Material length scale and nonlocal effects on the wave propagation of composite laminated cylindrical micro/nanoshells

  • Hamid Zeighampour
  • Yaghoub Tadi Beni
  • Iman Karimipour
Regular Article

Abstract.

Wave propagation in composite laminated cylindrical microshell was investigated by accounting for simultaneous effects of two influential parameters resulting from the nonlocal and strain gradient effects. The thin shell model was used for modeling the composite laminated cylindrical microshell, and the nonlocal strain gradient theory was employed as well. Classical governing equations were derived from Hamilton’s principle. The results demonstrate that the rigidity of the composite laminated cylindrical microshell in the strain gradient theory is more than that in the classical theory and less than that in the nonlocal theory. Moreover, the effect of fiber angle in layers on phase velocity of the composite laminated cylindrical microshell was investigated, demonstrating that the size parameter, the composite laminated cylindrical microshell thickness, and the circumferential wave number have considerable effects on the phase velocity of the composite laminated cylindrical microshell.

References

  1. 1.
    M.H. Ghayesh, H. Farokhi, A. Gholipour, Int. J. Mech. Sci. 122, 370 (2017)CrossRefGoogle Scholar
  2. 2.
    H. Zeighampour, Y.T. Beni, Arch. Appl. Mech. 85, 539 (2015)ADSCrossRefGoogle Scholar
  3. 3.
    R. Ansari, S. Sahmani, Commun. Nonlinear Sci. Numer. Simul. 17, 1965 (2012)ADSMathSciNetCrossRefGoogle Scholar
  4. 4.
    M. Shojaeian, H. Zeighampour, Compos. Struct. 143, 117 (2016)CrossRefGoogle Scholar
  5. 5.
    F. Kheibari, Y.T. Beni, Mater. Des. 114, 572 (2017)CrossRefGoogle Scholar
  6. 6.
    M.K. Zeverdejani, Y.T. Beni, Curr. Appl. Phys. 13, 1566 (2013)ADSCrossRefGoogle Scholar
  7. 7.
    J.N. Reddy, J. Mech. Phys. Solids 59, 2382 (2011)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    H. Zeighampour, Y.T. Beni, Physica E 61, 28 (2014)ADSCrossRefGoogle Scholar
  9. 9.
    J.N. Reddy, J. Kim, Compos. Struct. 94, 1128 (2012)CrossRefGoogle Scholar
  10. 10.
    H. Zeighampour, Y.T. Beni, Int. J. Eng. Sci. 81, 107 (2014)CrossRefGoogle Scholar
  11. 11.
    B. Akgöz, Ö. Civalek, Compos. Struct. 98, 314 (2013)CrossRefGoogle Scholar
  12. 12.
    B. Akgöz, Ö. Civalek, Int. J. Eng. Sci. 49, 1268 (2011)CrossRefGoogle Scholar
  13. 13.
    B. Akgöz, Ö. Civalek, Int. J. Mech. Sci. 85, 90 (2014)Google Scholar
  14. 14.
    H. Zeighampour, Y.T. Beni, F. Mehralian, Acta Mech. 226, 2607 (2015)MathSciNetCrossRefGoogle Scholar
  15. 15.
    B. Akgöz, Ö. Civalek, J. Vib. Control 20, 606 (2014)MathSciNetCrossRefGoogle Scholar
  16. 16.
