Structural Engineering and Mechanics

  • 제89권1호
  • /
  • Pages.13-22
  • /
  • 2024
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

On the snap-buckling phenomenon in nanocomposite curved tubes

  • Dan Chen (Taizhou Vocational College of Science & Technology) ;
  • Jun Shao (Taizhou Vocational College of Science & Technology) ;
  • Zhengrong Xu (Taizhou Jurong Plastics Co., LTD) ;
  • Hadi Babaei (Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University)
  • 투고 : 2023.03.28
  • 심사 : 2023.12.04
  • 발행 : 2024.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The nonlinear snap-through buckling of functionally graded (FG) carbon nanotube reinforced composite (CNTRC) curved tubes is analytically investigated in this research. It is assumed that the FG-CNTRC curved tube is supported on a three-parameter nonlinear elastic foundation and is subjected to the uniformly distributed pressure and thermal loads. Properties of the curved nanocomposite tube are distributed across the radius of the pipe and are given by means of a refined rule of mixtures approach. It is also assumed that all thermomechanical properties of the nanocomposite tube are temperature-dependent. The governing equations of the curved tube are obtained using a higher-order shear deformation theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the tube. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large deflection in the curved tube. Equations of motion are solved using the two-step perturbation technique for nanocomposite curved tubes which are simply-supported and clamped. Closed-form expressions are provided to estimate the snap-buckling resistance of FG-CNTRC curved pipes rested on nonlinear elastic foundation in thermal environment. Numerical results are given to explore the effects of the distribution pattern and volume fraction of CNTs, thermal field, foundation stiffnesses, and geometrical parameters on the instability of the curved nanocomposite tube.

키워드

과제정보

This work was supported by the youth research project of Taizhou Vocational College of Science & Technology (23QNB08); The visiting engineer school-enterprise cooperation project of Zhejiang Province, China (FG2022384); The science and technology plan project of Taizhou City, Zhejiang Province, China (23gyb26).

