[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/scs.2016.22.2.277

Dynamic analysis of functionally graded nanocomposite plates reinforced by wavy carbon nanotube

Moradi-Dastjerdi, Rasool (Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University)
Momeni-Khabisi, Hamed (Department of Mechanical Engineering, University of Jiroft)

Publication Information

Steel and Composite Structures / v.22, no.2, 2016 , pp. 277-299 More about this Journal

Abstract

In this paper, free vibration, forced vibration, resonance and stress wave propagation behavior in nanocomposite plates reinforced by wavy carbon nanotube (CNT) are studied by a mesh-free method based on first order shear deformation theory (FSDT). The plates are resting on Winkler-Pasternak elastic foundation and subjected to periodic or impact loading. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In the mesh-free analysis, moving least squares (MLS) shape functions are used for approximation of displacement field in the weak form of motion equation and the transformation method is used for imposition of essential boundary conditions. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of elastic foundation coefficients, plate thickness and time depended loading are examined on the vibrational and stresses wave propagation responses of the nanocomposite plates reinforced by wavy CNT.

Keywords

stress wave; resonance; vibration; nanocomposite plates; wavy carbon nanotube; mesh-free;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
Cited By KSCI

1	Moradi-Dastjerdi, R., Foroutan, M., Pourasghar, A. and Sotoudeh-Bahreini, R. (2013b), "Static analysis of functionally graded carbon nanotube-reinforced composite cylinders by a mesh-free method", J. Reinf. Plast. Compos., 32(9), 593-601. DOI
2	Moradi-Dastjerdi, R., Pourasghar, A., Foroutan, M. and Bidram, M. (2014), "Vibration analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube based on mesh-free method", J. Compos. Mater., 48, 1901-1913. DOI
3	Natarajan, S., Haboussi, M. and Manickam, G. (2014), "Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite face sheets", Compos. Struct., 113, 197-207. DOI
4	Qian, L.F., Batra, R.C. and Chen, L.M. (2004), "Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method", Compos. Part B, 35(6-8), 685-697. DOI
5	Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752. DOI
6	Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC.
7	Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., 12, 69-72.
8	Selmi, A., Friebel, C., Doghri, I. and Hassis, H. (2007), "Prediction of the elastic properties of single walled carbon nanotube reinforced polymers: A comparative study of several micromechanical models", Compos. Sci. Technol., 67(10), 2071-2084. DOI
9	Shams, S. and Soltani, B. (2015), "The effects of carbon nanotube waviness and aspect ratio on the buckling behavior of functionally graded nanocomposite plates using a meshfree method", Polymer Compos. DOI: 10.1002/pc.23814 DOI
10	Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube- reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. DOI
11	Sobhani Aragh, B., Nasrollah Barati, A.H. and Hedayati, H. (2012), "Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels", Compos. Part B, 43(4), 1943-1954. DOI
12	Song, Y.S. and Youn, J.R. (2006), "Modeling of effective elastic properties for polymer based carbon nanotube composites", Polymer, 47(5), 1741-1748. DOI
13	Thai, H.T. and Choi, D.H. (2011), "A refined plate theory for functionally graded plates resting on elastic foundation", Compos. Sci. Technol., 71(16), 1850-1858. DOI
14	Thai, H.T. and Choi, D.H. (2012), "An efficient and simple refined theory for buckling analysis of functionally graded plates", Appl. Math. Model., 36(3), 1008-1022. DOI
15	Tornabene, F., Fantuzzi, N., Bacciocchi, M. and Viola, E. (2016), "Effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly-curved shells", Compos. Part B, 89, 187-218. DOI
16	Yas, M.H. and Sobhani Aragh, B. (2010), "Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation", Inter. J. Eng. Sci., 48(12), 1881-1895. DOI
17	Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015a), "An element-free IMLS-Ritz framework for buckling analysis of FG-CNT reinforced composite thick plates resting on Winkler foundations", Eng. Anal. Bound. Elem., 58, 7-17. DOI
18	Zhang, L.W., Song, Z.G. and Liew, K.M. (2015b), "Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method", Compos. Struct., 128, 165-175. DOI
19	Ansari, R., Hasrati, E., Faghih Shojaei, M., Gholami, R. and Shahabodini, A. (2015), "Forced vibration analysis of functionally graded carbon nanotube-reinforced composite plates using a numerical strategy", Physica E, 69, 294-305. DOI
20	Ansari, R. and Arjangpay, A. (2014), "Nanoscale vibration and buckling of single-walled carbon nanotubes using the meshless local Petrov-Galerkin method", Physica E, 63, 283-292. DOI
21	Baferani, A.H., Saidi, A.R. and Ehteshami, H. (2011), "Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation", Compos. Struct., 93(7), 1842-1853. DOI
