Advances in nano research

  • 제10권2호
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  • Pages.151-163
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  • 2021
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  • 2287-237X(pISSN)
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  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates

  • 투고 : 2020.05.27
  • 심사 : 2020.12.09
  • 발행 : 2021.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

The main target of this study is to investigate nonlinear transient responses of moving polymer nano-size plates fortified by means of Graphene Platelets (GPLs) and resting on a Winkler-Pasternak foundation under a transverse pressure force and a temperature variation. Two graphene spreading forms dispersed through the plate thickness are studied, and the Halpin-Tsai micro-mechanics model is used to obtain the effective Young's modulus. Furthermore, the rule of mixture is employed to calculate the effective mass density and Poisson's ratio. In accordance with the first order shear deformation and von Karman theory for nonlinear systems, the kinematic equations are derived, and then nonlocal strain gradient scheme is used to reflect the effects of nonlocal and strain gradient parameters on small-size objects. Afterwards, a combined approach, kinetic dynamic relaxation method accompanied by Newmark technique, is hired for solving the time-varying equation sets, and Fortran program is developed to generate the numerical results. The accuracy of the current model is verified by comparative studies with available results in the literature. Finally, a parametric study is carried out to explore the effects of GPL's weight fractions and dispersion patterns, edge conditions, softening and hardening factors, the temperature change, the velocity of moving nanoplate and elastic foundation stiffness on the dynamic response of the structure. The result illustrates that the effects of nonlocality and strain gradient parameters are more remarkable in the higher magnitudes of the nanoplate speed.

키워드

참고문헌

  1. Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory", Comput. Concrete, Int. J., 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
  2. Akbas, S.D. (2019), "Hygro-thermal nonlinear analysis of a functionally graded beam", J. Appl. Comput. Mech., 5(2), 477-485. https://doi.org/10.22055/JACM.2018.26819.1360.
  3. Al-Furjan, M., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020a), "Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM", Compos. Struct., 252, 112737. https://doi.org/10.1016/j.compstruct.2020.112737.
  4. Al-Furjan, M.S.H., Habibi, M., Jung, D.W., Sadeghi, S., Safarpour, H., Tounsi, A. and Chen, G. (2020b), "A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel", Eng. Comput., 2020, 1-18. https://doi.org/10.1007/s00366-020-01130-8.
  5. Al-Furjan, M.S.H., Habibi, M., Rahimi, A., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020c), "Chaotic simulation of the multi-phase reinforced thermo-elastic disk using GDQM", Eng. Comput., 229(1), 94. https://doi.org/10.1007/s00366-020-01144-2.
  6. Al-Furjan, M.S.H., Safarpour, H., Habibi, M., Safarpour, M. and Tounsi, A. (2020d), "A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method", Eng. Comput., 2020, 1-18. https://doi.org/10.1007/s00366-020-01088-7.
  7. Al-Mashat, L., Shin, K., Kalantar-zadeh, K., Plessis, J.D., Han, S.H., Kojima, R.W., Kaner, R.B., Li, D., Gou, X., Ippolito, S.J. and Wlodarski, W. (2010), "Graphene/polyaniline nanocomposite for hydrogen sensing", J. Phys. Chem. C, 114(39), 16168-16173. https://doi.org/10.1021/jp103134u.
  8. Alamatian, J. (2012), "A new formulation for fictitious mass of the Dynamic Relaxation method with kinetic damping", Comput. Struct., 90-91, 42-54. https://doi.org/10.1016/j.compstruc.2011.10.010.
  9. Alic, V. and Persson, K. (2016), "Form finding with dynamic relaxation and isogeometric membrane elements", Comput. Methods Appl. Mech. Eng., 300, 734-747. https://doi.org/10.1016/j.cma.2015.12.009.
  10. An, C. and Su, J. (2011), "Dynamic response of clamped axially moving beams. Integral transform solution", Appl. Math. Comput., 218(2), 249-259. https://doi.org/10.1016/j.amc.2011.05.035.
  11. Arani, A.G., Haghparast, E. and BabaAkbar Zarei, H. (2016), "Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field", Physica B Condens. Matter, 495, 35-49. https://doi.org/10.1016/j.physb.2016.04.039.
