| Citation: | SHEN Hui-Sheny. Modeling and analysis of functionally graded carbon nanotube reinforced composite structures: A review[J]. Advances in Mechanics, 2016, 46(1): 201611. doi: 10.6052/1000-0992-16-007
|
| [1] |
范镜泓, 陈海波. 2011. 非均质材料力学研究进展: 热点、焦点和生长点. 力学进展, 41: 615-636 (Fan J H, Chen H B. 2011. Advances in heterogeneous material mechanics: cutting-edge and growing points.
|
| [2] |
Advances in Mechanics, 41: 615-636). 沈惠申. 2004. 功能梯度复合材料板壳结构的弯曲、屈曲和振动. 力学进展,34: 53-60 (Shen H S. 2004. Bending, buckling and vibration of functionally graded plates and shells. Advances in Mechanics, 34: 53-60).
|
| [3] |
沈惠申. 2012b. 结构非线性分析的二次摄动法. 北京: 高等教育出版社(Shen H S. 2012b. A Two-Step Perturbation Method in Nonlinear Analysis of Structures. Beijing: Higher Education Press).
|
| [4] |
沈惠申. 2014b. 板壳后屈曲行为(第二版). 上海: 上海科学技术出版社(Shen H S. 2014b. Postbuckling Behavior of Plates and Shells (2nd Edition). Shanghai: Shanghai Science & Technological Press).
|
| [5] |
Ajayan P M, Stephan O, Colliex C, Trauth D. 1994. Aligned carbon nanotube arrays formed by cutting a polymer resin-nanotube composite. Science, 265: 1212-1214.
|
| [6] |
Alibeigloo A. 2013a. Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity. Composite Structures, 95: 612-622.
|
| [7] |
Alibeigloo A. 2013b. Elasticity solution of functionally graded carbon-nanotube-reinforced composite cylin- drical panel with piezoelectric sensor and actuator layers. Smart Materials & Structures, 22: 075013.
|
| [8] |
Alibeigloo A. 2014a. Three-dimensional thermoelasticity solution of functionally graded carbon nanotube reinforced composite plate embedded in piezoelectric sensor and actuator layers. Composite Structures, 118: 482-495.
|
| [9] |
Alibeigloo A. 2014b. Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity. European Journal of Mechanics A-Solids, 44: 104-115.
|
| [10] |
Alibeigloo A. 2016. Elasticity solution of functionally graded carbon nanotube-reinforced composite cylin- drical panel subjected to thermo mechanical load. Composites Part B, 87: 214-226
|
| [11] |
Alibeigloo A, Emtehani A. 2015. Static and free vibration analyses of carbon nanotube-reinforced omposite plate using di®erential quadrature method. Meccanica, 50: 61-76.
|
| [12] |
Alibeigloo A, Liew K M. 2013. Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity. Composite Structures, 106: 873-881.
|
| [13] |
Alibeigloo A, Liew K M. 2015. Elasticity Solution of free vibration and bending behavior of function- ally graded carbon nanotube-reinforced composite beam with thin piezoelectric layers using di®erential quadrature method. International Journal of Applied Mechanics, 7: 1550002.
|
| [14] |
Ansari R, Hasrati E, Shojaei M F, Gholami R, Shahabodini A. 2015. Forced vibration analysis of functionally graded carbon nanotube-reinforced composite plates using a numerical strategy. Physica E, 69: 294-305.
|
| [15] |
Ansari R, Pourashraf T, Gholami R, Shahabodini A. 2016a. Analytical solution for nonlinear postbuckling of functionally graded carbon nanotube-reinforced composite shells with piezoelectric layers. Composites Part B, 90: 267-277.
|
| [16] |
Ansari R, Shahabodini A, Faghih Shojaei M. 2016b. Vibrational analysis of carbon nanotube-reinforced composite quadrilateral plates subjected to thermal environments using a weak formulation of elasticity. Composite Structures, 139: 167-187.
|
| [17] |
Ansari R, Shojaei M F, Mohammadi V, Gholami R, Sadeghi F. 2014. Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams. Composite Structures, 113: 316-327.
|
| [18] |
Aragh B S, Barati A H N, Hedayati H. 2012. Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels. Composites Part B, 43: 1943-1954.
|
| [19] |
Aragh B S, Farahani E B, Barati A H N. 2013. Natural frequency analysis of continuously graded carbon nanotube-reinforced cylindrical shells based on third-order shear deformation theory. Mathematics and Mechanics of Solids, 18: 264-284.
