Influence of the 3D material tailoring on snap-through and snap-back post-buckling behaviors of steel-wire-reinforced hybrid 3D graded orthotropic shallow cylindrical panels
Restricted accessResearch articleFirst published online January, 2019
Influence of the 3D material tailoring on snap-through and snap-back post-buckling behaviors of steel-wire-reinforced hybrid 3D graded orthotropic shallow cylindrical panels
Simultaneous application of composite layers and steel bars/wires may considerably increase buckling strength of the civil structures. In the present paper, influence of the material heterogeneity on snap-through and snap-back post-buckling behaviors of the steel-wire-reinforced hybrid functionally graded orthotropic shallow cylindrical panels is investigated. In this regard, various arrangements are adopted for the steel-wires to constitute 3D (simultaneous radial, circumferential, and axial) gradations of the materials within some layers in addition to using some traditional composite layers in between. The non-linear governing equations of post-buckling are derived based on the principle of minimum potential energy. Sanders’ shell theory is utilized to ensure that the results are reliable in the deep post-buckling region. A nonlinear finite element scheme is employed to trace the post-buckling paths using the modified arc-length method. Finally, some parametric studies in terms of material arrangement, size of the embedded steel wires, the overall lamination scheme, and geometric parameters of the shell are performed. Results emphasize the significant effects of the steel wires on the post-buckling strength and indicate the advantage of using steel fibers with exponential or uniform longitudinal distributions and linear transverse distribution, for weight optimization.
SofiyevAHKuruogluN. Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures. Thin-Wall Struct2014; 78: 121–130.
4.
ZhangYZhangLWLiewKMet al.Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory. Appl Math Comput2015; 258: 489–501.
5.
ZhangYLeiZXZhangLWet al.Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method. Eng Anal Bound Elem2015; 56: 90–97.
6.
ZhangYZhangLWLiewKMet al.Nonlocal continuum model for large deformation analysis of SLGSs using the kp-Ritz element-free method. Int J Non-Linear Mech2016; 79: 1–9.
7.
ZhangYZhangLWLiewKMet al.Free vibration analysis of bilayer graphene sheets subjected to in-plane magnetic fields. Compos Struct2016; 144: 86–95.
8.
ZhangYZhangLWLiewKMet al.Buckling analysis of graphene sheets embedded in an elastic medium based on the kp-Ritz method and non-local elasticity theory. Eng Anal Bound Elem2016; 70: 31–39.
9.
ZhangLWZhangYLiewKM. Vibration analysis of quadrilateral graphene sheets subjected to an in-plane magnetic field based on nonlocal elasticity theory. Compos Part B2017; 118: 96–103.
10.
ZhangLWZhangYLiewKM. Modeling of nonlinear vibration of graphene sheets using a meshfree method based on nonlocal elasticity theory. Appl Math Modell2017; 49: 691–704.
11.
FerreiraAJMBarbosaJT. Buckling behaviour of composite shells. Compos Struct2000; 50: 93–98.
12.
OhIKLeeI. Thermal snapping and vibration characteristics of cylindrical composite panels using layerwise theory. Compos Struct2001; 51: 49–61.
13.
CederbaumGTouatiD. Postbuckling analysis of imperfect non-linear viscoelastic cylindrical panels. Int J Non-Linear Mech2002; 37: 757–762.
14.
ShenHS. Postbuckling analysis of axially loaded functionally graded cylindrical panels in thermal environments. Int J Solids Struct2002; 39: 5991–6010.
15.
ShenHSLeungAYT. Postbuckling of pressure-loaded functionally graded cylindrical panels in thermal environments. Eng Mech2003; 129: 414–425.
16.
YangJLiewKMWuYFet al.Thermo-mechanical post-buckling of FGM cylindrical panels with temperature-dependent properties. Int J Solid Struct2006; 43: 307–324.
17.
GirishJRamachandraLS. Thermomechanical postbuckling analysis of cross-ply laminated cylindrical shell panels. J Eng Mech2006; 132: 33–140.
18.
