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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access June 14, 2017

Bending analysis of laminated SWCNT Reinforced functionally graded plate Using FEM

  • Shivaji G. Chavan EMAIL logo and Achchhe Lal


In this paper presents bending characteristic of multi-layered carbon nanotube reinforced functionally graded composite plates. The finite element implementation of bending analysis of laminated composite plate via well-established higher order shear deformation theory(HSDT). A seven degree of freedom and C0 continuity finite element model using nine noded isoperimetric elements is developed for precise computation of ply-by-ply deflection and stresses of laminated Single Wall Carbon Nanotube Reinforced composite plate subjected to uniform transverse loading. The finite element implementation is carried out through a finite element code developed in MATLAB.The results obtained by present approach are compared with results available in the literatures. The effective material properties of the laminated SWCNTRC plate are used by Mori-Tanaka method.Numerical results have been obtained with different parameters, width-to-thickness ratio(a/h), stress distribution profile along thickness direction,different SWCNTRC-FG plate, boundary condition and various lamination schemes.


[1] Salami Jedari S., Extended high order sandwich panel theory forbending analysis of sandwich beams with carbon nanotube reinforcedface sheets, Physica-E 2016, 76, 187-19710.1016/j.physe.2015.10.015Search in Google Scholar

[2] Wuite J., Adali S., Deflection and stress behavior of nano compositereinforced beam using a multi-scale analysis, CompositeStructures, 2005, 71, 388-396.10.1016/j.compstruct.2005.09.011Search in Google Scholar

[3] Vodenitcharova T, Zhang L.C., Bending and local buckling of ananocomposite beam reinforced by a single walled carbon nanotube.Int J Solids and Struct, 2006, 43, 3006-3024.10.1016/j.ijsolstr.2005.05.014Search in Google Scholar

[4] Malekzadeh P., Shojaee M.., Buckling analysis of quadrilaterallaminated plates with carbon nanotubes reinforced compositelayers, Thin-Walled Structures, 2013, 71, 108-11810.1016/j.tws.2013.05.008Search in Google Scholar

[5] Wattanasakulpong Nuttawit, Chaikittiratana Arisara, Exact solution for static and dynamic analysis of carbon nanotube-reinforced composite plate with Pasternak elastic foundation, Applied Mathematical Modeling, 2015, 39, 5459-547210.1016/j.apm.2014.12.058Search in Google Scholar

[6] Lei Z.X., liew K.M, Yu J.L., Large deflection analysis of functionally graded carbon nanotube reinforced composite plates by the element free kp-ritz method, Computational Methods Applied Mechanics And Engineering, 2013, 256, 189-199.10.1016/j.cma.2012.12.007Search in Google Scholar

[7] Lei Z.X., Zhang L.W., Liew K.M., Analysis of laminated CNT reinforced functionally graded plates using the element-free kp-ritz method, Composites Part-B, 2016, 84, 211-221.10.1016/j.compositesb.2015.08.081Search in Google Scholar

[8] Zhu P., Lei Z.X., liew K.M., Static and dynamic analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory ,Composite Structures, 2012, 94, 1450-1460.10.1016/j.compstruct.2011.11.010Search in Google Scholar

[9] Mudhu S., Subba Rao V.V., Effect of carbon nanotube reinforcement in polymer composite plates under static loading ,International Journal Of Chemical, Molecular, Nuclear,Materials And Metallurgical Engineering, 2014, 8(3).Search in Google Scholar

[10] Mohammadpour Ehsan, Awing Mokhtar, Kakooei Saeid, Akil Hazizan Md, Modeling the tensile stress-strain response of carbon nanotube /polypropylene, nano composite using nonlinear representative volumeelement,Materials and Design, 2014, 58, 36-42.10.1016/j.matdes.2014.01.007Search in Google Scholar

[11] Seidel Gary D., Lagoudas dimitris., Micromechanical analysis of the effective elastic property of carbon nanotube reinforced composites, Mechanics Of Materials, 2006, 38, 884-90710.1016/j.mechmat.2005.06.029Search in Google Scholar

[12] Hu Hurang, onyebueke Landon, Abatan Ayo, Characterizing and modeling mechanical properties of nanocomposites review and evaluation, Journal Of Minerals And Materials Characterization And Engineering, 2010, 9(4), 275-319.10.4236/jmmce.2010.94022Search in Google Scholar

