Thermal buckling analysis of embedded graphene-oxide powder-reinforced nanocomposite plates |
Ebrahimi, Farzad
(Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Nouraei, Mostafa (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University) Dabbagh, Ali (School of Mechanical Engineering, College of Engineering, University of Tehran) Rabczuk, Timon (Institute of Structural Mechanics (ISM), Bauhaus-University Weimar) |
1 | 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 DOI |
2 | Zhen, W. and Wanji, C. (2006), "Free vibration of laminated composite and sandwich plates using global-local higher-order theory", J. Sound Vib., 298, 333-349. https://doi.org/10.1016/j.jsv.2006.05.022 DOI |
3 | Zhu, P., Lei, Z. 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, 1450-1460. https://doi.org/10.1016/j.compstruct.2011.11.010 DOI |
4 | Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., Int. J., 25(6), 693-704. https://doi.org/10.12989/scs.2017.25.6.693 |
5 | Arefi, M., Bidgoli, E.M.-R., Dimitri, R., Bacciocchi, M. and Tornabene, F. (2019), "Nonlocal bending analysis of curved nanobeams reinforced by graphene nanoplatelets", Compos. Part B: Eng., 166, 1-12. https://doi.org/10.1021/nl0731872 DOI |
6 | Akgoz, B. and Civalek, O. (2013), "Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity", Struct. Eng. Mech., Int. J., 48(2), 195-205. https://doi.org/10.12989/sem.2013.48.2.195 DOI |
7 | Anlas, G. and Goker, G. (2001), "Vibration analysis of skew fibre-reinforced composite laminated plates", J. Sound Vib., 242, 265-276. https://doi.org/10.1006/jsvi.2000.3366 DOI |
8 | Arani, A.G., Maghamikia, S., Mohammadimehr, M. and Arefmanesh, A. (2011), "Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods", J. Mech. Sci. Technol., 25, 809-820. https://doi.org/10.1007/s12206-011-0127-3 DOI |
9 | Bakhadda, B., Bouiadjra, M.B., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., Int. J., 27(5), 311-324. https://doi.org/10.12989/was.2018.27.5.311 |
10 | Balandin, A.A., Ghosh, S., Bao, W., Calizo, I., Teweldebrhan, D., Miao, F. and Lau, C.N. (2008), "Superior thermal conductivity of single-layer graphene", Nano Letters, 8, 902-907. https://doi.org/10.1021/nl0731872 DOI |
11 | Baltacioglu, A., Civalek, O., Akgoz, B. and Demir, F. (2011), "Large deflection analysis of laminated composite plates resting on nonlinear elastic foundations by the method of discrete singular convolution", Int. J. Press. Vessels Pip., 88, 290-300. https://doi.org/10.1016/j.ijpvp.2011.06.004 DOI |
12 | Barati, M.R. (2017), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., Int. J., 5(4), 393-414. https://doi.org/10.12989/anr.2017.5.4.393 DOI |
13 | Bouhadra, A., Tounsi, A., Bousahla, A.A., Benyoucef, S. and Mahmoud, S. (2018), "Improved HSDT accounting for effect of thickness stretching in advanced composite plates", Struct. Eng. Mech., Int. J., 66(1), 61-73. https://doi.org/10.12989/sem.2018.66.1.061 |
14 | 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 DOI |
15 | Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., Int. J., 62(6), 695-702. https://doi.org/10.12989/sem.2017.62.6.695 |
16 | 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., Int. J., 6(2), 147-162. https://doi.org/10.12989/anr.2018.6.2.147 |
17 | 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 |
18 | Cai, W., Moore, A.L., Zhu, Y., Li, X., Chen, S., Shi, L. and Ruoff, R.S. (2010), "Thermal transport in suspended and supported monolayer graphene grown by chemical vapor deposition", Nano Lett., 10, 1645-1651. https://doi.org/10.1021/nl9041966 DOI |
