Browse > Article
http://dx.doi.org/10.12989/anr.2019.7.3.181

Multiscale modeling approach for thermal buckling analysis of nanocomposite curved structure  

Mehar, Kulmani (Department of Mechanical Engineering, Madanapalle Institute of Technology & Science)
Panda, Subrata Kumar (Department of Mechanical Engineering, National Institute of Technology Rourkela)
Publication Information
Advances in nano research / v.7, no.3, 2019 , pp. 181-190 More about this Journal
Abstract
The thermal buckling temperature values of the graded carbon nanotube reinforced composite shell structure is explored using higher-order mid-plane kinematics and multiscale constituent modeling under two different thermal fields. The critical values of buckling temperature including the effect of in-plane thermal loading are computed numerically by minimizing the final energy expression through a linear isoparametric finite element technique. The governing equation of the multiscale nanocomposite is derived via the variational principle including the geometrical distortion through Green-Lagrange strain. Additionally, the model includes different grading patterns of nanotube through the panel thickness to improve the structural strength. The reliability and accuracy of the developed finite element model are varified by comparison and convergence studies. Finally, the applicability of present developed model was highlight by enlighten several numerical examples for various type shell geometries and design parameters.
Keywords
thermal buckling; FG-CNT; HSDT; thermal load; FEM; micromechanical model;
Citations & Related Records
Times Cited By KSCI : 10  (Citation Analysis)
연도 인용수 순위
1 Mehar, K. and Panda, S.K. (2018b), "Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure", Struct. Eng. Mech., Int. J., 67(6), 565-578. DOI: 10.12989/sem.2018.67.6.565   DOI
2 Mehar, K. and Panda, S.K. (2018c), "Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method", Polym. Compos., 39, 2751-2764. DOI: 10.1002/pc.24266   DOI
3 Mehar, K. and Panda, S.K. (2018d), "Thermoelastic flexural analysis of FG-CNT doubly curved shell panel", Aircr. Eng. Aerosp. Technol., 90, 11-23. DOI: 10.1108/AEAT-11-2015-0237.R2   DOI
4 Amabili, M. and Tajahmadi, M.R.S. (2012), "Thermal post-buckling of laminated and isotropic rectangular plates with fixed edges: Comparison of experimental and numerical results", Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., 226, 2393-2401. DOI: 10.1177/0954406211434496   DOI
5 Ansari, R. and Torabi, J. (2016), "Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading", Compos. Part B Eng., 95, 196-208. DOI: 10.1016/j.compositesb.2016.03.080   DOI
6 Farzam, A. and Hassani, B. (2018), "Thermal and mechanical buckling analysis of FG carbon nanotube reinforced composite plates using modified couple stress theory and isogeometric approach", Compos. Struct., 206, 774-790.   DOI
7 Cook, R.D., Malkus, D.S., Plesha, M.E. and Witt, R.J. (2009), Concepts and Applications of Finite Element Analysis, Fourth edi, John Wiley & Sons Pvt. Ltd., Singapore.
8 Draiche, K., Tounsi, A. and Khalfi, Y. (2014), "A trigonometric four variable plate theory for free vibration of rectangular composite plates with patch mass", Steel Compos. Struct., Int. J., 17(1), 69-81. DOI: 10.12989/scs.2014.17.1.069   DOI
9 Duc, N.D., Cong, P.H. and Tuan, N.D. (2017), "Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations", Thin-Wall. Struct., 115, 300-310. DOI: 10.1016/j.tws.2017.02.016   DOI
10 Fantuzzi, N., Tornabene, F., Bacciocchi, M. and Dimitri, R. (2017), "Free vibration analysis of arbitrarily shaped functionally graded carbon nanotube-reinforced plates", Compos. Part B Eng., 115, 384-408. DOI: 10.1016/j.compositesb.2016.09.021   DOI
11 Fazzolari, F.A. (2015), "Natural frequencies and critical temperatures of functionally graded sandwich plates subjected to uniform and non-uniform temperature distributions", Compos. Struct., 121, 197-210. DOI: 10.1016/j.compstruct.2014.10.039   DOI
