Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation
Tài liệu tham khảo
Koizumi, 1993, The concept of FGM, ceramic transactions, Funct. Gradient. Mater., 34, 3
Malekzadeh, 2011, Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment, Meccanica, 46, 893, 10.1007/s11012-010-9345-5
Chakraverty, 2007, Effect of nonhomogeneity on natural frequencies of vibration of elliptic plates, Meccanica, 42, 585, 10.1007/s11012-007-9077-3
Efraim, 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, J. Sound Vib., 299, 720, 10.1016/j.jsv.2006.06.068
Hosseini-Hashemi, 2010, Closed-form vibration analysis of thick annular functionally graded plates with integrated piezoelectric layers, Int. J. Mech. Sci., 52, 410, 10.1016/j.ijmecsci.2009.10.016
Nie, 2008, Vibration analysis of functionally graded annular sectorial plates with simply supported radial edges, Compos. Struct., 84, 167, 10.1016/j.compstruct.2007.07.003
PL. Pasternak, On a new method of analysis of an elastic foundation by means of two foundation constants. Cosudarstrennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, Moscow, USSR, 1954, pp. 1–56 (in Russian).
Huang, 2008, Benchmark solutions for functionally graded thick plates resting on Winkler–Pasternak elastic foundations, Compos. Struct., 85, 95, 10.1016/j.compstruct.2007.10.010
Cheng, 2000, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates, J. Sound Vib., 229, 879, 10.1006/jsvi.1999.2525
Hosseini-Hashemi, 2010, Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory, Appl. Math. Model., 34, 1276, 10.1016/j.apm.2009.08.008
Yas, 2010, Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation, Int. J. Eng. Sci., 48, 1881, 10.1016/j.ijengsci.2010.06.015
Hosseini-Hashemi, 2010, Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations, Compos. Struct., 92, 1734, 10.1016/j.compstruct.2009.12.016
Iijima, 1991, Helical microtubes of graphitic carbon, Nature, 354, 56, 10.1038/354056a0
Salvetat, 2002, Mechanical properties of carbon nanotubes: a fiber digest for beginners, Carbon, 40, 1729, 10.1016/S0008-6223(02)00012-X
Endo, 2004, Applications of carbon nanotubes in the twenty-first century, Phil. Trans. R. Soc. Lond. A, 362, 2223, 10.1098/rsta.2004.1437
Wernik, 2011, Multiscale modeling of the nonlinear response of nano-reinforced polymers, Acta. Mech., 217, 1, 10.1007/s00707-010-0377-7
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
Moniruzzaman, 2006, Polymer nanocomposites containing carbon nanotubes, Macromolecules, 39, 5194, 10.1021/ma060733p
Valter, 2002, Synthesis of multiwalled carbon nanotubes and poly (o-anisidine) nanocomposite material: fabrication and characterization od its langmuir-schaefer films, Langmuir, 18, 1535, 10.1021/la0104673
Qian, 2000, Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites, Appl. Phys. Lett., 76, 2868, 10.1063/1.126500
Yokozeki, 2007, Matrix cracking behaviors in carbon fiber/epoxy laminates filled with cup-stacked carbon nanotubes (CSCNTs), Compos. Part A, 38, 917, 10.1016/j.compositesa.2006.07.005
Shokrieh, 2010, Investigation of nanotube length effect on the reinforcement efficiency in carbon nanotube based composites, Compos. Struct., 92, 2415, 10.1016/j.compstruct.2010.02.018
Seidel, 2006, Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites, Mech. Mater., 38, 884, 10.1016/j.mechmat.2005.06.029
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, 2010, Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments, Comput. Mater Continua., 18, 155
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
Ke, 2010, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Compos. Struct., 92, 676, 10.1016/j.compstruct.2009.09.024
Z.-X. Wang, H.-S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Compos. Part B, in press, doi:10.1016/j.compositesb.2011.04.040.