19 | Ebrahimi, F. and Barati, M.R. (2016a), "Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory", Int. J. Smart Nano Mater., 7(3), 119-143. https://doi.org/10.1080/19475411.2016.1223203 DOI |
20 | Ebrahimi, F. and Barati, M.R. (2016b), "Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment", J. Vib. Control, 24(3), 549-564. https://doi.org/10.1177/1077546316646239 DOI |
21 | Ebrahimi, F. and Barati, M.R. (2016c), "Size-dependent thermal stability analysis of graded piezomagnetic nanoplates on elastic medium subjected to various thermal environments", Appl. Phys. A, 122(10), 910. https://doi.org/10.1007/s00339-016-0441-9 DOI |
22 | Ebrahimi, F. and Barati, M.R. (2016d), "Static stability analysis of smart magneto-electro-elastic heterogeneous nanoplates embedded in an elastic medium based on a four-variable refined plate theory", Smart Mater. Struct., 25(10), 105014. https://doi.org/10.1088/0964-1726/25/10/105014 DOI |
23 | Ebrahimi, F. and Barati, M.R. (2016e), "Buckling analysis of piezoelectrically actuated smart nanoscale plates subjected to magnetic field", J. Intel. Mater. Syst. Struct., 28(11), 1472-1490. https://doi.org/10.1177/1045389X16672569 DOI |
24 | Ebrahimi, F. and Barati, M.R. (2016f), "A nonlocal higher-order shear deformation beam theory for vibration analysis of size-dependent functionally graded nanobeams", Arab. J. Sci. Eng., 41(5), 1679-1690. https://doi.org/10.1007/s13369-015-1930-4 DOI |
25 | Ebrahimi, F. and Barati, M.R. (2016g), "Vibration analysis of nonlocal beams made of functionally graded material in thermal environment", Eur. Phys. J. Plus, 131(8), 279. https://doi.org/10.1140/epjp/i2016-16279-y DOI |
26 | Ebrahimi, F." and Barati, M.R. (2016h), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys. A, 122(4), 1-18. https://doi.org/10.1007/s00339-016-0001-3 |
27 | Ebrahimi, F. and Barati, M.R. (2016i), "A unified formulation for dynamic analysis of nonlocal heterogeneous nanobeams in hygro-thermal environment", Appl. Phys. A, 122(9), 792. https://doi.org/10.1007/s00339-016-0322-2 DOI |
28 | Ebrahimi, F. and Barati, M.R. (2016l), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 39(3), 937-952. https://doi.org/10.1007/s40430-016-0551-5 DOI |
29 | Ebrahimi, F. and Barati, M.R. (2016j), "A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures", Int. J. Eng. Sci., 107, 183-196. https://doi.org/10.1016/j.ijengsci.2016.08.001 DOI |
30 | Ebrahimi, F. and Barati, M.R. (2016k), "Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory", Compos. Struct., 159, 433-444. https://doi.org/10.1016/j.compstruct.2016.09.092 DOI |
31 | Ebrahimi, F. and Barati, M.R. (2016m), "Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams", Eur. Phys. J. Plus, 131(7), 1-14. https://doi.org/10.1140/epjp/i2016-16238-8 DOI |
32 | Ebrahimi, F. and Barati, M.R. (2016n), "Buckling analysis of smart size-dependent higher order magneto-electro-thermo-elastic functionally graded nanosize beams", J. Mech., 1-11. https://doi.org/10.1017/jmech.2016.46 |
33 | Ebrahimi, F. and Barati, M.R. (2017), "A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams", Compos. Struct., 159, 174-182. https://doi.org/10.1016/j.compstruct.2016.09.058 DOI |
34 | Ebrahimi, F. and Barati, M.R. (2019), "On static stability of electro-magnetically affected smart magneto-electro-elastic nanoplates", Adv. Nano Res., Int. J., 7(1), 63-75. https://doi.org/10.12989/anr.2019.7.1.063 |
35 | Ebrahimi, F. and Dabbagh, A. (2016), "On flexural wave propagation responses of smart FG magneto-electro-elastic nanoplates via nonlocal strain gradient theory", Compos. Struct., 162, 281-293. https://doi.org/10.1016/j.compstruct.2016.11.058 DOI |