참고문헌

  1. Arefi, M. (2015), "Elastic solution of a curved beam made of functionally graded materials with different cross sections", Steel Compos. Struct., 18(3), 659-672. https://doi.org/10.12989/scs.2015.18.3.659.
  2. Babaei, H. (2021a), "Thermoelastic buckling and post-buckling behavior of temperature-dependent nanocomposite pipes reinforced with CNTs", Eur. Phys. J. Plus, 136, 1093. https://doi.org/10.1140/epjp/s13360-021-01992-x.
  3. Babaei, H. (2021b), "Large deflection analysis of FG-CNT reinforced composite pipes under thermal-mechanical coupling loading", Struct., 34, 886-900. https://doi.org/10.1016/j.istruc.2021.07.091.
  4. Babaei, H. (2021c), "On frequency response of FG-CNT reinforced composite pipes in thermally pre/post buckled configurations", Compos. Struct., 276, 114467. https://doi.org/10.1016/j.compstruct.2021.114467.
  5. Babaei, H. (2022), "Nonlinear analysis of size-dependent frequencies in porous FG curved nanotubes based on nonlocal strain gradient theory", Eng. Comput., https://doi.org/10.1007/s00366-021-01317-7.
  6. Babaei, H. and Eslami, M.R. (2020b), "On nonlinear vibration and snap-through stability of porous FG curved micro-tubes using two-step perturbation technique", Compos. Struct., 247, 112447. https://doi.org/10.1016/j.compstruct.2020.112447.
  7. Babaei, H. and Eslami, M.R. (2020c), "Limit load analysis and imperfection sensitivity of porous FG micro-tubes surrounded by a nonlinear softening elastic medium", Acta Mechanica, 231, 4563-4583. https://doi.org/10.1007/s00707-020-02781-w.
  8. Babaei, H., Kiani, Y. and Eslami, M.R. (2018), "Geometrically nonlinear analysis of functionally graded shallow curved tubes in thermal environment", Thin Wall. Struct., 132, 48-57. https://doi.org/10.1016/j.tws.2018.08.008.
  9. Babaei, H., Kiani, Y. and Eslami, M.R. (2020a), "Large amplitude free vibrations of FGM shallow curved tubes in thermal environment", Smart Struct. Syst., 25, 693-705. https://doi.org/10.12989/sss.2020.25.6.693.
  10. Bahaadini, R., Saidi, A.R. and Hosseini, M. (2018), "Dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes", Acta Mechanica, 229, 5013-5029. https://doi.org/10.1007/s00707-018-2286-0.
  11. Chan, D.Q., Nguyen, P.D., Quang, V.D., Anh, V.T.T. and Duc, N.D. (2019), "Nonlinear buckling and post-buckling of functionally graded carbon nanotubes reinforced composite truncated conical shells subjected to axial load", Steel Compos. Struct., 31(3), 243-259. https://doi.org/10.12989/scs.2019.31.3.243.
  12. Chen, F., Chen, J., Duan, R., Habibi, M. and Khadimallah, M.A. (2022), "Investigation on dynamic stability and aeroelastic characteristics of composite curved pipes with any yawed angle", Compos. Struct., 284, 115195. https://doi.org/10.1016/j.compstruct.2022.115195.
  13. Chen, Y., Fu, Y., Zhong, J. and Li, Y. (2017), "Nonlinear dynamic responses of functionally graded tubes subjected to moving load based on a refined beam model", Nonlin. Dyn., 88(2), 1441-1452. https://doi.org/10.1007/s11071-016-3321-0.
  14. Dat, N.D., Quan, T.Q. and Duc, N.D. (2021), "Nonlinear thermal dynamic buckling and global optimization of smart sandwich plate with porous homogeneous core and carbon nanotube reinforced nanocomposite layers", Eur. J. Mech.-A/Solid., 90, 104351. https://doi.org/10.1016/j.euromechsol.2021.104351.
  15. Dat, N.D., Quan, T.Q., Mahesh, V. and Duc, N.D. (2020), "Analytical solutions for nonlinear magneto-electro-elastic vibration of smart sandwich plate with carbon nanotube reinforced composite core in hygrothermal environment", Int. J. Mech. Sci., 186, 105906. https://doi.org/10.1016/j.ijmecsci.2020.105906.
  16. Dat, N.D., Thanh, N.V., Anh, V.M. and Duc, N.D. (2022), "Vibration and nonlinear dynamic analysis of sandwich FG-CNTRC plate with porous core layer", Mech. Adv. Mater. Struct., 29, 1431-1448. https://doi.org/10.1080/15376494.2020.1822476.
  17. Deniz, A., Avey, M., Fantuzzi, N., Sofiyev, A., Esencan Turkaslan, B., Yuce, S. and Schnack, E. (2021), "Influences of elastic foundations and material gradient on the dynamic response of polymer cylindrical pipes patterned by carbon nanotube subjected to moving pressures", Nanomater., 11, 3075. https://doi.org/10.3390/nano11113075.
  18. Duc, N.D. (2014), Nonlinear Static and Dynamic Stability of Functionally Graded Plates and Shells, Vietnam National University Press, Hanoi.
  19. Duc, N.D. and Minh, P.P. (2021), "Free vibration analysis of cracked FG CNTRC plates using phase field theory", Aerosp. Sci. Technol., 112, 106654. https://doi.org/10.1016/j.ast.2021.106654.
  20. Duc, N.D., Cong, P.H., Tuan, N.D., Tran, P. and Thanh, N.V. (2017), "Thermal and mechanical stability of functionally graded carbon nanotubes reinforced composite truncated conical shells surrounded by the elastic foundations", Thin Wall. Struct., 115, 300-310. https://doi.org/10.1016/j.tws.2017.02.016.