Shaffer, 1999, Fabrication and Characterization of Carbon Nanotube/Poly (vinyl alcohol) Composites, Adv. Mater. (Weinheim, Ger.), 11, 937, 10.1002/(SICI)1521-4095(199908)11:11<937::AID-ADMA937>3.0.CO;2-9
Vigolo, 2000, Macroscopic fibers and ribbons of oriented carbon nanotubes, Science, 290, 1331, 10.1126/science.290.5495.1331
Shi, 2004, The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites, J. Eng. Mater. Technol., 126, 250, 10.1115/1.1751182
Wuite, 2005, Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis, Compos. Struct., 71, 388, 10.1016/j.compstruct.2005.09.011
Stephan, 2000, Characterization of single-walled carbon nanotubes-PMMA composite, Synth. Met., 108, 139, 10.1016/S0379-6779(99)00259-3
Odegard, 2003, Constitutive modelling of nanotube reinforced polymer composites, Compos. Sci. Technol., 63, 1671, 10.1016/S0266-3538(03)00063-0
Shu, 2000
Shu, 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stockes equations, Int. J. Numer. Methods Fluid, 15, 791, 10.1002/fld.1650150704
Bert, 1996, Differential quadrature method in computational mechanics. A review, Appl. Mech. Rev., 49, 1, 10.1115/1.3101882
Malekzadeh, 2008, Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT, Compos. Struct., 83, 189, 10.1016/j.compstruct.2007.04.007
Liew, 1995, Three-dimensional vibratory characteristics of solid cylinders and some remarks on simplified beam theories, Int. J. Solids Struct., 32, 3499, 10.1016/0020-7683(95)00004-T
Liew, 1995, Vibration of stress-free hollow cylinders of arbitrary cross section, J. Appl. Mech., 62, 718, 10.1115/1.2897005
Li, 2007, Reinforcing mechanisms of single-walled carbon nanotube-reinforced polymer composites, J. Nanosci. Nanotechnol., 7, 2309, 10.1166/jnn.2007.410
Fidelus, 2005, Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Compos. Part A, 36, 1555, 10.1016/j.compositesa.2005.02.006
Esawi, 2007, Carbon nanotube reinforced composites: potential and current challenges, Mater. Des., 28, 2394, 10.1016/j.matdes.2006.09.022
Li, 2003, Multiscale modeling of carbon nanotube reinforced polymer composites, J. Nanosci. Nanotechnol., 3, 423, 10.1166/jnn.2003.233
Shokrieh, 2010, On the tensile behavior of an embedded carbon nanotube in polymer matrix with non-bonded interphase region, Compos. Struct., 92, 647, 10.1016/j.compstruct.2009.09.033
Shokrieh, 2010, Prediction of mechanical properties of an embedded carbon nanotube in polymer matrix based on developing an equivalent long fiber, Mech. Res. Commun., 37, 235, 10.1016/j.mechrescom.2009.12.002
Mori, 1973, Average stress in matrix and average elastic energy of materials With misfitting inclusions, Acta Metall., 21, 571, 10.1016/0001-6160(73)90064-3
Eshelby, 1957, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. London, Ser. A, 241, 376, 10.1098/rspa.1957.0133
Formica, 2010, Vibrations of carbon nanotube-reinforced composites, J. Sound Vib., 329, 1875, 10.1016/j.jsv.2009.11.020
Hill, 1965, A self-consistent mechanics of composite materials, J. Mech. Phys. Solids, 13, 213, 10.1016/0022-5096(65)90010-4
Fung, 2001
Tornabene, 2007, Vibration analysis of spherical structural elements using the GDQ method, Comput. Math. Appl., 53, 1538, 10.1016/j.camwa.2006.03.039
Tornabene, 2008, 2-D Solution for free vibrations of parabolic shells using generalized differential quadrature method, Eur. J. Mech. A/Solids, 27, 1001, 10.1016/j.euromechsol.2007.12.007
Dong, 2008, Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev–Ritz method, Mater. Des., 29, 1518, 10.1016/j.matdes.2008.03.001
McGee, 1995, Comprehensive exact solutions for free vibrations of thick annular sectorial plates with simply supported radial edges, Int. J. Mech. Sci., 37, 537, 10.1016/0020-7403(94)00050-T
Malekzadeh, 2009, Three-dimensional free vibration analysis of thick laminated annular sector plates using a hybrid method, Compos. Struct., 90, 428, 10.1016/j.compstruct.2009.04.015
Zhou, 2009, 3-D vibration analysis of annular sector plates using the Chebyshev–Ritz method, J. Sound Vib., 320, 421, 10.1016/j.jsv.2008.08.001
Zhou, 2006, Three dimensional free vibration of thick circular plates on Pasternak foundation, J. Sound. Vib., 292, 726, 10.1016/j.jsv.2005.08.028