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http://dx.doi.org/10.12989/anr.2020.8.1.059

Buckling analysis of nano composite sandwich Euler-Bernoulli beam considering porosity distribution on elastic foundation using DQM  

Nejadi, Mohammad Mehdi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Mohammadimehr, Mehdi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Publication Information
Advances in nano research / v.8, no.1, 2020 , pp. 59-68 More about this Journal
Abstract
In the present study, buckling analysis of sandwich composite (carbon nanotube reinforced composite and fiber reinforced composite) Euler-Bernoulli beam in two configurations (core and layers material), three laminates (combination of different angles) and two models (relative thickness of core according to peripheral layers) using differential quadrature method (DQM) is studied. Also, the effects of porosity coefficient and different types of porosity distribution on critical buckling load are discussed. Using sandwich beam, it shows a considerable enhancement in the critical buckling load when compared to ordinary composite. Actually, resistance against buckling in sandwich beam is between two to four times more. It is also showed the critical buckling loads of laminate 1 and 3 are significantly larger than the results of laminate 2. When Configuration 2 is used, the critical buckling load rises about 3 percent in laminate 1 and 3 compared to the results of configuration 1. The amount of enhancement for laminate 3 is about 17 percent. It is also demonstrated that the influence of the core height (thickness) in the case of lower carbon volume fractions is ignorable. Even though, when volume fraction of fiber increases, differences grow smoothly. It should be noticed the amount of decline has inverse relationship with the beam aspect ratio. Among three porosity patterns investigated, beam with the distribution of porosity Type 2 (downward parabolic) has the maximum critical buckling load. At the end, the first three modes of buckling will be demonstrated to investigate the effect of spring constants.
Keywords
nano composite sandwich Euler-Bernoulli beam; buckling analysis; various porosity distributions; DQM;
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Times Cited By KSCI : 15  (Citation Analysis)
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1 Magnucki, K., and Stasiewicz, P. (2004), "Elastic buckling of a porous beam", J. Theor Appl. Mech., 42(4), 859-868.
2 Magnucki, K., Malinowski, M. and Kasprzak, J. (2006), "Bending and buckling of a rectangular porous plate", Steel Compos. Struct., Int. J., 6(4), 319-333. https://doi.org/10.12989/scs.2006.6.4.319   DOI
3 Mohammadi, M., Saidi, A.R. and Jomehzadeh, E. (2010), "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges", Mech. Eng. Sci., 224, 1831-1841. https://doi.org/10.1243/09544062JMES1804   DOI
4 Mohammadimehr, M. and Alimirzaei, S. (2016), "Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM", Struct. Eng. Mech., Int. J., 59(3), 431-454. https://doi.org/10.12989/sem.2016.59.3.431   DOI
5 Mohammadimehr, M. and Mohammadi Hooyeh, H. (2018), "Vibration analysis of magneto-electro-elastic timoshenko micro beam using surface stress effect and modified strain gradient theory under moving nano-particle", J. Solid Mech., 10(1), 1-22.