|
| [20] |
Ashrafi B, Hubert P, Vengallatore S. 2006. Carbon nanotube-reinforced composites as structural materials for microactuators in microelectromechanical systems. Nanotechnology, 17: 4895-4903.
|
| [21] |
Bagchi A, Nomura S. 2006. On the e®ective thermal conductivity of carbon nanotube reinforced polymer composites. Composites Science and Technology, 66: 1703-1712.
|
| [22] |
Bakhti K, Kaci A, Bousahla A A, Houari M S A, Tounsi A, Bedia E A A. 2013. Large deformation analysis for functionally graded carbon nanotube-reinforced composite plates using an e±cient and simple refined theory. Steel and Composite Structures, 14: 335-347.
|
| [23] |
Bidgoli M R, Karimi M S, Arani A G. 2016. Nonlinear vibration and instability analysis of functionally graded CNT-reinforced cylindrical shells conveying viscous fluid resting on orthotropic Pasternak medium. Mechanics of Advanced Materials and Structures, 23: 819-831.
|
| [24] |
Birman V, Byrd L W. 2007. Modeling and Analysis of Functionally Graded Materials and Structures. Applied Mechanics Reviews, 60: 195-216.
|
| [25] |
Chatterjee S N, Kulkarni S V. 1979. Shear correction factors for laminated plates. AIAA Journal, 17: 498-499.
|
| [26] |
Efraim E, Eisenberger M. 2007. Exact vibration analysis of variable thickness thick annular isotropic and
|
| [27] |
FGM plates. Journal of Sound and Vibration, 299: 720-738.
|
| [28] |
Fan Y, Wang H. 2015. Nonlinear vibration of matrix cracked laminated beams containing carbon nanotube reinforced composite layers in thermal environments. Composite Structures, 124: 35-43.
|
| [29] |
Fan Y, Wang H. 2016a. Nonlinear bending and postbuckling analysis of matrix cracked hybrid laminated plates containing carbon nanotube reinforced composite layers in thermal environments. Composites Part B, 86: 1-16.
|
| [30] |
Fan Y, Wang H. 2016b. Nonlinear dynamics of matrix-cracked hybrid laminated plates containing carbon nanotube-reinforced composite layers resting on elastic foundations. Nonlinear Dynamics, 84: 1181-1199.
|
| [31] |
Farahani R D, Dalir H, Le Borgne V, Gautier L A, El Khakani M A, Levesque M, Therriault D. 2012. Direct-write fabrication of freestanding nanocomposite strain sensors. Nanotechnology, 23: 085502.
|
| [32] |
Fazelzadeh S A, Pouresmaeeli S, Ghavanloo E. 2015. Aeroelastic characteristics of functionally graded carbon nanotube-reinforced composite plates under a supersonic flow. Computer Methods in Applied Mechanics and Engineering, 285: 714-729.
|
| [33] |
Feldman E, Aboudi J. 1997. Buckling analysis of functionally graded plates subjected to uniaxial loading. Composite Structures, 38: 29-36.
|
| [34] |
García-Macías E, Castro-Triguero R, Saavedra Flores E I, Friswell M I, Gallego R. 2016. Static and free vibration analysis of functionally graded carbon nanotube reinforced skew plates. Composite Structures, 140: 473-490.
|
| [35] |
Ghayoumizadeh H, Shahabian F, Hosseini S M. 2013. Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs). En- gineering Analysis with Boundary Elements, 37: 1524-1531.
|
| [36] |
Ghouhestani S, Shahabian F, Hosseini S M. 2014. Dynamic analysis of a layered cylinder reinforced by functionally graded carbon nanotubes distributions subjected to shock loading using MLPG method. CMES-Computer Modeling in Engineering & Sciences, 100: 295-321.
|
| [37] |
Griebel M, Hamaekers J. 2004. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. Computer Methods in Applied Mechanics and Engineering, 193: 1773-1788.
|
| [38] |
Haggenmueller R, Gommans H H, Rinzler A G, Fischer J E, Winey K I. 2000. Aligned single-wall carbon nanotubes in composites by melt processing methods. Chemical Physics Letters, 330: 219-225.
|
| [39] |
Han Y, Elliott J. 2007. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Computational Materials Science, 39: 315-323.
|
| [40] |
Hedayati H, Aragh B S. 2012. Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation. Applied Mathematics and Computation, 218: 8715-8735.