    B. Akgöz, Ö. Civalek, Acta Mech. 226, 2277 (2015)MathSciNetCrossRefGoogle Scholar
  17. 17.
    M. Abbasi, N. Abbasi, Int. J. Nano Dimens. 7, 49 (2016)Google Scholar
  18. 18.
    H. Zeighampour, Y.T. Beni, Int. J. Eng. Sci. 78, 27 (2014)CrossRefGoogle Scholar
  19. 19.
    M. Shojaeian, Y.T. Beni, Sens. Actuators A 232, 49 (2015)CrossRefGoogle Scholar
  20. 20.
    M. Shojaeian, Y.T. Beni, H. Ataei, J. Phys. D: Appl. Phys. 49, 295303 (2016)CrossRefGoogle Scholar
  21. 21.
    S. Narendar, S. Ravinder, S. Gopalakrishnan, Int. J. Nano Dimens. 3, 1 (2012)Google Scholar
  22. 22.
    Y. Tadi Beni, J. Intell. Mater. Syst. Struct. 27, 2199 (2016)CrossRefGoogle Scholar
  23. 23.
    Y.T. Beni, Mech. Res. Commun. 75, 67 (2016)CrossRefGoogle Scholar
  24. 24.
    Y.T. Beni, I. Karimipour, M. Abadyan, Appl. Math. Modell. 39, 2633 (2015)CrossRefGoogle Scholar
  25. 25.
    H. Zeighampour, Y.T. Beni, I. Karimipour, Arab. J. Sci. Eng. 41, 1713 (2016)MathSciNetCrossRefGoogle Scholar
  26. 26.
    B. Arash, Q. Wang, Comput. Mater. Sci. 51, 303 (2012)CrossRefGoogle Scholar
  27. 27.
    O. Rahmani, S. Asemani, S. Hosseini, J. Nanostruct. 6, 90 (2016)Google Scholar
  28. 28.
    Ö. Civalek, Ç. Demir, Appl. Math. Modell. 35, 2053 (2011)CrossRefGoogle Scholar
  29. 29.
    S. Hosseini-Hashemi, M. Zare, R. Nazemnezhad, Compos. Struct. 100, 290 (2013)CrossRefGoogle Scholar
  30. 30.
    Y. Huang, Q.Z. Luo, X.F. Li, Compos. Struct. 95, 328 (2013)CrossRefGoogle Scholar
  31. 31.
    M. Karimi, A. Shahidi, Int. J. Nano Dimens. 6, 525 (2015)Google Scholar
  32. 32.
    K. Kiani, Appl. Math. Model. 37, 1836 (2013)MathSciNetCrossRefGoogle Scholar
  33. 33.
    C.W. Lim, C. Li, J.L. Yu, J. Sound Vib. 331, 2798 (2012)ADSCrossRefGoogle Scholar
  34. 34.
    T.P. Kumar, S. Narendar, B. Gupta, S. Gopalakrishnan, Int. J. Nano Dimens. 4, 29 (2013)Google Scholar
  35. 35.
    J.N. Reddy, Int. J. Eng. Sci. 45, 288 (2007)CrossRefGoogle Scholar
  36. 36.
    S. Hosseini Hashemi, H. Bakhshi Khaniki, Int. J. Nano Dimens. 8, 70 (2017)Google Scholar
  37. 37.
    J.N. Reddy, Int. J. Eng. Sci. 48, 1507 (2010)CrossRefGoogle Scholar
  38. 38.
    A. Ghorbanpour-Arani, M. Shokravi, J. Nanostruct. 3, 467 (2013)Google Scholar
  39. 39.
    J.N. Reddy, S.D. Pang, J. Appl. Phys. 103, 023511 (2008)ADSCrossRefGoogle Scholar
  40. 40.
    A. Tourki Samaei, S. Hosseini Hashemi, Int. J. Nano Dimens. 2, 227 (2012)Google Scholar
  41. 41.
    H.M. Sedighi, F. Daneshmand, M. Abadyan, J. Appl. Math. Mech. 96, 385 (2016)Google Scholar
  42. 42.
    B.L. Wang, K.F. Wang, Compos. Part B: Eng. 47, 96 (2013)CrossRefGoogle Scholar
  43. 43.
    H.M. Sedighi, Int. J. Appl. Mech. 6, 1450030 (2014)CrossRefGoogle Scholar
