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Investigating dynamic characteristics of porous double-layered FG nanoplates in elastic medium via generalized nonlocal strain gradient elasticity

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Abstract.

For the first time, a vibrating porous double-nanoplate system under in-plane periodic loads is modeled via the generalized nonlocal strain gradient theory (NSGT). Based on the proposed theory, one can examine both stiffness-softening and stiffness-hardening effects for a more accurate analysis of nanoplates. Nanopores or nanovoids are incorporated to the model based on a modified rule of mixture. Modeling of porous double-layered nanoplate is conducted according to a refined four-variable plate theory with fewer field variables than first-order plate theory. The governing equations and related classical and nonclassical boundary conditions are derived based on Hamilton’s principle. These equations are solved for hinged nanoplates via Galerkin's method. It is shown that porosities, nonlocal parameter, strain gradient parameter, material gradation, interlayer stiffness, elastic foundation, side-to-thickness and aspect ratios have a notable impact on the vibration behavior of nanoporous materials.

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References

  1. M.R. Barati, H. Shahverdi, A.M. Zenkour, Mech. Adv. Mater. Struct. 24, 987 (2017)

    Article  Google Scholar 

  2. J.C. Yu, A. Xu, L. Zhang, R. Song, L. Wu, J. Phys. Chem. B 108, 64 (2004)

    Article  Google Scholar 

  3. Y. Qiu, W. Chen, S. Yang, J. Mater. Chem. 20, 1001 (2010)

    Article  Google Scholar 

  4. K. Adpakpang, S.B. Patil, S.M. Oh, J.H. Kang, M. Lacroix, S.J. Hwang, Electrochim. Acta 204, 60 (2016)

    Article  Google Scholar 

  5. I. Mechab, B. Mechab, S. Benaissa, B. Serier, B.B. Bouiadjra, J. Braz. Soc. Mech. Sci. Eng. 38, 2193 (2016)

    Article  Google Scholar 

  6. C.Y. Lee, J.H. Kim, Compos. Struct. 95, 278 (2013)

    Article  Google Scholar 

  7. M. Reza Barati, H. Shahverdi, Eur. Phys. J. Plus 132, 1 (2017)

    Article  Google Scholar 

  8. M. Sobhy, Int. J. Mech. Sci. 110, 62 (2016)

    Article  Google Scholar 

  9. Z. Lee, C. Ophus, L.M. Fischer, N. Nelson-Fitzpatrick, K.L. Westra, S. Evoy, D. Mitlin, Nanotechnology 17, 3063 (2006)

    Article  Google Scholar 

  10. Ye Yumin, Biofunctional polymer coatings via initiated chemical vapor deposition, Oklahoma State University dissertation (2012) see in particular apppendix A

  11. F. Mao, M. Taher, O. Kryshtal, A. Kruk, A. Czyrska-Filemonowicz, M. Ottosson, U. Jansson, ACS Appl. Mater. Interfaces 8, 30635 (2016)

