Thermo-torsional buckling and postbuckling of thin FGM cylindrical shells with porosities and tangentially restrained edges

References

• Babaei, H. 2022. Thermomechanical analysis of snap-buckling phenomenon in long FG-CNTRC cylindrical panels resting on nonlinear elastic foundation. Composite Structures 286:115199. doi:10.1016/j.compstruct.2022.115199.
   Web of Science ®Google Scholar
• Babaei, H., and M. R. Eslami. 2021a. On nonlinear vibration and snap-through buckling of long FG porous cylindrical panels using nonlocal strain gradient theory. Composite Structures 256:113125. doi:10.1016/j.compstruct.2020.113125.
   Web of Science ®Google Scholar
• Babaei, H., and M. R. Eslami. 2021b. Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT. Applied Mathematical Modelling 91:1061–80. doi:10.1016/j.apm.2020.10.004.
   Web of Science ®Google Scholar
• Babaei, H., M. Jabbari, and M. R. Eslami. 2021. The effect of porosity on elastic stability of toroidal shell segments made of saturated porous functionally graded materials. Journal of Pressure Vessel Technology 143 (3):031501. doi:10.1115/1.4048418.
   PubMed Web of Science ®Google Scholar
• Brush, D. O, and B. O. Almroth. 1975. Buckling of bars, plates and shells. New York: McGraw-Hill. https://lib.ugent.be/catalog/rug01:001042810.
   Google Scholar
• Chehil, D. S., and S. Cheng. 1968. Elastic buckling of composite cylindrical shells under torsion. Journal of Spacecraft and Rockets 5 (8):973–8. doi:10.2514/3.29398.
   Web of Science ®Google Scholar
• Cong, P. H., T. M. Chien, N. D. Khoa, and N. D. Duc. 2018. Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT. Aerospace Science and Technology 77:419–28. doi:10.1016/j.ast.2018.03.020.
   Web of Science ®Google Scholar
• Cuong, L. T., T. V. Loc, B. Q. Tinh, N. X. Hoang, and M. A. Wahab. 2019. Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates. Composite Structures 221:110838. doi:10.1016/j.compstruct.2019.04.010.
   Web of Science ®Google Scholar
• Dung, D. V., and L. K. Hoa. 2013. Research on nonlinear torsional buckling and post-buckling of eccentrically stiffened functionally graded thin circular cylindrical shells. Composites Part B 51:300–9. doi:10.1016/j.compositesb.2013.03.030.
   Web of Science ®Google Scholar
• Gupta, A., and M. Talha. 2018. Influence of initial geometric imperfections and porosity on the stability of functionally graded material plates. Mechanics Based Design of Structures and Machines 46 (6):693–711. doi:10.1080/15397734.2018.1449656.
   Web of Science ®Google Scholar
• Hieu, P. T., and H. V. Tung. 2019. Thermomechanical nonlinear buckling of pressure-loaded carbon nanotube reinforced composite toroidal shell segment surrounded by an elastic medium with tangentially restrained edges. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233 (9):3193–207. doi:10.1177/0954406218802942.
   Web of Science ®Google Scholar
• Hieu, P. T., and H. V. Tung. 2020a. Thermal and thermomechanical buckling of shear deformable FG-CNTRC cylindrical shells and toroidal shell segments with tangentially restrained edges. Archive of Applied Mechanics 90 (7):1529–46. doi:10.1007/s00419-020-01682-7.
   Web of Science ®Google Scholar
• Hieu, P. T., and H. V. Tung. 2020b. Thermomechanical postbuckling of pressure-loaded CNT-reinforced composite cylindrical shells under tangential edge constraints and various temperature conditions. Polymer Composites 41 (1):244–57. doi:10.1002/pc.25365.
   Web of Science ®Google Scholar
• Hieu, P. T., and H. V. Tung. 2021a. Nonlinear buckling behavior of functionally graded material sandwich cylindrical shells with tangentially restrained edges subjected to external pressure and thermal loadings. Journal of Sandwich Structures & Materials 23 (6):2000–27. doi:10.1177/1099636220908855.
