References
- Akgoz, B. and Civalek, O. (2017), "A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation", Compos. Struct., 176, 1028-1038. https://doi.org/10.1016/j.compstruct.2017.06.039
- Akgoz, B. and Civalek, O. (2018), "Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment", Compos. Part B: Eng., 150, 68-77. https://doi.org/10.1016/j.compositesb.2018.05.049
- Alibeigi, B., Tadi Beni, Y. and Mehralian, F. (2018), "On the thermal buckling of magneto-electro-elastic piezoelectric nanobeams", Eur. Phys. J. Plus, 133, 133. https://doi.org/10.1140/epjp/i2018-11954-7
- Aydogdu, M. (2014), "On the vibration of aligned carbon nanotube reinforced composite beams", Adv. Nano Res., Int. J., 2(4), 199-210. https://doi.org/10.12989/ANR.2014.2.4.199
- Besseghier, A., Heireche, H., Bousahla, A.A., Tounsi, A. and Benzair, A. (2015), "Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix", Adv. Nano Res., Int. J., 3(1), 29-37. https://doi.org/10.12989/ANR.2015.3.1.029
- Chen, S., Sun, S., Li, C., Pittman, C.U., Lacy, T.E., Hu, S. and Gwaltney, S.R. (2018), "Molecular dynamics simulations of the aggregation behaviour of overlapped graphene sheets in linear aliphatic hydrocarbons", Molecul. Simul., 44(12), 947-953. https://doi.org/10.1080/08927022.2018.1465569
- Dastjerdi, S. and Akgoz, B. (2018), "New static and dynamic analyses of macro and nano FGM plates using exact threedimensional elasticity in thermal environment", Compos. Struct., 192, 626-641. https://doi.org/10.1016/j.compstruct.2018.03.058
- Ebnali Samani, M. and Tadi Beni, Y. (2018), "Size dependent thermo-mechanical buckling of the flexoelectric nanobeam", Mater. Res. Express, 5(8), 085018. https://doi.org/10.1088/2053-1591/aad2ca
- Ebrahimi, F. and Habibi, S. (2017), "Low-velocity impact response of laminated FG-CNT reinforced composite plates in thermal environment", Adv. Nano Res., Int. J., 5(2), 69-97. https://doi.org/10.12989/anr.2017.5.2.069
- Emdadi, M., Mohammadimehr, M. and Navi, B.R. (2019), "Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method", Adv. Nano Res., Int. J., 7(2), 109-123. https://doi.org/10.12989/anr.2019.7.2.109
- Fan, Y., Xiang, Y. and Shen, H.-S. (2019), "Nonlinear forced vibration of FG-GRC laminated plates resting on visco- Pasternak foundations", Compos. Struct., 209, 443-452. https://doi.org/10.1016/j.compstruct.2018.10.084
- Ghobadi, A., Tadi Beni, Y. and Golestanian, H. (2019), "Size dependent thermo-electro-mechanical nonlinear bending analysis of flexoelectric nano-plate in the presence of magnetic field", Int. J. Mech. Sci., 152, 118-137. https://doi.org/10.1016/j.ijmecsci.2018.12.049
- Han, Y. and Elliott, J. (2007)," Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Computat. Mater. Sci., 39(2), 315-323. https://doi.org/10.1016/j.commatsci.2006.06.011
- Huang, B.Z. and Atluri, S.N. (1995), "A simple method to follow post-buckling paths in finite element analysis", Comput. Struct., 57(3), 477-489. https://doi.org/10.1016/0045-7949(94)00623-B
- Jaiganesh, V., Manivannan, S. and Maruthu, B. (2015), "Rapid Prototyping of Polymethyl Methacrylate as Replacement and Support of Spine in Human", Biomed. Res., 26(4), S62-65.
