Elastic wave propagation and time history analysis in FG nanocomposite cylinders reinforced by carbon nanotubes using a hybrid mesh-free method

Engineering Computations (Swansea, Wales)

Volumn 31, Issue 7, 2014, Pages 1261-1282

  Hosseini, Seyed Mahmoud ^a  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Functionally graded materials; Mesh free method; Nanocomposites; Thick hollow cylinder; Wave propagation

Indexed keywords

CARBON NANOTUBES; CYLINDERS (SHAPES); FINITE DIFFERENCE METHOD; FUNCTIONALLY GRADED MATERIALS; GRADING; MESH GENERATION; NANOCOMPOSITES; NONLINEAR ANALYSIS; REINFORCED PLASTICS; REINFORCEMENT; SHOCK PROBLEMS; WAVE PROPAGATION;

ALIGNED CARBON NANOTUBES; DESIGN/METHODOLOGY/APPROACH; EFFECTIVE MATERIAL PROPERTY; GENERALIZED FINITE DIFFERENCE; MESH FREE METHODS; MICRO-MECHANICAL MODELING; THICK HOLLOW CYLINDERS; TIME HISTORY ANALYSIS;

ELASTIC WAVES;

EID: 84937544703     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/EC-12-2012-0312     Document Type: Article

References (26)

1. Benito, J.J., Urena, F. and Gavete, L. (2007), "Solving parabolic and hyperbolic equations by the generalized finite difference method", J Comput Appl Math, Vol. 209 No. 2, pp. 208-233.
2. Chandra, Y., Scarpa, F., Chowdhury, R., Adhikari, S. and Seinz, J. (2013), "Multiscale hybrid atomistic-FE approach for the nonlinear tensile behaviour of graphene nanocomposites", Composites Part A: Applied Science and Manufacturing, Vol. 46 No. 3, pp. 147-153.
3. Chandra, Y., Chowdhury, R., Scarpa, F., Adhikari, S., Seinz, J., Arnold, C., Murmu, T. and Bould, D. (2012), "Vibration frequency of graphene based composites: A multiscale approach", Materials Science and Engineering B, Vol. 177 No. 3, pp. 303-310.
4. Chowdhury, R., Wang, C.Y. and Adhikari, S. (2010), "Low-frequency vibration of multiwall carbon nanotubes with heterogeneous boundaries", Journal of Physics D: Applied Physics, Vol. 43 No. 11, pp. 1-8.
5. Dai, H. (2002), "Carbon nanotubes: opportunities and challenges", Surf Sci, Vol. 500 Nos 1/3, pp. 218-241.
6. Esawi, A.M.K. and Farag, M.M. (2007), "Carbon nanotube reinforced composites: potential and current challenges", Mater Des, Vol. 28 No. 9, pp. 2394-2401.
7. Han, X. and Liu, G.R. (2003), "Elastic waves propagation in a functionally graded piezoelectric cylinder", Smart Materials & Structures, Vol. 12 No. 6, pp. 962-971.
8. Han, X., Liu, G.R., Xi, Z.C. and Lam, K.Y. (2002), "Characteristics of waves in a functionally graded cylinder", Int. J. for Numerical Methods in Engineering, Vol. 53 No. 3, pp. 653-676.
9. 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", Engineering Computations, Vol. 24 No. 3, pp. 288-303.
10. Hosseini, S.M., Sladek, J. and Sladek, V. (2011), "Meshless local Petrov-Galerkin method for coupled thermoelasticity analysis of a functionally graded thick hollow cylinder", Engineering Analysis with Boundary Element, Vol. 35 No. 6, pp. 827-835.
11. Lau, K.T., Gu, C. and Hui, D. (2006), "A critical review on nanotube and nanotube/nanoclay related polymer composite materials", Compos Part B, Vol. 37 No. 6, pp. 425-436.
12. Okada, S. (2007), "Radial-breathing mode frequencies for nanotubes encapsulating fullerenes", Chem Phys Lett, Vol. 438 Nos 1/3, pp. 59-62.
13. Qian, Z., Jin, F., Wang, Z. and Kishimoto, K. (2007), "Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness", Int. J. of Engineering Science, Vol. 45 Nos 2/8, pp. 455-466.
14. Sladek, J., Sladek, V. and Zhang, C. (2003), "Application of meshless local petrov-galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids", CMES, Vol. 4 No. 6, pp. 637-647.
15. Soares, D. Jr, Sladek, J. and Sladek, V. (2009), "Dynamic analysis by meshless local Petrov-Galerkin formulations considering a time-marching scheme based on implicit green's functions", CMES, Vol. 50 No. 2, pp. 115-140.
16. Soares, D. Jr, Sladek, J. and Sladek, V. (2010), "Non-linear dynamic analyses by meshless local Petrov-Galerkin formulations", Int. J. Numer. Meth. Engng, Vol. 81 No. 13, pp. 1687-1699.
17. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos Struct, Vol. 91 No. 1, pp. 9-19.
18. Surana, K.S., Maduri, R.K., TenPas, P.W. and Reddy, J.N. (2006), "Elastic wave propagation in laminated composites using the space-time least-squares formulation in h, p, k Framework", Mechanics of Advanced Materials and Structures, Vol. 13 No. 2, pp. 161-196.
19. Talebian, S.T., Tahani, M., Hosseini, S.M. and Abolbashari, M.H. (2010), "Displacement time history analysis and radial wave propagation velocity in pressurized multiwall carbon nanotubes", Computational Materials Sciences, Vol. 49 No. 2, pp. 283-292.
20. Talebian, S.T., Tahani, M., Abolbashari, M.H. and Hosseini, S.M. (2011), "Effects of dimensional parameters and various boundary conditions on axisymmetric vibrations of multiwalled carbon nanotubes using a continuum model", Archive of Applied Mechanics, Vol. 81 No. 8, pp. 1129-1140.
21. Talebian, T., Tahani, M., Abolbashari, M.H. and Hosseini, S.M. (2012), "An analytical solution for thermal shock analysis of multiwall carbon nanotubes", Computational Materials Sciences, Vol. 61, August, pp. 291-297.
22. Thostenson, E.T., Ren, Z.F and Chou, T.W. (2001), "Advances in the science and technology of carbon nanotubes and their composites: A review", Compos Sci Technol, Vol. 61 No. 13, pp. 1899-1912.
23. Uchida, T., Tazawa, M., Sakai, H., Yamazaki, A and Kobayashi, Y. (2008), "Radial breathing modes of single-walled carbon nanotubes in resonance Raman spectra at high temperature and their chiral index assignment", Appl Surf Sci, Vol. 254 No. 23, pp. 7591-7595.
24. Wang, C.Y., Zhao, Y., Adhikari, S. and Feng, Y.T. (2010), "Vibration of axially strained triple-wall carbon nanotubes", Journal of Computational and Theoretical Nanoscience, Vol. 7 No. 11, pp. 2176-2185.
25. Zhao, X., Ando, Y., Qin, L.C., Kataura, H., Maniwa, Y. and Saito, R. (2002), "Radial breathing modes of multiwalled carbon nanotubes", Chem Phys Lett, Vol. 361 Nos 1/2, pp. 169-174.
26. Hosseini, S.M., Shahabian, F., Sladek, J. and Sladek, V. (2011), "Stochastic meshless local Petrov-Galerkin (MLPG) method for thermo-elastic wave propagation analysis in functionally graded thick hollow cylinders", CMES, Vol. 71 No. 1, pp. 39-66.