Nonlinear buckling analysis of different types of porous FG cylindrical sandwich shells
Subject Areas : Analytical and Numerical Methods in Mechanical Design
Mohsen Rahmani
1
*
,
Yones Mohammadi
2
,
Mahdi Abtahi
3
1 - Department of Mechanics,
Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran
2 - Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
3 - Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Keywords: Porosity, Temperature-dependent, FGM, Buckling, Boundary condition, Sandwich shell,
Abstract :
Based on a modified higher order sandwich shell theory, the buckling behaviours of cylindrical sandwich shells are investigated. Sandwiches consist of two functionally graded face-sheets and a homogenous core in type-I and two homogeneous face-sheets and a functionally graded core in type-II. Functionally graded materials are varied gradually across the thickness based on a power law rule which modified by considering the even and uneven porosity distributions. All materials are temperature dependent. Nonlinear Von-Karman strain, thermal stresses in all layers and in-plane strain and transverse flexibility of the core are considered to obtain the governing equations based on the minimum potential energy principle. A Galerkin method is used to solve in simply supported and clamped boundary conditions under an axial in-plane compressive load. The results of the present method are compared with some literatures to verify the procedure. Also, the effect of variation of temperature, some geometrical parameters and porosities on the critical load are studied.
Asadi, H., et al. (2015). "Enhanced thermal stability of functionally graded sandwich cylindrical shells by shape memory alloys." Smart Materials and Structures 24(4): 045022.
Balbin, I. U. and C. Bisagni (2021). "Buckling of sandwich cylindrical shells with shear deformable core through nondimensional parameters." Thin-Walled Structures 161: 107393.
Chan, D. Q., et al. (2021). "Nonlinear buckling and post-buckling of imperfect FG porous sandwich cylindrical panels subjected to axial loading under various boundary conditions." Acta Mechanica 232(3): 1163-1179.
Eslami, M. R., et al. (2018). Buckling and postbuckling of beams, plates, and shells, Springer.
Evkin, A. Y. (2019). Local buckling of cylindrical shells. Pogorelov’s geometrical method. Problems of Nonlinear Mechanics and Physics of Materials, Springer: 369-391.
Fallah, F. and E. Taati (2019). "On the nonlinear bending and post-buckling behavior of laminated sandwich cylindrical shells with FG or isogrid lattice cores." Acta Mechanica 230(6): 2145-2169.
Fan, H. (2019). "Critical buckling load prediction of axially compressed cylindrical shell based on non-destructive probing method." Thin-Walled Structures 139: 91-104.
Fard, K. M. and M. Livani (2015). "The buckling of truncated conical sandwich panels under axial compression and external pressure." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229(11): 1965-1978.
Frostig, Y., et al. (1992). "High-order theory for sandwich-beam behavior with transversely flexible core." Journal of Engineering Mechanics 118(5): 1026-1043.
Gao, K., et al. (2018). "Nonlinear dynamic stability of the orthotropic functionally graded cylindrical shell surrounded by Winkler-Pasternak elastic foundation subjected to a linearly increasing load." Journal of Sound and Vibration 415: 147-168.
Ghahfarokhi, D. S. and G. Rahimi (2018). "An analytical approach for global buckling of composite sandwich cylindrical shells with lattice cores." International Journal of Solids and Structures 146: 69-79.
Han, Q., et al. (2017). "Thermal buckling analysis of cylindrical shell with functionally graded material coating." Composite Structures 181: 171-182.
Hieu, P. T. and H. V. Tung (2021). "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): 2000-2027.
Khazaeinejad, P. and M. Najafizadeh (2010). "Mechanical buckling of cylindrical shells with varying material properties." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224(8): 1551-1557.
Kheirikhah, M., et al. (2012). "Biaxial buckling analysis of soft-core composite sandwich plates using improved high-order theory." European Journal of Mechanics-A/Solids 31(1): 54-66.