12 Hajmohammad, M.H., Zarei, M.S., Nouri, A. and Kolahchi, R. (2017), "Dynamic buckling of sensor/functionally graded-carbon nanotube-reinforced laminated plates/actuator based on sinusoidal-visco-piezoelasticity theories", J. Sandw. Struct. Mater., 109963621772037. DOI: 10.1177/1099636217720373   DOI
13 Moradi-Dastjerdi, R., Pourasghar, A., Foroutan, M. and Bidram, M. (2014), "Vibration analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube based on mesh-free method", J. Compos. Mater., 48, 1901-1913. DOI: 10.1177/0021998313491617   DOI
14 Mehar, K., Panda, S.K., Devarajan, Y. and Choubey, G. (2019), "Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading", Compos. Struct. DOI: https://doi.org/10.1016/j.compstruct.2019.03.002   DOI
15 Mehrabadi, S.J., Aragh, B.S., Khoshkhahesh, V. and Taherpour, A. (2012), "Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes", Compos, Part B Eng., 43, 2031-2040. DOI: 10.1016/j.compositesb.2012.01.067   DOI
16 Mirzaei, M. and Kiani, Y. (2016), "Thermal buckling of temperature dependent FG-CNT reinforced composite plates", Meccanica, 51, 2185-2201. DOI: 10.1007/s11012-015-0348-0   DOI
17 Arani, A.G. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concr., 17, 567-578. DOI: 10.12989/cac.2016.17.5.567   DOI
18 Yang, J., Ke, L.L. and Feng, C. (2015), "Dynamic buckling of thermo-electro-mechanically loaded FG-CNTRC beams", Int. J. Struct. Stab. Dyn., 15, 1-17. DOI: 10.1142/S0219455415400179   DOI
19 Zenkour, A.M. (2005), "A comprehensive analysis of functionally graded sandwich plates: Part 2-Buckling and free vibration", Int J. Solids Struct., 42, 5243-5258. DOI: 10.1016/j.ijsolstr.2005.02.016   DOI
20 Ansari, R., Torabi, J. and Shojaei, M.F. (2017), "Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading", Compos. Part B Eng., 109, 197-213. DOI: 10.1016/j.compositesb.2016.10.050   DOI
21 Arani, A.G., Kolahchi, R. and Vossough, H. (2012), "Buckling analysis and smart control of SLGS using elastically coupled PVDF nanoplate based on the nonlocal Mindlin plate theory", Phys. B Condens Matter, 407, 4458-4465. DOI: 10.1016/j.physb.2012.07.046   DOI
22 Rafiee, M., Yang, J. and Kitipornchai, S. (2013), "Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams", Comput. Math. Appl., 66(7), 1147-1160.   DOI
23 Moradi-dastjerdi, R., Malek-mohammadi, H. and Mohammadi, H.M. (2017), "Free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by carbon nanotube", Mech. Adv. Compos. Struct., 4, 59-73. DOI: 10.22075/MACS.2016.496   DOI
24 Nejati, M., Dimitri, R., Tornabene, F. and Hossein Yas, M. (2017), "Thermal buckling of nanocomposite stiffened cylindrical shells reinforced by functionally graded wavy carbon nanotubes with temperature-dependent properties", Appl. Sci., 7(12), 1223.   DOI
25 Pandya, B.N. and Kant, T. (1988), "Finite element analysis of laminated composite plates using a higher-order displacement model", Compos. Sci. Technol., 32, 137-155. DOI: 10.1016/0266-3538(88)90003-6   DOI
26 Arani, A.G., Jafari, G.S. and Kolahchi, R. (2017), "Nonlinear vibration analysis of viscoelastic micro nano-composite sandwich plates integrated with sensor and actuator", Microsyst. Technol., 23, 1509-1535. DOI: 10.1007/s00542-016-3095-9   DOI
27 Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015a), "An element-free IMLS-Ritz framework for buckling analysis of FG-CNT reinforced composite thick plates resting on Winkler foundations", Eng. Anal. Bound Elem., 58, 7-17. DOI: 10.1016/j.enganabound.2015.03.004   DOI
28 Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015b), "Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach", Compos. Part B Eng., 75, 36-46. DOI: 10.1016/j.compositesb.2015.01.033   DOI
29 Zidour, M., Daouadji, T.H., Benrahou, K.H., Tounsi, A., Bedia, E.A.A. and Hadji, L. (2014), "Buckling analysis of chiral single-walled carbon nanotubes by using the nonlocal Timoshenko beam theory", Mech. Compos. Mater., 50, 95-104. DOI: 10.1007/s11029-014-9396-0   DOI
