DOI QR코드

DOI QR Code

Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube

  • 투고 : 2014.03.18
  • 심사 : 2016.01.11
  • 발행 : 2016.02.10

초록

This work reports wave propagation in the nanocomposite cylinders that reinforced by straight single-walled carbon nanotubes based on a mesh-free method. Moving least square shape functions have been used for approximation of displacement field in weak form of motion equation. The straight carbon nanotubes (CNTs) are assumed to be oriented in specific or random directions or locally aggregated into some clusters. In this simulation, an axisymmetric model is used and also the volume fractions of the CNTs and clusters are assumed to be functionally graded along the thickness. So, material properties of the carbon nanotube reinforced composite cylinders are variable and estimated based on the Eshelby-Mori-Tanaka approach. The effects of orientation, aggregation and volume fractions of the functionally graded clusters and CNTs on dynamic behavior of nanocomposite cylinders are studied. This study results show that orientation and aggregation of CNTs have significant effects on the effective stiffness and dynamic behaviors.

키워드

참고문헌

  1. Barai, P. and Weng, G.J. (2011), "A theory of plasticity for carbon nanotube reinforced composite", Int. J. Plast., 27, 539-59. https://doi.org/10.1016/j.ijplas.2010.08.006
  2. Fidelus, J.D., Wiesel, E., Gojny, F.H., Schulte, K. and Wagner, H.D. (2005), "Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites", Compos. Part A, 36, 1555-61. https://doi.org/10.1016/j.compositesa.2005.02.006
  3. Foroutan, M. and Moradi-Dastjerdi, R. (2011), "Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method", Acta Mech., 219, 281-90. https://doi.org/10.1007/s00707-011-0448-4
  4. Foroutan, M., Moradi-Dastjerdi, R. and Sotoodeh-Bahreini, R. (2012), "Static analysis of FGM cylinders by a mesh-free method", Steel Compos. Struct., 12, 1-12. https://doi.org/10.12989/scs.2012.12.1.001
  5. Griebel, M. and Hamaekers, J. (2004), "molecular dynamic simulations of the elastic moduli of polymercarbon nanotube composites", Comput. Meth. Appl. Mech. Eng., 193, 1773-88. https://doi.org/10.1016/j.cma.2003.12.025
  6. Han, Y. and Elliott, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39, 315-23. https://doi.org/10.1016/j.commatsci.2006.06.011
  7. Hosseini, S.M., Akhlaghi, M. and Shakeri, M. (2007), "Dynamic response and radial wave propagation velocity in thick hollow cylinder made of functionally graded materials", Int. J. Comput. Aid. Eng. Softw., 24, 288-303. https://doi.org/10.1108/02644400710735043
  8. 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, 2036-44. https://doi.org/10.1002/pc.22346
  9. Lancaster, P. and Salkauskas, K. (1981), "Surface generated by moving least squares methods", Math. Comput., 37, 141-58. https://doi.org/10.1090/S0025-5718-1981-0616367-1
  10. Manchado, M.A.L., Valentini, L., Biagiotti, J. and Kenny, J.M. (2005), "Thermal and mechanical properties of single-walled carbon nanotubes-polypropylene composites prepared by melt processing", Carbon, 43, 1499-505. https://doi.org/10.1016/j.carbon.2005.01.031
  11. Mokashi, V.V., Qian, D. and Liu, Y.J. (2007), "A study on the tensile response and fracture in carbon nanotube-based composites using molecular mechanics", Compos. Sci. Technol., 67, 530-40. https://doi.org/10.1016/j.compscitech.2006.08.014
  12. Mollarazi, H.R., Foroutan, M. and Moradi-Dastjerdi, R. (2011), "Analysis of free vibration of functionally graded material (FGM) cylinders by a meshless method", J. Compos. Mater., 46, 507-15.
  13. Montazeri, A., Javadpour, J., Khavandi, A., Tcharkhtchi, A. and Mohajeri, A. (2010), "Mechanical properties of multi-walled carbon nanotube/epoxy composites", Mater. Des., 31, 4202-8. https://doi.org/10.1016/j.matdes.2010.04.018