  12. Asghar, S., Naeem, M.N., Hussain, M., Taj, M. and Tounsi, A. (2020), "Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis", Comput. Concrete, Int. J., 25(2), 133-144. https://doi.org/10.12989/cac.2020.25.2.133.
  13. Balubaid, M., Tounsi, A., Dakhel, B. and Mahmoud, S.R. (2019), "Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory", Comput. Concrete, Int. J., 24(6), 579-586.
  14. Barati, M.R. (2018), "A general nonlocal stress-strain gradient theory for forced vibration analysis of heterogeneous porous nanoplates", Eur. J. Mech. A Solids, 67, 215-230. https://doi.org/10.1016/j.euromechsol.2017.09.001.
  15. Bellal, M., Hebali, H., Heireche, H., Bousahla, A.A., Tounsi, A., Bourada, F. and Tounsi, A. (2020), "Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model", Steel Compos. Struct., Int. J., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.
  16. Bendenia, N., Zidour, M., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H. and Tounsi, A. (2020), "Deflections, stresses and free vibration studies of FG-CNT reinforced sandwich plates resting on Pasternak elastic foundation", Comput. Concrete, Int. J., 26(3), 213-226. https://doi.org/10.12989/cac.2020.26.3.213.
  17. Berghouti, H., Adda Bedia, E.A., Benkhedda, A. and Tounsi, A. (2019), "Vibration analysis of nonlocal porous nanobeams made of functionally graded material", Adv. Nano Res., Int. J., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351.
  18. Bourada, F., Bousahla, A.A., Tounsi, A., Bedia, E.A.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Stability and dynamic analyses of SW-CNT reinforced concrete beam resting on elastic-foundation", Comput. Concrete, Int. J., 25(6), 485-495. https://doi.org/10.12989/cac.2020.25.6.485.
  19. Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Bedia, E.A.A. and Tounsi, A. (2020), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformatin theory", Comput. Concrete, Int. J., 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.
  20. Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2020), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst., Int. J., 25(2), 197-218. https://doi.org/10.12989/sss.2020.25.2.197.
  21. Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., Int. J., 7(3), 191-208. http://dx.doi.org/10.12989/anr.2019.7.3.191.
  22. Chen, D., Yang, J. and Kitipornchai, S. (2017), "Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams", Compos. Sci. Technol., 142, 235-245. https://doi.org/10.1016/j.compscitech.2017.02.008.
  23. Chikr, S.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A.A. and Tounsi, A. (2020), "A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin's approach", Geomech. Eng., Int. J., 21(5), 471-487. https://doi.org/10.12989/gae.2020.21.5.471.
  24. Cong, P.H. and Duc, N.D. (2018), "New approach to investigate the nonlinear dynamic response and vibration of a functionally graded multilayer graphene nanocomposite plate on a viscoelastic Pasternak medium in a thermal environment", Acta Mech., 229(9), 3651-3670. https://doi.org/10.1007/s00707-018-2178-3.
  25. Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using FSDT", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117.
  26. Ebrahimi, F. and Dabbagh, A. (2019), "Vibration analysis of multiscale hybrid nanocomposite plates based on a Halpin-Tsai homogenization model", Compos. Part B Eng., 173, 106955. https://doi.org/10.1016/j.compositesb.2019.106955.
  27. Ebrahimi, F., Karimiasl, M. and Selvamani, R. (2020), "Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading", Adv. Nano Res., 8(3), 203-214. https://doi.org/10.12989/anr.2020.8.3.203.
  28. Esmaeilzadeh, M. and Kadkhodayan, M. (2018), "Nonlinear dynamic analysis of an axially moving porous FG plate subjected to a local force with kinetic dynamic relaxation method", Comput. Methods Mater. Sci., 18(1), 18-28.
  29. Esmaeilzadeh, M. and Kadkhodayan, M. (2019a), "Dynamic analysis of stiffened bi-directional functionally graded plates with porosities under a moving load by dynamic relaxation method with kinetic damping", Aerosp. Sci. Technol., 93, 105333. https://doi.org/10.1016/j.ast.2019.105333.
