Buckling Finite Element Analysis of Moderately Thick Spherical Sandwich Panel with Grid Stiffened Core and SMA Reinforced Layers

Document Type : Dynamics, Vibrations, and Control

Authors

1 Ph.D. Student, Faculty of Aerospace Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran

2 Corresponding author: Professor, Faculty of Aerospace Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran

3 Assistant Professor, Faculty of Aerospace Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran

Abstract

In the present study, the buckling behavior of moderately thick spherical sandwich panels with grid stiffened core and shape-memory wires (SMA) reinforced layer is studied for the first time. The core of the panel is a grid structure and its cells are tetrahedral, and the outer layers are reinforced by SMA wires with a uniform, one-way distribution. The finite element method is used to perform the simulations. The Brinson model is used for SMA super-elastic behavior definition and fuzzy transformations are applied using the UMAT subroutine in ABAQUS software. The effect of effective geometric and mechanical parameters such as the radius of curvature of the shell, the volume fraction of SMA wires, and their prestressing on the buckling loads of the shell are verified. The results show that SMA wires cause recycled stresses that are applied as a tensile force on the upper layers of the shell. This characteristic increases the stiffness of the shell and leads the buckling load growth. If α =0.1, Increasing the volume fraction of SMA wires from 0 to 0.6% leads to the buckling load growth by 325%. In addition, the buckling load per unit volume of the shell with grid core and without grid core is 0.71 and 0.79, respectively, which indicates that the presence of grid core increases the specific buckling load by 11%. This increase, along with the reduction in the weight of the structure, highlights the importance of using sandwich structures with grid cores.