36 | Ebrahimi, F. and Hosseini, S.H.S. (2016a), "Thermal effects on nonlinear vibration behavior of viscoelastic nanosize plates", J. Thermal Stresses, 39(5), 606-625. https://doi.org/10.1080/01495739.2016.1160684 DOI |
37 | Ebrahimi, F. and Farazmandnia, N. (2017), "Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory", Mech. Adv. Mater. Struct., 24, 820-829. https://doi.org/10.1080/15376494.2016.1196786 DOI |
38 | Ebrahimi, F. and Haghi, P. (2018a), "Elastic wave dispersion modelling within rotating functionally graded nanobeams in thermal environment", Adv. Nano Res., Int. J., 6(3), 201-217. https://doi.org/10.12989/anr.2018.6.3.201 DOI |
39 | Ebrahimi, F. and Haghi, P. (2018b), "A nonlocal strain gradient theory for scale-dependent wave dispersion analysis of rotating nanobeams considering physical field effects", Coupl. Syst. Mech., Int. J., 7(4), 373-393. https://doi.org/10.12989/csm.2018.7.4.373 |
40 | Ebrahimi, F. and Rostami, P. (2018), "Wave propagation analysis of carbon nanotube reinforced composite beams", Eur. Phys. J. Plus, 133, 285. https://doi.org/10.1140/epjp/i2018-12069-y DOI |
41 | Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107, 169-182. https://doi.org/10.1016/j.ijengsci.2016.07.008 DOI |
42 | Ebrahimi, F., Barati, M.R. and Haghi, P. (2018a), "Wave propagation analysis of size-dependent rotating inhomogeneous nanobeams based on nonlocal elasticity theory", J. Vib. Control, 24, 3809-3818. https://doi.org/10.1177/1077546317711537 DOI |
43 | Formica, G., Lacarbonara, W. and Alessi, R. (2010), "Vibrations of carbon nanotube-reinforced composites", J. Sound Vib., 329, 1875-1889. https://doi.org/10.1016/j.jsv.2009.11.020 DOI |
44 | Ebrahimi, F., Haghi, P. and Zenkour, A.M. (2018b), "Modelling of thermally affected elastic wave propagation within rotating Mori-Tanaka-based heterogeneous nanostructures", Microsyst. Technol., 24, 2683-2693. https://doi.org/10.1007/s00542-018-3800-y DOI |
45 | Ebrahimi, F., Dehghan, M. and Seyfi, A. (2019), "Eringen's nonlocal elasticity theory for wave propagation analysis of magneto-electro-elastic nanotubes", Adv. Nano Res., Int. J., 7(1), 1-11. https://doi.org/10.12989/anr.2019.7.1.001 |
46 | 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 DOI |
47 | Ebrahimi, F. and Hosseini, S.H.S. (2016b), "Double nanoplate-based NEMS under hydrostatic and electrostatic actuations", Eur. Phys. J. Plus, 131(5), 1-19. https://doi.org/10.1140/epjp/i2016-16160-1 DOI |
48 | Gomez-Navarro, C., Burghard, M. and Kern, K. (2008), "Elastic properties of chemically derived single graphene sheets", Nano Letters, 8, 2045-2049. https://doi.org/10.1021/nl801384y DOI |
49 | Kant, T. and Babu, C. (2000), "Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models", Compos. Struct., 49, 77-85. https://doi.org/10.1016/S0263-8223(99)00127-0 DOI |
50 | Karami, B., Janghorban, M. and Tounsi, A. (2017), "Effects of triaxial magnetic field on the anisotropic nanoplates", Steel Compos. Struct., Int. J., 25(3), 361-374. https://doi.org/10.12989/scs.2017.25.3.361 |
51 | Liu, G., Chen, X. and Reddy, J. (2002), "Buckling of symmetrically laminated composite plates using the element-free Galerkin method", Int. J. Struct. Stabil. Dyn., 2, 281-294. https://doi.org/10.1142/S0219455402000634 DOI |
52 | Kiani, Y. (2019), "Buckling of functionally graded graphene reinforced conical shells under external pressure in thermal environment", Compos. Part B: Eng., 156, 128-137. https://doi.org/10.1016/j.compstruct.2012.11.006 DOI |
53 | Lei, Z., Liew, K. and Yu, J. (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 DOI |
54 | Liew, K., Lei, Z., Yu, J. and Zhang, L. (2014), "Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach", Comput. Methods Appl. Mech. Eng., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001 DOI |