6 Mohammadimehr, M. and Shahedi, S. (2017), "High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM", Compos. Part B, 108, 91-107. https://doi.org/10.1016/j.compositesb.2016.09.040   DOI
7 Mohammadimehr, M., Saidi, A.R., Arani, A.G., Arefmanesh, A. and Han, Q. (2010), "Torsional buckling of a DWCNT embedded on winkler and pasternak foundations using nonlocal theory", J. Mech. Sci. Technol., 24(6), 1289-1299. https://doi.org/10.1007/s12206-010-0331-6   DOI
8 Mohammadimehr, M., Afshari, H., Salemi, M., Torabi, K. and Mehrabi, M. (2019), "Free vibration and buckling analyses of functionally graded annular thin sector plate in-plane loads using GDQM", Struct. Eng. Mech., Int. J., 71(5), 525-544. https://doi.org/10.12989/sem.2019.71.5.525
9 Mohammadimehr, M., Shahedi, S. and Rousta Navi, B. (2017), "Nonlinear vibration analysis of FG-CNTRC sandwich Timoshenko beam based on modified couple stress theory subjected to longitudinal magnetic field using generalized differential quadrature method", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 231(20), 3866-3885. https://doi.org/10.1177/0954406216653622   DOI
10 Mohammadimehr, M., Okhravi, S.V. and Akhavan Alavi, S.M. (2018), "Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT", J. Vib. Control, 24(8), 1551-1569. https://doi.org/10.1177/1077546316664022   DOI
11 Shariat, B.S. and Eslami, M.R. (2007), "Buckling of thick functionally graded plates under mechanical and thermal loads", Compos. Struct., 78(3), 433-439. https://doi.org/10.1016/j.compstruct.2005.11.001   DOI
12 Montemurro, M., Vincenti, A. and Vannucci, P. (2012), "Design of the elastic properties of laminates with a minimum number of plies", Mech. Compos. Mater., 48(4), 369-390. https://doi.org/10.1007/s11029-012-9284-4   DOI
13 Rostami, R., Mohammadimehr, M. and Rahaghi, M.I. (2019), "Dynamic stability and nonlinear vibration of rotating sandwich cylindrical shell with considering FG core integrated with sensor and actuator", Steel Compos. Struct., Int. J., 32(2), 225-237. https://doi.org/10.12989/scs.2019.32.2.225
14 Shahedi, S. and Mohammadimehr, M. (2019), "Vibration analysis of rotating fully-bonded and delaminated sandwich beam with CNTRC face sheets and AL-foam flexible core in thermal and moisture environments", Mech. Based Des. Struct. Mach., 1-31. https://doi.org/10.1080/15397734.2019.1646661
15 Duc, N.D. (2014), "Nonlinear static and dynamic stability of functionally graded plates and shells", Vietnam National University Press. Hanoi, Vietnam.
16 Chemi, A., Zidour, M., Heireche, H., Rakrak, K. and Bousahla, A.A. (2018), "Critical buckling load of chiral double-walled carbon nanotubes embedded in an elastic medium", Mech. Compos. Mater., 53(6), 827-836. https://doi.org/10.1007/s11029-018-9708-x   DOI
17 Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052   DOI
18 Cong, P.H., Chien, T.M., Khoa, N.D. and Duc, N.D. (2018), "Nonlinear thermo-mechanical buckling and post-buckling response of porous FGM plates using Reddy's HSDT", J. Aerosp. Sci. Technol., 77, 419-428. https://doi.org/10.1016/j.ast.2018.03.020   DOI
19 Duc, N.D. (2016), "Nonlinear thermal dynamic analysis of eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations using the Reddy's third-order shear deformation shell theory", J. Eur. J. Mech. - A/Solids, 58, 10-30. https://doi.org/10.1016/j.euromechsol.2016.01.004   DOI
20 Duc, N.D., Bich, D.H. and Cong, P.H. (2016), "Nonlinear thermal dynamic response of shear deformable FGM plates on elastic foundations", J. Thermal Stresses, 39(3), 278-297.   DOI
21 Duc, N.D., Nguyen, P.D. and Khoa, N.D. (2017a), "Nonlinear dynamic analysis and vibration of eccentrically stiffened S-FGM elliptical cylindrical shells surrounded on elastic foundations in thermal environments", Thin-wall. Struct., 117, 178-189. https://doi.org/10.1016/j.tws.2017.04.013   DOI