  44. 44.
    R. Ansari, H. Rouhi, Int. J. Nano Dimens. 6, 453 (2015)Google Scholar
  45. 45.
    A. Ghorbanpour-Arani, J. Nanostruct. 5, 33 (2015)Google Scholar
  46. 46.
    N.A. Fleck, J.W. Hutchinson, Adv. Appl. Mech. 33, 295 (1997)CrossRefGoogle Scholar
  47. 47.
    R. Maranganti, P. Sharma, J. Mech. Phys. Solids 55, 1823 (2007)ADSCrossRefGoogle Scholar
  48. 48.
    D.C.C. Lam, F. Yang, A.C.M. Chong, J. Wang, P. Tong, J. Mech. Phys. Solids 51, 1477 (2003)ADSCrossRefGoogle Scholar
  49. 49.
    B. Akgöz, Ö. Civalek, Acta Astronaut. 119, 1 (2016)ADSCrossRefGoogle Scholar
  50. 50.
    Y.-G. Hu, K.M. Liew, Q. Wang, X.Q. He, B.I. Yakobson, J. Mech. Phys. Solids 56, 3475 (2008)ADSCrossRefGoogle Scholar
  51. 51.
    R. Ansari, H. Rouhi, S. Sahmani, Int. J. Eng. Sci. 53, 786 (2011)Google Scholar
  52. 52.
    Y.-G. Hu, K.M. Liew, Q. Wang, J. Nanosci. Nanotechnol. 11, 10401 (2011)CrossRefGoogle Scholar
  53. 53.
    Ö. Civalek, C. Demir, Appl. Math. Comput. 289, 335 (2016)MathSciNetGoogle Scholar
  54. 54.
    H.-S. Shen, C.-L. Zhang, Compos. Struct. 92, 1073 (2010)CrossRefGoogle Scholar
  55. 55.
    L. Wang, H. Hu, W. Guo, Nanotechnology 17, 1408 (2006)ADSCrossRefGoogle Scholar
  56. 56.
    C. Lim, G. Zhang, J. Reddy, J. Mech. Phys. Solids 78, 298 (2015)ADSMathSciNetCrossRefGoogle Scholar
  57. 57.
    L. Li, Y. Hu, Comput. Mater. Sci. 112, 282 (2016)CrossRefGoogle Scholar
  58. 58.
    L. Li, Y. Hu, X. Li, Int. J. Mech. Sci. 115, 135 (2016)CrossRefGoogle Scholar
  59. 59.
    F. Ebrahimi, M.R. Barati, A. Dabbagh, Int. J. Eng. Sci. 107, 169 (2016)CrossRefGoogle Scholar
  60. 60.
    C.M.C. Roque, D.S. Fidalgo, A.J.M. Ferreira, J.N. Reddy, Compos. Struct. 96, 532 (2013)CrossRefGoogle Scholar
  61. 61.
    M. Mohammad-Abadi, A. Daneshmehr, Int. J. Mech. Sci. 74, 1 (2014)Google Scholar
  62. 62.
    C. Wanji, W. Chen, K.Y. Sze, Compos. Struct. 94, 2599 (2012)CrossRefGoogle Scholar
  63. 63.
    Ö. Civalek, J. Compos. Mater. 42, 2853 (2008)ADSCrossRefGoogle Scholar
  64. 64.
    J.N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis (CRC press, 2004)Google Scholar
  65. 65.
    M. Lazar, G. Po, Phys. Lett. A 379, 1538 (2015)ADSMathSciNetCrossRefGoogle Scholar
  66. 66.
    I.M. Gitman, H. Askes, E. Kuhl, E.C. Aifantis, Int. J. Solids Struct. 47, 1099 (2010)CrossRefGoogle Scholar
  67. 67.
    J.F. Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices (Oxford University Press, 1985)Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Young Researchers and Elite Club, Najafabad BranchIslamic Azad UniversityNajafabadIran
  2. 2.Faculty of EngineeringShahrekord UniversityShahrekordIran

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