30 Arani, A.G., Abdollahian, M., Kolahchi, R. and Rahmati, A.H. (2013), "Electro-thermo-torsional buckling of an embedded armchair DWBNNT using nonlocal shear deformable shell mode", Compos. Part B Eng., 51, 291-299. DOI: 10.1016/J.COMPOSITESB.2013.03.017   DOI
31 Baiz, P.M. and Aliabadi, M.H. (2007), "Buckling analysis of shear deformable shallow shells by the boundary element method", Eng. Anal. Bound Elem., 31, 361-372. DOI: 10.1016/j.enganabound.2006.07.008.   DOI
32 Bakora, A. and Tounsi, A. (2015), "Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations", Struct. Eng. Mech., Int. J., 56(1), 85-106. DOI: 10.12989/sem.2015.56.1.085   DOI
33 Kiani, Y., Dimitri, R. and Tornabene, F. (2018), "Free vibration study of composite conical panels reinforced with FG-CNTs", Eng. Struct., 172, 472-482. DOI: 10.1016/j.engstruct.2018.06.006   DOI
34 Hamidi, A., Houari, M.S.A., Mahmoud, S.R.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., Int. J., 18(1), 235-253. DOI: 10.12989/scs.2015.18.1.235   DOI
35 Han, Q., Wang, Z., Nash, D.H. and Liu, P. (2017), "Thermal buckling analysis of cylindrical shell with functionally graded material coating", Compos. Struct., 181, 171-182.   DOI
36 Kiani, Y. (2017), "Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading", Acta Mech., 228, 1303-1319. DOI: 10.1007/s00707-016-1781-4   DOI
37 Kolahchi, R. (2017), "A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods", Aerosp. Sci. Technol., 66, 235-248. DOI: 10.1016/j.ast.2017.03.016   DOI
38 Kolahchi, R. and Cheraghbak, A. (2017), "Agglomeration effects on the dynamic buckling of viscoelastic microplates reinforced with SWCNTs using Bolotin method", Nonlinear Dyn., 90, 479-492. DOI: 10.1007/s11071-017-3676-x   DOI
39 Kolahchi, R., Bidgoli, M.R., Beygipoor, G. and Fakhar, M.H. (2015), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Technol., 29, 3669-3677. DOI: 10.1007/s12206-015-0811-9   DOI
40 Rafiee, M., Nitzsche, F. and Labrosse, M.R. (2018), "Modeling and mechanical analysis of multiscale fiber-reinforced graphene composites: Nonlinear bending, thermal post-buckling and large amplitude vibration", Int. J. Non-Linear Mech., 103, 104-112.   DOI
41 Reddy, B.S., Kumar, J.S., Reddy, C.E. and Reddy, K. (2013), "Buckling analysis of functionally graded material plates using higher order shear deformation theory", J. Compos.
42 Sharma, N., Mahapatra, T.R., Panda, S.K. and Mehar, K. (2018), "Evaluation of vibroacoustic responses of laminated composite sandwich structure using higher-order finite-boundary element model", Steel Compos. Struct., Int. J., 28(5), 629-639. DOI: 10.12989/scs.2018.28.5.629   DOI
43 Shen, H.S. and Zhang, C.L. (2010), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates", Mater. Des., 31, 3403-3411. DOI: 10.1016/j.matdes.2010.01.048   DOI
44 Barzoki, A.A.M., Arani, A.G., Kolahchi, R. and Mozdianfard, M.R. (2012), "Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core", Appl. Math. Model., 36, 2983-2995. DOI: 10.1016/J.APM.2011.09.093   DOI
45 Baseri, V., Jafari, G.S. and Kolahchi, R. (2016), "Analytical solution for buckling of embedded laminated plates based on higher order shear deformation plate theory", Steel Compos. Struct., Int. J., 21, 883-919. DOI: 10.12989/scs.2016.21.4.883   DOI
46 Kolahchi, R., Zarei, M.S., Hajmohammad, M.H., Oskouei, A.N. (2017), "Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin-Wall. Struct., 113, 162-169. DOI: 10.1016/j.tws.2017.01.016   DOI
47 Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos Struct, 91,9-19, doi: 10.1016/j.compstruct.2009.04.026.   DOI
48 Shen, H.S. (2011), "Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells", Compos Struct, 93,2096-2108, doi: 10.1016/j.compstruct.2011.02.011.   DOI
49 Shen, H.S. (2012), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells", Compos. Part B Eng., 43, 1030-1038. DOI: 10.1016/j.compositesb.2011.10.004   DOI
50 Shen, H.S. and Xiang, Y. (2013), "Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments", Eng. Struct., 56, 698-708. DOI: 10.1016/j.engstruct.2013.06.002   DOI