  21. Duc, N.D., Quan, T.Q. and Khoa, N.D. (2017), "New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature", Aerosp. Sci. Technol., 71, 360-372. https://doi.org/10.1016/j.ast.2017.09.031.
  22. Eslami, M.R. (2018), Buckling and Postbuckling of Beams, Plates, and Shells, Springer, Switzerland.
  23. 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., 96-97, 58-64. https://doi.org/10.1016/j.ijmecsci.2015.03.019.
  24. Ghadirian, H., Mohebpour, S.R., Malekzadeh, P. and Daneshmand, F. (2022), "Nonlinear free vibrations and stability analysis of FG-CNTRC pipes conveying fluid based on Timoshenko model", Compos. Struct., 292, 115637. https://doi.org/10.1016/j.marstruc.2021.103141.
  25. Ghadirian, H., Mohebpour, S.R., Malekzadeh, P. and Daneshmand, F. (2022), "Numerical instability investigation of composite pipes reinforced by carbon nanotubes based on higher-order shear deformation theory", Marine Struct., 82, 103141. https://doi.org/10.1016/j.marstruc.2021.103141.
  26. Huang, Y. and Li, X.F. (2010a), "Buckling of functionally graded circular columns including shear deformation", Mater. Des., 31(7), 3159-3166. https://doi.org/10.1016/j.matdes.2010.02.032.
  27. Huang, Y. and Li, X.F. (2010b), "Bending and vibration of circular cylindrical beams with arbitrary radial nonhomogeneity", Int. J. Mech. Sci., 52(4), 595-601. https://doi.org/10.1016/j.ijmecsci.2009.12.008.
  28. Liu, M., Bi, S., Shao, S. and Babaei, H. (2023), "Nonlinear vibration of FG-CNTRC curved pipes with temperature-dependent properties", Steel Compos. Struct., 46(4), 553-563. https://doi.org/10.12989/scs.2023.46.4.553.
  29. Malekzadeh, P., Atashi, M.M. and Karami, G. (2009), "In-plane free vibration of functionally graded circular arches with temperature-dependent properties under thermal environment", J. Sound Vib., 326(3-5), 837-851. https://doi.org/10.1016/j.jsv.2009.05.016.
  30. Mohamed, N., Mohamed, S.A. and Eltaher, M.A. (2020), "Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model", Eng. Comput., 37, 2823-2836. https://doi.org/10.1007/s00366-020-00976-2.
  31. Mohamed, S.A., Mohamed, N. and Eltaher, M.A. (2022), "Snap-through instability of helicoidal composite imperfect beams surrounded by nonlinear elastic foundation", Ocean Eng, 263, 112171. https://doi.org/10.1016/j.oceaneng.2022.112171.
  32. Moradi-Dastjerdi, R., Foroutan, M. and Pourasghari, A. (2013), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method", Materials and Design, 44, 256-266. https://doi.org/10.1016/j.matdes.2012.07.069.
  33. Nguyen, P.D., Papazafeiropoulos, G., Vu, Q.V. and Duc, N.D. (2022), "Buckling response of laminated FG-CNT reinforced composite plates: Analytical and finite element approach", Aerosp. Sci. Technol., 121, 107368. https://doi.org/10.1016/j.ast.2022.107368.
  34. She, G.L., Ren, Y.R. and Yuan, F.G. (2019), "Hygro-thermal wave propagation in functionally graded double-layered nanotubes systems", Steel Compos. Struct., 31(6), 641-653. https://doi.org/10.12989/scs.2019.31.6.641.
  35. She, G.L., Yuan, F.G. and Ren, Y.R. (2017), "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.
  36. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91, 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026.
  37. Shen, H.S. (2013), A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells, Wiley & Sons, Singapore.
  38. Shen, H.S. and Wang, H. (2014), "Nonlinear vibration of shear deformable FGM cylindrical panels resting on elastic foundation in thermal environment", Compos. Part B, 60, 167-177. https://doi.org/10.1016/j.compositesb.2013.12.051.
  39. Sofiyev, A.H., Mammadov, Z., Dimitri, R. and Tornabene, F. (2021), "Vibration analysis of shear deformable carbon nanotubes-based functionally graded conical shells resting on elastic foundations", Math. Meth. Appl. Sci., https://doi.org/10.1002/mma.6674.
  40. Tornabene, F., Fantuzzi, N. and Bacciocchi, M. (2019), "Refined shear deformation theories for laminated composite arches and beams with variable thickness: Natural frequency analysis", Eng. Anal. Bound. Elem., 100, 24-47. https://doi.org/10.1016/j.enganabound.2017.07.029.
  41. Vakili Tahami, F., Bighlari, H. and Raminnea, M. (2018), "Hot fluid induced temperature-dependent vibration and instability of embedded FG-CNTRC Reddy pipes", Mech. Adv. Mater. Struct., 25, 407-424. https://doi.org/10.1080/15376494.2017.1285460.
  42. Zhang, Y.W., Ding, H.X. and She, G.L. (2022), "Snap-buckling and resonance of functionally graded graphene reinforced composites curved beams resting on elastic foundations in thermal environment", J Therm. Stress., 45, 1029-1042. https://doi.org/10.1080/01495739.2022.2125137.
  43. 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.2021.38.4.293.
  44. Zhong, J., Fu, Y., Wan, D. and Li, Y. (2016), "Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model", Appl. Math. Model., 40(17-18), 7601-7614. https://doi.org/10.1016/j.apm.2016.03.031.