|
| [41] |
Heydari M M, Bidgoli A H, Golshani H R, Beygipoor G, Davoodi A. 2015. Nonlinear bending analysis of functionally graded CNT-reinforced composite Mindlin polymeric temperature-dependent plate resting on orthotropic elastomeric medium using GDQM. Nonlinear Dynamics, 79: 1425-1441.
|
| [42] |
Heydarpour Y, Aghdam M M, Malekzadeh P. 2014. Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells. Composite Structures, 117: 187-200.
|
| [43] |
Hosseini S M. 2013. Application of a hybrid mesh-free method based on generalized finite di®erence (GFD) method for natural frequency analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotubes. CMES-Computer Modeling in Engineering & Sciences, 95: 1-29.
|
| [44] |
Iijima S. 1991. Helical microtubules of graphitic carbon. Nature, 354: 56-58.
|
| [45] |
Jam J E, Kiani Y. 2015a. Buckling of pressurized functionally graded carbon nanotube reinforced conical shells. Composite Structures, 125: 586-595.
|
| [46] |
Jam J E, Kiani Y. 2015b. Low velocity impact response of functionally graded carbon nanotube reinforced composite beams in thermal environment. Composite Structures, 132: 35-43.
|
| [47] |
Kaci A, Tounsi A, Bakhti K, Bedia E A. 2012. Nonlinear cylindrical bending of functionally graded carbon nanotube-reinforced composite plates. Steel and Composite Structures, 12: 491-504.
|
| [48] |
Kamarian S, Pourasghar A, Yas M H. 2013. Eshelby-Mori-Tanaka approach for vibrational behavior of functionally graded carbon nanotube-reinforced plate resting on elastic foundation. Journal of Mechanical Science and Technology, 27: 3395-3401.
|
| [49] |
Ke L L, Yang J, Kitipornchai S. 2010. Nonlinear free vibration of functionally graded carbon nanotube- reinforced composite beams. Composite Structures, 92: 676-683.
|
| [50] |
Ke L L, Yang J, Kitipornchai S. 2013. Dynamic stability of functionally graded carbon nanotube-reinforced composite beams. Mechanics of Advanced Materials and Structures, 20: 28-37.
|
| [51] |
Kwon H, Bradbury C R, Leparoux M. 2011. Fabrication of functionally graded carbon nanotube-reinforced aluminum matrix composite. Advanced Engineering Materials, 13: 325-329.
|
| [52] |
Lau K T, Hui D. 2002. The revolutionary creation of new advanced materials-carbon nanotube composites. Composites Part B, 33: 263-277.
|
| [53] |
Lei Z X, Liew K M, Yu J L. 2013a. Large deflection analysis of functionally graded carbon nanotube- reinforced composite plates by the element-free kp-Ritz method. Computer Methods in Applied Mechanics and Engineering, 256: 189-199.
|
| [54] |
Lei Z X, Liew K M, Yu J L. 2013b. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98: 160-168.
|
| [55] |
Lei Z X, Liew K M, Yu J L. 2013c. Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment. Composite Structures, 106: 128-138.
|
| [56] |
Lei Z X, Yu J L, Liew K M. 2013d. Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panels. International Journal of Materials Science and Engineering, 1: 36-40.
|
| [57] |
Lei Z X, Zhang L W, Liew K M, Yu J L. 2014. Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method. Composite Structures, 113: 328-338.
|
| [58] |
Lei Z X, Zhang L W, Liew K M. 2015a. Free vibration analysis of laminated FG-CNT reinforced composite rectangular plates using the kp-Ritz method. Composite Structures, 127: 245-259.
|
| [59] |
Lei Z X, Zhang L W, Liew K M. 2015b. Vibration analysis of CNT-reinforced functionally graded otating cylindrical panels using the element-free kp-Ritz method. Composites Part B, 77: 291-303.
|
| [60] |
Lei Z X, Zhang L W, Liew K M. 2015c. Elastodynamic analysis of carbon nanotube-reinforced functionally graded plates. International Journal of Mechanical Sciences, 99: 208-217.
|
| [61] |
Lei Z X, Zhang L W, Liew K M. 2015d. Buckling of FG-CNT reinforced composite thick skew plates resting on Pasternak foundations based on an element-free approach. Applied Mathematics and Computation, 266: 773-791.
|
| [62] |
Lei Z X, Zhang L W, Liew K M. 2016a. Analysis of laminated CNT reinforced functionally graded plates using the element-free kp-Ritz method. Composites Part B, 84: 211-221.