51 Bouhadra, A., Benyoucef, S. and Tounsi, A. (2015), "Thermal buckling response of functionally graded plates with clamped boundary conditions", J. Therm. Stress, 38, 630-650. DOI: 10.1080/01495739.2015.1015900   DOI
52 Berrabah, H.M., Tounsi, A., Semmah, A. and Bedia, E.A.A. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., Int. J., 48(3), 351-365. DOI: 10.12989/sem.2013.48.3.351   DOI
53 Bouadi, A., Bousahla, A.A., Houari, M.S.A., Heireche, H. and Tounsi, A. (2018), "A new nonlocal HSDT for analysis of stability of single layer graphene sheet", Adv. Nano Res., Int. J., 6(2), 147-162. DOI: 10.12989/anr.2018.6.2.147   DOI
54 Bouguenina, O., Belakhdar, K., Tounsi, A. and Bedia, E.A.A. (2015), "Numerical analysis of FGM plates with variable thickness subjected to thermal buckling", Steel Compos. Struct., Int. J., 19(3), 679-695. DOI: 10.12989/scs.2015.19.3.679   DOI
55 Brighenti, R. (2005a), "Numerical buckling analysis of compressed or tensioned cracked thin plates", Eng. Struct., 27, 265-276. DOI: 10.1016/j.engstruct.2004.10.006   DOI
56 Brighenti, R. (2005b), "Buckling of cracked thin-plates under tension or compression", Thin-Wall. Struct., 43, 209-224. DOI: 10.1016/j.tws.2004.07.006   DOI
57 Mayandi, K. and Jeyaraj, P. (2015), "Bending, buckling and free vibration characteristics of FG-CNT polymer composite beam under non-uniform thermal load", J. Mater. Des. Appl., 229, 13-28. DOI: 10.1177/1464420713493720   DOI
58 Lei, Z.X., Zhang, L.W. and Liew, K.M. (2015), "Buckling of FG-CNT reinforced composite thick skew plates resting on Pasternak foundations based on an element-free approach", Appl. Math. Comput., 266, 773-791. DOI: 10.1016/j.amc.2015.06.002   DOI
59 Maghamikia, S. and Jam, J.E. (2011), "Buckling analysis of circular and annular composite plates reinforced with carbon nanotubes using FEM", J. Mech. Sci. Technol., 25, 2805-2810. DOI: 10.1007/s12206-011-0738-8   DOI
60 Mahapatra, T.R., Mehar, K., Panda, S.K., Dewangan, S. and Dash, S. (2017), "flexural strength of functionally graded nanotube reinforced sandwich spherical panel", Proceeding of IOP Conference Series: Materials Science and Engineering, 178, 012031.   DOI
61 Mehar, K. and Panda, S.K. (2018a), "Elastic bending and stress analysis of carbon nanotube-reinforced composite plate: Experimental, numerical, and simulation", Adv. Polym. Technol., 37, 1643-1657. DOI: 10.1002/adv.21821   DOI
62 Tohidi, H., Hosseini-Hashemi, S.H. and Maghsoudpour, A. (2017), "Nonlinear size-dependent dynamic buckling analysis of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory", Microsyst. Technol., 23, 5727-5744. DOI: 10.1007/s00542-017-3407-8   DOI
63 Shen, H.S. and Zhu, Z.H. (2010), "Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments", C. Comput. Mater. Contin., 18, 155-182.
64 Swaminathan, K., Naveenkumar, D.T., Zenkour, A.M. and Carrera, E. (2015), "Stress, vibration and buckling analyses of FGM plates-A state-of-the-art review", Compos. Struct., 120, 10-31.   DOI
65 Szekrenyes, A. (2012), "Interlaminar stresses and energy release rates in delaminated orthotropic composite plates", Int. J. Solids Struct., 49, 2460-2470. DOI: 10.1016/j.ijsolstr.2012.05.010   DOI
66 Szekrenyes, A. (2014), "Analysis of classical and first-order shear deformable cracked orthotropic plates", J. Compos. Mater., 48, 1441-1457. DOI: 10.1177/0021998313487756   DOI
67 Togun, N. (2016), "Nonlinear vibration of nanobeam with attached mass at the free end via nonlocal elasticity theory", Microsyst. Technol., 22, 2361-2362. DOI: 10.1007/s00542-016-3082-1   DOI
68 Torabi, J., Ansari, R. and Hassani, R. (2019), "Numerical study on the thermal buckling analysis of CNT-reinforced composite plates with different shapes based on the higher-order shear deformation theory", Eur. J. Mech.-A/Solids, 73, 144-160.   DOI
69 Tornabene, F., Bacciocchi, M., Fantuzzi, N. and Reddy, J.N. (2017), "Multiscale approach for three-phase CNT/polymer/fiber laminated nanocomposite structures", Polym. Compos., 16, 101-113. DOI: 10.1002/pc.24520