Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)

Engineering Structures - Tập 140 - Trang 110-119 - 2017
Chuang Feng1, Sritawat Kitipornchai2, Jie Yang1
1School of Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia
2School of Civil Engineering, The University of Queensland, St. Lucia, Brisbane, QLD 4072, Australia

Tài liệu tham khảo

Tjong, 2012 Zaman, 2012, From carbon nanotubes and silicate layers to graphene platelets for polymer nanocomposites, Nanoscale, 4, 4578, 10.1039/c2nr30837a Zaman, 2011, Epoxy/graphene platelets nanocomposites with two levels of interface strength, Polymer, 52, 1603, 10.1016/j.polymer.2011.02.003 Rafiee, 2009, Enhanced mechanical properties of nanocomposites at low graphene content, ACS Nano, 3, 3884, 10.1021/nn9010472 Shokrieh, 2014, Stiffness prediction of graphene nanoplatelet/epoxy nanocomposites by a combined molecular dynamics–micromechanics method, Comput Mater Sci, 92, 444, 10.1016/j.commatsci.2014.06.002 Kuilla, 2010, Recent advances in graphene based polymer composites, Prog Polym Sci, 35, 1350, 10.1016/j.progpolymsci.2010.07.005 Zhao, 2010, Enhanced mechanical properties of graphene-based poly (vinyl alcohol) composites, Macromolecules, 43, 2357, 10.1021/ma902862u Tang, 2013, The effect of graphene dispersion on the mechanical properties of graphene/epoxy composites, Carbon, 60, 16, 10.1016/j.carbon.2013.03.050 Yadav, 2013, Functionalized graphene nanoplatelets for enhanced mechanical and thermal properties of polyurethane nanocomposites, Appl Surf Sci, 266, 360, 10.1016/j.apsusc.2012.12.028 Potts, 2011, Graphene-based polymer nanocomposites, Polymer, 52, 5, 10.1016/j.polymer.2010.11.042 Liang, 2009, Molecular-level dispersion of graphene into poly (vinyl alcohol) and effective reinforcement of their nanocomposites, Adv Funct Mater, 19, 2297, 10.1002/adfm.200801776 Lee, 2012, Functionalized graphene sheets-epoxy based nanocomposite for cryotank composite application, Polym Compos, 33, 1263, 10.1002/pc.22251 Rahman, 2013, Molecular modeling of crosslinked graphene–epoxy nanocomposites for characterization of elastic constants and interfacial properties, Compos Part B: Eng, 54, 353, 10.1016/j.compositesb.2013.05.034 Ji, 2010, Micromechanics prediction of the effective elastic moduli of graphene sheet-reinforced polymer nanocomposites, Modell Simul Mater Sci Eng, 18, 045005, 10.1088/0965-0393/18/4/045005 Spanos, 2015, Mechanical properties of graphene nanocomposites: a multiscale finite element prediction, Compos Struct, 132, 536, 10.1016/j.compstruct.2015.05.078 Cho, 2007, Mechanical characterization of graphite/epoxy nanocomposites by multi-scale analysis, Compos Sci Technol, 67, 2399, 10.1016/j.compscitech.2007.01.006 Suresh, 1998, Fundamentals of functionally graded materials, Inst. Mater. Yang, 2006, Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates, Int J Solids Struct, 43, 5247, 10.1016/j.ijsolstr.2005.06.061 Ganapathi, 2007, Dynamic stability characteristics of functionally graded materials shallow spherical shells, Compos Struct, 79, 338, 10.1016/j.compstruct.2006.01.012 Zhang, 2010, Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory, Nonlinear Dyn, 59, 619, 10.1007/s11071-009-9568-y Rafiee, 2013, Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers, Compos Struct, 96, 716, 10.1016/j.compstruct.2012.10.005 Shen, 2007, Thermal postbuckling behavior of shear deformable FGM plates with temperature-dependent properties, Int J Mech Sci, 49, 466, 10.1016/j.ijmecsci.2006.09.011 Yang, 2003, Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions, Compos Part B: Eng, 34, 103, 10.1016/S1359-8368(02)00083-5 Reddy, 2000, Analysis of functionally graded plates, Int J Numer Methods Eng, 47, 663, 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8 Wu, 2016, Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections, Compos Part B: Eng, 90, 86, 10.1016/j.compositesb.2015.12.007 Ke, 2013, Axisymmetric nonlinear free vibration of size-dependent functionally graded annular microplates, Compos Part B: Eng, 53, 207, 10.1016/j.compositesb.2013.04.066 Praveen, 