Lopatin, A. and E. Morozov (2015). "Buckling of the composite sandwich cylindrical shell with clamped ends under uniform external pressure." Composite Structures 122: 209-216.
MalekzadehFard, K., et al. (2017). "Free vibration and buckling analyses of cylindrical sandwich panel with magneto rheological fluid layer." Journal of Sandwich Structures & Materials 19(4): 397-423.
Mehralian, F. and Y. T. Beni (2016). "Size-dependent torsional buckling analysis of functionally graded cylindrical shell." Composites Part B: Engineering 94: 11-25.
Nam, V. H., et al. (2019). "Nonlinear buckling and postbuckling of sandwich FGM cylindrical shells reinforced by spiral stiffeners under torsion loads in thermal environment." Acta Mechanica 230(9): 3183-3204.
Nam, V. H. and N.-T. Trung (2019). "Buckling and postbuckling of porous cylindrical shells with functionally graded composite coating under torsion in thermal environment." Thin-Walled Structures 144: 106253.
Phuong, N. T., et al. (2019). "Nonlinear stability of sandwich functionally graded cylindrical shells with stiffeners under axial compression in thermal environment." International Journal of Structural Stability and Dynamics 19(07): 1950073.
Rahmani, M. and S. Dehghanpour (2020). "Temperature-Dependent Vibration of Various Types of Sandwich Beams with Porous FGM Layers." International Journal of Structural Stability and Dynamics: 2150016.
Rahmani, M. and Y. Mohammadi (2021). "Vibration of two types of porous FG sandwich conical shell with different boundary conditions." Structural Engineering and Mechanics 79(4): 401-413.
Rahmani, M., et al. (2019). "Vibration analysis of sandwich truncated conical shells with porous FG face sheets in various thermal surroundings." Steel and Composite Structures, An International Journal 32(2): 239-252.
Rahmani, M., et al. (2020). "Buckling analysis of different types of porous FG conical sandwich shells in various thermal surroundings." Journal of the Brazilian Society of Mechanical Sciences and Engineering 42(4): 1-16.
Rahmani, M., et al. (2019). "Buckling behavior analysis of truncated conical sandwich panel with porous FG core in different thermal conditions." Amirkabir Journal of Mechanical Engineering 52(10): 141-150.
Rahmani, M., et al. (2020). "Vibration analysis of different types of porous FG conical sandwich shells in various thermal surroundings." Journal of Applied and Computational Mechanics 6(3): 416-432.
Reddy, J. N. (2003). Mechanics of laminated composite plates and shells: theory and analysis, CRC press.
Semenyuk, N., et al. (2019). "Stability and initial post-buckling behavior of orthotropic cylindrical sandwich shells with unidirectional elastic filler." International Applied Mechanics 55(6): 636-647.
Shatov, A., et al. (2020). Buckling of composite sandwich cylindrical shell with lattice anisogrid core under hydrostatic pressure. Journal of Physics: Conference Series, IOP Publishing.
Shen, H.-S. (2003). "Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments." Engineering Structures 25(4): 487-497.
Sheng, G. and X. Wang (2018). "The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells." Applied Mathematical Modelling 56: 389-403.
Sofiyev, A. and D. Hui (2019). "On the vibration and stability of FGM cylindrical shells under external pressures with mixed boundary conditions by using FOSDT." Thin-Walled Structures 134: 419-427.
Sofiyev, A. H., et al. (2016). "Effects of shear stresses and rotary inertia on the stability and vibration of sandwich cylindrical shells with FGM core surrounded by elastic medium." Mechanics Based Design of Structures and Machines 44(4): 384-404.
Tho Hung, V., et al. (2020). "Nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells surrounded by an elastic medium." Materials 13(8): 1984.
Trabelsi, S., et al. (2019). "A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells." Engineering Structures 178: 444-459.
Vodenitcharova, T. and P. Ansourian (1996). "Buckling of circular cylindrical shells subject to uniform lateral pressure." Engineering Structures 18(8): 604-614.