22 Shen, H.S. and Zhang, C.L. (2010), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotubereinforced composite plates", Mater. Design, 31(7), 3403-3411. https://doi.org/10.1016/j.matdes.2010.01.048   DOI
23 Sudheer, M., Pradyoth, K.R. and Somayaji, S. (2015), "Analytical and Numerical Validation of Epoxy/Glass Structural Composites for Elastic Models", Am. J. Mater. Sci., 5(3C), 162-168. https://doi.org/10.5923/c.materials.201502.32
24 Tang, H., Li, L. and Hu, Y. (2018), "Buckling analysis of twodirectionally porous beam", Aerosp. Sci. Technol., 78, 471-479. https://doi.org/10.1016/j.ast.2018.04.045   DOI
25 Wu, H., Kitipornchai, S. and Yang, J. (2015), "Free vibration and buckling analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets", Int. J. Str. Stab. Dyn., 15(7), 1540011. https://doi.org/10.1142/S0219455415400118   DOI
26 Duc, N.D., Tuan, N.D., Tran, P. and Quan, T.Q. (2017b), "Nonlinear dynamic response and vibration of imperfect shear deformable functionally graded plates subjected to blast and thermal loads", J. Mech. Adv. Mater. Struct., 24(4), 318-329. https://doi.org/10.1080/15376494.2016.1142024   DOI
27 Tayeb Bensattalah, Khaled Bouakkaz, Mohamed Zidour and Tahar Hassaine Daouadji. (2018), "Critical buckling loads of Carbon nanotube embedded in Kerr's medium", Adv. Nano Res., Int. J., 6(4), 339-356. https://doi.org/10.12989/anr.2018.6.4.339
28 Thostenson, E.T., Ren, Z. and Chou, T.W. (2001), "Advances in the science and technology of carbon nanotubes and their composites: A review", Compos. Sci. Technol., 61(13), 1899-1912. https://doi.org/10.1016/S0266-3538(01)00094-X   DOI
29 Tornabene, F., Fantuzzi, N., Ubertini, F. and Viola, E. (2015), "Strong formulation finite element method based on differential quadrature: a survey", Appl. Mech. Rev., 67(2), 020801. https://doi.org/10.1115/1.4028859   DOI
30 Wattanasakulpong, N. and Ungbhakorn, V. (2013), "Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation", Computat. Mater. Sci., 71, 201-208. https://doi.org/10.1016/j.commatsci.2013.01.028   DOI
31 Ghorbanpour Arani, A., Rousta Navi, B. and Mohammadimehr, M. (2016), "Surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by CNT using various approaches", Adv. Compos. Mater., 25(5), 423-441. https://doi.org/10.1080/09243046.2015.1052189   DOI
32 Duc, N.D., Seung-Eock, K. and Chan, D.Q. (2018a), "Thermal buckling analysis of FGM sandwich truncated conical shells reinforced by FGM stiffeners resting on elastic foundations using FSDT", J. Thermal Stresses, 41(3), 331-365. https://doi.org/10.1080/01495739.2017.1398623   DOI
33 Duc, N.D., Quang, V.D., Nguyen, P.D. and Chien, T.M. (2018b), "Nonlinear dynamic response of FGM porous plates on elastic foundation subjected to thermal and mechanical loads using the first order shear deformation theory", J. Appl. Computat. Mech., 4(4), 245-259. https://doi.org/10.22055/JACM.2018.23219.1151
34 Esawi, A.M. and Farag, M.M. (2007), "Carbon nanotube reinforced composites: Potential and current challenges", Mater. Des., 28(9), 2394-2401. https://doi.org/10.1016/j.matdes.2006.09.022   DOI
35 Gui, X., Li, H., Zhang, L., Jia, Y., Liu, L., Li, Z., Wei, J., Wang, K., Zhu, H., Tang, Z. and Wu, D. (2011), "A facile route to isotropic conductive nanocomposites by direct polymer infiltration of carbon nanotube sponges", ACS Nano, 5, 4276-4283. https://doi.org/10.1021/nn201002d   DOI
36 Hu, N., Fukunaga, H., Lu, C., Kameyama, M. and Yan, B. (2005), "Prediction of elastic properties of carbon nanotube reinforced composites", Proc. Royal Soc. A, 461, 1685-1710. https://doi.org/10.12989/sem.2019.71.5.485   DOI
