Geomechanics and Engineering

  • 제31권3호
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  • Pages.329-337
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  • 2022
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Thermal post-buckling analysis of porous functionally graded pipes with initial geometric imperfection

  • Xu, Jia-Qin (College of Mechanical and Vehicle Engineering, Chongqing University) ;
  • She, Gui-Lin (College of Mechanical and Vehicle Engineering, Chongqing University)
  • 투고 : 2022.04.15
  • 심사 : 2022.11.08
  • 발행 : 2022.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the thermal post-buckling characteristics of functionally graded (FG) pipes with initial geometric imperfection are studied. Considering the influence of initial geometric defects, temperature and geometric nonlinearity, Euler-Lagrange principle is used to derive the nonlinear governing equations of the FG pipes. Considering three different boundary conditions, the two-step perturbation method is used to solve the nonlinear governing equations, and the expressions of thermal post-buckling responses are also obtained. Finally, the correctness of this paper is verified by numerical analyses, and the effects of initial geometric defects, functional graded index, elastic foundation, porosity, thickness of pipe and boundary conditions on thermal post-buckling response are analyzed. It is found that, bifurcation buckling exists for the pipes without initial geometric imperfection. In contrast, there is no bifurcation buckling phenomenon for the pipes with initial geometric imperfection. Meanwhile, the elastic stiffness can significantly improve thermal post-buckling load and thermal post-buckling strength. The larger the porosity, the greater the thermal buckling load and the thermal buckling strength.

키워드

과제정보

This work is supported by the talent introduction project of Chongqing University (02090011044159), and Fundamental Research Funds for the Central Universities (2022CDJXY-005), and the project of new technology and equipment of intelligent manufacturing (02090025020040).