   Web of Science ®Google Scholar
• Hieu, P. T., and H. V. Tung. 2021b. Thermal buckling and postbuckling of CNT-reinforced composite cylindrical shell surrounded by an elastic medium with tangentially restrained edges. Journal of Thermoplastic Composite Materials 34 (7):861–83. doi:10.1177/0892705719853611.
   Web of Science ®Google Scholar
• Huang, H., and Q. Han. 2010. Nonlinear buckling of torsion-loaded functionally graded cylindrical shells in thermal environments. European Journal of Mechanics – A/Solids 29 (1):42–8. doi:10.1016/j.euromechsol.2009.06.002.
   Web of Science ®Google Scholar
• Huang, H., Q. Han, N. Feng, and X. Fan. 2011. Buckling of functionally graded cylindrical shells under combined loads. Mechanics of Advanced Materials and Structures 18 (5):337–46. doi:10.1080/15376494.2010.516882.
   Web of Science ®Google Scholar
• Kim, Y. S., G. A. Kardomateas, and A. Zureick. 1999. Buckling of thick orthotropic cylindrical shells under torsion. Journal of Applied Mechanics 66 (1):41–50. doi:10.1115/1.2789167.
   Web of Science ®Google Scholar
• Kumar, A., S. L. Das, and P. Wahi. 2015. Instabilities of thin circular cylindrical shells under radial loading. International Journal of Mechanical Sciences 104:174–89. doi:10.1016/j.ijmecsci.2015.10.003.
   Web of Science ®Google Scholar
• Long, V. T., and H. V. Tung. 2021a. Thermal nonlinear buckling of shear deformable functionally graded cylindrical shells with porosities. AIAA Journal 59 (6):2233–41. doi:10.2514/1.J060026.
   Web of Science ®Google Scholar
• Long, V. T., and H. V. Tung. 2021b. Thermomechanical nonlinear buckling of pressurized shear deformable FGM cylindrical shells including porosities and elastically restrained edges. Journal of Aerospace Engineering 34 (3):04021011. doi:10.1061/(ASCE)AS.1943-5525.0001252.
   Web of Science ®Google Scholar
• Long, V. T., and H. V. Tung. 2021c. Postbuckling responses of porous FGM spherical caps and circular plates including edge constraints and nonlinear three-parameter elastic foundations. Mechanics Based Design of Structures and Machines 1–23. doi:10.1080/15397734.2021.1956327.
   Web of Science ®Google Scholar
• Long, V. T., and H. V. Tung. 2021d. Mechanical buckling analysis of thick FGM toroidal shell segments with porosities using Reddy’s higher order shear deformation theory. Mechanics of Advanced Materials and Structures 1–10. doi:10.1080/15376494.2021.1969606.
   Web of Science ®Google Scholar
• Long, V. T., and H. V. Tung. 2022. Buckling behavior of thick porous functionally graded material toroidal shell segments under external pressure and elevated temperature including tangential edge restraint. Journal of Pressure Vessel Technology 144 (5):051310. doi:10.1115/1.4053485.
   Web of Science ®Google Scholar
• Najafov, A. M., A. H. Sofiyev, and N. Kuruoglu. 2013. Torsional vibration and stability of functionally graded orthotropic cylindrical shells on elastic foundations. Meccanica 48 (4):829–40. doi:10.1007/s11012-012-9636-0.
   Web of Science ®Google Scholar
• Nam, V. H., N. T. Phuong, K. V. Minh, and P. T. Hieu. 2018. Nonlinear thermo-mechanical buckling and post-buckling of multilayer FGM cylindrical shell reinforced by spiral stiffeners surrounded by elastic foundation subjected to torsional loads. European Journal of Mechanics – A/Solids 72:393–406. doi:10.1016/j.euromechsol.2018.06.005.
   Web of Science ®Google Scholar
• Nam, V. H., N. T. Trung, and L. K. Hoa. 2019. Buckling and postbuckling of porous cylindrical shells with functionally graded composite coating under torsion in thermal environment. Thin-Walled Structures 144:106253. doi:10.1016/j.tws.2019.106253.
   Web of Science ®Google Scholar
• Reddy, J. N., and C. D. Chin. 1998. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses 21 (6):593–626. doi:10.1080/01495739808956165.
   Web of Science ®Google Scholar
• Shen, H. S. 2002. Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments. Composites Science and Technology 62 (7–8):977–87. doi:10.1016/S0266-3538(02)00029-5.
