Steel and Composite Structures

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Investigating nonlinear forced vibration behavior of multi-phase nanocomposite annular sector plates using Jacobi elliptic functions

  • Mirjavadi, Seyed Sajad (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Forsat, Masoud (Department of Civil and Architectural Engineering, Qatar University) ;
  • Barati, Mohammad Reza (Fidar project Qaem Company) ;
  • Hamouda, A.M.S. (Department of Mechanical and Industrial Engineering, Qatar University)
  • Received : 2020.02.25
  • Accepted : 2020.05.21
  • Published : 2020.07.10
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Abstract

A multi-scale epoxy/CNT/fiberglass annular sector plate is studied in this paper in the view of determining nonlinear forced vibration characteristics. A 3D Mori-Tanaka model is employed for evaluating multi-scale material properties. Thus, all of glass fibers are assumed to have uni-direction alignment and CNTs have random diffusion. The geometry of annular sector plate can be described based on the open angle and the value of inner/outer radius. In order to solve governing equations and derive exact forced vibration curves for the multi-scale annular sector, Jacobi elliptic functions are used. Obtained results demonstrate the significance of CNT distribution, geometric nonlinearity, applied force, fiberglass volume, open angle and fiber directions on forced vibration characteristics of multi-scale annular sector plates.

Keywords

Acknowledgement

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

References

  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. 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.
  4. 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. https://doi.org/10.1007/s00339-016-0712-5
  5. 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
  6. Barati, M.R. and Zenkour, A.M. (2017), "Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection", Compos. Struct., 181, 194-202. https://doi.org/10.1016/j.compstruct.2017.08.082.
  7. 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.
  8. 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.
  9. Bouamoud, A., Boucham, B., Bourada, F., Houari, M.S.A. and Tounsi, A. (2019), "Thermomechanical bending investigation of FGM sandwich plates using four shear deformation plate theory", Steel Compos. Struct., 32(5), 611-632. https://doi.org/10.12989/scs.2019.32.5.611.
  10. 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.
  11. 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.
  12. 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.
  13. Dai, T., Yang, Y., Dai, H.L., Tang, H. and Lin, Z.Y. (2019), "Hygrothermal mechanical behaviors of a porous FG-CRC annular plate with variable thickness considering aggregation of CNTs", Compos. Struct., 215, 198-213. https://doi.org/10.1016/j.compstruct.2019.02.061.
  14. Dong, Y.H., Li, Y.H., Chen, D. and Yang, J. (2018), "Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion", Compos. Part B: Eng., 145, 1-13. https://doi.org/10.1016/j.compositesb.2018.03.009
  15. Ebrahimi, F., Jafari, A. and Mahesh, V. (2019), "Assessment of porosity influence on dynamic characteristics of smart heterogeneous magneto-electro-elastic plates", Struct. Eng. Mech., 72(1), 113-129. https://doi.org/10.12989/sem.2019.72.1.113.
  16. Feng, C., Kitipornchai, S. and Yang, J. (2017), "Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs)", Compos. Part B: Eng., 110, 132-140. https://doi.org/10.1016/j.compositesb.2016.11.024
  17. Feng, Q. and Meng, F. (2017), "Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method", Math. Method. Appl. Sci., 40(10), 3676-3686. https://doi.org/10.1002/mma.4254.
  18. 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.
  19. 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.
  20. Houari, T., Bessaim, A., Houari, M.S.A., Benguediab, M. and Tounsi, A. (2018), "Bending analysis of advanced composite plates using a new quasi 3D plate theory", Steel Compos. Struct., 26(5), 557-572. https://doi.org/10.12989/scs.2018.26.5.557.
  21. 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.
  22. Khiloun, M., Bousahla, A.A., Kaci, A., Bessaim, A., Tounsi, A. and Mahmoud, S.R. (2019), "Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT", Eng. with Comput., 1-15. https://doi.org/10.1007/s00366-019-00732-1.
  23. Khosravi, F., Hosseini, S.A. and Tounsi, A. (2020), "Torsional dynamic response of viscoelastic SWCNT subjected to linear and harmonic torques with general boundary conditions via Eringen's nonlocal differential model", Eur. Physical J. Plus, 135(2), 183. https://doi.org/10.1140/epjp/s13360-020-00207-z.