참고문헌

  1. Alnujaie, A., Akba, E.D., Eltaher, M. and Assie, A. (2021). "Forced vibration of a functionally graded porous beam resting on viscoelastic foundation", Geomech. Eng., 24(1). http://doi.org/10.12989/gae.2021.24.1.091.
  2. Akba, E.D., Bashiri, A.H., Assie, A.E. and Eltaher, M.A. (2021), "Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support", J. Vib. Control, 27(13-14), 1644-1655. http://doi.org/10.1177/1077546320947302.
  3. Akgoz, B. and Civalek, O. (2017), "Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams", Compos. Part B: Eng., 129, 77-87. https://doi.org/10.1016/j.compositesb.2017.07.024.
  4. Amar, L.H.H., Kaci, A., Yeghnem, R. and Tounsi, A. (2018), "A new four-unknown refined theory based on modified couplestress theory for size-dependent bending and vibration analysis of functionally graded micro-plate", Steel Compos. Struct., 26(1), 89-102. https://doi.org/10.12989/scs.2018.26.1.089.
  5. Asiri, S.A., Akba, E.D. and Eltaher, M. (2020), "Damped dynamic responses of a layered functionally graded thick beam under a pulse load", Struct. Eng. Mech., 75(6), 713-722. http://doi.org/ 10.12989/sem.2020.75.6.713.
  6. Attia, M.A. and Mohamed, S.A. (2020a), "Thermal vibration characteristics of pre/post-buckled bi-directional functionally graded tapered microbeams based on modified couple stress Reddy beam theory", Eng. Comput., https://doi.org/10.1007/s00366-020-01188-4.
  7. Attia, M.A. and Mohamed, S.A. (2020b), "Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on Reddy beam theory", Eng. Comput., https://doi.org/10.1007/s00366-020-01080-1.
  8. Babaei, H. (2021a), "Thermoelastic buckling and post-buckling behavior of temperature-dependent nanocomposite pipes reinforced with CNTs", Eur. Phys. J. Plus, 136(10). http://doi.org/10.1140/epjp/s13360-021-01992-x.
  9. Babaei, H.(2021b), "Large deflection analysis of fg-cnt reinforced composite pipes under thermal-mechanical coupling loading", Structures, 34, 886-900. http://doi.org/10.1016/j.istruc.2021.07.091.
  10. Babaei, H. (2021c), "Nonlinear analysis of size-dependent frequencies in porous fg curved nanotubes based on nonlocal strain gradient theory", Eng. With Comput., http://doi.org/10.1007/s00366-021-01317-7.
  11. Babaei, H. and Eslami, M. (2021a). "Nonlinear analysis of thermal-mechanical coupling bending of clamped fg porous curved micro-tubes", J. Therm. Stresses, 1-24. http://doi.org/10.1080/01495739.2020.1870417.
  12. Babaei, H. and Eslami, M. (2021b), "Thermally induced nonlinear stability and imperfection sensitivity of temperature- and size-dependent fg porous micro-tubes", Int. J. Mech. Mater. Design, 1-21. http://doi.org/10.1007/s10999-021-09531-3.
  13. Dehrouyeh-Semnani, A.M., Dehdashti, E., Yazdi, M. and Nikkhah-Bahrami, M. (2019), "Nonlinear thermo-resonant behavior of fluid-conveying FG pipes", Int. J. Eng. Sci., 144, 103141. https://doi.org/10.1016/j.ijengsci.2019.103141.
  14. Ding, H.X. and She, G.L. (2021), "A higher-order beam model for the snap-buckling analysis of FG pipes conveying fluid", Struct. Eng. Mech., 80(1), 63-72. https://doi.org/10.12989/sem.2021.80.1.063.
  15. Ebrahimi, F. and Farazmandnia, N. (2018), "Vibration analysis of functionally graded carbon nanotube-reinforced composite sandwich beams in thermal environment", Adv. Aircraft Sp. Sci., 5(1), 107-128. https://doi.org/10.12989/aas.2018.5.1.107.
  16. Emam, S. (2016), "Buckling and postbuckling of composite beams in hygrothermal environments", Compos. Struct., 152, 665-675. http://doi.org/10.1016/j.compstruct.2016.05.029.
  17. Fu, Y., Zhong, J., Shao, X. and Chen, Y. (2015), "Thermal postbuckling analysis of functionally graded tubes based on a refined beam model", Int. J. Mech. Sci., 96, 58-64. http://doi.org/10.1016/j.ijmecsci.2015.03.019.
  18. Ghandourah, E.E., Eltaher, M.A., Ahmed, H.M., Attia, M.A. and Abdraboh, A.M. (2021), "Free vibration of porous fg nonlocal modified couple nanobeams via a modified porosity model", Adv. Nano Res., 11(4). http://doi.org/10.12989/anr.2021.11.4.405.
  19. Golmakani, M.E., Malikan, M. and Pour, S.G. (2021), "Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method", Continuum Mech. Thermodynam., https://doi.org/10.1007/s00161-021-00995-4.
  20. Hadji, L., Meziane, M. and Safa, A. (2018), "A new quasi-3d higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation", Struct. Eng. Mech., 66(6), 771-781. https://doi.org/10.12989/sem.2018.66.6.771.
  21. Hendi, A., Eltaher, M.A., Mohamed, S.A. and Attia, M. (2022), "Nonlinear thermal vibration of pre/post-buckled two-dimensional FGM tapered microbeams based on a higher order shear deformation theory", Steel Compos. Struct., 41(6), 787-802. https://doi.org/10.12989/scs.2022.41.6.787.
  22. Lu, L., She, G.L. and Guo, X. (2021), "Size-dependent postbuckling analysis of graphene reinforced composite microtubes with geometrical imperfection", Int. J. Mech. Sci., 199, 106428. https://doi.org/10.1016/j.ijmecsci.2021.106428.
  23. Mohamed, N., Mohamed, S. and Eltaher, M. (2020), "Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model", Eng. Comput., 37(4). http://doi.org/10.1007/s00366-020-00976-2.
  24. Mohamed, N., Mohamed, S.A. and Eltaher, M.A. (2022), "Nonlinear static stability of imperfect bio-inspired helicoidal composite beams", Mathematics, 10(7). http://doi.org/10,7. 10.3390/math10071084.
  25. Pinnola, F.P., Vaccaro, M.S., Barretta, R., Francesco, M. and Ruta, G. (2022), "Elasticity problems of beams on reaction-driven nonlocal foundation", Arch. Appl. Mech., 1-31. http://doi.org/10.1007/s00419-022-02161-x.
  26. Reddy, J.N. (2000), "Analysis of functionally graded plates", Int. J. Numer. Method. Eng., 47(1-3), 663-684. http://doi.org/10.1002/(SICI)10970207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8.
  27. She, G.L. (2021), "Guided wave propagation of porous functionally graded plates: The effect of thermal loadings", J. Therm. Stresses, 44(10), 1289-1305. https://doi.org/10.1080/01495739.2021.1974323.
  28. She, G.L., Ding, H.X. and Zhang, Y.W. (2022), "Wave propagation in a FG circular plate via the physical neutral surface concept", Struct. Eng. Mech., 82(2), 225-232. https://doi.org/10.12989/sem.2022.82.2.225.
  29. She, G.L., Liu, H.B. and Karami, B. (2021), "Resonance analysis of composite curved microbeams reinforced with graphenenanoplatelets", Thin Wall. Struct., 160, 107407. https://doi.org/10.1016/j.tws.2020.107407.
  30. She, G.L., Yuan, F.G. and Ren, Y.R. (2017a), "Nonlinear analysis of bending, thermal buckling and post-buckling for functionally graded tubes by using a refined beam theory", Compos. Struct., 165, 74-82. https://doi.org/10.1016/j.compstruct.2017.01.013.
  31. She, G.L., Yuan, F.G., Ren, Y.R. and Xiao, W.S. (2017b), "On buckling and postbuckling behavior of nanotubes", Int. J. Eng. Sci., 121, 130-142. https://doi.org/10.1016/j.ijengsci.2017.09.005.
  32. Shen, H.S. (2013), A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells, John Wiley & Sons Inc., Singapore.
  33. Shen, H.S. (2014), "Postbuckling of FGM cylindrical panels resting on elastic foundations subjected to axial compression under heat conduction", Int. J. Mech. Sci., 89, 453-461. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000439.
  34. Zenkour, A.M. and Radwan, A.F. (2019), "Bending response of FG plates resting on elastic foundations in hygro thermal environment with porosities", Compos. Struct., 213, 133-143. https://doi.org/10.1016/j.compstruct.2019.01.065.
  35. Zhao, J.L., Chen, X., She, G.L., Jing, Y., Bai, R.Q., Yi, J., Pu, H.Y., and Luo, J. (2022), "Vibration characteristics of functionally graded carbon nanotube-reinforced composite double-beams in thermal environments", Steel Compos. Struct., 43(6), 797-808. https://doi.org/10.12989/scs.2022.43.6.797.
  36. Zhang, Y.Y., Wang, Y.X., Zhang, X., Shen, H.M. and She, G.L. (2021), "On snap-buckling of FG-CNTR curved nanobeams considering surface effects", Steel Compos. Struct., 38(3), 293-304. https://doi.org/10.12989/scs.2021.38.3.293.
  37. Zhang,Y.W. and She,G.L. (2022), "Wave propagation and vibration of FG pipes conveying hot fluid", Steel Compos. Struct., 42(3), 397-405. https://doi.org/10.12989/scs.2022.42.3.397.