Nonlinear buckling and post-buckling of imperfect FG porous sandwich cylindrical panels subjected to axial loading on elastic foundation
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/17980Keywords:
analytical methods, FGP cylindrical panel, elastic foundation, nonlinear stabilityAbstract
This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels with non-uniform porous core and functionally graded face sheets. The imperfect sandwich cylindrical panels are subjected to axial loading on elastic foundation. Based on the Donnell shell theory, with von Kármán geometrical nonlinearity, the governing equations are derived. The effects of elastic foundation, various panel geometrical characteristics, porosity parameters, and the thickness of the porous core are investigated. The effects of foundation parameters, porosity parameters, the thickness of the porous core, and material parameters are investigated.
Downloads
References
D. Chen, S. Kitipornchai, and J. Yang. Dynamic response and energy absorption of functionally graded porous structures. Materials & Design, 140, (2018), pp. 473–487. DOI: https://doi.org/10.1016/j.matdes.2017.12.019
D. Chen, J. Yang, and S. Kitipornchai. Elastic buckling and static bending of shear deformable functionally graded porous beam. Composite Structures, 133, (2015), pp. 54–61. DOI: https://doi.org/10.1016/j.compstruct.2015.07.052
D. Chen, J. Yang, and S. Kitipornchai. Free and forced vibrations of shear deformable functionally graded porous beams. International Journal of Mechanical Sciences, 108-109, (2016), pp. 14–22. DOI: https://doi.org/10.1016/j.ijmecsci.2016.01.025
D. Chen, S. Kitipornchai, and J. Yang. Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Structures, 107, (2016), pp. 39–48. DOI: https://doi.org/10.1016/j.tws.2016.05.025
K. Magnucki, M. Malinowski, and J. Kasprzak. Bending and buckling of a rectangular porous plate. Steel and Composite Structures, 6, (4), (2006), pp. 319–333. DOI: https://doi.org/10.12989/scs.2006.6.4.319
A. S. Rezaei and A. R. Saidi. Exact solution for free vibration of thick rectangular plates made of porous materials. Composite Structures, 134, (2015), pp. 1051–1060. DOI: https://doi.org/10.1016/j.compstruct.2015.08.125
T. M. Tu, L. K. Hoa, D. X. Hung, and L. T. Hai. Nonlinear buckling and post-buckling analysis of imperfect porous plates under mechanical loads. Journal of Sandwich Structures & Materials, 22, (2018), pp. 1910–1930. DOI: https://doi.org/10.1177/1099636218789612
D.-K. Thai, T. M. Tu, L. K. Hoa, D. X. Hung, and N. N. Linh. Nonlinear stability analysis of eccentrically stiffened functionally graded truncated conical sandwich shells with porosity. Materials, 11, (2018). DOI: https://doi.org/10.3390/ma11112200
V. H. Nam, N.-T. Trung, and L. K. Hoa. Buckling and postbuckling of porous cylindrical shells with functionally graded composite coating under torsion in thermal environment. Thin-Walled Structures, 144, (2019). DOI: https://doi.org/10.1016/j.tws.2019.106253
K. Foroutan, A. Shaterzadeh, and H. Ahmadi. Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells. Applied Mathematical Modelling, 77, (2020), pp. 539–553. DOI: https://doi.org/10.1016/j.apm.2019.07.062
H.-S. Shen. Postbuckling analysis of axially loaded functionally graded cylindrical panels in thermal environments. International Journal of Solids and Structures, 39, (2002), pp. 5991–6010. DOI: https://doi.org/10.1016/S0020-7683(02)00479-1
N. Jaunky and N. F. K. Jr. An assessment of shell theories for buckling of circular cylindrical laminated composite panels loaded in axial compression. International Journal of Solids and Structures, 36, (1999), pp. 3799–3820. DOI: https://doi.org/10.1016/S0020-7683(98)00177-2