Keywords

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References

[1] Rezaee M, Maleki VAJPotIoME, Part C: Journal of Mechanical Engineering Science. An analytical solution for vibration analysis of carbon nanotube conveying viscose fluid embedded in visco-elastic medium. 2015;229(4):644-50.##
[2] Pourreza T, Alijani A, Maleki VA, Kazemi A. Nonlinear vibration of nanosheets subjected to electromagnetic fields and electrical current. Advances in nano research. 2021;10(5):481-91.##
[3] Ghaderi M, Maleki VA, Andalibi KJFBD. Retrofitting of unreinforced masonry walls under blast loading by FRP and spray on polyurea. 2015;36(4).##
[4] Vahidi Pashaki P, Pouya M, Maleki VAJPotIoME, Part C: Journal of Mechanical Engineering Science. High-speed cryogenic machining of the carbon nanotube reinforced nanocomposites: Finite element analysis and simulation. 2018;232(11):1927-36.##
[5] Khalili SM, Saeedi AJJoS, Composites To. Micromechanics modeling and experimental characterization of shape memory alloy short wires reinforced composites. 2015;2(1):1-6.##
[6] M. Mohaseb karimlou RE-F. Influence of pre-strain and position  of shape memory alloy wire on buckling properties of smart fibers metal composites. Modares Mechanical Engineering. 2018;17(11):426 - 36.##
[7] Sheikhi MM, Hadi A, Qasemi MJMME. Design and dynamic modeling of a module included a compressive spring and actuated by shape memory alloy wire. 2015;14(14):17-26.##
[8] Asfaw AM, Sherif MM, Xing G, Ozbulut OEJJoME, Performance. Experimental investigation on buckling and post-buckling behavior of superelastic shape memory alloy bars. 2020;29(5):3127-40.##
[9] Rostamijavanani A, Ebrahimi M, Jahedi SJJoFA, Prevention. Thermal post-buckling analysis of laminated composite plates embedded with shape memory alloy fibers using semi-analytical finite strip method. 2021;21(1):290-301.##
[10] Karimiasl M, Ahmadi HJPC. Theoretical investigation on the buckling behavior of smart composite sandwich panels with viscoelastic core and shape memory alloy included skins. 2021;42(10):5361-73.##
[11] Zhang T, Zhang BJMBDoS, Machines. On instabilities and thermal post-buckling of the electrically annular system coupled with shape-memory alloy fibers. 2021:1-21.##
[12] Asadi H, Bodaghi M, Shakeri M, Aghdam MJAS, Technology. On the free vibration of thermally pre/post-buckled shear deformable SMA hybrid composite beams. 2013;31(1):73-86.##
[13] Asadi H, Kiani Y, Shakeri M, Eslami MJCS. Exact solution for nonlinear thermal stability of hybrid laminated composite Timoshenko beams reinforced with SMA fibers. 2014;108:811-22.##
[14] Asadi H, Bodaghi M, Shakeri M, Aghdam MJEJoM-AS. An analytical approach for nonlinear vibration and thermal stability of shape memory alloy hybrid laminated composite beams. 2013;42:454-68.##
[15] Dastjerdi S, Abbasi M, Yazdanparast LJAM. A new modified higher-order shear deformation theory for nonlinear analysis of macro-and nano-annular sector plates using the extended Kantorovich method in conjunction with SAPM. 2017;228(10):3381-401.##
[16] Rahmani O, Khalili S, Malekzadeh K, Hadavinia HJCS. Free vibration analysis of sandwich structures with a flexible functionally graded syntactic core. 2009;91(2):229-35.##
[17] Lotfan S, Anamagh MR, Bediz BJT-WS. A general higher-order model for vibration analysis of axially moving doubly-curved panels/shells. 2021;164:107813.##
[18] Bohlooly M, Mirzavand B, Fard KMJAMM. An analytical approach for postbuckling of eccentrically or concentrically stiffened composite double curved panel on nonlinear elastic foundation. 2018;62:415-35.##
[19] Sayyad AS, Ghugal YMJCS. Static and free vibration analysis of doubly-curved functionally graded material shells. 2021;269:114045.##
[20] Tornabene F, Viscoti M, Dimitri R, Aiello MAJT-WS. Higher order formulations for doubly-curved shell structures with a honeycomb core. 2021;164:107789.##
[21] F. Allahkarami MGS. Free Vibration Analysis of Thin and Relatively Thick Two Dimensional Functionally Graded Cylindrical Shell Based on First Order Shear Deformation Theory. Journal of Mechanical Engineering. 2016;46(1):15-28.##
[22] Khalili SMR, Akbari TJJoS, Composites To. An investigation on the static buckling behavior of laminated cylindrical composite shells with embedded SMA wires by experiment. 2019;5(4):551-64.##
[23] Roh J-H, Oh I-K, Yang S-M, Han J-H, Lee IJSm, structures. Thermal post-buckling analysis of shape memory alloy hybrid composite shell panels. 2004;13(6):1337.##
[24] Ostachowicz W, Krawczuk M, Żak AJCs. Dynamics and buckling of a multilayer composite plate with embedded SMA wires. 2000;48(1-3):163-7.##
[25] Ostachowicz W, Krawczuk M, Żak AJFEiA, Design. Natural frequencies of a multilayer composite plate with shape memory alloy wires. 1999;32(2):71-83.##
[26] Lee HJ, Lee JJJSM, Structures. A numerical analysis of the buckling and postbuckling behavior of laminated composite shells with embedded shape memory alloy wire actuators. 2000;9(6):780.##
[27] Lee HJ, Lee JJ, Huh JSJCs. A simulation study on the thermal buckling behavior of laminated composite shells with embedded shape memory alloy (SMA) wires. 1999;47(1-4):463-9.##
[28] Akbari T, Khalili SJT-WS. Numerical simulation of buckling behavior of thin walled composite shells with embedded shape memory alloy wires. 2019;143:106193.##
[29] Chopra I, Sirohi J. Smart structures theory: Cambridge University Press; 2013.##
[30] Brinson L, Lammering RJIJos, structures. Finite element analysis of the behavior of shape memory alloys and their applications. 1993;30(23):3261-80.##
[31] Brinson LCJJoims, structures. One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable. 1993;4(2):229-42.##
[32] Kim Y-J, Lee C-H, Kim J-H, Lim JHJIJoS, Structures. Numerical modeling of shape memory alloy plates considering tension/compression asymmetry and its verification under pure bending. 2018;136:77-88.##
[33] Miramini A, Kadkhodaei M, Alipour A, Mashayekhi M. Analysis of interfacial debonding in shape memory alloy wire-reinforced composites. Smart Materials and Structures. 2015;25(1):015032.##
[34] Timoshenko S. Theory of elastic stability 2e: Tata McGraw-Hill Education; 1970.##
[35] Krenzke MA, Kiernan TJ. The effect of initial imperfections on the collapse strength of deep spherical shells. David Taylor Model Basin Washington DC; 1965.##
Aerospace Mechanics
Volume 18, Issue 3 - Serial Number 69
Serial No. 69, Autumn Quarterly
August 2022
Pages 155-167

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History

  • Receive Date: 14 March 2022
  • Revise Date: 09 May 2022
  • Accept Date: 15 May 2022
  • Publish Date: 23 September 2022

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