37 Arani, A.J. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with Carbonnanotubes", Comput. Concrete, Int. J., 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567   DOI
38 Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magnetoelastic bending, buckling and vibration solutions", Struct. Eng. Mech., Int. J., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485
39 Amini, A., Mohammadimehr, M. and Faraji, A.R. (2019), "Active control to reduce the vibration amplitude of the solar honeycomb sandwich panels with CNTRC facesheets using piezoelectric patch sensor and actuator", Steel Compos. Struct., Int. J., 32(5), 671-686. https://doi.org/10.12989/scs.2019.32.5.671
40 Anh, V.T.T., Bich, D.H. and Duc, N.D. (2015), "Nonlinear buckling analysis of thin FGM annular spherical shells on elastic foundations under external pressure and thermal loads", Eur. J. Mech. - A/Solids, 50, 28-38. https://doi.org/10.1016/j.euromechsol.2014.10.004   DOI
41 Barati, M.R. and Zenkour, A.M. (2018), "Analysis of postbuckling behavior of general higher-order functionally graded nanoplates with geometrical imperfection considering porosity distributions", Mech. Adv. Mater. Struct., 26(12), 1081-1088. https://doi.org/10.1080/15376494.2018.1430280   DOI
42 Lanhe, W. (2004), "Thermal buckling of a simply supportedmoderately thick rectangular FGM plate", Compos. Struct., 64, 211-218. https://doi.org/10.1016/j.compstruct.2003.08.004   DOI
43 Jabbari, M., Mojahedin, A., Khorshidvand, A.R. and Eslami, M.R. (2013), "Buckling analysis of a functionally graded thin circular plate made of saturated porous materials", J. Eng. Mech., 140(2), 287-295. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000663   DOI
44 Yas, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite", Int. J. Press. Vessels Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012   DOI
45 Zghal, S., Frikha, A. and Dammak, F. (2017), "Static analysis of functionally graded carbon nanotube-reinforced plate and shell", Compos. Struct., 176, 1107-1123. https://doi.org/10.1016/j.compstruct.2017.06.015   DOI
46 Jabbari, M., Hashemitaheri, M., Mojahedin, A. and Eslami, M.R. (2014), "Thermal buckling analysis of functionally graded thin circular plate made of saturated porous materials", J. Therm. Stresses, 37(2), 202-220. https://doi.org/10.1080/01495739.2013.839768   DOI
47 Jabbari, M., Rezaei, M. and Mojahedin, A. (2016), "Mechanical Buckling of FG Saturated Porous Rectangular Plate with Piezoelectric Actuators", Iran. J. Mech. Eng., 17(2), 45-65.
48 Kobayashi, Y., Nakazawa, H., Maeda, T., Yasuda, Y. and Morita, T. (2017), "Synthesis of metallic copper nanoparticles and metalmetal bonding process using them", Adv. Nano Res., Int. J., 5(4), 359-372. https://doi.org/10.12989/anr.2017.5.4.359
49 Kumar, B.R. (2018), "Investigation on mechanical vibration of double-walled Carbon nanotubeswith inter-tube Van der waals forces", Adv. Nano Res., Int. J., 6(2), 135-145. https://doi.org/10.12989/anr.2018.6.2.135
50 Kumar, P. and Srinivas, J. (2017), "Free vibration, bending and buckling of a FG-CNT reinforced composite beam: Comparative analysis with hybrid laminated composite beam", Multidiscipl. Model. Mater. Struct., 13(4), 590-611. https://doi.org/10.1108/MMMS-05-2017-0032   DOI
51 Low, S. and Shon, Y.S. (2018), "Molecular interactions between pre-formed metal nanoparticles and graphene families", Adv. Nano Res., Int. J., 6(4), 357-375. https://doi.org/10.12989/anr.2018.6.4.357
52 Magnucka-Blandzi, E. (2009), "Dynamic stability of a metal foam circular plate", J. Theor Appl. Mech., 47(2), 421-433.
53 Magnucka-Blandzi, E. (2008), "Axisymmetrical deflection and buckling of circular porous-cellular plate", Thin-wall. Struct., 46, 333-337. https://doi.org/10.1016/j.tws.2007.06.006   DOI