  14. 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, 1901-13. https://doi.org/10.1177/0021998313491617
  15. Moradi-Dastjerdi, R., Foroutan, M. and Pourasghar, A. (2013), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method", Mater. Des., 44, 256-66. https://doi.org/10.1016/j.matdes.2012.07.069
  16. Moradi-Dastjerdi, R., Foroutan, M., Pourasghar, A. and Sotoudeh-Bahreini, R. (2013), "Static analysis of functionally graded carbon nanotube-reinforced composite cylinders by a mesh-free method", J. Reinf. Plast. Compos., 32, 593-601. https://doi.org/10.1177/0731684413476353
  17. Moradi-Dastjerdi, R., Pourasghar, A. and Foroutan, M. (2013), "The effects of carbon nanotube orientation and aggregation on vibrational behavior of functionally graded nanocomposite cylinders by a mesh-free method", Acta Mech., 224, 2817-32. https://doi.org/10.1007/s00707-013-0897-z
  18. Odegard, G.M., Gates, T.S., Wise, K.E., Park, C. and Siochi, E.J. (2003), "Constitutive modeling of nanotube-reinforced polymer composites", Compos. Sci. Technol., 63, 1671-1687. https://doi.org/10.1016/S0266-3538(03)00063-0
  19. Prylutskyy, Y.I., Durov, S.S., Ogloblya, O.V., Buzaneva, E.V. and Scharff, P. (2000), "Molecular dynamics simulation of mechanical, vibrational and electronic properties of carbon nanotubes", Comput. Mater. Sci., 17, 352-355. https://doi.org/10.1016/S0927-0256(00)00051-3
  20. Qian, D., Dickey, E.C., Andrews, R. and Rantell, T. (2000), "Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites", Appl. Phys. Lett., 76, 2868-70. https://doi.org/10.1063/1.126500
  21. Shen, H.S. (2011), "Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells", Compos. Struct., 93, 2096-108. https://doi.org/10.1016/j.compstruct.2011.02.011
  22. Shi, D.L., Feng, X.Q., Yonggang, Y.H., Hwang, K.C. and Gao, H. (2004), "The effect of nanotube waviness and agglomeration on the elasticproperty of carbon nanotube reinforced composites", J. Eng. Mater. Technol., 126, 250-257. https://doi.org/10.1115/1.1751182
  23. Shokrieh, M. and Roham, R. (2010), "Prediction of mechanical properties of an embedded carbon nanotube in polymer matrix based on developing an equivalent long fiber", Mech. Res. Commun., 37, 235-40. https://doi.org/10.1016/j.mechrescom.2009.12.002
  24. Shokrieh, M. and Roham, R. (2010), "On the tensile behavior of an embedded carbon nanotube in polymer matrix with non-bonded interphase region", Compos. Struct., 92, 647-52. https://doi.org/10.1016/j.compstruct.2009.09.033
  25. 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, 1943-54. https://doi.org/10.1016/j.compositesb.2012.01.004
  26. Song, Y.S. and Youn, J.R. (2006), "Modeling of effective elastic properties for polymer based carbon nanotube composites", Polym., 47, 1741-8. https://doi.org/10.1016/j.polymer.2006.01.013
  27. Tsai, C., Zhang, C., Jack, D.A., Liang, R. and Wang, B. (2011), "The effect of inclusion waviness and waviness distribution on elastic properties of fiber-reinforced composites", Compos. Part B, 42, 62-70. https://doi.org/10.1016/j.compositesb.2010.09.004
  28. Wagner, H.D., Lourie, O., Feldman, Y. and Tenne, R. (1997), "Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix", Appl. Phys. Lett., 72, 188-90.
  29. Yang, Q.S., He, X.Q., Liu, X., Leng, F.F. and Mai, Y.W. (2012), "The effective properties and local aggregation effect of CNT/SMP composites", Compos. Part B, 43, 33-8. https://doi.org/10.1016/j.compositesb.2011.04.027
  30. Yas, M.H. and Heshmati, M. (2012), "Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load", Appl. Math. Model., 36, 1371-94. https://doi.org/10.1016/j.apm.2011.08.037
  31. Zhu, R., Pan, E. and Roy, A.K. (2007), "Molecular dynamics study of the stress-strain behavior of carbonnanotube reinforced Epon 862 composites", Mater. Sci. Eng. A, 447, 51-7. https://doi.org/10.1016/j.msea.2006.10.054

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