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int J Solids Struct, 35, 4457, 10.1016/S0020-7683(97)00253-9 Shen, 2003, Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments, Eng Struct, 25, 487, 10.1016/S0141-0296(02)00191-8 Shen, 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos Struct, 91, 9, 10.1016/j.compstruct.2009.04.026 Ke, 2010, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Compos Struct, 92, 676, 10.1016/j.compstruct.2009.09.024 Ke, 2013, Dynamic stability of functionally graded carbon nanotube-reinforced composite beams, Mech Adv Mater Struct, 20, 28, 10.1080/15376494.2011.581412 Kwon, 2011, Fabrication of functionally graded carbon nanotube-reinforced aluminum matrix composite, Adv Eng Mater, 13, 325, 10.1002/adem.201000251 Shen, 2010, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Mater Des, 31, 3403, 10.1016/j.matdes.2010.01.048 Zhu, 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, 10.1016/j.compstruct.2011.11.010 Liew, 2015, Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review, Compos Struct, 120, 90, 10.1016/j.compstruct.2014.09.041 Yang, 2017, Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams, Compos Struct, 161, 111, 10.1016/j.compstruct.2016.11.048 Wu, 2017, Dynamic instability of functionally graded multilayer graphene nano-composite beams in thermal environment, Compos Struct, 162, 244, 10.1016/j.compstruct.2016.12.001 Feng, 2017, Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs), Compos Part B: Eng, 110, 132, 10.1016/j.compositesb.2016.11.024 Song, 2017, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Compos Struct, 159, 579, 10.1016/j.compstruct.2016.09.070 Yang, 2016, Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity, Meccanica Mallick, 2007 Halpin, 1976, The Halpin-Tsai equations: a review, Polym Eng Sci, 16, 344, 10.1002/pen.760160512 De Villoria, 2007, Mechanical model to evaluate the effect of the dispersion in nanocomposites, Acta Mater, 55, 3025, 10.1016/j.actamat.2007.01.007 Marur, 1996, Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling, J Sound Vib, 194, 337, 10.1006/jsvi.1996.0362 Thai, 2012, Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories, Int J Mech Sci, 62, 57, 10.1016/j.ijmecsci.2012.05.014 Kiani, 2009, Prediction capabilities of classical and shear deformable beam models excited by a moving mass, J Sound Vib, 320, 632, 10.1016/j.jsv.2008.08.010 Kiani, 2012, On the interaction of a single-walled carbon nanotube with a moving nanoparticle using nonlocal Rayleigh, Timoshenko, and higher-order beam theories, Eur J Mech-A/Solids, 31, 179, 10.1016/j.euromechsol.2011.07.008 Kiani, 2013, Vibration analysis of elastically restrained double-walled carbon nanotubes on elastic foundation subjected to axial load using nonlocal shear deformable beam theories, Int J Mech Sci, 68, 16, 10.1016/j.ijmecsci.2012.11.011 Singh, 1990, Large-amplitude free vibrations of beams—a discussion on various formulations and assumptions, J Sound Vib, 142, 77, 10.1016/0022-460X(90)90583-L Lestari, 2001, Nonlinear vibration of buckled beams: some exact solutions, Int J Solids Struct, 38, 4741, 10.1016/S0020-7683(00)00300-0 Yang, 2008, Free vibration and buckling analyses of functionally graded beams with edge cracks, Compos Struct, 83, 48, 10.1016/j.compstruct.2007.03.006 Reddy, 2007, Nonlocal theories for bending buckling and vibration of beams, Int J Eng Sci, 45, 305, 10.1016/j.ijengsci.2007.04.004 Aydogdu, 2009, A general nonlocal beam theory: its application to nanobeams bending buckling and vibration, Physica E, 41, 1651, 10.1016/j.physe.2009.05.014 Palermo, 2016, Nanoscale mechanics of graphene and graphene oxide in composites: a scientific and technological perspective, Adv Mater, 28, 6232, 10.1002/adma.201505469 Wang, 2015, Mechanical properties and thermal conductivit of graphene nanoplatelet/epoxy composites, J Mater Sci, 50, 1082, 10.1007/s10853-014-8665-6 Safaei, 2015, An interfacial debonding-induced damage model for graphite nanoplatelet polymer composites, Comput Mater Sci, 96, 191, 10.1016/j.commatsci.2014.08.036