DOI QR코드

DOI QR Code

Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections

  • Ahmed, Ridha A. (Al-Mustansiriyah University, Engineering College) ;
  • Fenjan, Raad M. (Al-Mustansiriyah University, Engineering College) ;
  • Faleh, Nadhim M. (Al-Mustansiriyah University, Engineering College)
  • Received : 2018.10.20
  • Accepted : 2019.01.09
  • Published : 2019.02.10

Abstract

This research is concerned with post-buckling investigation of nano-scaled beams constructed from porous functionally graded (FG) materials taking into account geometrical imperfection shape. Hence, two types of nanobeams which are perfect and imperfect have been studied. Porous FG materials are classified based on even or uneven porosity distributions. A higher order nonlinear refined beam theory is used in the present research. Both perfect and imperfect nanobeams are formulated based on this refined theory. A detailed study is provided to understand the effects of geometric imperfection, pore distribution, material distribution and small scale effects on buckling of FG nanobeams.

Keywords

References

  1. Atmane, H.A., Tounsi, A., Bernard, 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
  2. Barati, M.R and Zenkour, A.M. (2018a), "Analysis of postbuckling behavior of general higher-order functionally graded nanoplates with geometrical imperfection considering porosity distributions", Mech. Adv. Mater. Struct., 1-8.
  3. Barati, M.R and Zenkour, A.M. (2018b), "Post-buckling analysis of imperfect multi-phase nanocrystalline nanobeams considering nanograins and nanopores surface effects", Compos. Struct., 184, 497-505. https://doi.org/10.1016/j.compstruct.2017.10.019
  4. Barati, M.R. (2017), "Nonlocal microstructure-dependent dynamic stability of refined porous FG nanoplates in hygro-thermal environments", Eur. Phys. J. Plus, 132(10), 434. https://doi.org/10.1140/epjp/i2017-11686-2
  5. Barati, M.R., Shahverdi, H. and Zenkour, A.M. (2017), "Electromechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory", Mech. Adv. Mater. Struct., 24(12), 987-998. https://doi.org/10.1080/15376494.2016.1196799
  6. Barati, M.R., Zenkour, A.M. and Shahverdi, H. (2016), "Thermomechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory", Compos. Struct., 141, 203-212. https://doi.org/10.1016/j.compstruct.2016.01.056
  7. Belkorissat, I., Houari, M.S.A., Tounsi, A., Bedia, E.A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. https://doi.org/10.12989/scs.2015.18.4.1063
  8. Berrabah, H.M., Tounsi, A., Semmah, A. and Adda, B. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., 48(3), 351-365. https://doi.org/10.12989/sem.2013.48.3.351
  9. Bouderba, B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2016), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422. https://doi.org/10.12989/sem.2016.58.3.397
  10. 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
  11. Ebrahimi, F. and Barati, M.R. (2018), "Stability analysis of porous multi-phase nanocrystalline nonlocal beams based on a general higher-order couple-stress beam model", Struct. Eng. Mech., 65(4), 465-476. https://doi.org/10.12989/SEM.2018.65.4.465
  12. Ebrahimi, F. and Barati, M.R. (2017), "Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory", Compos. Struct., 159, 433-444. https://doi.org/10.1016/j.compstruct.2016.09.092
  13. Emam, S.A. (2009), "A static and dynamic analysis of the postbuckling of geometrically imperfect composite beams. Compos. Struct., 90(2), 247-253. https://doi.org/10.1016/j.compstruct.2009.03.020
  14. 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
  15. Hadji, L., Daouadji, T.H and Bedia, E.A. (2015), "A refined exponential shear deformation theory for free vibration of FGM beam with porosities", Geomech. Eng., 9(3), 361-372. https://doi.org/10.12989/gae.2015.9.3.361
  16. Li, L and Hu, Y. (2017), "Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects", Int. J. Mech. Sci., 120, 159-170. https://doi.org/10.1016/j.ijmecsci.2016.11.025
  17. Li, L., Li, X and Hu, Y. (2016), "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
  18. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019), "Transient response of porous FG nanoplates subjected to various pulse loads based on nonlocal stress-strain gradient theory", Eur. J. Mech. A Solids, 74, 210-220. https://doi.org/10.1016/j.euromechsol.2018.11.004
  19. 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
  20. Yahia, S.A., Atmane, H.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143
  21. Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: An assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. https://doi.org/10.12989/sem.2015.54.4.693
  22. Zhang, L.L., Liu, J.X., Fang, X.Q and Nie, G.Q. (2014), "Effects of surface piezoelectricity and nonlocal scale on wave propagation in piezoelectric nanoplates", Eur. J. Mech. A Solids, 46, 22-29. https://doi.org/10.1016/j.euromechsol.2014.01.005