|
| [63] |
Lei Z X, Zhang L W, Liew K M. 2016b. Vibration of FG-CNT reinforced composite thick quadrilateral plates resting on Pasternak foundations. Engineering Analysis with Boundary Elements, 64: 1-11.
|
| [64] |
Lei Z X, Zhang L W, Liew K M. 2016c. Parametric analysis of frequency of rotating laminated CNT reinforced functionally graded cylindrical panels. Composites Part B, 90: 251-266.
|
| [65] |
Levinson M. 1981. A new rectangular beam theory. Journal of Sound and Vibration, 74: 81-87.
|
| [66] |
Liew K M, Lei Z X, Yu J L, Zhang L W. 2014. Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Computer Methods in Applied Mechanics and Engineering, 268: 1-17.
|
| [67] |
Liew K M, Lei Z X, Zhang L W. 2015. Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review. Composite Structures, 120: 90-97.
|
| [68] |
Lin F, Xiang Y. 2014a. Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories. Applied Mathematical Modelling, 38: 3741-3754.
|
| [69] |
Lin F, Xiang Y. 2014b. Numerical analysis on nonlinear free vibration of carbon nanotube reinforced composite beams. International Journal of Structural Stability and Dynamics, 14: 1350056.
|
| [70] |
Malekzadeh P, Shojaee M. 2013. Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers. Thin-Walled Structures, 71: 108-118.
|
| [71] |
Malekzadeh P, Dehbozorgi M. 2016. Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates. Composite Structures, 140: 728-748.
|
| [72] |
Malekzadeh P, Heydarpour Y. 2015. Mixed Navier-layerwise di®erential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates.
|
| [73] |
Meccanica, 50: 143-167.
|
| [74] |
Malekzadeh P, Dehbozorgi M, Monajjemzadeh S M. 2015. Vibration of functionally graded carbon nanotube- reinforced composite plates under a moving load. Science and Engineering of Composite Materials, 22: 37-55.
|
| [75] |
Mayandi K, Jeyaraj P. 2015. Bending, buckling and free vibration characteristics of FG-CNT-reinforced polymer composite beam under non-uniform thermal load. Proceedings of the Institution of Mechanical Engineers Part L-Journal of Materials Design and Applications, 229: 13-28.
|
| [76] |
Meguid S A, Sun Y. 2004. On the tensile and shear strength of nano-reinforced composite interfaces.
|
| [77] |
Materials and Design, 25: 289-296.
|
| [78] |
Mehar K, Panda S K. 2016. Geometrical nonlinear free vibration analysis of FG-CNT reinforced composite flat panel under uniform thermal field. Composite Structures, 143: 336-346.
|
| [79] |
Mehar K, Panda S K, Dehengia A, Kar V R. 2016. Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment. Journal of Sandwich Structures & Materials, 18: 151- 173.
|
| [80] |
Mehrabadi S J, Aragh B S. 2014. Stress analysis of functionally graded open cylindrical shell reinforced by agglomerated carbon nanotubes. Thin-Walled Structures, 80: 130-141.
|
| [81] |
Mehrabadi S J, Aragh B S, Khoshkhahesh V, Taherpour A. 2012. Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes. Composites Part B, 43: 2031-2040.
|
| [82] |
Mehrabadi S J, Sobhaniaragh B, Pourdonya V. 2013. Free vibration analysis of nanocomposite plates reinforced by graded carbon nanotubes based on first-order shear deformation plate theory. Advances in
|
| [83] |
Applied Mathematics and Mechanics, 5: 90-112.
|
| [84] |
Mehri M, Asadi H, Wang Q. 2016. Buckling and vibration analysis of a pressurized CNT reinforced function- ally graded truncated conical shell under an axial compression using HDQ method. Computer Methods in Applied Mechanics and Engineering, 303: 75-100.
|
| [85] |
Mirzaei M, Kiani Y. 2015a. Snap-through phenomenon in a thermally postbuckled temperature dependent sandwich beam with FG-CNTRC face sheets. Composite Structures, 134: 1004-1013.
|
| [86] |
Mirzaei M, Kiani Y. 2015b. Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells. Aerospace Science and Technology, 47: 42-53.
|
| [87] |
Mirzaei M, Kiani Y. 2016. Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels. Composite Structures, 142: 45-56.
