Technical Papers
Nov 30, 2016

Nonlinear Static Behavior of FG-CNT Reinforced Composite Flat Panel under Thermomechanical Load

Publication: Journal of Aerospace Engineering
Volume 30, Issue 3

Abstract

The nonlinear static deflections of a functionally graded carbon nanotube (FG-CNT) reinforced flat composite panel are examined under a uniform thermal environment for different end conditions. The temperature-dependent material properties of the matrix and the fiber (carbon nanotubes) are considered in conjunction with the different gradients of carbon nanotube concentrations through the thickness direction. The mathematical model of the carbon nanotube reinforced flat composite panel is formulated for different types of gradients using the Green-Lagrange geometrical strain in the framework of the shear deformable higher-order kinematic theory. Further, the equilibrium equation of the panel is obtained using the variational method and discretized through the finite-element concept. The nonlinear deflections are worked out numerically using the direct iterative method via a suitable computer code. The validation and the convergence performance of the present numerical results were checked. Finally, the significance and inevitability of such a higher-order nonlinear model for the analysis of gradient carbon nanotube structure are established by solving different numerical examples for various parameters (types of grading, aspect ratios, thickness ratios, volume fractions, thermal field, and end conditions) and discussed in detail.

Get full access to this article

View all available purchase options and get full access to this article.

References

Alibeigloo, A. (2013). “Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity.” Compos. Struct., 95, 612–622.
Alibeigloo, A. (2014). “Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity.” Eur. J. Mech. A/Solids, 44, 104–115.
Alibeigloo, A., and Liew, K. M. (2013). “Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity.” Compos. Struct., 106, 873–881.
Ayatollahia, M. R., Shadlou, S., and Shokrieh, M. M. (2011). “Multiscale modeling for mechanical properties of carbon nanotube reinforced nanocomposites subjected to different types of loading.” Compos. Struct., 93(9), 2250–2259.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2009). Concepts and applications of finite element analysis, 4th Ed., Wiley, Singapore.
Formica, G., Lacarbonara, W., and Alessi, R. (2010). “Vibrations of carbon nanotube-reinforced composites.” J. Sound Vibr., 329(10), 1875–1889.
Gardea, F., and Lagoudas, D. C. (2014). “Characterization of electrical and thermal properties of carbon nanotube/epoxy composites.” Compos. Part B Eng., 56, 611–620.
Han, Y., and Elliott, J. (2007). “Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites.” Comput. Mater. Sci., 39(2), 315–323.
Heshmati, M., and Yas, M. H. (2013). “Free vibration analysis of functionally graded CNT-reinforced nanocomposite beam using Eshelby-Mori-Tanaka approach.” J. Mech. Sci. Technol., 27(11), 3403–3408.
Iijima, S. (1991). “Helical microtubules of graphitic carbon.” Nature, 354(6348), 56–58.
Janghorban, M., and Zare, A. (2011). “Free vibration analysis of functionally graded carbon nanotubes with variable thickness by differential quadrature method.” Phys. E Low-Dimensional Syst. Nanostruct., 43(9), 1602–1604.
Kar, R. V., and Panda, S. K. (2015). “Thermoelastic analysis of functionally graded doubly curved shell panels using nonlinear finite element method.” Compos. Struct., 129, 202–212.
Kerur, S. B., and Ghosh, A. (2011). “Active control of geometrically non-linear transient response of smart laminated composite plate integrated with AFC actuator and PVDF sensor.” J. Intell. Mater. Syst. Struct., 22(11), 1149–1160.
Lei, Z. X., Liew, K. M., and Yu, J. L. (2013a). “Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method.” Compos. Struct., 98, 160–168.
Lei, Z. X., Liew, K. M., and Yu, J. L. (2013b). “Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment.” Compos. Struct., 106, 128–138.
Lei, Z. X., Yu, J. L., and Liew, K. M. (2013c). “Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panels.” Int. J. Mater. Sci. Eng., 1(1), 36–40.
Lei, Z. X., Zhang, L. W., Liew, K. M., and Yu, J. L. (2014). “Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method.” Compos. Struct., 113, 328–338.
Lin, F., and Xiang, Y. (2014). “Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories.” Appl. Math. Model., 38(15–16), 3741–3754.
Liu, Y. J., and Chen, X. L. (2003). “Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element.” Mech. Mater., 35(1–2), 69–81.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mehar, K., and Panda, S. K. (2016). “Thermoelastic analysis of FG-CNT reinforced shear deformable composite plate under various loadings.” Int. J. Comput. Methods, 14(1), .
Mehrabadi, S. J., and Aragh, B. S. (2014). “Stress analysis of functionally graded open cylindrical shell reinforced by agglomerated carbon nanotubes.” Thin-Walled Struct., 80, 130–141.
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(4), 2031–2040.
Panda, S. K., and Singh, B. N. (2010). “Nonlinear free vibration analysis of thermally post-buckled composite spherical shell panel.” Int. J. Mech. Mater. Des., 6(2), 175–188.
Rashidifar, M. A., and Ahmadi, D. (2015). “Vibration analysis of randomly oriented carbon nanotube based on FGM beam using Timoshenko theory.” Adv. Mech. Eng., 7(2), 653950.
Reddy, J. N. (2004). An introduction nonlinear finite element analysis, 2nd Ed., Oxford University Press, Oxford, U.K.
Rokni, H., Milani, A. S., and Seethaler, R. J. (2015). “Size-dependent vibration behaviour of functionally graded CNT-reinforced polymer microcantilevers: Modeling and optimization.” Eur. J. Mech. A-Solid, 49, 26–34.
Shen, H. S. (2009). “Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments.” Compos. Struct., 91(1), 9–19.
Shen, H. S. (2012). “Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells.” Compos. Part B Eng., 43(3), 1030–1038.
Shen, H. S., and Zhang, C. L. (2010). “Thermal buckling and post buckling behaviour of functionally graded carbon nanotube-reinforced composite plates.” Mater Design., 31(7), 3403–3411.
Szekrenyes, A. (2016). “Semi-layerwise analysis of laminated plates with nonsingular delamination-The theorem of autocontinuity.” Appl. Math. Model., 40(2), 1344–1371.
Taj, M. N. A. G., Chakrabarti, A., and Sheikh, A. H. (2013). “Analysis of functionally graded plates using higher order shear deformation theory.” Appl. Math. Model., 37(18–19), 8484–8494.
Vodenitcharova, T., and Zhang, L. C. (2006). “Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube.” Int. J. Solids Struct., 43(10), 3006–3024.
Volder, M., Tawfick, S., Baughman, R., and Hart, J. (2013). “Carbon nanotubes: Present and future commercial applications.” Science, 339(6119), 535–539.
Wang, Z. X., and Shen, H. S. (2012). “Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments.” Nonlinear Dyn., 70(1), 735–754.
Wattanasakulpong, N., Gangadhara Prusty, B., and Kelly, D. W. (2011). “Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams.” Int. J. Mech. Sci., 53(9), 734–743.
Yas, M. H., and Samadi, N. (2012). “Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation.” Int. J. Pressure Vessels Piping, 98, 119–128.
Zhu, P., Lei, Z. X., and Liew, K. M. (2012). “Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory.” Compos. Struct., 94(4), 1450–1460.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 30Issue 3May 2017

History

Received: Mar 22, 2016
Accepted: Sep 16, 2016
Published online: Nov 30, 2016
Discussion open until: Apr 30, 2017
Published in print: May 1, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Kulmani Mehar
Dept. of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha 769008, India.
Subrata Kumar Panda [email protected]
Dept. of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha 769008, India (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share