  30. Esmaeilzadeh, M. and Kadkhodayan, M. (2019b), "Numerical investigation into dynamic behaviors of axially moving functionally graded porous sandwich nanoplates reinforced with graphene platelets", Mater. Res. Express, 6(10), 1050b7. https://doi.org/10.1088/2053-1591/ab407b.
  31. Gafour, Y., Hamidi, A., Benahmed, A., Zidour, M. and Bensattalah, T. (2020), "Porosity-dependent free vibration analysis of FG nanobeam using non-local shear deformation and energy principle", Adv. Nano Res., Int. J., 8(1), 37-47. https://doi.org/10.12989/anr.2020.8.1.037.
  32. Golmakani, M.E. and Zeighami, V. (2017), "Nonlinear thermo-elastic bending of functionally graded carbon nanotube-reinforced composite plates resting on elastic foundations by dynamic relaxation method", Mech. Adv. Mater. Struct., 25(10), 868-880. https://doi.org/10.1080/15376494.2017.1310336.
  33. Hanifehlou, S. and Mohammadimehr, M. (2020), "Buckling analysis of sandwich beam reinforced by GPLs using various shear deformation theories", Comput. Concrete, Int. J., 25(5), 427-432. https://doi.org/10.12989/cac.2020.25.5.427.
  34. Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., Int. J., 7(6), 431-442. https://doi.org/10.12989/anr.2019.7.6.431.
  35. Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A. and Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis", Comput. Concrete, Int. J., 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037.
  36. Li, C., Liu, J.J., Cheng, M. and Fan, X.L. (2017), "Nonlocal vibrations and stabilities in parametric resonance of axially moving viscoelastic piezoelectric nanoplate subjected to thermo-electro-mechanical forces", Compos. Part B Eng., 116, 153-169. https://doi.org/10.1016/j.compositesb.2017.01.071.
  37. Li, Q., Di, W., Chen, X., Liu, L., Yu, Y. and Gao, W. (2018), "Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler-Pasternak elastic foundation", Int. J. Mech. Sci., 148, 596-610. https://doi.org/10.1016/j.ijmecsci.2018.09.020.
  38. Liebold, C. and Muller, W. (2015), "Applications of strain gradient theories to the size effect in submicro-structures incl. experimental analysis of elastic material parameters", Bull. TICMI, 19(1), 45-55.
  39. Lim, C.W., Zhang, G. and Reddy, J.N. (2015), "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation", J. Mech. Phys. Solids, 78, 298-313. https://doi.org/10.1016/j.jmps.2015.02.001.
  40. Liu, H., Lv, Z. and Wu, H. (2019), "Nonlinear free vibration of geometrically imperfect functionally graded sandwich nanobeams based on nonlocal strain gradient theory", Compos. Struct., 214, 47-61. https://doi.org/10.1016/j.compstruct.2019.01.090.
  41. Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21(6), 1906-1929. https://doi.org/10.1177/1099636217727577.
  42. Matouk, H., Bousahla, A.A., Heireche, H., Bourada, F., Bedia, E.A.A., Tounsi, A. and Benrahou, K.H. (2020), "Investigation on hygro-thermal vibration of P-FG and symmetric S-FG nanobeam using integral Timoshenko beam theory", Adv. Nano Res., Int. J., 8(4), 293-305. https://doi.org/10.12989/anr.2020.8.4.293.
  43. Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle" Steel Compos. Struct., Int. J., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.
  44. Mohammadimehr, M. and Meskini, M. (2020), "Analysis of porous micro sandwich plate: Free and forced vibration under magneto-electro-elastic loadings", Adv. Nano Res., Int. J., 8(1), 69-82. https://doi.org/10.12989/anr.2020.8.1.069.
  45. Pashmforoush, F. (2020), "Finite element analysis of low velocity impact on carbon fibers/carbon nanotubes reinforced polymer composites", J. Appl. Comput. Mech., 6(3), 383-393. https://doi.org/10.22055/JACM.2019.29072.1554.
  46. Rabhi, M., Benrahou, K.H., Kaci, A., Houari, M.S.A., Bourada, F., Bousahla, A.A. and Tounsi, A. (2020), "A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Geomech. Eng., Int. J., 22(2), 119-132. https://doi.org/10.12989/gae.2020.22.2.119.
