Investigation on Stress Distribution of Functionally Graded Nanocomposite Cylinders Reinforced by Carbon Nanotubes in Thermal Environment

Document Type: Original Article

Authors

1 Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran

2 Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

Abstract

In this paper, stress and displacement fields of functionally graded (FG) nanocomposite cylinders reinforced by carbon nanotubes (CNTs) subjected to internal pressure and in thermal environment are investigated by finite element method. The nanocomposite cylinders are combinations of single-walled carbon nanotubes (SWCNTs) and isotropic matrix. Material properties are estimated by a micro mechanical model (Rule of mixture), using some effective parameters. In this simulation, an axisymmetric model is used; uniform and four kinds of linear functionally graded (FG) distributions of CNTs along the radial direction is assumed, in order to study the stress distributions. Effects of the kind of distribution and volume fraction of CNT and also, thermal environment, and geometry dimension of cylinder are investigated on the stress and displacement distributions of the FG nanocomposite cylinders. It is shown that, CNTs distribution and environment temperature are important factors on the stresses distribution of the nanocomposite cylinders.

Keywords


[1]     Iijima, S., “Helical microtubules of graphitic carbon”, Nature, Vol. 354, 1991, pp. 56–8.

[2]     Wagner, H. D., Lourie, O., Feldman, Y., and Tenne, R., “Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix”, Applied Physics Letters, Vol. 72, 1997, pp. 188–90.

[3]     Griebel, M., Hamaekers, J., “Molecular dynamic simulations of the elastic moduli of polymer-carbon nanotube composites”, Computer Methods in Applied Mechanics and Engineering, Vol. 193, 2004, pp. 1773–88.

[4]     Song, Y. S., Youn, J. R., “Modeling of effective elastic properties for polymer based carbon nanotube composites”, Polymer, Vol. 47, 2006, pp. 1741–8.

[5]     Han, Y., Elliott, J., “Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites”, Computational Materials Science, Vol. 39, 2007, pp. 315–23.

[6]     Zhu, R., Pan, E., and Roy, A. K., “Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites”, Materials Science and Engineering A, Vol. 447, 2007, pp. 51–7.

[7]     Manchado, M. A. L., Valentini, L., Biagiotti, J., and Kenny, J. M., “Thermal and mechanical properties of single-walled carbon nanotubes-polypropylene composites prepared by melt processing”, Carbon, Vol. 43, 2005, pp. 1499–505.

[8]     Qian D., Dickey E. C., Andrews R., and Rantell T., “Load transfer and deformation mechanisms in carbon nanotube–polystyrene composites”, Applied Physics Letters, Vol. 76, 2000, pp. 2868–70.

[9]     Berber S., Kwon Y. K., Tomanek D. “Unusually high thermal conductivity of carbon nanotubes”, Phys Rev Lett Vol. 84, 2000, pp. 4613–6.

[10]  Hong W. T. Tai N. H., “Investigations on the thermal conductivity of composites reinforced with carbon nanotubes”, Diamond Relat Mater, Vol. 17, 2008, pp. 1577–81.

[11]  Liu. T. T, Wang. X., “Dynamic elastic modulus of single-walled carbon nanotubes in different thermal environments”, Physics Letters A, Vol. 365, 2007, pp. 144–148.

[12]  Meguid S. A., Sun Y. “On the tensile and shear strength of nano-reinforced composite interfaces”, Materials and Design, Vol. 25, 2004, pp. 289–96.

[13]  Shen H. S., “Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells”, Composite Structures, Vol. 93, 2011, pp. 2096–108.

[14]  Shen, H. S., Zhang, C. L., “Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates”, Materials and Design, Vol. 31, 2010, pp. 3403–11.

[15]  Lei, Z. X., Liew, K. M., and Yu, J. L., “Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment”, Composite Structures,Vol. 106,2013,  pp. 128–138.

[16]  Lei, Z. X., Liew, K. M., and Yu, J. L., “Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method”, Composite Structures,Vol. 98, 2013, pp. 160–168.

[17]  Heshmati, M., Yas, M. H., “Dynamic analysis of functionally graded multi-walled carbon nanotube-polystyrene nanocomposite beams subjected to multi-moving loads”, Materials & Design, Vol. 49, 2013, pp. 894-904.

[18]  Alibeigloo, A., “Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using theory of elasticity”, European Journal of Mechanics-A/Solids, Vol. 44, 2014, pp. 104-115.

[19]  Alibeigloo, A., Liew, K. M., “Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity”, Composite Structures,Vol. 106, 2013, pp. 873–881.

[20]  Moradi-Dastjerdi, R., Foroutan, M., Pourasghar, A., and Sotoudeh-Bahreini R., “Static analysis of functionally graded carbon nanotube-reinforced composite cylinders by a mesh-free method”, Journal of Reinforced Plastic and Composites, Vol. 32, 2013, pp. 593-601.

[21]  Moradi-Dastjerdi, R., Foroutan, M., and Pourasghar, A., “Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method”, Materials and Design, Vol. 44, 2013, pp. 256-66.

[22]  Moradi-Dastjerdi, R., Sheikhi, M. M., and Shamsolhoseinian, H. R., “Stress Distribution in Functionally Graded Nanocomposite Cylinders Reinforced by Wavy Carbon Nanotube”, Int J of Advanced Design and Manufacturing Technology, Vol. 7, 2014, pp. 43-54.

[23]  Jam, J. E., Kiani, Y., “Buckling of pressurized functionally graded carbon nanotube reinforced conical shells”, Composite Structures, Vol. 125, 2015, pp. 586-595.

[24]  Mirzaei, M., Kiani, Y., “Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells”, Aerospace Science and Technology, Vol. 47, 2015, pp. 42-53.

[25]  Mirzaei, M., Kiani, Y., “Thermal buckling of temperature dependent FG-CNT reinforced composite plates”, Meccanica, 2015, DOI: 10.1007/s11012-015-0348-0.

[26]  Mirzaei, M., Kiani, Y., “Snap-through phenomenon in a thermally postbuckled temperature dependent sandwich beam with FG-CNTRC face sheets”, Composite Structures, Vol. 134, 2015, pp. 1004-1013.

[27]  Jam, J. E., Kiani, Y., “Low velocity impact response of functionally graded carbon nanotube reinforced composite beams in thermal environment”, Composite Structures, Vol. 132, 2015, pp. 35-43.

[28]  Shen H. S., “Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments,” Composite Structures, Vol. 91, 2009, pp. 9–19

[29]  Li, X. F., Peng, X. L., “A pressurized functionally graded hollow cylinder with arbitrarily varying material properties”, Journal Elasticity, Vol. 96, 2009, pp. 81–95.

[30]  Hetnarski, R. B., Eslami M. R., “Thermal Stresses–Advanced Theory and Applications”, Springer, Solid Mechanics and its applications, 2009, Chaps. 4.