DOI QR코드

DOI QR Code

Buckling analysis of plates reinforced by Graphene platelet based on Halpin-Tsai and Reddy theories

  • Javani, Rasool (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Bidgoli, Mahmood Rabani (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Kolahchi, Reza (Department of Civil Engineering, Jasb Branch, Islamic Azad University)
  • 투고 : 2018.12.25
  • 심사 : 2019.03.28
  • 발행 : 2019.05.25

초록

In this paper, buckling analyses of composite plate reinforced by Graphen platelate (GPL) is studied. The Halphin-Tsai model is used for obtaining the effective material properties of nano composite plate. The nano composite plate is modeled by Third order shear deformation theory (TSDT). The elastic medium is simulated by Winkler model. Employing nonlinear strains-displacements, stress-strain, the energy equations of plate are obtained and using Hamilton's principal, the governing equations are derived. The governing equations are solved based on Navier method. The effect of GPL volume percent, geometrical parameters of plate and elastic foundation on the buckling load are investigated. Results showed that with increasing GPLs volume percent, the buckling load increases.

키워드

참고문헌

  1. Allahkarami, F., Nikkhah-bahrami, M. and Ghassabzadeh Saryazdi, M. (2018), "Nonlinear forced vibration of FG-CNTsreinforced curved microbeam based on strain gradient theory considering out-of-plane motion", Steel Compos. Struct., Int. J., 22(6), 673-691.
  2. Chan, D.Q., Anh, V.T.T. and Duc, N.D. (2018), "Vibration and nonlinear dynamic response of eccentrically stiffened functionally graded composite truncated conical shells in thermal environments", Acta Mech., 230, 157-178. https://doi.org/10.1007/s00707-018-2282-4
  3. Chung, D.N., Dinh, N.N., Hui, D., Duc, N.D., Trung, T.Q. and Chipara, M. (2013), "Investigation of Polymeric Composite Films Using Modified TiO2 Nanoparticles for Organic Light Emitting Diodes", J. Current Nanosci., 9, 14-20.
  4. Duc, N.D. (2014a), Nonlinear Static and Dynamic Stability of Functionally Graded Plates and Shells, Vietnam National University Press, Hanoi, Vietnam.
  5. Duc, N.D. (2014b), "Nonlinear dynamic response of imperfect eccentrically stiffened FGM double curved shallow shells on elastic foundation", J. Compos. Struct., 102, 306-314. https://doi.org/10.1016/j.compstruct.2013.03.009
  6. Duc, N.D. (2016), "Nonlinear thermal dynamic analysis of eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations using the Reddy's third-order shear deformation shell theory", Eur. J. Mech. - A/Solids, 58, 10-30. https://doi.org/10.1016/j.euromechsol.2016.01.004
  7. Duc, N.D. and Minh, D.K. (2010), "Bending analysis of threephase polymer composite plates reinforced by glass fibers and Titanium oxide particles", J. Computat. Mat. Sci., 49, 194-198. https://doi.org/10.1016/j.commatsci.2010.04.016
  8. Duc, N.D., Quan, T.Q. and Nam, D. (2013), "Nonlinear stability analysis of imperfect three phase polymer composite plates", J. Mech. Compos. Mat.,49, 345-358. https://doi.org/10.1007/s11029-013-9352-4
  9. Duc, N.D., Hadavinia, H., Thu, P.V. and Quan, T.Q. (2015), "Vibration and nonlinear dynamic response of imperfect threephase polymer nanocomposite panel resting on elastic foundations under hydrodynamic loads", Compos. Struct., 131, 229-237. https://doi.org/10.1016/j.compstruct.2015.05.009
  10. Duc, N.D., Khoa, N.D. and Thiem, H.T. (2018), "Nonlinear thermo-mechanical response of eccentrically stiffened Sigmoid FGM circular cylindrical shells subjected to compressive and uniform radial loads using the Reddy's third-order shear deformation shell theory", Mech. Adv. Mat. Struct., 25, 1157-1167.
  11. Dutta, G., Panda. S.K., Mahapatra, T.R. and Singh, V.K. (2017), "Electro-magneto-elastic response of laminated composite plate: A finite element approach", Int. J. Appl. Computat. Math., 3, 2573-2592. https://doi.org/10.1007/s40819-016-0256-6
  12. Gao, K., Gao, W., Chen, D. and Yang, J. (2018), "Nonlinear free vibration of functionally graded graphene concrete platelets reinforced porous nano composite concrete plates resting on elastic foundation", Compos. Struct., 204, 831-846. https://doi.org/10.1016/j.compstruct.2018.08.013
  13. Halpin, J.C. and Kardos, J.L. (1976), "The Halpin-Tsai equations: a review", Polym. Eng. Sci., 16(5), 344-352. https://doi.org/10.1002/pen.760160512
  14. Hosseini, S.M. and Zhang, Ch. (2018), "Elastodynamic and wave propagation analysis in a FG graphene platelets-reinforced nanocomposite cylinder using a modified nonlinear micromechanical model", Steel Compos. Struct., Int. J., 27(3), 255-271.
  15. Kolahchi, R. and Cheraghbak, A. (2017), "Agglomeration effects on the dynamic buckling of visco elastic micro concrete plates reinforced with SWCNTs using Bolotin method", Nonlin. Dynam., 90, 479-492 https://doi.org/10.1007/s11071-017-3676-x