   Web of Science ®Google Scholar
• Shen, H. S. 2003. Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments. Engineering Structures 25 (4):487–97. doi:10.1016/S0141-0296(02)00191-8.
   Web of Science ®Google Scholar
• Shen, H. S. 2004. Thermal postbuckling behavior of functionally graded cylindrical shells with temperature-dependent properties. International Journal of Solids and Structures 41 (7):1961–74. doi:10.1016/j.ijsolstr.2003.10.023.
   Web of Science ®Google Scholar
• Shen, H. S. 2009. Torsional buckling and postbuckling of FGM cylindrical shells in thermal environments. International Journal of Non-Linear Mechanics 44 (6):644–57. doi:10.1016/j.ijnonlinmec.2009.02.009.
   Web of Science ®Google Scholar
• Shen, H. S. 2014. Torsional postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments. Composite Structures 116:477–88. doi:10.1016/j.compstruct.2014.05.039.
   Web of Science ®Google Scholar
• Sofiyev, A. H., and N. Kuruoglu. 2013. Torsional vibration and buckling of the cylindrical shell with functionally graded coatings surrounded by an elastic medium. Composites Part B 45 (1):1133–42. doi:10.1016/j.compositesb.2012.09.046.
   Web of Science ®Google Scholar
• Sofiyev, A. H., and E. Schnack. 2004. The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading. Engineering Structures 26 (10):1321–31. doi:10.1016/j.engstruct.2004.03.016.
   Web of Science ®Google Scholar
• Tabiei, A., and G. J. Simitses. 1994. Buckling of moderately thick, laminated cylindrical shells under torsion. AIAA Journal 32 (3):639–47. doi:10.2514/3.12032.
   Web of Science ®Google Scholar
• Touloukian, Y. S. 1967. Thermophysical properties of high temperature solid materials. New York: MacMillan.
   Google Scholar
• Trabelsi, S., A. Frikha, S. Zghal, and F. Dammak. 2018. Thermal post-buckling analysis of functionally graded material structures using a modified FSDT. International Journal of Mechanical Sciences 144:74–89. doi:10.1016/j.ijmecsci.2018.05.033.
   Web of Science ®Google Scholar
• Trabelsi, S., A. Frikha, S. Zghal, and F. Dammak. 2019. A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells. Engineering Structures 178:444–59. doi:10.1016/j.engstruct.2018.10.047.
   Web of Science ®Google Scholar
• Trinh, M. C., T. Mukhopadhyay, and S. E. Kim. 2020. A semi-analytical stochastic buckling quantification of porous functionally graded plates. Aerospace Science and Technology 105:105928. doi:10.1016/j.ast.2020.105928.
   Web of Science ®Google Scholar
• Tung, H. V. 2014. Postbuckling of functionally graded cylindrical shells with tangential edge restraints and temperature-dependent properties. Acta Mechanica 225 (6):1795–808. doi:10.1007/s00707-013-1011-2.
   Web of Science ®Google Scholar
• Tung, H. V., and L. T. N. Trang. 2021. Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature. Applied Mathematics and Mechanics 42 (9):1327–48. doi:10.1007/s10483-021-2771-6.
   Google Scholar
• Wan, Z., and S. Li. 2017. Thermal buckling analysis of functionally graded cylindrical shells. Applied Mathematics and Mechanics 38 (8):1059–70. doi:10.1007/s10483-017-2225-7.
   Google Scholar
• Wattanasakulpong, N., and V. Ungbhakorn. 2014. Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities. Aerospace Science and Technology 32 (1):111–20. doi:10.1016/j.ast.2013.12.002.
   Web of Science ®Google Scholar
• Zghal, S., D. Ataoui, and F. Dammak. 2022. Static bending analysis of beams made of functionally graded porous materials. Mechanics Based Design of Structures and Machines 50 (3):1012–29. doi:10.1080/15397734.2020.1748053.
   Web of Science ®Google Scholar
• Zhang, X., and Q. Han. 2007. Buckling and postbuckling behaviors of imperfect cylindrical shells subjected to torsion. Thin-Walled Structures 45 (12):1035–43. doi:10.1016/j.tws.2007.07.003.
   Web of Science ®Google Scholar