  47. Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nanocomposites at low graphene content", ACS Nano, 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.
  48. Reddy, M.R., Karunasena, W. and Lokuge, W. (2018), "Free vibration of functionally graded-GPL reinforced composite plates with different boundary conditions", Aerosp. Sci. Technol., 78, 147-156. https://doi.org/10.1016/j.ast.2018.04.019.
  49. Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A. and Tounsi, A. (2020), "Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, Int. J., 25(4), 311-325. https://doi.org/10.12989/cac.2020.25.4.311.
  50. Shen, H.S., Lin, F. and Xiang, Y. (2017), "Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations", Eng. Struct., 140, 89-97. https://doi.org/10.1016/j.engstruct.2017.02.069.
  51. Shishesaz, M., Shariati, M. and Yaghootian, A. (2020), "Nonlocal elasticity effect on linear vibration of nano-circular plate using adomian decomposition method", J. Appl. Comput. Mech., 6(1), 63-76. https://doi.org/10.22055/JACM.2019.28504.1488.
  52. Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070.
  53. Song, M., Gong, Y., Yang, J., Zhu, W. and Kitipornchai, S. (2019), "Free vibration and buckling analyses of edge-cracked functionally graded multilayer graphene nanoplatelet-reinforced composite beams resting on an elastic foundation", J. Sound Vib., 458, 89-108. https://doi.org/10.1016/j.jsv.2019.06.023.
  54. Tayeb, T.S., Zidour, M., Bensattalah, T., Heireche, H., Benahmed, A. and Bedia, E.A.A. (2020), "Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle", Adv. Nano Res., Int. J., 8(2), 135-148. https://doi.org/10.12989/anr.2020.8.2.135.
  55. Tounsi, A., Al-Dulaijan, S.U., Al-Osta, M.A., Chikh, A., Al-Zahrani, M.M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., Int. J., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.
  56. Wang, Y., Feng, C., Santiuste, C., Zhao, Z. and Yang, J. (2019a), "Buckling and postbuckling of dielectric composite beam reinforced with graphene platelets (GPLs)", Aerosp. Sci. Technol., 91, 208-218. https://doi.org/10.1016/j.ast.2019.05.008.
  57. Wang, Y., Xie, K., Shi, C. and Fu, T. (2019b), "Nonlinear bending of axially functionally graded microbeams reinforced by graphene nanoplatelets in thermal environments", Mater. Res. Express, 6(8), 85615. https://doi.org/10.1088/2053-1591/ab1eef.
  58. Wu, H., Yang, J. and Kitipornchai, S. (2017), "Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment", Compos. Struct., 162, 244-254. https://doi.org/10.1016/j.compstruct.2016.12.001.
  59. Yang, B., Yang, J. and Kitipornchai S. (2017), "Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity", Meccanica, 52(10), 2275-2292. https://doi.org/10.1007/s11012-016-0579-8.
  60. Yang, J., Chen, D. and Kitipornchai, S. (2018), "Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method", Compos. Struct., 193, 281-294. https://doi.org/10.1016/j.compstruct.2018.03.090.
  61. Zhang, Y.W., Zhang, Z., Chen, L.Q., Yang, T.Z., Fang, B. and Zang, J. (2015), "Impulse-induced vibration suppression of an axially moving beam with parallel nonlinear energy sinks", Nonlin. Dyn., 82(1-2), 61-71. https://doi.org/10.1007/s11071-015-2138-6.
  62. Zhang, Y.F., Zhao, Y.H., Bai, S.L. and Yuan, X. (2016), "Numerical simulation of thermal conductivity of graphene filled polymer composites", Compos. Part B Eng., 106, 324-331. https://doi.org/10.1016/j.compositesb.2016.09.052.
  63. Zhu, R., Pan, E. and Roy, A.K. (2007), "Molecular dynamics study of the stress-strain behavior of carbon-nanotube reinforced Epon 862 composites", Mater. Sci. Eng. A, 447(1-2), 51-57. https://doi.org/10.1016/j.msea.2006.10.054.