|
| [88] |
Moradi-Dastjerdi R, Foroutan M, Pourasghar A, Sotoudeh-Bahreini R. 2013a. Static analysis of functionally graded carbon nanotube-reinforced composite cylinders by a mesh-free method. Journal of Reinforced Plastics and Composite, 32: 593-601.
|
| [89] |
Moradi-Dastjerdi R, Foroutan M, Pourasghar A. 2013b. Dynamic analysis of functionally graded nanocom- posite cylinders reinforced by carbon nanotube by a mesh-free method. Materials & Design, 44: 256-266.
|
| [90] |
Moradi-Dastjerdi R, Pourasghar A, Foroutan M. 2013c. The e®ects of carbon nanotube orientation and ag- gregation on vibrational behavior of functionally graded nanocomposite cylinders by a mesh-free method. Acta Mechanica, 224: 2817-2832.
|
| [91] |
NamiMR, Janghorban M. 2015. Free vibration of thick functionally graded carbon nanotube-reinforced rect- angular composite plates based on three-dimensional elasticity theory via di®erential quadrature method. Advanced Composite Materials, 24: 439-450.
|
| [92] |
Nan C W, Shi Z, Lin Y. 2003. A simple model for thermal conductivity of carbon nanotube-based composites. Chemical Physics Letters, 375: 666-669.
|
| [93] |
Natarajan S, Haboussi M, Manickam G. 2014. Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets. Composite Structures, 113: 197-207.
|
| [94] |
Phung-Van P, Abdel-Wahab M, Liew K M, Bordas S P A, Nguyen-Xuan H. 2015. Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory. Composite Structures, 123: 137-149.
|
| [95] |
Popov V N, Doren V E, Balkanski M. 2000. Elastic Properties of crystals of single-walled carbon nanotubes. Solid State Communications, 114: 395-399.
|
| [96] |
Pourasghar A, Yas M H, Kamarian S. 2013. Local aggregation e®ect of CNT on the vibrational behavior of four-parameter continuous grading nanotube-reinforced cylindrical panels. Polymer Composites, 34: 707-721.
|
| [97] |
Qatu M S, Leissa A W. 1993. Buckling or transverse deformations of unsymmetrically laminated plates subjected to in-plane loads. AIAA Journal, 31: 189-194.
|
| [98] |
Qian D, Dickey E C, Andrews R, Rantell T. 2000. Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Applied PhysicsLetters, 76: 2868-2870.
|
| [99] |
Rafiee M, He X Q, Liew K M. 2014. Non-linear dynamic stability of piezoelectric functionally graded carbon nanotube-reinforced composite plates with initial geometric imperfection. International Journal of Non-Linear Mechanics, 59: 37-51.
|
| [100] |
Rafiee M, Yang J, Kitipornchai S. 2013a. Large amplitude vibration of carbon nanotube reinforced func- tionally graded composite beams with piezoelectric layers. Composite Structures, 96: 716-725.
|
| [101] |
Rafiee M, Yang J, Kitipornchai S. 2013b. Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams. Computers & Mathematics with Applications, 66: 1147-1160.
|
| [102] |
Rashidifar M A, Ahmadi D. 2015. Vibration analysis of randomly oriented carbon nanotube based on FGM beam using Timoshenko theory. Advances in Mechanical Engineering, 7: 653950.
|
| [103] |
Reddy J N. 1984. A simple higher-order theory for laminated composite plates. Journal of Applied Me- chanics ASME, 51: 745-752.
|
| [104] |
Reddy J N. 2003. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis (2nd Edition). Boca Raton, FL: CRC Press.
|
| [105] |
Reddy J N, Liu C F. 1985. A higher-order shear deformation theory of laminated elastic shells. International Journal of Engineering Science, 23: 319-330.
|
| [106] |
Salami S J. 2016. Extended high order sandwich panel theory for bending analysis of sandwich beams with carbon nanotube reinforced face sheets. Physica E, 76: 187-197.
|
| [107] |
Sankar A, Natarajan S, Haboussi M, Ramajeyathilagam K, Ganapathi M. 2014. Panel flutter characteristics of sandwich plates with CNT reinforced facesheets using an accurate higher-order theory. Journal of Fluids and Structures, 50: 376-391.
|
| [108] |
Sankar A, Natarajan S, Ben Zineb T, Ganapathi M. 2015. Investigation of supersonic flutter of thick doubly curved sandwich panels with CNT reinforced facesheets using higher-order structural theory. Composite Structures, 127: 340-355.