    Article  Google Scholar 

  12. J. Zalesak, M. Bartosik, R. Daniel, C. Mitterer, C. Krywka, D. Kiener, J. Keckes, Acta Mater. 102, 212 (2016)

    Article  Google Scholar 

  13. C.F. Lü, W.Q. Chen, C.W. Lim, Compos. Sci. Technol. 69, 1124 (2009)

    Article  Google Scholar 

  14. H.M. Sedighi, M. Keivani, M. Abadyan, Compos. Part B: Eng. 83, 117 (2015)

    Article  Google Scholar 

  15. H.M. Sedighi, F. Daneshmand, M. Abadyan, Compos. Struct. 132, 545 (2015)

    Article  Google Scholar 

  16. A.C. Eringen, D.G.B. Edelen, Int. J. Eng. Sci. 10, 233 (1972)

    Article  Google Scholar 

  17. A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)

    Article  ADS  Google Scholar 

  18. E. Tufekci, S.A. Aya, Mech. Res. Commun. 76, 11 (2016)

    Article  Google Scholar 

  19. M. Danesh, A. Farajpour, M. Mohammadi, Mech. Res. Commun. 39, 23 (2012)

    Article  Google Scholar 

  20. Y. Lei, S. Adhikari, T. Murmu, M.I. Friswell, Mech. Res. Commun. 62, 94 (2014)

    Article  Google Scholar 

  21. A. Assadi, M. Salehi, M. Akhlaghi, Physica E 74, 576 (2015)

    Article  ADS  Google Scholar 

  22. M. Arefi, A.M. Zenkour, Mech. Res. Commun. 79, 51 (2017)

    Article  Google Scholar 

  23. A.T. Samaei, S. Abbasion, M.M. Mirsayar, Mech. Res. Commun. 38, 481 (2011)

    Article  Google Scholar 

  24. Y.Z. Wang, F.M. Li, Mech. Res. Commun. 41, 44 (2012)

    Article  ADS  Google Scholar 

  25. F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 132, 19 (2017)

    Article  Google Scholar 

  26. Y. Wang, F.M. Li, Y.Z. Wang, Physica E 67, 65 (2015)

    Article  ADS  Google Scholar 

  27. C.C. Liu, Z.B. Chen, Physica E 60, 139 (2014)

    Article  Google Scholar 

  28. J. Zang, B. Fang, Y.W. Zhang, T.Z. Yang, D.H. Li, Physica E 63, 147 (2014)

    Article  ADS  Google Scholar 

  29. S.R. Asemi, A. Farajpour, H.R. Asemi, M. Mohammadi, Physica E 63, 169 (2014)

    Article  ADS  Google Scholar 

  30. R. Ansari, A. Shahabodini, M.F. Shojaei, V. Mohammadi, R. Gholami, Physica E 57, 126 (2014)

    Article  ADS  Google Scholar 

  31. Y.Z. Wang, F.M. Li, Int. J. Non-Linear Mech. 61, 74 (2014)

    Article  ADS  Google Scholar 

  32. S. Chakraverty, L. Behera, Physica E 56, 357 (2014)

    Article  ADS  Google Scholar 

  33. F. Ebrahimi, M.R. Barati, Mech. Adv. Mater. Struct. (2017) DOI:10.1080/15376494.2017.1285464

  34. K. Kiani, Physica E 57, 179 (2014)

    Article  ADS  Google Scholar 

  35. A.M. Zenkour, M. Sobhy, Physica E 53, 251 (2013)

    Article  ADS  Google Scholar 

  36. S. Natarajan, S. Chakraborty, M. Thangavel, S. Bordas, T. Rabczuk, Comput. Mater. Sci. 65, 74 (2012)

    Article  Google Scholar 

  37. A. Daneshmehr, A. Rajabpoor, Int. J. Eng. Sci. 82, 84 (2014)

    Article  Google Scholar 

  38. M.R. Nami, M. Janghorban, Compos. Struct. 111, 349 (2014)

    Article  Google Scholar 

  39. R. Ansari, M.F. Shojaei, A. Shahabodini, M. Bazdid-Vahdati, Compos. Struct. 131, 753 (2015)

    Article  Google Scholar 

  40. A. Daneshmehr, A. Rajabpoor, A. Hadi, Int. J. Engin. Sci. 95, 23 (2015)

    Article  Google Scholar 

  41. I. Belkorissat, M.S.A. Houari, A. Tounsi, E.A. Bedia, S.R. Mahmoud, Steel Compos. Structur. 18, 1063 (2015)

    Article  Google Scholar 

  42. Y.Z. Wang, F.M. Li, Mech. Res. Commun. 60, 45 (2014)

    Article  Google Scholar 

  43. F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 910 (2016)

    Article  ADS  Google Scholar 

  44. F. Ebrahimi, A. Dabbagh, M.R. Barati, Eur. Phys. J. Plus 131, 433 (2016)

    Article  Google Scholar 

  45. F. Ebrahimi, M.R. Barati, J. Braz. Soc. Mech. Sci. Eng. 39, 2203 (2017)

    Article  Google Scholar 

  46. M. Sobhy, Compos. Struct. 134, 966 (2015)

    Article  Google Scholar 

  47. K. Khorshidi, A. Fallah, Int. J. Mech. Sci. 113, 94 (2016)

    Article  Google Scholar 

  48. M. Sobhy, A.F. Radwan, Int. J. Appl. Mech. 9, 1750008 (2017)

    Article  Google Scholar 

  49. D.C. Lam, F. Yang, A.C.M. Chong, J. Wang, P. Tong, J. Mech. Phys. Sol. 51, 1477 (2003)

    Article  ADS  Google Scholar 

  50. C.W. Lim, G. Zhang, J.N. Reddy, J. Mech. Phys. Sol. 78, 298 (2015)

    Article  ADS  Google Scholar 

  51. L. Li, Y. Hu, L. Ling, Compos. Struct. 133, 1079 (2015)

    Article  Google Scholar 

  52. L. Li, X. Li, Y. Hu, Int. J. Eng. Sci. 102, 77 (2016)

    Article  Google Scholar 

  53. L. Li, Y. Hu, X. Li, Int. J. Mech. Sci. 115, 135 (2016)

    Article  Google Scholar 

  54. L. Li, Y. Hu, Int. J. Mech. Sci. 120, 159 (2017)

    Article  Google Scholar 

  55. F. Ebrahimi, M.R. Barati, Compos. Struct. 159, 433 (2017)

    Article  Google Scholar 

  56. F. Ebrahimi, M.R. Barati, Proc. Inst. Mech. Eng. Part C (2016) DOI:10.1177/0954406216668912

  57. A. Farajpour, M.H. Yazdi, A. Rastgoo, M. Mohammadi, Acta Mech. 227, 1849 (2016)

    Article  MathSciNet  Google Scholar 

  58. M.R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Micro & Nano Lett. 11, 302 (2016)

    Article  Google Scholar 

  59. F. Ebrahimi, M.R. Barati, A. Dabbagh, Int. J. Eng. Sci. 107, 169 (2016)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Aerospace Engineering Department & Center of Excellence in Computational Aerospace, Amirkabir University of Technology, Tehran, Iran

    Mohammad Reza Barati

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  1. Mohammad Reza Barati
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Correspondence to Mohammad Reza Barati.

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Reza Barati, M. Investigating dynamic characteristics of porous double-layered FG nanoplates in elastic medium via generalized nonlocal strain gradient elasticity. Eur. Phys. J. Plus 132, 378 (2017). https://doi.org/10.1140/epjp/i2017-11670-x

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