  24. Kazakov, I.A., Krasnovskii, A.N. and Kishuk, P.S. (2019), "The influence of randomly oriented CNTs on the elastic properties of unidirectionally aligned composites", Mech. Mater., 134, 54-60. https://doi.org/10.1016/j.mechmat.2019.04.002.
  25. Keleshteri, M.M., Asadi, H. and Aghdam, M.M. (2019), "Nonlinear bending analysis of FG-CNTRC annular plates with variable thickness on elastic foundation", Thin-Wall. Struct., 135, 453-462. https://doi.org/10.1016/j.tws.2018.11.020.
  26. Liu, D., Li, Z., Kitipornchai, S. and Yang, J. (2019), "Three-dimensional free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite annular plates", Compos. Struct., 229, 111453. https://doi.org/10.1016/j.compstruct.2019.111453.
  27. Mahesh, V., Sagar, P.J. and Kattimani, S. (2018), "Influence of coupled fields on free vibration and static behavior of functionally graded magneto-electro-thermo-elastic plate", J. Intel. Mat. Syst. Str., 29(7), 1430-1455. https://doi.org/10.1177/1045389X17740739
  28. Mahesh, V. and Kattimani, S. (2019), "Finite element simulation of controlled frequency response of skew multiphase magneto-electro-elastic plates", J. Intel. Mat. Syst. Str., 30(12), 1757-1771. https://doi.org/10.1177/1045389X19843674
  29. Mahesh, V., Kattimani, S., Harursampath, D. and Trung, N.T. (2019), "Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment", Smart Struct. Syst., 24(2), 267-292. https://doi.org/10.12989/sss.2019.24.2.267.
  30. 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
  31. 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.
  32. 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
  33. Marynowski, K. (2017), "Free vibration analysis of an axially moving multiscale composite plate including thermal effect", Int. J. Mech. Sci., 120, 62-69. https://doi.org/10.1016/j.ijmecsci.2016.11.013.
  34. 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
  35. 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.
  36. 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. Express, 6(3), 035029. https://doi.org/10.1088/2053-1591/aaf5a2
  37. 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. Brazilian Soc. Mech. Sci. Eng., 40(7), 352. https://doi.org/10.1007/s40430-018-1272-8
  38. 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. Express, 6(7), 075045. https://doi.org/10.1088/2053-1591/ab1552
  39. 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
  40. 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/Solids, 74, 210-220. https://doi.org/10.1016/j.euromechsol.2018.11.004
  41. 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. Technologies, 25, 3137-3150. https://doi.org/10.1007/s00542-018-4277-4
  42. 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. Technologies, 25(9), 3477-3488. https://doi.org/10.1007/s00542-018-4241-3
  43. 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
  44. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta metallurgica, 21(5), 571-574. https://doi.org/10.1016/0001-6160(73)90064-3.
  45. Rahmani, M.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A. 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, 25(3), 225-244. https://doi.org/10.12989/cac.2020.25.3.225.
  46. Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A. and Tounsi, A. (2020), "Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, 25(4), 311-325. https://doi.org/10.12989/cac.2020.25.4.311.
  47. Safaei, B., Moradi-Dastjerdi, R., Qin, Z. and Chu, F. (2019). "Frequency-dependent forced vibration analysis of nanocomposite sandwich plate under thermo-mechanical loads", Compos. Part B: Eng., 161, 44-54. https://doi.org/10.1016/j.compositesb.2018.10.049
  48. Safarpour, M., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "Frequency characteristics of FG-GPLRC viscoelastic thick annular plate with the aid of GDQM", Thin-Wall. Struct., 150, 106683. https://doi.org/10.1016/j.tws.2020.106683.
  49. 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.
  50. 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.
  51. Soltani, K., Bessaim, A., Houari, M.S.A., Kaci, A., Benguediab, M., Tounsi, A. and Alhodaly, M.S. (2019), "A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations", Steel Compos. Struct., 30(1), 13-29. https://doi.org/10.12989/scs.2019.30.1.013.
  52. Thanh, C.L., Tran, L.V., Vu-Huu, T. and Abdel-Wahab, M. (2019), "The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis", Comput. Method. Appl. M., 350, 337-361. https://doi.org/10.1016/j.cma.2019.02.028.
  53. 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.