|
| [109] |
Shahrbabaki E A, Alibeigloo A. 2014. Three-dimensional free vibration of carbon nanotube-reinforced composite plates with various boundary conditions using Ritz method. Composite Structures, 111: 362- 370.
|
| [110] |
Shen H S. 1997. Kíarmían-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis. Applied Mathematics and Mechanics, 18: 1137-115242.
|
| [111] |
Shen H S. 2002. Postbuckling of axially loaded shear-deformable laminated cylindrical panels. Journal of Strain Analysis for Engineering Design, 37: 413-425.
|
| [112] |
Shen H S. 2009a. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91: 9-19.
|
| [113] |
Shen H S. 2009b. Functionally Graded Materials: Nonlinear Analysis of Plates and Shells. Boca Raton, FL:
|
| [114] |
CRC Press.
|
| [115] |
Shen H S. 2011a. A novel technique for nonlinear analysis of beams on two-parameter elastic foundations. International Journal of Structural Stability and Dynamics, 11: 999-1014.
|
| [116] |
Shen H S. 2011b. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Composite Structures, 93: 2096-2108.
|
| [117] |
Shen H S. 2011c. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part II: Pressure-loaded shells. Composite Structures, 93: 2496-2503.
|
| [118] |
Shen H S. 2012a. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube- reinforced composite cylindrical shells. Composites Part B, 43: 1030-1038.
|
| [119] |
Shen H S. 2014a. Torsional postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments. Composite Structures, 116: 477-488.
|
| [120] |
Shen H S, He X Q. 2016. Large amplitude free vibration of nanotube-reinforced composite doubly curved pan- els resting on elastic foundations in thermal environments. Journal of Vibration and Control, doi.org/10.1177/1077546315619280.
|
| [121] |
Shen H S, Xiang Y. 2012. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Computer Methods in Applied Mechanics and Engineering, 213-216: 196-205.
|
| [122] |
Shen H S, Xiang Y. 2013a. Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments. Engineering Structures, 56: 698-708.
|
| [123] |
Shen H S, Xiang Y. 2013b. Postbuckling of nanotube-reinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment. Composites Part B, 52: 311-322.
|
| [124] |
Shen H S, Xiang Y. 2014a. Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Engineering Structures, 80: 163-172.
|
| [125] |
Shen H S, Xiang Y. 2014b. Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composite Structures, 111: 291-300.
|
| [126] |
Shen H S, Xiang Y. 2014c. Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composites Part B, 67: 50-61.
|
| [127] |
Shen H S, Xiang Y. 2015a. Thermal postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations. Composite Structures, 123: 383-392.
|
| [128] |
Shen H S, Xiang Y. 2015b. Nonlinear response of nanotube-reinforced composite cylindrical panels subjected to combined loadings and resting on elastic foundations. Composite Structures, 131: 939-950.
|
| [129] |
Shen H S, Xiang Y. 2016. Postbuckling of pressure-loaded nanotube-reinforced composite doubly curved panels resting on elastic foundations in thermal environments. International Journal of Mechanical Sci- ences, 107: 225-234.
|
| [130] |
Shen H S, Zhang C L. 2010. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design, 31: 3403-3411.
|
| [131] |
Shen H S, Zhu Z H. 2010. Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments. CMC-Computers Materials & Continua, 18: 155-182.
|
| [132] |
Shen H S, Zhu Z H. 2012. Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. European Journal of Mechanics A/Solids, 35: 10-21.
|
| [133] |
Shi D L, Feng X Q, Huang Y Y, Hwang K C, Gao H. 2004. The e®ect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites. Journal of Engineering Materials and Technology ASME, 126: 250-257.
|
| [134] |
Song Z G, Zhang L W, Liew K M. 2016a. Aeroelastic analysis of CNT reinforced functionally graded com- posite panels in supersonic airflow using a higher-order shear deformation theory. Composite Structures, 141: 79-90.
|
| [135] |
Song Z G, Zhang L W, Liew K M. 2016b. Active vibration control of CNT reinforced functionally graded plates based on a higher-order shear deformation theory. International Journal of Mechanical Sciences, 105: 90-101.
|
| [136] |
Spitalsky Z, Tasis D, Papagelis K, Galiotis C. 2010. Carbon nanotube-polymer composites: Chemistry, processing, mechanical and electrical properties. Progress in Polymer Science, 35: 357-401.