- Jia, L. and Qingsheng, Y. (2009), "Molecular dynamics simulation for mechanical properties of CNT/Polyethylene composites", J. Phys.: Conference Series, 188, 012052. https://doi.org/10.1088/1742-6596/188/1/012052
-
Jia, W., Li, Z., Wu, Z., Wang, L., Wu, B., Wang, Y., Cao, Y. and Li, J. (2018), "Graphene oxide as a filler to improve the performance of
$PAN-LiClO_{4}$ flexible solid polymer electrolyte", Solid State Ionics, 315, 7-13. https://doi.org/10.1016/j.ssi.2017.11.026 - Karimi Zeverdejani, M., Tadi Beni, Y. and Kiani, Y. (2019), "Multi-scale Buckling and Post-buckling analysis of functionally graded Laminated Composite Plates Reinforced by Defective Graphene Sheets", Int. J. Struct. Stabil. Dyn., 2050001 https://doi.org/10.1142/S0219455420500017
- Kaushik, B.K. and Majumder, M.K. (2015), "Carbon Nanotube: Properties and Applications", In: Carbon Nanotube Based VLSI Interconnects: Analysis and Design, (B.K. Kaushik and M.K. Majumder Eds.), New Delhi: Springer India, pp. 17-37.
- Kheibari, F. and Tadi Beni, Y. (2017), "Size dependent electromechanical vibration of single-walled piezoelectric nanotubes using thin shell model", Mater. Des., 114, 572-583. https://doi.org/10.1016/j.matdes.2016.10.041
- Kiani, Y. (2017), "Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading", Acta Mechanica, 228(4), 1303-1319. https:10.1007/s00707-016-1781-4
- Kiani, Y., Dimitri, R. and Tornabene, F. (2018a), "Free vibration of FG-CNT reinforced composite skew cylindrical shells using the Chebyshev-Ritz formulation", Compos. Part B: Eng., 147, 169-177. https://doi.org/10.1016/j.compositesb.2018.04.028
- Kiani, Y., Dimitri, R. and Tornabene, F. (2018b), "Free vibration study of composite conical panels reinforced with FG-CNTs", Eng. Struct., 172, 472-482. https://doi.org/10.1016/j.engstruct.2018.06.006
- Kocman, M., Pykal, M. and Jurecka, P. (2014), "Electric quadrupole moment of graphene and its effect on intermolecular interactions", Phys. Chem. Chem. Phys., 16(7), 3144-3152. https://doi.org/10.1039/c3cp54701a
- Li, Y., Wang, Q. and Wang, S. (2019), "A review on enhancement of mechanical and tribological properties of polymer composites reinforced by carbon nanotubes and graphene sheet: Molecular dynamics simulations", Compos. Part B: Eng., 160, 348-361. https://doi.org/10.1016/j.compositesb.2018.12.026
- Lin, F., Xiang, Y. and Shen, H.-S. (2017), "Temperature dependent mechanical properties of graphene reinforced polymer nanocomposites - A molecular dynamics simulation", Compos. Part B: Eng., 111, 261-269. https://doi.org/10.1016/j.compositesb.2016.12.004
- Malekzadeh, P. and Zarei, A.R. (2014), "Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers", Thin-Wall. Struct., 82, 221-232. https://doi.org/10.1016/j.tws.2014.04.016
- Mehralian, F. and Tadi Beni, Y. (2016), "Size-dependent torsional buckling analysis of functionally graded cylindrical shell", Compos. Part B: Eng., 94, 11-25. https://doi.org/10.1016/j.compositesb.2016.03.048
- Mehralian, F., Tadi Beni, Y. and Ansari, R. (2016a), "On the size dependent buckling of anisotropic piezoelectric cylindrical shells under combined axial compression and lateral pressure", Int. J. Mech. Sci., 119, 155-169. https://doi.org/10.1016/j.ijmecsci.2016.10.006
- Mehralian, F., Tadi Beni, Y. and Ansari, R. (2016b), "Size dependent buckling analysis of functionally graded piezoelectric cylindrical nanoshell", Compos. Struct., 152, 45-61. https://doi.org/10.1016/j.compstruct.2016.05.024
- Mirzaei, M. and Kiani, Y. (2016), "Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels", Compos. Struct., 142, 45-56. https://doi.org/10.1016/j.compstruct.2015.12.071