55 | Mehar, K., Panda, S.K., Devarajan, Y. and Choubey, G. (2019), "Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading", Compos. Struct., 216, 406-414. https://doi.org/10.1016/j.compstruct.2019.03.002 DOI |
56 | Menasria, A., Bouhadra, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plates", Steel Compos. Struct., Int. J., 25(2), 157-175. https://doi.org/10.12989/scs.2017.25.2.157 |
57 | Mikoushkin, V., Shnitov, V., Nikonov, S.Y., Dideykin, A., Vul, A.Y., Sakseev, D., Vyalikh, D. and Vilkov, O.Y. (2011), "Controlling graphite oxide bandgap width by reduction in hydrogen", Techn. Phys. Lett., 37, 942. https://doi.org/10.1134/S1063785011100257 DOI |
58 | Potts, J.R., Dreyer, D.R., Bielawski, C.W. and Ruoff, R.S. (2011), "Graphene-based polymer nanocomposites", Polymer, 52, 5-25. https://doi.org/10.1016/j.polymer.2010.11.042 DOI |
59 | Qaderi, S., Ebrahimi, F. and Seyfi, A. (2019), "An investigation of the vibration of multi-layer composite beams reinforced by graphene platelets resting on two parameter viscoelastic foundation", SN Applied Sciences, 1, 399. https://doi.org/10.1007/s42452-019-0252-7 DOI |
60 | Pradhan, S.C. and Phadikar, J.K. (2011), "Nonlocal theory for buckling of nanoplates", Int. J. Struct. Stabil. Dyn., 11(3), 411-429. https://doi.org/10.1142/S021945541100418X DOI |
61 | Qiao, P., Zou, G. and Davalos, J.F. (2003), "Flexural-torsional buckling of fiber-reinforced plastic composite cantilever I-beams", Compos. Struct., 60, 205-217. https://doi.org/10.1016/S0263-8223(02)00304-5 DOI |
62 | Safarpour, H., Ghanbari, B. and Ghadiri, M. (2019), "Buckling and free vibration analysis of high speed rotating carbon nanotube reinforced cylindrical piezoelectric shell", Appl. Math. Model., 65, 428-442. https://doi.org/10.1016/j.apm.2018.08.028 DOI |
63 | Shan, L. and Qiao, P. (2005), "Flexural-torsional buckling of fiber-reinforced plastic composite open channel beams", Compos. Struct., 68, 211-224. https://doi.org/10.1016/j.compstruct.2004.03.015 DOI |
64 | Shariyat, M. (2010), "A generalized global-local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads", Int. J. Mech. Sci., 52, 495-514. https://doi.org/10.1016/j.ijmecsci.2009.11.010 DOI |
65 | Shen, H.-S. and Xiang, Y. (2012), "Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments", Comput. Methods Appl. Mech. Eng., 213, 196-205. https://doi.org/10.1016/j.cma.2011.11.025 DOI |
66 | Shen, H.-S. and Zhang, C.-L. (2010), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates", Mater. Des., 31, 3403-3411. https://doi.org/10.1016/j.matdes.2010.01.048 DOI |
67 | Sobhani, A., Saeedifar, M., Najafabadi, M.A., Fotouhi, M. and Zarouchas, D. (2018), "The study of buckling and post-buckling behavior of laminated composites consisting multiple delaminations using acoustic emission", Thin-Wall. Struct., 127, 145-156. https://doi.org/10.1016/j.tws.2018.02.011 DOI |
68 | Shen, H.-S., Xiang, Y. and Lin, F. (2017a), "Nonlinear bending of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations in thermal environments", Compos. Struct., 170, 80-90. https://doi.org/10.1016/j.compstruct.2017.03.001 DOI |
69 | Shen, H.-S., Xiang, Y. and Lin, F. (2017b), "Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments", Comput. Methods Appl. Mech. Eng., 319, 175-193. https://doi.org/10.1016/j.matdes.2010.01.048 DOI |
70 | Shojaee, S., Valizadeh, N., Izadpanah, E., Bui, T. and Vu, T.-V. (2012), "Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method", Compos. Struct., 94, 1677-1693. https://doi.org/10.1016/j.compstruct.2012.01.012 DOI |
