Journal of Applied and Computational Mechanics

Magnetic Field Effects on the Elastic Behavior of Polymeric Piezoelectric Cylinder Reinforced with CNTs

Document Type : Research Paper

Authors

Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Abstract

In the present study, the magnetic field effects of the elastic response of the polymeric piezoelectric cylinder reinforced with the carbon nanotubes (CNTs) are studied. The cylinder is subjected to an internal pressure, a constant electric potential difference at the inner and outer surfaces, and the thermal and magnetic fields. The Mori-Tanaka model is used for obtaining the equivalent material properties of the cylinder. The governing differential equation of the cylinder is derived and solved analytically based on the charge and equilibrium relations. The main purpose of this paper is to investigate the effects of the magnetic field on the stresses, the electric potential, and the radial displacement distributions of the polymeric piezoelectric cylinder. The presented results indicate that the existence of the magnetic field can reduce the stresses of the nanocomposite cylinder.

Keywords

[1] Ghorbanpour, A., Golabi, S. and Saadatfar, M., “Stress and electric potential fields in piezoelectric smart spheres”, Journal of Mechanical Science and Technology, Vol. 20, pp. 1920-1933, 2006.
[2] Saadatfar, M. and Razavi, A.S., “Piezoelectric hollow cylinder with thermal gradient”, Journal of Mechanical Science and Technology, Vol. 23, pp. 45-53, 2009.
[3] Galic, D. and Horgan, C.O., “The stress response of radially polarized rotating piezoelectric cylinders”, Journal of Appllied Mechanics, Vol. 66, pp. 257-272, 2002.
[4] Chen, Y., Shi, Z.F., “Analysis of a functionally graded piezothermoelatic hollow cylinder”, Journal of Zhejiang University SCIENCE A, Vol. 6, pp. 956–61, 2005.
[5] Babaei, M.H. and Chen, Z.T. “Analytical solution for the electromechanical behaviour of a rotating functionally graded piezoelectric hollow shaft”, Archive of Appllied Mechanics, Vol. 78, pp. 489–500, 2008.
[6] Khoshgoftar, M.J., Ghorbanpour Arani, A. and Arefi, M. “Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material”, Smart Materials and Structures, Vol. 18, pp. 115007 (8pp), 2009.
[7] Ray, M.C. and Reddy,J.N. “Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites”, Composite Science and Technology, Vol. 65, pp. 1226–1236, 2005.
[8] Bohm, H.j. and Nogales, S. “Mori–Tanaka models for the thermal conductivity of composites with interfacial resistance and particle size distributions”, Composite Science and Technology, Vol. 68, pp. 1181–1187, 2008.
[9] Tan, P. and Tong, L. “Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials”, Composite Science and Technology, Vol. 61, pp. 759–769, 2001.
[10] Loghman, A. and Cheraghbak, A. “Agglomeration effects on electro-magneto-thermo elastic behavior of nano-composite piezoelectric cylinder”, Polymer Composites, 2016, DOI: 10.1002/pc.24104.
[11] Mori, T. and Tanaka, K., “Average Stress in Matrix and Average Elastic Energy of Materials With Misfitting Inclusions”, Acta Metallurgica et Materialia, Vol. 21, pp. 571- 574, 1973.
[12] Shi, D.L. and Feng, X.Qو. T“he Effect ofNanotube Waviness and Agglomeration on the elastic Property of Carbon Nanotube-Reinforced Composties”, Journal of Engineering Materials and Technology ASME, Vol. 126, pp. 250-270, 2004.
[13] Ghorbanpour Arani, A., Kolahchi, R. and Mosallaie Barzoki, A.A. “Effect of material in-homogeneity on electromechanical  behaviors of functionally graded piezoelectric rotating shaft”, Applied Mathematical Modelling, Vol. 135, pp. 2771–2789, 2011.
[14] Ghorbanpour Arani, A., Loghman, A., Abdollahitaheri, M. and Atabakhshian, V. “Electrothermomechanical behaviour of a radially polarized functionally graded piezoelectric cylinder”, Journal of Mechanics of Materials and Structures, Vol. 6, pp. 869–882, 2011.
[15] Dai, H.L., Hong, H., Fu, Y. and Xiao, M. “Analytical solution for electromagneto thermoelastic behaviours of a Functionally Graded Piezoelectric Hollow Cylinder”, Applied Mathematical Modeling, Vol. 34, pp. 343-357, 2010.
[16] Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Mozdianfard, M.R. and Loghman, A. “Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder”, Computers and Structures, Vol. 89, pp. 1494–1502, 2011.
Journal of Applied and Computational Mechanics
Volume 2, Issue 4
December 2016
Pages 222-229