  54. 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., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.
  55. Vinyas, M. and Kattimani, S.C. (2017), "A finite element based assessment of static behavior of multiphase magneto-electro-elastic beams under different thermal loading", Struct. Eng. Mech., 62(5), 519-535. https://doi.org/10.12989/sem.2017.62.5.519.
  56. Vinyas, M. and Kattimani, S.C. (2017), "Static analysis of stepped functionally graded magneto-electro-elastic plates in thermal environment: a finite element study", Compos. Struct., 178, 63-86. https://doi.org/10.1016/j.compstruct.2017.06.068
  57. Vinyas, M. and Kattimani, S.C. (2017), "Hygrothermal analysis of magneto-electro-elastic plate using 3D finite element analysis", Compos. Struct., 180, 617-637. https://doi.org/10.1016/j.compstruct.2017.08.015
  58. Vinyas, M. and Kattimani, S.C. (2017), "A 3D finite element static and free vibration analysis of magneto-electro-elastic beam", Coupled Syst. Mech., 6(4), 465-485. https://doi.org/10.12989/csm.2017.6.4.465.
  59. Vinyas, M. and Kattimani, S.C. (2018), "Investigation of the effect of BaTiO3/CoFe2O4 particle arrangement on the static response of magneto-electro-thermo-elastic plates", Compo. Struct., 185, 51-64. https://doi.org/10.1016/j.compstruct.2017.10.073
  60. Vinyas, M., Sandeep, A.S., Nguyen-Thoi, T., Ebrahimi, F. and Duc, D.N. (2019), "A finite element-based assessment of free vibration behaviour of circular and annular magneto-electro-elastic plates using higher order shear deformation theory", J. Intel. Mat. Syst. Str., 30(16), 2478-2501. https://doi.org/10.1177/1045389X19862386
  61. Vinyas, M., Nischith, G., Loja, M.A.R., Ebrahimi, F. and Duc, N.D. (2019), "Numerical analysis of the vibration response of skew magneto-electro-elastic plates based on the higher-order shear deformation theory", Compos. Struct., 214, 132-142. https://doi.org/10.1016/j.compstruct.2019.02.010
  62. Vinyas, M., Harursampath, D. and Nguyen-Thoi, T. (2019), "Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges", Defence Technology.
  63. Vinyas, M. (2020), "Computational analysis of smart magneto-electro-elastic materials and structures: Review and classification", Arch. Comput. Method. E., 1-44. https://doi.org/10.1007/s11831-020-09406-4.
  64. Vinyas, M. (2020), "On frequency response of porous functionally graded magneto-electro-elastic circular and annular plates with different electro-magnetic conditions using HSDT", Compos. Struct., 240, 112044. https://doi.org/10.1016/j.compstruct.2020.112044.
  65. Vinyas, M. (2020), "Interphase effect on the controlled frequency response of three-phase smart magneto-electro-elastic plates embedded with active constrained layer damping: FE study", Mater. Res. Express, 6(12), 125707. https://doi.org/10.1088/2053-1591/ab6649
  66. Vinyas, M., Harursampath, D. and Thoi, T.N. (2020), "A higher order coupled frequency characteristics study of smart magneto-electro-elastic composite plates with cut-outs using finite element methods", Defence Technology, https://doi.org/10.1016/j.dt.2020.02.009.
  67. Vo, T.P., Thai, H.T., Nguyen, T.K., Lanc, D. and Karamanli, A. (2017), "Flexural analysis of laminated composite and sandwich beams using a four-unknown shear and normal deformation theory", Compos. Struct., 176, 388-397. https://doi.org/10.1016/j.compstruct.2017.05.041
  68. Wang, Y., Zeng, R. and Safarpour, M. (2020), "Vibration analysis of FG-GPLRC annular plate in a thermal environment", Mech. Based Des. Struc., 1-19. https://doi.org/10.1080/15397734.2020.1719508.
  69. Wattanasakulpong, N. and Chaikittiratana, A. (2015), "Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation", Appl. Math. Model., 39(18), 5459-5472. https://doi.org/10.1016/j.apm.2014.12.058.
  70. Wu, H., Kitipornchai, S. and Yang, J. (2017), "Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates", Mater. Design, 132, 430-441. https://doi.org/10.1016/j.matdes.2017.07.025.
  71. 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.
  72. 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.
  73. Zhang, L.W., Zhang, Y. and Liew, K.M. (2017), "Vibration analysis of quadrilateral graphene sheets subjected to an in-plane magnetic field based on nonlocal elasticity theory", Compos. Part B: Eng., 118, 96-103. https://doi.org/10.1016/j.compositesb.2017.03.017
  74. Zhao, Z., Feng, C., Wang, Y. and Yang, J. (2017), "Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)", Compos. Struct., 180, 799-808. https://doi.org/10.1016/j.compstruct.2017.08.044.

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