71 | Song, M., Yang, J. and Kitipornchai, S. (2018), "Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Part B: Eng., 134, 106-113. https://doi.org/10.1016/j.compositesb.2017.09.043 DOI |
72 | Suk, J.W., Piner, R.D., An, J. and Ruoff, R.S. (2010), "Mechanical properties of monolayer graphene oxide", ACS Nano, 4, 6557-6564. https://doi.org/10.1021/nn101781v DOI |
73 | Thai, C.H., Nguyen-Xuan, H., Nguyen-Thanh, N., Le, T.H., Nguyen-Thoi, T. and Rabczuk, T. (2012), "Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach", Int. J. Numer. Methods Eng., 91, 571-603. https://doi.org/10.1002/nme.4282 DOI |
74 | Tounsi, A., Benguediab, S., Adda, B., Semmah, A., and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., Int. J., 1(1), 1-11. https://doi.org/10.12989/anr.2013.1.1.001 DOI |
75 | Thai, C.H., Ferreira, A., Tran, T. and Phung-Van, P. (2019), "Free vibration, buckling and bending analyses of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation", Compos. Struct., 220, 749-759. https://doi.org/10.1016/j.compstruct.2019.03.100 DOI |
76 | Torabi, J., Ansari, R. and Hassani, R. (2019), "Numerical study on the thermal buckling analysis of CNT-reinforced composite plates with different shapes based on the higher-order shear deformation theory", Eur. J. Mech.-A/Solids, 73, 144-160. https://doi.org/10.1016/j.euromechsol.2018.07.009 DOI |
77 | Tornabene, F., Fantuzzi, N., Viola, E. and Carrera, E. (2014), "Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method", Compos. Struct., 107, 675-697. https://doi.org/10.1016/j.compstruct.2013.08.038 DOI |
78 | Urthaler, Y. and Reddy, J. (2008), "A mixed finite element for the nonlinear bending analysis of laminated composite plates based on FSDT", Mech. Adv. Mater. Struct., 15, 335-354. https://doi.org/10.1080/15376490802045671 DOI |
79 | Van Es, M. (2001), "Polymer-clay nanocomposites", Ph.D. Thesis; Delft University, Delft, Netherlands. |
80 | Wang, Z.-X. and Shen, H.-S. (2011), "Nonlinear vibration of nanotube-reinforced composite plates in thermal environments", Computat. Mater. Sci., 50, 2319-2330. https://doi.org/10.1016/j.commatsci.2011.03.005 DOI |
81 | Wang, Q., Shi, D., Liang, Q. and Pang, F. (2017), "Free vibrations of composite laminated doubly-curved shells and panels of revolution with general elastic restraints", Appl. Math. Model., 46, 227-262. https://doi.org/10.1016/j.apm.2017.01.070 DOI |
82 | Yas, M. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Vessels Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012 DOI |
83 | Wattanasakulpong, N. and Ungbhakorn, V. (2013), "Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation", Computat. Mater. Sci., 71, 201-208. https://doi.org/10.1016/j.commatsci.2013.01.028 DOI |
84 | Wu, H., Yang, J. and Kitipornchai, S. (2016), "Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections", Compos. Part B: Eng., 90, 86-96. https://doi.org/10.1016/j.compositesb.2015.12.007 DOI |
85 | Yang, J., Wu, H. and Kitipornchai, S. (2017), "Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams", Compos. Struct., 161, 111-118. https://doi.org/10.1016/j.compstruct.2016.11.048 DOI |
86 | Yazid, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., Int. J., 21(1), 15-25. https://doi.org/10.12989/sss.2018.21.1.015 |
87 | Zhang, L., Lei, Z. and Liew, K. (2015), "Vibration characteristic of moderately thick functionally graded carbon nanotube reinforced composite skew plates", Compos. Struct., 122, 172-183. https://doi.org/10.1016/j.ijpvp.2012.07.012 DOI |
88 | Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2018), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory", Mech. Adv. Mater. Struct., 1-9. https://doi.org/10.1080/15376494.2018.1444216 |