- Mirzaei, M. and Kiani, Y. (2017), "Isogeometric thermal buckling analysis of temperature dependent FG graphene reinforced laminated plates using NURBS formulation", Compos. Struct., 180, 606-616. https://doi.org/10.1016/j.compstruct.2017.08.057
- Mittal, G., Dhand, V., Rhee, K.Y., Park, S.-J. and Lee, W.R. (2015), "A review on carbon nanotubes and graphene as fillers in reinforced polymer nanocomposites", J. Ind. Eng. Chem., 21, 11-25. https://doi.org/10.1016/j.jiec.2014.03.022
- Mohammadimehr, M., Emdadi, M., Afshari, H. and Rousta Navi, B. (2018), "Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydrothermo-magneto-mechanical loadings using DQM", Int. J. Smart Nano Mater., 9, 233-260. https://doi.org/10.1080/19475411.2017.1377312
- Mohtashami, M. and Tadi Beni, Y. (2019), "Size-Dependent Buckling and Vibrations of Piezoelectric Nanobeam with Finite Element Method", Iran. J. Sci. Technol., Transact. Civil Eng., 43, 563-576. https://doi.org/10.1007/s40996-018-00229-9
- Nemeth, M.P. (1986), "Importance of anisotropy on buckling of compression-loaded symmetric composite plates", AIAA Journal, 24(11), 1831-1835. https://doi.org/10.2514/3.9531
- Nguyen-Quang, K., Vo-Duy, T., Dang-Trung, H. and Nguyen-Thoi, T. (2018), "An isogeometric approach for dynamic response of laminated FG-CNT reinforced composite plates integrated with piezoelectric layers", Comput. Methods Appl. Mech. Eng., 332, 25-46. https://doi.org/10.1016/j.cma.2017.12.010
- Ramanathan, T., Stankovich, S., Dikin, D.A., Liu, H., Shen, H., Nguyen, S.T. and Brinson, L.C. (2007), "Graphitic nanofillers in PMMA nanocomposites-An investigation of particle size and dispersion and their influence on nanocomposite properties", J. Polym. Sci. Part B: Polym. Phys., 45(15), 2097-2112. https://doi.org/10.1002/polb.21187
- Reddy, C.D., Rajendran, S. and Liew, K.M. (2005), "Equivalent continuum modeling of graphene sheets", Int. J. Nanosci., 4(4), 631-636. https://doi.org/10.1142/S0219581X05003528
- Rodriguez-Perez, M., Villanueva-Cab, J. and Pal, U. (2017), "Evaluation of thermally and chemically reduced graphene oxide films as counter electrodes on dye-sensitized solar cells", Adv. Nano Res., Int. J., 5(3), 231-244. https://doi.org/10.12989/anr.2017.5.3.231
- Sakhaee-Pour, A. (2009), "Elastic properties of single-layered graphene sheet", Solid State Commun., 149(1), 91-95. https://doi.org/10.1016/j.ssc.2008.09.050
- Sayyad, A.S. and Ghugal, Y.M. (2014), "On the Buckling of Isotropic, Transversely Isotropic and Laminated Composite Rectangular Plates", Int. J. Struct. Stabil. Dyn., 14, 1450020. https://doi.org/10.1142/S0219455414500205
- Shiu, S.-C. and Tsai, J.-L. (2014), "Characterizing thermal and mechanical properties of graphene/epoxy nanocomposites", Compos. Part B: Eng., 56, 691-697. https://doi.org/10.1016/j.compositesb.2013.09.007
- Shen, H.-S. and Xiang, Y. (2018), "Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments", Thin-Walled Structures, 124, 151-160. https://doi.org/10.1016/j.tws.2017.12.005
- Shen, H.-S. and Xiang, Y. (2019), "Torsional postbuckling behavior of FG-GRC laminated cylindrical shells in thermal environments", Thin-Wall. Struct., 135, 560-574. https://doi.org/10.1016/j.tws.2018.11.025
- Shen, H.-S., Lin, F. and Xiang, Y. (2017a), "Nonlinear bending and thermal postbuckling of functionally graded graphenereinforced composite laminated beams resting on elastic foundations", Eng. Struct., 140, 89-97. https://doi.org/10.1016/j.engstruct.2017.02.069
- Shen, H.-S., Xiang, Y. and Fan, Y. (2017b), "Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical shells in thermal environments", Compos. Struct., 182, 447-456. https://doi.org/10.1016/j.compstruct.2017.09.010
- Shen, H.-S., Xiang, Y., Fan, Y. and Hui, D. (2018), "Nonlinear bending analysis of FG-GRC laminated cylindrical panels on elastic foundations in thermal environments", Compos. Part B: Eng., 141, 148-157. https://doi.org/10.1016/j.compositesb.2017.12.048
