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Post-buckling analysis of geometrically imperfect tapered curved micro-panels made of graphene oxide powder reinforced composite

  • Received : 2020.03.25
  • Accepted : 2020.06.09
  • Published : 2020.07.10
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Abstract

The present research investigates post-buckling behavior of geometrically imperfect tapered curved micro-panels made of graphene oxide powder (GOP) reinforced composite. Micro-scale effects on the panel structure have been included based on strain gradient elasticity. Micro-panel is considered to be tapered based on thickness variation along longitudinal direction. Weight fractions of uniformly and linearly distributed GOPs are included in material properties based on Halpin-Tsai homogenization scheme considering. Post-buckling curves have been determined based on both perfect and imperfect micro-panel assumptions. It is found that post-buckling curves are varying with the changes of GOPs weight fraction, geometric imperfection, GOP distribution type, variable thickness parameters, panel curvature radius and strain gradient.

Keywords

과제정보

The first and second authors would like to thank FPQ (Fidar project Qaem) for providing the fruitful and useful help.

참고문헌

  1. Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., 25(6), 693-704. https://doi.org/10.12989/scs.2017.25.6.693.
  2. Abdulrazzaq, M.A., Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020), "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory", Steel Compos. Struct., 35(1), 147-157. https://doi.org/10.12989/scs.2020.35.1.147.
  3. Abdulrazzaq, M.A., Kadhim, Z.D., Faleh, N.M. and Moustafa, N. M. (2020), "A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads", Struct. Monit. Maint., 7(1), 27-42. https://doi.org/10.12989/smm.2020.7.1.027.
  4. 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, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
  5. Addou, F.Y., Meradjah, M., Bousahla, A.A., Benachour, A., Bourada, F., Tounsi, A. and Mahmoud, S.R. (2019), "Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT", Comput. Concrete, 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347.
  6. 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.
  7. Ahmed, R.A., Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020), "A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams", Adv. Mater. Res., 9(1), 33-48. https://doi.org/10.12989/amr.2020.9.1.033.
  8. Ahmed, R.A., Al-Maliki, A.F. and Faleh, N.M. (2020), "Dynamic characteristics of multi-phase crystalline porous shells with using strain gradient elasticity", Adv. Nano Res., 8(2), 157-167. https://doi.org/10.12989/anr.2020.8.2.157.
  9. Alasadi, A.A., Ahmed, R.A. and Faleh, N.M. (2019), "Analyzing nonlinear vibrations of metal foam nanobeams with symmetric and non-symmetric porosities", Adv. Aircraft Spacecraft Sci., 6(4), 273-282. https://doi.org/10.12989/aas.2019.6.4.273.
  10. 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.e, 6(2), 147-159. https:// doi.org/10.12989/smm.2019.6.2.147.
  11. Al-Maliki, A.F., Ahmed, R.A., Moustafa, N.M. and Faleh, N.M. (2020), "Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams", Adv. Comput. Design, 5(2), 177-193. https://doi.org/10.12989/acd.2020.5.2.177.
  12. Ali Faghidian, S. (2017), Unified formulations of the shear coefficients in Timoshenko beam theory", J. Eng. Mech., 143(9), 06017013. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001297
  13. Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2017), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys.A, 123(1), 104. https://doi.org/10.1007/s00339-016-0712-5.
  14. Bakhadda, B., Bouiadjra, M.B., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., 27(5), 311-324. https://doi.org/10.12989/was.2018.27.5.311.
  15. Barati, M.R. and Zenkour, A.M. (2017), "Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection", Compos. Struct., 181, 194-202. https://doi.org/10.1016/j.compstruct.2017.08.082.
  16. 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.
  17. 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, 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579.
  18. Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., 33(5), 699. https://doi.org/10.12989/scs.2019.33.5.699.
  19. Barretta, R., Faghidian, S.A., Luciano, R., Medaglia, C.M. and Penna, R. (2018), "Free vibrations of FG elastic Timoshenko nano-beams by strain gradient and stress-driven nonlocal models", Compos. Part B: Eng., 154, 20-32. https://doi.org/10.1016/j.compositesb.2018.07.036.
  20. Belbachir, N., Draich, K., Bousahla, A.A., Bourada, M., Tounsi, A. and Mohammadimehr, M. (2019), "Bending analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings", Steel Compos. Struct., 33(1), 81-92. https://doi.org/10.12989/scs.2019.33.1.081.