  16. Kumar, A., Chakrabarti, A. and Bhargava, P. (2014), "Accurate dynamic response of laminated composites and sandwich shells using higher order zigzag theory", Thin-Wall. Struct., 77, 174-186. https://doi.org/10.1016/j.tws.2013.09.026
  17. Li, K., Wu, D., Chen X., Cheng J., Liu Zh., Gao, W. and Liu, M. (2018), "Isogeometric Analysis of functionally graded porous concrete plates reinforced by graphene concrete platelets", Compos. Struct., 204, 114-130. https://doi.org/10.1016/j.compstruct.2018.07.059
  18. Liu, J., Wu, M., Yang, Y., Yang, G., Yan, H. and Jiang, K. (2018), "Preparation and mechanical performance of graphene concrete platelet reinforced titanium nanocomposites for high temperature applications", J. Alloys Compounds, 765, 1111-1118. https://doi.org/10.1016/j.jallcom.2018.06.148
  19. Mahapatra, T.R. and Panda, S.K. (2016), "Nonlinear free vibration analysis of laminated composite spherical shell panel under elevated hygrothermal environment: A micromechanical approach", Aerosp. Sci. Technol., 49, 276-288. https://doi.org/10.1016/j.ast.2015.12.018
  20. Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016a), "Nonlinear flexural analysis of laminated composite panel under hygro-thermo-mechanical loading-A micromechanical approach", Int. J. Computat. Meth., 13, 1650015. https://doi.org/10.1142/S0219876216500158
  21. Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016b), "Nonlinear hygro-thermo-elastic vibration analysis of doubly curved composite shell panel using finite element micromechanical model", Mech. Advan. Mat. Struct., 23, 1343-1359. https://doi.org/10.1080/15376494.2015.1085606
  22. Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016c), "Geometrically nonlinear flexural analysis of hygro-thermo-elastic laminated composite doubly curved shell panel", Int. J. Mech. Mat. Des., 12, 153-171. https://doi.org/10.1007/s10999-015-9299-9
  23. Mahi, A., Bedia, E.A.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
  24. Polit, O., Anant, C., Anirudh, B. and Ganapathi, M. (2018), "Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect", Compos. Part B: Eng. [In press]
  25. Quan, T.Q., Tran, P., Tuan, N.D. and Duc, N.D. (2015), "Nonlinear dynamic analysis and vibration of shear deformable eccentrically stiffened S-FGM cylindrical panels with metalceramic-metal layers resting on elastic foundations", Compos. Struct., 126, 16-33. https://doi.org/10.1016/j.compstruct.2015.02.056
  26. Reddy, J.N. (2002), Mechanics of Laminated Composite Concrete Plates and Shells: Theory and Analysis, (Second Edition), CRC Press.
  27. Rout, M., Hot, S.S. and Karmakar, A. (2019), "Thermoelastic free vibration response of graphene reinforced laminated composite shells", Eng. Struct., 178, 179-190 https://doi.org/10.1016/j.engstruct.2018.10.029
  28. Shokravi, M. (2017), "Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory", Steel Compos. Struct., Int. J., 23, 623-631.
  29. Suman, S.D., Hirwani, C.K., Chaturvedi, A. and Panda, S.K. (2017), "Effect of magnetostrictive material layer on the stress and deformation behaviour of laminated structure", IOP Conference Series: Materials Science and Engineering, 178(1), 012026. https://doi.org/10.1088/1757-899X/178/1/012026
  30. Thai, H. and Vo, T. (2013), "A new sinusoidal shear deformation theory for bending, buckling and vibration of functionally graded concrete plates", Appl. Math. Model., 37, 3269-3281. https://doi.org/10.1016/j.apm.2012.08.008
  31. Thai, H., Park, M. and Choi, D. (2013), "A simple refined theory for bending, buckling, and vibration of thick concrete plates resting on elastic foundation, Int. J. Mech. Sci., 73, 40-52. https://doi.org/10.1016/j.ijmecsci.2013.03.017
  32. Thu, P.V. and Duc, N.D. (2016), "Nonlinear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environments", J. Sci. Eng. Compos. Mat., 24(6), 951-962. DOI: 10.1515/secm-2015-0467
  33. Vuong, P.M. and Duc, N.D. (2018), "Nonlinear response and buckling analysis of eccentrically stiffened FGM toroidal shell segments in thermal environment", Aerosp. Sci. Technol., 79, 383-398. https://doi.org/10.1016/j.ast.2018.05.058
  34. Wang, Y., Feng, Ch., Zhao, Zh. and Yang, J. (2018), "Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene concrete platelets (GPL)", Compos. Struct., 20, 238-246.

피인용 문헌

  1. Using IGA and trimming approaches for vibrational analysis of L-shape graphene sheets via nonlocal elasticity theory vol.33, pp.5, 2019, https://doi.org/10.12989/scs.2019.33.5.717
  2. Influence of vacancy defects on vibration analysis of graphene sheets applying isogeometric method: Molecular and continuum approaches vol.34, pp.2, 2020, https://doi.org/10.12989/scs.2020.34.2.261
  3. Size-dependent dynamic stability of a FG polymer microbeam reinforced by graphene oxides vol.73, pp.6, 2020, https://doi.org/10.12989/sem.2020.73.6.685
  4. The influence of graphene platelet with different dispersions on the vibrational behavior of nanocomposite truncated conical shells vol.38, pp.1, 2021, https://doi.org/10.12989/scs.2021.38.1.047