- Shojaeian, M. and Tadi Beni, Y. (2015), "Size-dependent electromechanical buckling of functionally graded electrostatic nano-bridges", Sensors Actuators A: Phys., 232, 49-62. https://doi.org/10.1016/j.sna.2015.04.025
- Soleimani, I. and Tadi Beni, Y. (2018), "Vibration analysis of nanotubes based on two-node size dependent axisymmetric shell element", Arch. Civil Mech. Eng., 18, 1345-1358. https://doi.org/10.1016/j.acme.2018.04.009
- Song, M., Yang, J., Kitipornchai, S. and Zhu, W. (2017), "Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates", Int. J. Mech. Sci., 131-132, 345-355. https://doi.org/10.1016/j.ijmecsci.2017.07.017
- Tadi Beni, Y. (2016), "Size-dependent electromechanical bending, buckling, and free vibration analysis of functionally graded piezoelectric nanobeams", J. Intel. Mater. Syst. Struct., 27, 2199-2215. https://doi.org/10.1177/1045389X15624798
- Tadi Beni, Y. and Mehralian, F. (2017), "Size-dependent torsional buckling of carbon nano-peapods based on the modified couple stress theory", Int. J. Appl. Mech., 9(2), 1750030. https://doi.org/10.1142/S1758825117500302
- Tadi Beni, Y., Mehralian, F. and Razavi, H. (2015), "Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory", Compos. Struct., 120, 65-78. https://doi.org/10.1016/j.compstruct.2014.09.065
- Tadi Beni, Y., Karimi Zeverdejani, M. and Mehralian, F. (2017), "Buckling analysis of orthotropic protein microtubules under axial and radial compression based on couple stress theory", Mathe. Biosci., 292, 18-29. https://doi.org/10.1016/j.mbs.2017.07.002
- Tam, M., Yang, Z., Zhao, S. and Yang, L. (2019), "Vibration and buckling characteristics of functionally graded graphene nanoplatelets reinforced composite beams with open edge cracks", Materials, 12, 1412. https://doi.org/10.3390/ma12091412
- Van Krevelen, D.W. and Te Nijenhuis, K. (2009), Chapter 13 - "Mechanical Properties of Solid Polymers", In: Properties of Polymers (Fourth Edition), (D.W. Van Krevelen and K. Te Nijenhuis Eds.), Elsevier, Amsterdam, Netherlands, pp. 383-503.
- Walter, T.R., Bujanda, A.A., Rodriguez-Santiago, V., Yim, J.H., Baeza, J.A. and Pappas, D.D. (2016), "Enhanced Mechanical Performance of Woven Composite Laminates Using Plasma Treated Polymeric Fabrics", In: Advanced Composites for Aerospace, Marine, and Land Applications, (T. Sano, T.S. Srivatsan and M.W. Peretti Eds.), Cham: Springer International Publishing, pp. 231-242.
- Zhang, Y. and Park, S.l. (2018), "Influence of the nanoscaled hybrid based on nanodiamond@graphene oxide architecture on the rheological and thermo-physical performances of carboxylated-polymeric composites", Compos. Part A: Appl. Sci. Manuf., 112, 356-364. https://doi.org/10.1016/j.compositesa.2018.06.020
- Zhang, Y. and Park, S.l. (2019), "Imidazolium-optimized conductive interfaces in multilayer graphene nanoplatelet/epoxy composites for thermal management applications and electroactive devices", Polymer, 168, 53-60. https://doi.org/10.1016/j.polymer.2019.01.086
- Zhang, Y., Ge, X., Li, M., Deng, F., Oh, J. and Cho, U. (2018a), "The properties of rice bran carbon/nitrile-butadiene rubber composites fabricated by latex compounding method", Polym. Compos., 39(S2), E687-E696. https://doi.org/10.1002/pc.24126
- Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2018b), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the firstorder shear deformation theory", Mech. Adv. Mater. Struct., 1-9. https://doi.org/10.1080/15376494.2018.1444216
Cited by
- Free vibration of electro-magneto-thermo sandwich Timoshenko beam made of porous core and GPLRC vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.115