22	Fidelus, J.D.D., Wiesel, E., Gojny, F.H.H., Schulte, K. and Wagner, H.D.D. (2005), "Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites", Compos. A Appl. Sci. Manuf., 36(11), 1555-61. DOI
23	Zhu, P., Lei, Z.X. and 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", Compos. Struct., 94(4), 1450-1460. DOI
24	Efraim, E. and Eisenberger, M. (2007), "Exact vibration analysis of variable thickness thick annular isotropic and FGM plates", J. Sound Vib., 299(4-5), 720-738. DOI
25	Fan, Y. and Wang, H. (2016), "The effects of matrix cracks on the nonlinear bending and thermal postbuckling of shear deformable laminated beams containing carbon nanotube reinforced composite layers and piezoelectric fiber reinforced composite layers", Compos. Part B, 106, 28-41. DOI
26	Fantuzzi, N., Tornabene, F., Bacciocchi, M. and Dimitri, R. (2016), "Free vibration analysis of arbitrarily shaped functionally graded Carbon Nanotube-reinforced plates", Compos. Part B. [In Press] DOI: http://dx.doi.org/10.1016/j.compositesb.2016.09.021 DOI
27	Ferreira, A.J.M., Castro, L.M.S. and Bertoluzza, S. (2009), "A high order collocation method for the static and vibration analysis of composite plates using a first-order theory", Compos. Struct., 89(3), 424-432. DOI
28	Han, Y. and Elliott, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/ carbon nanotube composites", Comput. Mater. Sci., 39(2), 315-323. DOI
29	Iijima, S. (1991), "Helical microtubles of graphitic carbon", Nature, 354, 56-58. DOI
30	Hedayati, H. and Sobhani Aragh, B. (2012), "Influence of graded agglomerated CNTs on vibration of CNTreinforced annular sectorial plates resting on Pasternak foundation", Appl. Math. Comput., 218(17), 8715-8735. DOI
31	Iijima, S. and Ichihashi, T. (1993), "Single-shell carbon nanotubes of 1-nm diameter", Nature, 363, 603-605. DOI
32	Kundalwal, S.I. and Ray, M.C. (2013), "Effect of carbon nanotube waviness on the elastic properties of the fuzzy fiber reinforced composites", ASME J. Appl. Mech., 80(2), 021010. DOI
33	Jafari Mehrabadi, S. and Sobhani Aragh, B. (2014), "Stress analysis of functionally graded open cylindrical shell reinforced by agglomerated carbon nanotubes", Thin-Wall. Struct., 80, 130-141. DOI
34	Jam, J.E., Pourasghar, A. and Kamarian, S. (2012), "The effect of the aspect ratio and waviness of CNTs on the vibrational behavior of functionally graded nanocomposite cylindrical panels", Polym. Compos., 33(11), 2036-2044. DOI
35	Kaci, A., Tounsi, A., Bakhti, K. and Bedia, E.A.A. (2012), "Nonlinear cylindrical bending of functionally graded carbon nanotube-reinforced composite plates", Steel Compos. Struct., Int. J., 12(6), 491-504. DOI
36	Kamarian, S., Pourasghar, A. and Yas, M.H. (2013), "Eshelby-Mori-Tanaka approach for vibrational behavior of functionally graded carbon nanotube-reinforced plate resting on elastic foundation", J. Mech. Sci. Technol., 27(11), 3395-3401. DOI
37	Kamarian, S., Salim, M., Dimitri, R. and Tornabene, F. (2016), "Free vibration analysis of conical shells reinforced with agglomerated carbon nanotubes", Inter. J. Mech. Sci., 108-109, 157-165. DOI
38	Lancaster, P. and Salkauskas, K. (1981), "Surface generated by moving least squares methods", Math. Comput., 37, 141-158. DOI
39	Lei, Z.X., Liew, K.M. and Yu, J.L. (2013a), "Buckling analysis of functionally graded carbon nanotubereinforced composite plates using the element-free kp-Ritz method", Compos. Struct., 98, 160-168. DOI
40	Lei, Z.X., Liew, K.M. and Yu, J.L. (2013b), "Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment", Compos. Struct., 106, 128-138. DOI
41	Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates", J. Appl. Mech., 18, 31-38.
42	Lei, Z.X., Zhang, L.W., Liew, K.M. and Yu, J.L. (2016), "Dynamic stability analysis of carbon nanotubereinforced functionally graded cylindrical panels using the element-free kp-Ritz method", Compos. Struct., 113, 328-338.
43	Liew, K.M., Lei, Z.X. and Zhang, L.W. (2015), "Mechanical analysis of functionally graded carbon nanotube reinforced composites, A review", Compos. Struct., 120, 90-97. DOI
44	Martone, A., Faiella, G., Antonucci, V., Giordano, M. and Zarrelli, M. (2011), "The effect of the aspect ratio of carbon nanotubes on their effective reinforcement modulus in an epoxy matrix", Compos. Sci. Technol., 71(8), 1117-1123. DOI
45	Meguid, S.A. and Sun, Y. (2004), "On the tensile and shear strength of nano-reinforced composite interfaces", Mater. Des., 25(4), 289-296. DOI
46	Mehar, K., Panda, S.K., Dehengia, A. and Ranjan Kar, V. (2015), "Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment", J. Sand. Struct. Mater., 18(2), 151-173. DOI
47	Moradi-Dastjerdi, R. (2016), "Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube", Struct. Eng. Mech., Int. J., 57(3), 441-456. DOI
48	Moradi-Dastjerdi, R. and Pourasghar, A. (2016), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load", J. Vib. Control, 22(4), 1062-1075. DOI
49	Moradi-Dastjerdi, R., Foroutan, M. and Pourasghar, A. (2013a), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method", Mater. Des., 44, 256-266. DOI

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