  21. 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., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.
  22. Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516. https://doi.org/10.12989/scs.2019.31.5.503.
  23. Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161.
  24. 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., 7(3), 191. https://doi.org/10.12989/anr.2019.7.3.191.
  25. Chikh, A., Bakora, A., Heireche, H., Houari, M.S.A., Tounsi, A. and Bedia, E. . (2016), "Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory", Struct. Eng. Mech., 57(4), 617-639. https://doi.org/10.12989/sem.2016.57.4.617.
  26. Ebrahimi, F. and Dabbagh, A. (2019), "Vibration analysis of multi-scale 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., Nouraei, M. and Dabbagh, A. (2019), "Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-019-00737-w.
  28. Faghidian, S.A., Goudar, D., Farrahi, G.H. and Smith, D.J. (2012), "Measurement, analysis and reconstruction of residual stresses", J. Strain Anal. Eng.Design, 47(4), 254-264. https://doi.org/10.1177/0309324712441146
  29. Faghidian, S.A. (2016), "Unified formulation of the stress field of saint-Venant's flexure problem for symmetric cross-sections", Int. J. Mech. Sci., 111, 65-72. https://doi.org/10.1016/j.ijmecsci.2016.04.003
  30. Faleh, N.M., Fenjan, R.M. and Ahmed, R.A. (2018), "Dynamic analysis of graded small-scale shells with porosity distributions under transverse dynamic loads", Eur. Phys. J. Plus, 133(9), 348. https://doi.org/10.1140/epjp/i2018-12152-5.
  31. Faleh, N.M., Fenjan, R.M. and Ahmed, R.A. (2020), "Forced vibrations of multi-phase crystalline porous shells based on strain gradient elasticity and pulse load effects", J. Vib. Eng. Technol., 1-9. https://doi.org/10.1007/s42417-020-00203-8.
  32. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled 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.
  33. Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2019), "Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory", Adv. Aircraft Spacecraft Sci., 6(4), 297-314. https://doi.org/10.12989/aas.2019.6.4.297.
  34. Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020), "Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects", Adv. Aircraft Spacecraft Sci., 7(2), 169-186. https://doi.org/10.12989/aas.2020.7.2.169.
  35. Farrahi, G.H., Faghidian, S.A. and Smith, D.J. (2009), "An inverse approach to determination of residual stresses induced by shot peening in round bars", Int. J. Mech. Sci., 51(9-10), 726-731. https://doi.org/10.1016/j.ijmecsci.2009.08.004
  36. Feng, Q. and Meng, F. (2017), "Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method", Math. Method. Appl. Sci., 40(10), 3676-3686. https://doi.org/10.1002/mma.4254.
  37. Hamad, L.B., Khalaf, B.S. and Faleh, N.M. (2019), "Analysis of static and dynamic characteristics of strain gradient shell structures made of porous nano-crystalline materials", Adv. Mater. Res., 8(3), 179-196. https://doi.org/10.12989/amr.2019.8.3.179.
  38. Houari, T., Bessaim, A., Houari, M.S.A., Benguediab, M. and Tounsi, A. (2018), "Bending analysis of advanced composite plates using a new quasi 3D plate theory", Steel Compos. Struct., 26(5), 557-572. https://doi.org/10.12989/scs.2018.26.5.557.
  39. Khalaf, B.S., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing nonlinear mechanical-thermal buckling of imperfect micro-scale beam made of graded graphene reinforced composites", Adv. Mater. Res., 8(3), 219. https://doi.org/10.12989/amr.2019.8.3.219.
  40. Kunbar, L.A.H., Alkadhimi, B.M., Radhi, H.S. and Faleh, N.M. (2019), "Flexoelectric effects on dynamic response characteristics of nonlocal piezoelectric material beam", Adv. Mater. Res., 8(4), 259-274. https://doi.org/10.12989/amr.2019.8.4.259.
  41. Li, X., Li, L., Hu, Y., Ding, Z. and Deng, W. (2017), "Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory", Compos. Struct., 165, 250-265. https://doi.org/10.1016/j.compstruct.2017.01.032.
  42. Marami, G., Nazari, S.A., Faghidian, S.A., Vakili-Tahami, F. and Etemadi, S. (2016), "Improving the mechanical behavior of the adhesively bonded joints using RGO additive", Int. J. Adhesion Adhesives, 70, 277-286. https://doi.org/10.1016/j.ijadhadh.2016.07.014
  43. Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M. and Kazemi, M. (2017). On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment", Appl. Phys. A, 123(5), 315. https://doi.org/10.1007/s00339-017-0918-1.
  44. Mirjavadi, S.S., Matin, A., Shafiei, N., Rabby, S. and Mohasel Afshari, B. (2017), "Thermal buckling behavior of two-dimensional imperfect functionally graded microscale-tapered porous beam", J. Therm. Stresses, 40(10), 1201-1214. https://doi.org/10.1080/01495739.2017.1332962.