|
| [137] |
Sun C H, Li F, Cheng H M, Lu G Q. 2005. Axial Young's modulus prediction of single-walled carbon nanotube arrays with diameters from nanometer to meter scales. Applied Physics Letters, 87: 193101.
|
| [138] |
Thomas B, Inamdar P K, Roy T. 2014. Thermal analysis of randomly oriented carbon nanotube reinforced functionally graded Timoshenko beam. Journal of Mechanical Science and Technology, 28: 1779-1788.
|
| [139] |
Thomas B, Roy T. 2016. Vibration analysis of functionally graded carbon nanotube-reinforced composite shell structures. Acta Mechanica, 227: 581-599.
|
| [140] |
Thostenson E T, Ren Z, Chou T W. 2001. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61: 1899-1912.
|
| [141] |
Tornabene F, Fantuzzi N, Bacciocchi M, Viola E. 2016. E®ect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly curved shells. Composites Part B, 89: 187-218.
|
| [142] |
Wang C Y, Zhang L C. 2008. A critical assessment of the elastic properties and e®ective wall thickness of single-walled carbon nanotubes. Nanotechnology, 19: 075705.
|
| [143] |
Wang Z X, Shen H S. 2011. Nonlinear vibration of nanotube-reinforced composite plates in thermal envi- ronments. Computational Materials Science, 50: 2319-2330.
|
| [144] |
Wang Z X, Shen H S. 2012a. Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments. Nonlinear Dynamics, 70: 735-754.
|
| [145] |
Wang Z X, Shen H S. 2012b. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Composites Part B, 43: 411-421.
|
| [146] |
Wang Z X, Xu J, Qiao P. 2014. Nonlinear low-velocity impact analysis of temperature-dependent nanotube- reinforced composite plates. Composite Structures, 108: 423-434.
|
| [147] |
Wattanasakulpong N, Chaikittiratana A. 2015. Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation. Applied Mathematical Modelling, 39: 5459-5472.
|
| [148] |
Wattanasakulpong N, Ungbhakorn V. 2013. Analytical solutions for bending, buckling and vibration re- sponses of carbon nanotube-reinforced composite beams resting on elastic foundation. Computational Materials Science, 71: 201-208.
|
| [149] |
Wu C P, Chang S K. 2014. Stability of carbon nanotube-reinforced composite plates with surface-bonded piezoelectric layers and under bi-axial compression. Composite Structures, 111: 587-601.
|
| [150] |
Wu C P, Jiang R Y. 2014. A state space di®erential reproducing kernel method for the buckling anal- ysis of carbon nanotube-reinforced composite circular hollow cylinders. CMES-Computer Modeling in Engineering & Sciences, 97: 239-279.
|
| [151] |
Wu C P, Li H Y. 2016a. Three-dimensional free vibration analysis of functionally graded carbon nanotube- reinforced composite plates with various boundary conditions. Journal of Vibration and Control, 22: 89-107.
|
| [152] |
Wu C P, Li W C. 2016b. Quasi-3D stability and vibration analyses of sandwich piezoelectric plates with an embedded CNT-reinforced composite core. International Journal of Structural Stability and Dynamics, 16: 1450097.
|
| [153] |
Wu C P, Lin H R. 2015. Three-dimensional dynamic responses of carbon nanotube-reinforced composite plates with surface-bonded piezoelectric layers using Reissner's mixed variational theorem-based finite layer methods. Journal of Intelligent Material Systems and Structures, 26: 260-279.
|
| [154] |
Wu H, Kitipornchai S, Yang J. 2015. Free vibration and buckling analysis of sandwich beams with func- tionally graded carbon nanotube-reinforced composite face sheets. International Journal of Structural Stability and Dynamics, 15: 1540011.
|
| [155] |
Wu HL, Yang J, Kitipornchai S. 2016. Nonlinear vibration of functionally graded carbon nanotube reinforced composite beams with geometric imperfections. Composites Part B, 90: 86-96.
|
| [156] |
Yakobson B I, Brabec C J, Bernholc J. 1996. Nanomechanics of carbon tubes: Instability beyond linear response. Physical Review Letters, 76: 2511-2514.
|
| [157] |
Yas M H, Heshmati M. 2012. Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load. Applied Mathematical Modelling, 36: 1371-1394.
|
| [158] |
Yas M H, Samadi N. Free vibrations and buckling analysis of carbon nanotube-reinforced composite Tim- oshenko beams on elastic foundation. International Journal of Pressure Vessels and Piping, 2012, 98: 119-128.