KunduCKHanJH. Vibration characteristics and snapping behavior of hygro-thermo-elastic composite doubly curved shells. Compos Struct2009; 91: 306–317.
19.
DucNDTungHV. Nonlinear response of pressure-loaded functionally graded cylindrical panels with temperature effects. Compos Struct2010; 92: 1664–1672.
20.
LiewKMZhaoXLeeYY. Postbuckling responses of functionally graded cylindrical shells under axial compression and thermal loads. Compos Part B2012; 43: 1621–1630.
21.
ZhouYStanciulescuIEasonTet al.Nonlinear elastic buckling and postbuckling analysis of cylindrical panels. Finite Elem Anal Des2015; 96: 41–50.
22.
ShenHSWangH. Nonlinear bending and postbuckling of FGM cylindrical panels subjected to combined loadings and resting on elastic foundations in thermal environments. Compos Part B2015; 78: 202–213.
23.
DungDVDongDT. Post-buckling analysis of functionally graded doubly curved shallow shells reinforced by FGM stiffeners with temperature-dependent material and stiffener properties based on TSDT. Mech Res Commun2016; 78: 28–41.
24.
ShokriehMMParkestaniAN. Post buckling analysis of shallow composite shells based on the third order shear deformation theory. Aerosp Sci Technol2017; 66: 332–341.
25.
CasadeiPNanniAAlkhrdajiT. Steel-reinforced polymer: An innovative and promising material for strengthening infrastructures. Concr Eng Int2005; 9: 54–56.
26.
ChooCCPeirisAHarikIE. Repair using steel fiber reinforced polymer on US 150 bridges. Kentucky Transportation Center Research Report2013.
27.
BorriACasadeiPCastoriGet al.Strengthening of brick masonry arches with externally bonded steel reinforced composites. J Compos Constr2009; 13: 468–475.
BirmanVChandrashekharaKSainS. An approach to optimization of shape memory alloy hybrid composite plates subjected to low-velocity impact. Compos Part B Eng1996; 27: 439–446.
30.
BirmanV. Enhancement of stability of composite plates using shape memory alloy supports. AIAA J2007; 45: 2584–2588.
31.
BirmanV. Shape memory elastic foundation and supports for passive vibration control of composite plates. Int J Solids Struct2008; 45: 320–335.
32.
PelletierJLVelSS. An exact solution for the steady-state thermoelastic response of functionally graded orthotropic cylindrical shells. Int J Solid Struct2006; 43: 1131–1158.
33.
ChenWQBianZGDingHJ. Three-dimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells. Int J Mech Sci2004; 46: 159–171.
34.
AsemiKShariyatM. Highly accurate nonlinear three-dimensional finite element elasticity approach for biaxial buckling of rectangular anisotropic FGM plates with general orthotropy directions. Compos Struct2013; 106: 235–249.
35.
ShariyatMAsemiK. Three-dimensional non-linear elasticity-based 3D cubic B-spline finite element shear buckling analysis of rectangular orthotropic FGM plates surrounded by elastic foundations. Compos Part B2014; 56: 934–947.
36.
MansouriMHShariyatM. Thermal buckling predictions of three types of high-order theories for the heterogeneous orthotropic plates, using the new version of DQM. Compos Struct2014; 113: 40–55.
37.
MansouriMHShariyatM. Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations. Compos Part B2015; 83: 88–104.
38.
MansouriMHShariyatM. Differential quadrature thermal buckling analysis of general quadrilateral orthotropic auxetic FGM plates on elastic foundations. Thin-Wall Struct2017; 112: 194–207.
39.
AsemiKShariyatM. Three-dimensional biaxial post-buckling analysis of heterogeneous auxetic rectangular plates on elastic foundations by new criteria. Comput Method Appl Mech Eng2016; 302: 1–26.
40.
SofiyevAH. Vibration and stability of composite cylindrical shells containing a FG layer subjected to various loads. Struct Eng Mech2007; 27: 365–391.
SofiyevAHHuiDHaciyevVCet al.The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory. Compos Part B: Eng2017; 116: 170–185.
43.
ChawlaKK. Composite materials: science and engineering, New York: Springer Science & Business Media, 2012.