  45. Mirjavadi, S.S., Afshari, B.M., Khezel, M., Shafiei, N., Rabby, S. and Kordnejad, M. (2018), "Nonlinear vibration and buckling of functionally graded porous nanoscaled beams", J. Brazilian Soc. Mech. Sci. Eng., 40(7), 352. https://doi.org/10.1007/s40430-018-1272-8.
  46. Mirjavadi, S.S., Mohasel Afshari, B., Shafiei, N., Rabby, S. and Kazemi, M. (2018), "Effect of temperature and porosity on the vibration behavior of two-dimensional functionally graded micro-scale Timoshenko beam", J. Vib. Control, 24(18), 4211-4225. https://doi.org/10.1177%2F1077546317721871. https://doi.org/10.1177/1077546317721871
  47. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M. S. (2018), "Strain gradient based dynamic response analysis of heterogeneous cylindrical microshells with porosities under a moving load", Mater. Res. Express, 6(3), 035029. https://doi.org/10.1088/2053-1591/aaf5a2.
  48. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M. S. (2019), "Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection", Microsyst. Technologies, 25(8), 3137-3150. https://doi.org/10.1007/s00542-018-4277-4.
  49. Mirjavadi, S.S., Afshari, B.M., Barati, M.R. and Hamouda, A.M.S. (2019), "Transient response of porous inhomogeneous nanobeams due to various impulsive loads based on nonlocal strain gradient elasticity", Int. J. Mech. Mater. Design, 1-12. https://doi.org/10.1007/s10999-019-09452-2.
  50. Mirjavadi, S.S., Forsat, M., Nikookar, M., Barati, M.R. and Hamouda, A.M.S. (2019), "Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets", Eur. Phys. J. Plus, 134(10), 508. https://doi.org/10.1140/epjp/i2019-12806-8.
  51. Mirjavadi, S.S., Forsat, M., Barati, M.R., Abdella, G.M., Afshari, B.M., Hamouda, A.M.S. .and Rabby, S. (2019), "Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency", Eur. Phys. J. Plus, 134(5), 214. https://doi.org/10.1140/epjp/i2019-12540-3.
  52. 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.
  53. Muhammad, A.K., Hamad, L.B., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment", Adv. Mater, Res,, 8(3), 237-257. https://doi.org/10.12989/amr.2019.8.3.237.
  54. Nguyen, D.D., Kim, S.E., Vu, T.A.T. and Vu, A.M. (2020), "Vibration and nonlinear dynamic analysis of variable thickness sandwich laminated composite panel in thermal environment", J. Sandw. Struct. Mater., 1099636219899402. https://doi.org/10.1177%2F1099636219899402.
  55. Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., 7(2), 89. https://doi.org/10.12989/anr.2019.7.2.089.
  56. Thanh, C.L., Tran, L.V., Vu-Huu, T. and Abdel-Wahab, M. (2019), "The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis", Comput. Method. Appl. Mech. Eng., 350, 337-361. https://doi.org/10.1016/j.cma.2019.02.028.
  57. Thang, P.T., Duc, N.D. and Nguyen-Thoi, T. (2016), "Effects of variable thickness and imperfection on nonlinear buckling of sigmoid-functionally graded cylindrical panels", Compos. Struct., 155, 99-106. https://doi.org/10.1016/j.compstruct.2016.08.007.
  58. Tlidji, Y., Zidour, M., Draiche, K., Safa, A., Bourada, M., Tounsi, A. and Mahmoud, S.R. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.
  59. Vo, T.P., Thai, H.T., Nguyen, T.K., Lanc, D. and Karamanli, A. (2017), "Flexural analysis of laminated composite and sandwich beams using a four-unknown shear and normal deformation theory", Compos. Struct., 176, 388-397. https://doi.org/10.1016/j.compstruct.2017.05.041
  60. Wu, H., Kitipornchai, S. and Yang, J. (2017), "Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates", Mater. Design, 132, 430-441. https://doi.org/10.1016/j.matdes.2017.07.025.
  61. Zarga, D., Tounsi, A., Bousahla, A.A., Bourada, F. and Mahmoud, S.R. (2019), "Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory", Steel Compos. Struct., 32(3), 389-410. https://doi.org/10.12989/scs.2019.32.3.389.
  62. Zaoui, F.Z., Ouinas, D. and Tounsi, A. (2019), "New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations", Compos. Part B: Eng., 159, 231-247. https://doi.org/10.1016/j.compositesb.2018.09.051.
  63. Zhang, B., He, Y., Liu, D., Shen, L. and Lei, J. (2015), "An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation", Appl. Math. Model., 39(13), 3814-3845. https://doi.org/10.1016/j.apm.2014.12.001
  64. Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2020), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory", Mech. Adv. Mater. Struct., 27(1), 3-11. https://doi.org/10.1080/15376494.2018.1444216.
  65. Zhao, Z., Feng, C., Wang, Y. and Yang, J. (2017), "Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)", Compos. Struct., 180, 799-808. https://doi.org/10.1016/j.compstruct.2017.08.044.

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