Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method

Esawi, 2007, Carbon nanotube reinforced composites: potential and current challenges, Mater Des, 28, 2394, 10.1016/j.matdes.2006.09.022 Thostenson, 2001, Advances in the science and technology of carbon nanotubes and their composites: a review, Compos Sci Technol, 61, 1899, 10.1016/S0266-3538(01)00094-X Dai, 2002, Carbon nanotubes: opportunities and challenges, Surf Sci, 500, 218, 10.1016/S0039-6028(01)01558-8 Kang, 2006, Introduction to carbon nanotube and nanofiber smart materials, Composites Part B, 37, 382, 10.1016/j.compositesb.2006.02.011 Lau, 2006, A critical review on nanotube and nanotube/nanoclay related polymer composite materials, Composites Part B, 37, 425, 10.1016/j.compositesb.2006.02.020 Gojny, 2005, Influence of different carbon nanotubes on the mechanical properties of epoxy matrix composites – a comparative study, Compos Sci Technol, 65, 2300, 10.1016/j.compscitech.2005.04.021 Fidelus, 2005, Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Composite Part A, 36, 1555, 10.1016/j.compositesa.2005.02.006 Han, 2007, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comput Mater Sci, 39, 315, 10.1016/j.commatsci.2006.06.011 Manchado, 2005, Thermal and mechanical properties of single-walled carbon nanotubes-polypropylene composites prepared by melt processing, Carbon, 43, 1499, 10.1016/j.carbon.2005.01.031 Mokashi, 2007, A study on the tensile response and fracture in carbon nanotube-based composites using molecular mechanics, Compos Sci Technol, 67, 530, 10.1016/j.compscitech.2006.08.014 Zhu, 2007, Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites, Mater Sci Eng A, 447, 51, 10.1016/j.msea.2006.10.054 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 Shen, 2011, Postbuckling of nanotube–reinforced composite cylindrical shells in thermal environments, Part I: axially-loaded shells, Compos Struct, 93, 2096, 10.1016/j.compstruct.2011.02.011 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 Ke, 2010, Nonlinear free vibration of functionally graded carbon nanotube–reinforced composite beams, Compos Struct, 92, 676, 10.1016/j.compstruct.2009.09.024 Yas, 2012, Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load, Appl Math Model, 36, 1371, 10.1016/j.apm.2011.08.037 Sobhani Aragh, 2012, Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube–reinforced cylindrical panels, Composites Part B, 43, 1943, 10.1016/j.compositesb.2012.01.004 Pradhan, 2000, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions, Appl Acoust, 61, 111, 10.1016/S0003-682X(99)00063-8 Ansari, 2008, Prediction of dynamic behavior of FGM shells under arbitrary boundary conditions, Compos Struct, 85, 284, 10.1016/j.compstruct.2007.10.037 Sobhani Aragh, 2010, Static and free vibration analyses of continuously graded fiber-reinforced cylindrical shells using generalized power-law distribution, Acta Mech, 215, 155, 10.1007/s00707-010-0335-4 Sobhani Aragh, 2010, Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels, Mater Des, 31, 4543, 10.1016/j.matdes.2010.03.055 Shakeri, 2006, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder, Compos Struct, 76, 174, 10.1016/j.compstruct.2006.06.022 Hosseini, 2007, Dynamic response and radial wave propagation velocity in thick hollow cylinder made of functionally graded materials, Int J Comput Aid Eng Softw, 24, 288, 10.1108/02644400710735043 Asgari, 2009, Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading, Acta Mech, 208, 163, 10.1007/s00707-008-0133-4 Hosseini, 2010, General analytical solution for elastic radial wave propagation and dynamic analysis of functionally graded thick hollow cylinders subjected to impact loading, Acta Mech, 212, 1, 10.1007/s00707-009-0237-5 Shahabian, 2010, Stochastic dynamic analysis of a functionally graded thick hollow cylinder with uncertain material properties subjected to shock loading, Mater Des, 31, 894, 10.1016/j.matdes.2009.07.040 Foroutan, 2012, Static analysis of FGM cylinders by a mesh-free method, Steel Compos Struct, 12, 1, 10.12989/scs.2012.12.1.001 Mollarazi, 2011, Analysis of free vibration of functionally graded material (FGM) cylinders by a meshless method, J Compos Mater, 46, 507, 10.1177/0021998311413685 Foroutan, 2011, Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method, Acta Mech, 219, 281, 10.1007/s00707-011-0448-4 Lancaster, 1981, Surface generated by moving least squares methods, Math Comput, 37, 141, 10.1090/S0025-5718-1981-0616367-1 Song, 2006, Modeling of effective elastic properties for polymer based carbon nanotube composites, Polymer, 47, 1741, 10.1016/j.polymer.2006.01.013 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 Leissa, 1995, Accurate vibration frequencies of circular cylinders from three dimensional analysis, J Acoust Soc Am, 98, 2136, 10.1121/1.414403 Hutchinson, 1996, Comments on “Accurate vibration frequencies of circular cylinders from three-dimensional analysis”, J Acoust Soc Am, 98, 2136 Hutchinson, 1995, Comments on “Accurate vibration frequencies of circular cylinders from three-dimensional analysis”, J Acoust Soc Am, 100, 1894, 10.1121/1.416203 Zhou, 2003, 3D vibration analysis of solid and hollow circular cylinders via Chebyshev–Ritz method, Comput Methods Appl Mech Eng, 192, 1575, 10.1016/S0045-7825(02)00643-6