|
| [159] |
Yas M H, Pourasghar A, Kamarian S, Heshmati M. 2013. Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube. Materials & Design, 49: 583-590.
|
| [160] |
Zhang L W, Cui W C, Liew K M. 2015a. Vibration analysis of functionally graded carbon nanotube reinforced composite thick plates with elastically restrained edges. International Journal of Mechanical Sciences, 103: 9-21.
|
| [161] |
Zhang L W, Lei Z X, Liew K M, Yu J L. 2014a. Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels. Computer Methods in Applied Mechanics and Engineering, 273: 1-18.
|
| [162] |
Zhang L W, Lei Z X, Liew K M, Yu J L. 2014b. Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels. Composite Structures, 111: 205-212.
|
| [163] |
Zhang L W, Lei Z X, Liew K M. 2015b. An element-free IMLS-Ritz framework for buckling analysis of FG-CNT reinforced composite thick plates resting on Winkler foundations. Engineering Analysis with Boundary Elements, 58: 7-17.
|
| [164] |
Zhang L W, Lei Z X, Liew K M. 2015c. Computation of vibration solution for functionally graded carbon nanotube-reinforced composite thick plates resting on elastic foundations using the element-free IMLS-Ritz method. Applied Mathematics and Computation, 256: 488-504.
|
| [165] |
Zhang L W, Lei Z X, Liew K M. 2015d. Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach. Composites Part B, 75: 36-46.
|
| [166] |
Zhang L W, Lei Z X, Liew K M. 2015e. Vibration characteristic of moderately thick functionally graded carbon nanotube reinforced composite skew plates. Composite Structures, 122: 172-183.
|
| [167] |
Zhang L W, Lei Z X, Liew K M. 2015f. Free vibration analysis of functionally graded carbon nanotube- reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method. Composite Structures, 120: 189-199.
|
| [168] |
Zhang L W, Liew K M. 2015. Large deflection analysis of FG-CNT reinforced composite skew plates resting on Pasternak foundations using an element-free approach. Composite Structures, 132: 974-983.
|
| [169] |
Zhang L W, Liew K M. 2016. Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach. Composite
|
| [170] |
Structures, 138: 40-51.
|
| [171] |
Zhang L W, Liew K M, Jiang Z. 2016a. An element-free analysis of CNT-reinforced composite plates with column supports and elastically restrained edges under large deformation. Composites Part B, 95:18-28.
|
| [172] |
Zhang L W, Liew K M, Reddy J N. 2016b. Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression. Com- puter Methods in Applied Mechanics and Engineering, 298: 1-28.
|
| [173] |
Zhang L W, Song ZG, Liew K M. 2015g. Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method. Composite Structures, 128: 165-175.
|
| [174] |
Zhang L W, Song ZG, Liew K M. 2015h. State-space Levy method for vibration analysis of FG-CNT composite plates subjected to in-plane loads based on higher-order shear deformation theory. Composite Structures, 134: 989-1003.
|
| [175] |
Zhang L W, Song ZG, Liew K M. 2016c. Optimal shape control of CNT reinforced functionally graded composite plates using piezoelectric patches. Composites Part B, 85: 140-149.
|
| [176] |
Zhang L W, Song Z G, Liew K M. 2016d. Computation of aerothermoelastic properties and active flutter control of CNT reinforced functionally graded composite panels in supersonic airflow. Computer Methods in Applied Mechanics and Engineering, 300: 427-441.
|
| [177] |
Zhang L W, Xiao L N, Zou G L, Liew K M. 2016e. Elastodynamic analysis of quadrilateral CNT-reinforced functionally graded composite plates using FSDT element-free method. Composite Structures, 148: 144- 154.
|
| [178] |
Zhang R, Zhang Y, Zhang Q, Xie H, Qian W, Wei F. 2013. Growth of half-meter long carbon nanotubes based on schulz-flory distribution. ACS Nano, 7: 6156-6161.
|
| [179] |
Zhang Y, Matthews F L. 1983. Postbuckling behavior of curved panels of generally layered composite materials. Composite Structures, 2: 115-136.
|
| [180] |
Zhu J, Yang J, Kitipornchai S. 2013. Dispersion spectrum in a functionally graded carbon nanotube- reinforced plate based on first-order shear deformation plate theory. Composites Part B, 53: 274-283.
|
| [181] |
Zhu P, Lei Z X, 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. Composite Structures, 94: 1450-1460.
|
DownLoad: