DOI QR코드

DOI QR Code

Investigating dynamic response of nonlocal functionally graded porous piezoelectric plates in thermal environment

  • Ahmed, Ridha A. (Al-Mustansiriah University) ;
  • Khalaf, Basima Salman (Al-Mustansiriah University) ;
  • Raheef, Kareem Mohsen (Al-Mustansiriah University) ;
  • Fenjan, Raad M. (Al-Mustansiriah University) ;
  • Faleh, Nadhim M. (Al-Mustansiriah University)
  • 투고 : 2019.10.15
  • 심사 : 2021.06.17
  • 발행 : 2021.07.25

초록

In this research, thermal and electrical effects on dynamic response of a porous nano-sized plate modeled by a nonlocal higher-order refined plate model have been explored in detail. A hyperbolic shear stain function has been used. The porous material considered in this research may have uniform or non-uniform porosity distribution across the cross section. Stain gradient effects have also been considered for more accurate modeling of the scale-dependent plate. Hamilton's rule has been employed for establishing the governing equations. Derived findings by differential quadrature (DQ) method have been validated with those represented in previous researches. The effects of thermal environment, electrical environment, nonlocal scale, and porous material on dynamic behaviors of foam-based nanoplate have been explored.

키워드

과제정보

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq for its support in the present work.

참고문헌

  1. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  2. Alibeigloo, A. (2011), "Free vibration analysis of nano-plate using three-dimensional theory of elasticity", Acta Mechanica, 222(1), 149-159. https://doi.org/10.1007/s00707-011-0518-7.
  3. Alibeigloo, A. (2013), "Three-dimensional free vibration analysis of multi-layered graphene sheets embedded in elastic matrix", J. Vib.Control, 19(16), 2357-2371. https://doi.org/10.1177/1077546312456056
  4. Al-Maliki, A.F., Faleh, N.M. and Alasadi, A.A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities," Struct. Monit. Maint., 6(2), 147-159. https://doi.org/10.12989/smm.2019.6.2.147.
  5. Atmane, H.A., Tounsi, A., Bernar, F. and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369.
  6. Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052.
  7. Chen, D., Kitipornchai, S. and Yang, J. (2016), "Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core", Thin-Wall. Struct., 107, 39-48. https://doi.org/10.1016/j.tws.2016.05.025.
  8. Eltaher, M.A., Khater, M.E., Park, S., Abdel-Rahman, E and Yavuz, M. (2016), "On the static stability of nonlocal nanobeams using higher-order beam theories", Adv. Nano Res., 4(1), 51-64. http://dx.doi.org/10.12989/anr.2016.4.051.
  9. Elmerabet, A.H., Heireche, H., Tounsi, A and Semmah, A. (2017), "Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model", Adv. Nano Res., 5(1), 1-12. https://doi.org/10.12989/anr.2017.5.1.001.
  10. Eringen, A. C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54(9), 4703-4710. https://doi.org/10.1063/1.332803.
  11. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of doublecoupled metal foam plate system with uniform and non-uniform porosities", Coupled Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  12. Forsat, M., Badnava, S., Mirjavadi, S.S., Barati, M.R. and Hamouda, A.M.S. (2020). Small scale effects on transient vibrations of porous FG cylindrical nanoshells based on nonlocal strain gradient theory", Eur. Phys. J. Plus, 135(1), 1-19. https://doi.org/10.1140/epjp/s13360-019-00042-x.
  13. Li, L., Li, X and Hu, Y. (2016a), "Free vibration analysis of nonlocal strain gradient beams made of functionally graded material", Int. J. Eng. Sci., 102, 77-92. https://doi.org/10.1016/j.ijengsci.2016.02.010
  14. Li, L., Hu, Y. and Ling, L. (2016b), "Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory", Physica E: Low-dimensional Syst. Nanostruct., 75, 118-124. https://doi.org/10.1016/j.physe.2015.09.028.
  15. Li, L. and Hu, Y. (2016), "Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory", Comput. Mater. Sci., 112, 282-288. https://doi.org/10.1016/j.commatsci.2015.10.044.
  16. 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.
  17. Mechab, I., Mechab, B., Benaissa, S., Serier, B. and Bouiadjra, B. B. (2016), "Free vibration analysis of FGM nanoplate with porosities resting on Winkler Pasternak elastic foundations based on two-variable refined plate theories", J. Braz. Soc. Mech. Sci. Eng., 38(8), 2193-2211. https://doi.org/10.1007/s40430-015-0482-6.
  18. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.S. (2020a). Analysis of nonlinear vibrations of CNT-/fiberglassreinforced multi-scale truncated conical shell segments", Mech. Based Des. Struct. Mach., 1-17. https://doi.org/10.1080/15397734.2020.1768866.
  19. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.S. (2020b). Nonlinear vibrations of variable thickness curved panels made of multi-scale epoxy/fiberglass/CNT material using Jacobi elliptic functions", Mech. Based Des. Struct. Mach., 1-17. https://doi.org/10.1080/15397734.2020.1777156.
  20. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020c), "Nonlinear forced vibrations of multi-scale epoxy/CNT/fiberglass truncated conical shells and annular plates via 3D Mori-Tanaka scheme", Steel Compos. Struct., 35(6), 765-777. https://doi.org/10.12989/scs.2020.35.6.765.
  21. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020d), "Investigating nonlinear forced vibration behavior of multi-phase nanocomposite annular sector plates using Jacobi elliptic functions", Steel Compos. Struct., 36(1), 87-101. https://doi.org/10.12989/scs.2020.36.1.087.
  22. Mirjavadi, S.S., Forsat, M., Badnava, S. and Barati, M.R. (2020e), "Analyzing nonlocal nonlinear vibrations of two-phase geometrically imperfect piezo-magnetic beams considering piezoelectric reinforcement scheme", J. Strain Anal. Eng. Des., 55(7-8), 258-270. https://doi.org/10.1177%2F0309324720917285. https://doi.org/10.1177%2F0309324720917285
  23. Mirjavadi, S.S., Khan, I., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020f), "Analyzing nonlinear vibration of metal foam stiffened toroidal convex/concave shell segments considering porosity distribution", Mech. Based Des. Struct. Mach., 1-17. https://doi.org/10.1080/15397734.2020.1841654.
  24. Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S. and Rabczuk, T. (2012), "Size-dependent free flexural vibration behavior of functionally graded nanoplates", Comput. Mater. Sci., 65, 74-80. https://doi.org/10.1016/j.commatsci.2012.06.031.
  25. Sayyad, A.S. and Ghugal, Y.M. (2018), "An inverse hyperbolic theory for FG beams resting on Winkler-Pasternak elastic foundation", Adv. Aircraft Spacecraft Sci., 5(6), 671-689. https://doi.org/10.12989/aas.2018.5.6.671.
  26. Shokravi, M. (2017), "Buckling analysis of embedded laminated plates with agglomerated CNT-reinforced composite layers using FSDT and DQM", Geomech. Eng., 12(2), 327-346. https://doi.org/10.12989/gae.2017.12.2.327.
  27. Singhal, A. and Chaudhary, S. (2019), "Mechanics of 2D Elastic Stress Waves Propagation Impacted by Concentrated Point Source Disturbance in Composite Material Bars", J. Appl. Comput. Mech., 10.22055/JACM.2019.29666.1621.
  28. Sobhy, M and Radwan, A.F. (2017), "A New Quasi 3D Nonlocal Plate Theory for Vibration and Buckling of FGM Nanoplates", Int. J. Appl. Mech., 9(01), 1750008. https://doi/abs/10.1142/S1758825117500089.
  29. Tounsi, A., Benguediab, S., Adda, B., Semmah, A. and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., 1(1), 1-11. https://doi.org/10.12989/anr.2013.1.1.001.
  30. Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002.
  31. Xiao, W., Li, L. and Wang, M. (2017), "Propagation of in-plane wave in viscoelastic monolayer graphene via nonlocal strain gradient theory", Appl. Phys. A, 123(6), 388. https://doi.org/10.1007/s00339-017-1007-1.
  32. Zenkour, A.M. and Abouelregal, A.E. (2015), "Thermoelastic interaction in functionally graded nanobeams subjected to timedependent heat flux", Steel Compos. Struct., 18(4), 909-924. https://doi.org/10.12989/scs.2015.18.4.909.
  33. Zhu, X. and Li, L. (2017), "Closed form solution for a nonlocal strain gradient rod in tension", Int. J. Eng. Sci., 119, 16-28. https://doi.org/10.1016/j.ijengsci.2017.06.019.
  34. Zine, A., et al. (2018), "A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells", Steel Compos. Struct., 26(2), 125-137. https://doi.org/10.12989/scs.2018.26.2.125.