Cited by

  1. A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads vol.7, pp.1, 2020, https://doi.org/10.12989/smm.2020.7.1.027
  2. Effect of the rotation on the thermal stress wave propagation in non-homogeneous viscoelastic body vol.21, pp.1, 2019, https://doi.org/10.12989/gae.2020.21.1.001
  3. Analysis of post-buckling of higher-order graphene oxide reinforced concrete plates with geometrical imperfection vol.9, pp.4, 2019, https://doi.org/10.12989/acc.2020.9.4.397
  4. Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams vol.5, pp.2, 2019, https://doi.org/10.12989/acd.2020.5.2.177
  5. Finite element based post-buckling analysis of refined graphene oxide reinforced concrete beams with geometrical imperfection vol.25, pp.4, 2020, https://doi.org/10.12989/cac.2020.25.4.283
  6. Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method vol.76, pp.3, 2019, https://doi.org/10.12989/sem.2020.76.3.413
  7. Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory vol.26, pp.5, 2020, https://doi.org/10.12989/cac.2020.26.5.439
  8. A mechanical model to investigate Aedesaegypti mosquito bite using new techniques and its applications vol.11, pp.6, 2019, https://doi.org/10.12989/mwt.2020.11.6.399
  9. Forced vibration of a functionally graded porous beam resting on viscoelastic foundation vol.24, pp.1, 2019, https://doi.org/10.12989/gae.2021.24.1.091
  10. Influences of porosity distributions and boundary conditions on mechanical bending response of functionally graded plates resting on Pasternak foundation vol.38, pp.1, 2019, https://doi.org/10.12989/scs.2021.38.1.001
  11. Buckling analysis of functionally graded plates using HSDT in conjunction with the stress function method vol.27, pp.1, 2019, https://doi.org/10.12989/cac.2021.27.1.073
  12. Dynamic stability analysis of a rotary GPLRC disk surrounded by viscoelastic foundation vol.24, pp.3, 2019, https://doi.org/10.12989/gae.2021.24.3.267
  13. Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position vol.39, pp.1, 2021, https://doi.org/10.12989/scs.2021.39.1.051
  14. Investigation on the dynamic response of porous FGM beams resting on variable foundation using a new higher order shear deformation theory vol.39, pp.1, 2019, https://doi.org/10.12989/scs.2021.39.1.095
  15. An analytical solution for equations and the dynamical behavior of the orthotropic elastic material vol.11, pp.4, 2021, https://doi.org/10.12989/acc.2021.11.4.315
  16. Influence of micromechanical models on the bending response of bidirectional FG beams under linear, uniform, exponential and sinusoidal distributed loading vol.39, pp.2, 2021, https://doi.org/10.12989/scs.2021.39.2.215
  17. Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam vol.78, pp.2, 2021, https://doi.org/10.12989/sem.2021.78.2.117
  18. Thermoelastic response of functionally graded sandwich plates using a simple integral HSDT vol.91, pp.7, 2019, https://doi.org/10.1007/s00419-021-01973-7
  19. Analyzing dynamic response of nonlocal strain gradient porous beams under moving load and thermal environment vol.26, pp.1, 2019, https://doi.org/10.12989/gae.2021.26.1.089
  20. Investigating dynamic response of nonlocal functionally graded porous piezoelectric plates in thermal environment vol.40, pp.2, 2021, https://doi.org/10.12989/scs.2021.40.2.243
  21. Mechanical and thermal buckling analysis of laminated composite plates vol.40, pp.5, 2019, https://doi.org/10.12989/scs.2021.40.5.697