44.
ShariyatM. Nonlinear transient stress and wave propagation analyses of the FGM thick cylinders, employing a unified generalized thermoelasticity theory. Int J Mech Sci2012; 65: 24–37.
45.
NiknamiAShariyatM. Refined constitutive, bridging, and contact laws for including effects of the impact-induced temperature rise in impact responses of composite plates with embedded SMA wires. Thin-Wall Struct2016; 106: 166–178.
46.
ShariyatMHosseiniSH. Accurate eccentric impact analysis of the preloaded SMA composite plates, based on a novel mixed-order hyperbolic global–local theory. Compos Struct2015; 124: 140–151.
47.
TornabeneFBacciocchiMFantuzziNet al.Multiscale approach for three-phase CNT/Polymer/Fiber laminated nanocomposite structures. Polym Compos. Epub ahead of print 8 August 2017. DOI: 10.1002/pc.24520.
48.
LeissaAW. Vibration of shells, Washington: NASA, 1973.
49.
TornabeneFFantuzziN. Mechanics of laminated composite doubly-curved shell structures, Italy: Società Editrice Esculapio, 2014.
50.
EslamiMRShariyatM. A higher order theory for dynamic buckling and postbuckling analysis of laminated cylindrical shells. Trans ASME J Pressure Vessel Technol1999; 121: 94–102.
51.
ShariyatMEslamiMR. On thermal dynamic buckling analysis of imperfect laminated cylindrical shells. ZAMM2000; 80: 171–182.
52.
HuangHC. Static and dynamic analyses of plates and shells, London: Springer, 1989.
53.
ShariyatMKhaliliSMRRajabiI. A global–local theory with stress recovery and a new post-processing technique for stress analysis of asymmetric orthotropic sandwich plates with single/dual cores. Comput Method Appl Mech Eng2015; 286: 192–215.
54.
CrisfieldMA. A fast incremental/iterative solution procedure that handles “snap-through.”. Comput Struct1981; 13: 55–62.
55.
ShariyatMAsemiK. 3D energy-based finite element elasticity approach for shear postbuckling analysis of functionally graded plates on elastic foundations. Compos Struct2016; 152: 579–591.
56.
ShariyatMAsemiK. Uniaxial and biaxial post-buckling behaviors of longitudinally graded rectangular plates on elastic foundations according to the 3D theory of elasticity. Compos Struct2016; 142: 57–70.
57.
FafardMMassicotteB. Geometrical interpolation of the arc-length method. Comput Struct1993; 46: 603–6I5.
58.
LockACSabirABAlgorithm for large deflection geometrically nonlinear plane and curved structures. In: JRWhiteman (ed). The mathematics of finite elements and applications, New York: Academic Press, 1972, pp. 483–494.
59.
SabirABDjoudiMS. Shallow shell finite element for the large deflection geometrically nonlinear analysis of shells and plates. Thin-Wall Struct1995; 21: 253–267.
60.
KunduCKSinhaPK. Post buckling analysis of laminated composite shells. Compos Struct2007; 78: 316–324.
61.
OliverJOnateE. A total Lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two‐dimensional problems: Shell and plate structures. Int J Numer Methods Eng1984; 20: 2253–2281.
62.
SaigalSKapaniaRKYangTY. Geometrically nonlinear finite element analysis of imperfect laminated shells. J Compos Mater1986; 20: 197–214.
63.
KimKVoyiadjisGZ. Non-linear finite element analysis of composite panels. Compos Part B Eng1999; 30: 365–381.
64.
Durai PrabhakaranRTAndersenTLBechJIet al.Investigation of mechanical properties of unidirectional steel fiber/polyester composites: Experiments and micromechanical predictions. Polym Compos2016; 37: 627–644.
65.
Yang SH and Sun CT. Indentation law for composite laminates. In: ASTM 6th conference on composite materials: Testing and design. West Lafayette, Indiana: ASTM International, 1982.
66.
ReddyJN. Mechanics of laminated composite plates and shells: theory and analysis, Boca Raton, Florida: CRC Press, 2004.