[13] Shi Dong-Li, Feng Xi-Qiao,Yonggang Huang Y., Hwang Keh-Chih, Gao Huajian., The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube reinforced composites, Transactions of the ASME, july 2004, 2(16), 25010.1115/1.1751182Search in Google Scholar

[14] Ghugal Yuwaraj M., Sayyad Atteshamuddin S., Stress analysis of thick laminated plates using trigonometric shear deformation theory, International Journal Of Applied Mechanics, 2013, 5(1), 2310.1142/S1758825113500038Search in Google Scholar

[15] Sayyad S., Ghugal Y. M., Effect of stress concentration on laminated plates, Journal of Mechanics, 2012, 29(02), 241-252.10.1017/jmech.2012.131Search in Google Scholar

[16] Mareishi Soraya, Kalhori Hamed, Rafiee Mohammad, and Hosseini Seyedeh Marzieh, Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations, Curved and Layer. Struct., 2015, 2, 150-16110.1515/cls-2015-0008Search in Google Scholar

[17] Kundalwal S. I. , Meguid S. A., Effect of carbon nanotube waviness on active damping of laminated hybrid composite shells, Acta Mech, 2015, 226, 2035-2052.10.1007/s00707-014-1297-8Search in Google Scholar

[18] Pouresmaeeli S., Fazelzadeh S. A., Frequency analysis of doubly curved functionally graded carbon nanotube-reinforced composite panels, Acta Mech 2016, 227, 2765-279410.1007/s00707-016-1647-9Search in Google Scholar

[19] Guz A. N., Rushchitsky J. J., Analysis of structurally complex Nano-composites (review), International Applied Mechanics, 2011, 47(4), 3-75.10.1007/s10778-011-0466-xSearch in Google Scholar

[20] Pantano A., Cappello F., Numerical model for composite material with polymer matrix reinforced by carbon nanotubes, Meccanica, 2008, 43, 263-270.10.1007/s11012-008-9121-ySearch in Google Scholar

[21] Wan H., Delale F., A structural mechanics approach for predicting the mechanical properties of carbon nanotubes, Meccanica, 2010, 45, 43-51.10.1007/s11012-009-9222-2Search in Google Scholar

[22] Cestari Clara Bertolini., Invernizzi Stefano,Marzi Tanja., Tulliani Jean-Marc., The reinforcement of ancient timber-joints with carbon nano-composites, Meccanica, 2013, 48, 1925-193510.1007/s11012-013-9735-6Search in Google Scholar

[23] Kiani Keivan., Free vibrations of elastically embedded stocky single-walled carbon nanotubes acted upon by a longitudinally varying magnetic field, Meccanica, 2015, 50, 3041-306710.1007/s11012-015-0184-2Search in Google Scholar

[24] Mirzaei M., Kiani Y., Thermal buckling of temperature dependent FG-CNT reinforced composite plates, Meccanica, 2016, 51, 2185-2201.10.1007/s11012-015-0348-0Search in Google Scholar

[25] Canadija Marko., Brcic Marino., Brnic Josip., Elastic properties of nanocomposite materials: influence of carbon nanotube imperfections and interface bonding, Meccanica, DOI 10.1007/s11012-016-0516-x.Search in Google Scholar

[26] Kamarian S., Pourasghar A., Yas M. H., Eshelby-Mori-Tanaka approach for vibrational behavior of functionally graded carbon nanotube-reinforced plate resting on elastic foundation, Journal of Mechanical Science and Technology, 2013, 27 (11), 3395-3401.10.1007/s12206-013-0861-9Search in Google Scholar

[27] Shams Sh., Soltani B., Buckling of Laminated Carbon Nanotube-Reinforced Composite Plates on Elastic Foundations Using a Meshfree Method, Arab J Sci Eng, 2016, 41, 1981-1993.10.1007/s13369-016-2051-4Search in Google Scholar

[28] Han Y., Elliott J., Molecular dynamics simulations of the elastic properties of polymer/carbon Nanotube composites, Comput. Mater. Sci., 2007, 39, 315-323.10.1016/j.commatsci.2006.06.011Search in Google Scholar

[29] Zhang L.W., Lei ZX, Liew KM, Yu J.L. Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels, Composite Structure, 2014, 111, 205-212.10.1016/j.compstruct.2013.12.035Search in Google Scholar

[30] Reddy J.N., A simple higher order theory for laminated composite plates. ASME J Appl Mech, 1984, 51, 745-15210.1115/1.3167719Search in Google Scholar

Received: 2016-11-9
Accepted: 2017-1-20
Published Online: 2017-6-14
Published in Print: 2017-1-26

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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