N. D. Duc and H. V. Tung. Nonlinear analysis of stability for functionally graded cylindrical panels under axial compression. Computational Materials Science, 49, (2010), pp. S313–S316. DOI: https://doi.org/10.1016/j.commatsci.2009.12.030
D. V. Dung and L. K. Hoa. Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the Poisson's ratio varying smoothly along the thickness. Vietnam Journal of Mechanics, 34, (2012), pp. 27–44. DOI: https://doi.org/10.15625/0866-7136/34/1/426
Y. M. Fu and C. Y. Chia. Nonlinear analysis of unsymmetrically laminated imperfect thick panels on elastic foundation. Composite Structures, 13, (1989), pp. 289–314. DOI: https://doi.org/10.1016/0263-8223(89)90013-5
G. J. Turvey. Buckling of simply supported cross-ply cylindrical panels on elastic foundations. The Aeronautical Journal, 81, (1977), pp. 88–91. DOI: https://doi.org/10.1017/S000192400003236X
C.-Y. Chia. Nonlinear vibration and postbuckling of unsymmetrically laminated imperfect shallow cylindrical panels with mixed boundary conditions resting on elastic foundation. International Journal of Engineering Science, 25, (1987), pp. 427–441. DOI: https://doi.org/10.1016/0020-7225(87)90069-3
H.-S. Shen and Y. Xiang. Effect of negative Poisson's ratio on the axially compressed postbuckling behavior of FG-GRMMC laminated cylindrical panels on elastic foundations. Thin-Walled Structures, 157, (2020). DOI: https://doi.org/10.1016/j.tws.2020.107090
N. D. Duc and T. Q. Quan. Nonlinear response of imperfect eccentrically stiffened FGM cylindrical panels on elastic foundation subjected to mechanical loads. European Journal of Mechanics - A/Solids, 46, (2014), pp. 60–71. DOI: https://doi.org/10.1016/j.euromechsol.2014.02.005
N. D. Duc, N. D. Tuan, T. Q. Quan, N. V. Quyen, and T. V. Anh. Nonlinear mechanical, thermal and thermo-mechanical postbuckling of imperfect eccentrically stiffened thin FGM cylindrical panels on elastic foundations. Thin-Walled Structures, 96, (2015), pp. 155–168. DOI: https://doi.org/10.1016/j.tws.2015.08.005
T. Q. Quan, P. Tran, N. D. Tuan, and N. D. Duc. Nonlinear dynamic analysis and vibration of shear deformable eccentrically stiffened S-FGM cylindrical panels with metal–ceramic–metal layers resting on elastic foundations. Composite Structures, 126, (2015), pp. 16–33. DOI: https://doi.org/10.1016/j.compstruct.2015.02.056
L. T. N. Trang and H. V. Tung. Thermomechanical nonlinear analysis of axially compressed carbon nanotube-reinforced composite cylindrical panels resting on elastic foundations with tangentially restrained edges. Journal of Thermal Stresses, 41, (2018), pp. 418–438. DOI: https://doi.org/10.1080/01495739.2017.1409093
M. M. Keleshteri and J. Jelovica. Nonlinear vibration behavior of functionally graded porous cylindrical panels. Composite Structures, 239, (2020). DOI: https://doi.org/10.1016/j.compstruct.2020.112028
H. Akbari, M. Azadi, and H. Fahham. Free vibration analysis of thick sandwich cylindrical panels with saturated FG-porous core. Mechanics Based Design of Structures and Machines, 50, (2020), pp. 1268–1286. DOI: https://doi.org/10.1080/15397734.2020.1748051
V. M. Anh and N. D. Duc. Nonlinear vibration of porous functionally graded cylindrical panel using Reddy’s high order shear deformation. VNU Journal of Science: Mathematics - Physics, 35, (2019). DOI: https://doi.org/10.25073/2588-1124/vnumap.4444
D. Q. Chan, P. V. Hoan, N. T. Trung, L. K. Hoa, and D. T. Huan. Nonlinear buckling and post-buckling of imperfect FG porous sandwich cylindrical panels subjected to axial loading under various boundary conditions. Acta Mechanica, 232, (2021), pp. 1163–1179. DOI: https://doi.org/10.1007/s00707-020-02882-6
Downloads
Published
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
