10.1177/1099636217727577
  46. Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.
  47. Meksi, R., Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2019), "An analytical solution for bending, buckling and vibration responses of FGM sandwich plates", J. Sandw. Struct. Mater., 21(2), 727-757. https://doi.org/10.1177%2F1099636217698443. https://doi.org/10.1177/1099636217698443
  48. Metwally, I.M. (2014), "Three-dimensional finite element analysis of reinforced concrete slabs strengthened with epoxy-bonded steel plates", Adv. Concrete Constr., 2(2), 91. https://doi.org/10.12989/acc.2014.2.2.091.
  49. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2018), "Strain gradient based dynamic response analysis of heterogeneous cylindrical microshells with porosities under a moving load", Mater. Res. Exp., 6(3), 035029. https://doi.org/10.1088/2053-1591/aaf5a2
  50. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019), "Transient response of porous FG nanoplates subjected to various pulse loads based on nonlocal stress-strain gradient theory", Eur. J. Mech.-A/Solid., 74, 210-220. https://doi.org/10.1016/j.euromechsol.2018.11.004.
  51. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019), "Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection", Microsyst. Technol., 25, 3137-3150. https://doi.org/10.1007/s00542-018-4277-4.
  52. Mirjavadi, S.S., Afshari, B.M., Khezel, M., Shafiei, N., Rabby, S. and Kordnejad, M. (2018), "Nonlinear vibration and buckling of functionally graded porous nanoscaled beams", J. Brazil. Soc. Mech. Sci. Eng., 40(7), 352. https://doi.org/10.1007/s00542-018-4277-4.
  53. Mirjavadi, S.S., Afshari, B.M., Shafiei, N., Hamouda, A.M.S. and Kazemi, M. (2017), "Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams", Steel Compos. Struct., 25(4), 415-426. https://doi.org/10.12989/scs.2017.25.4.415.
  54. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Afshari, B.M., Hamouda, A.M.S. and Rabby, S. (2019), "Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency", Eur. Phys. J. Plus, 134(5), 214. https://doi.org/10.1140/epjp/i2019-12540-3.
  55. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Hamouda, A.M.S., Afshari, B.M. and Rabby, S. (2019), "Post-buckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents", Microsyst. Technol., 25(9), 3477-3488. https://doi.org/10.1007/s00542-018-4241-3.
  56. Mirjavadi, S.S., Forsat, M., Hamouda, A.M.S. and Barati, M.R. (2019), "Dynamic response of functionally graded graphene nanoplatelet reinforced shells with porosity distributions under transverse dynamic loads", Mater. Res. Exp., 6(7), 075045. https://doi.org/10.1088/2053-1591/ab1552
  57. Mirjavadi, S.S., Forsat, M., Nikookar, M., Barati, M.R. and Hamouda, A.M.S. (2019), "Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets", Eur. Phys. J. Plus, 134(10), 508. https://doi.org/10.1140/epjp/i2019-12806-8.
  58. Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M. and Kazemi, M. (2017), "On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment", Appl. Phys. A, 123(5), 315. https://doi.org/10.1007/s00339-017-0918-1.
  59. Mohammed, A., Sanjayan, J.G., Nazari, A. and Al-Saadi, N.T.K. (2017), "Effects of graphene oxide in enhancing the performance of concrete exposed to high-temperature", Aust. J. Civil Eng., 15(1), 61-71. https://doi.org/10.1080/14488353.2017.1372849.
  60. 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.
  61. Nieto, A., Bisht, A., Lahiri, D., Zhang, C. and Agarwal, A. (2017), "Graphene reinforced metal and ceramic matrix composites: a review", Int. Mater. Rev., 62(5), 241-302. https://doi.org/10.1080/09506608.2016.1219481.
  62. Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nanocomposites at low graphene content", ACS Nano, 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.
  63. Rezaiee-Pajand, M., Masoodi, A.R. and Mokhtari, M. (2018), "Static analysis of functionally graded non-prismatic sandwich beams", Adv. Comput. Des., 3(2), 165-190. https://doi.org/10.12989/acd.2018.3.2.165.
  64. 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., 33(5), 663. https://doi.org/10.12989/scs.2019.33.5.663.
  65. Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., 7(2), 89. https://doi.org/10.12989/anr.2019.7.2.089.
  66. Shafiei, N., Mirjavadi, S.S., Afshari, B.M., Rabby, S. and Hamouda, A.M.S. (2017), "Nonlinear thermal buckling of axially functionally graded micro and nanobeams", Compos. Struct., 168, 428-439. https://doi.org/10.1016/j.compstruct.2017.02.048.
  67. Shamsaei, E., de Souza, F.B., Yao, X., Benhelal, E., Akbari, A. and Duan, W. (2018), "Graphene-based nanosheets for stronger and more durable concrete: A review", Constr. Build. Mater., 183, 642-660. https://doi.org/10.1016/j.conbuildmat.2018.06.201.
  68. Shen, H.S., Xiang, Y., Lin, F. and Hui, D. (2017), "Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments", Compos. Part B: Eng., 119, 67-78. https://doi.org/10.1016/j.compositesb.2017.03.020.
  69. Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070.
  70. Tlidji, Y., Zidour, M., Draiche, K., Safa, A., Bourada, M., Tounsi, A. and Mahmoud, S.R. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.
  71. Wang, B., Zhu, S., Hao, P., Bi, X., Du, K., Chen, B. and Chao, Y.J. (2018), "Buckling of quasi-perfect cylindrical shell under axial compression: a combined experimental and numerical investigation", Int. J. Solid. Struct., 130, 232-247. https://doi.org/10.1016/j.ijsolstr.2017.09.029.
  72. Wang, L. and Su, R.K.L. (2013), "A unified design procedure for preloaded rectangular RC columns strengthened with post-compressed plates", Adv. Concrete Constr., 1(2), 163. https://doi.org/10.12989/acc.2013.1.2.163.
  73. Yang, B., Yang, J. and Kitipornchai, S. (2017), "Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity", Meccanica, 52(10), 2275-2292. https://doi.org/10.1007/s11012-016-0579-8.
  74. Zaheer, M.M., Jafri, M.S. and Sharma, R. (2019), "Effect of diameter of MWCNT reinforcements on the mechanical properties of cement composites", Adv. Concrete Constr., 8(3), 207-215. https://doi.org/10.12989/acc.2019.8.3.207.
  75. Zaoui, F.Z., Ouinas, D. and Tounsi, A. (2019), "New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations", Compos. Part B: Eng., 159, 231-247. https://doi.org/10.1016/j.compositesb.2018.09.051.
  76. Zaoui, F.Z., Tounsi, A., Ouinas, D. and Olay, J.A.V. (2020), "A refined HSDT for bending and dynamic analysis of FGM plates", Struct. Eng. Mech., 74(1), 105-119. https://doi.org/10.12989/sem.2020.74.1.105.
  77. Zarga, D., Tounsi, A., Bousahla, A.A., Bourada, F. and Mahmoud, S.R. (2019), "Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory", Steel Compos. Struct., 32(3), 389-410. https://doi.org/10.12989/scs.2019.32.3.389.
  78. Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. https://doi.org/10.12989/sem.2015.54.4.693.
  79. Zhang, L.W. (2017), "On the study of the effect of in-plane forces on the frequency parameters of CNT-reinforced composite skew plates", Compos. Struct., 160, 824-837. https://doi.org/10.1016/j.compstruct.2016.10.116.
  80. Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2020), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory", Mech. Adv. Mater. Struct., 27, 3-11. https://doi.org/10.1080/15376494.2018.1444216.

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