Research ArticleOpen AccessGoogle Scholar indexed
Nonlinear Bending of Piezoelectric Cylindrical Shell Reinforced with BNNTs under Electro-Thermo-Mechanical Loadings
School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, China
School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, China
- 1 School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, China
- 2 School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha, China
Materials Sciences and Applications·Volume 06 (2015)·Pages 743–752·Published 4 August 2015·DOI10.4236/msa.2015.68076
Copy link · social · email
Abstract
Under combined electro-thermo-mechanical loadings, the nonlinear bending of piezoelectric cylindrical shell reinforced with boron nitride nanotubes (BNNTs) is investigated in this paper. By employing nonlinear strains based on Donnell shell theory and utilizing piezoelectric theory including thermal effects, the constitutive relations of the piezoelectric shell reinforced with BNNTs are established. Then the governing equations of the structure are derived through variational principle and resolved by applying the finite difference method. In numerical examples, the effects of geometric nonlinear, voltage, temperature, as well as volume fraction on the deflection and bending moment of axisymmetrical piezoelectric cylindrical shell reinforced with BNNTs are discussed in detail.
KeywordsNonlinear BendingPiezoelectricCylindrical ShellBNNTElectro-Thermo-Mechanical Loadings
- Chen, Y., Zou, J., Campbell, S.J. and Le Caer, G. (2004) Boron Nitride Nanotubes: Pronounced Resistance to Oxidation. Applied Physics Letters, 84, 2430-2432. http://dx.doi.org/10.1063/1.1667278
- Suryavanshi, A.P., Yu, M.F., Wen, J.G., Tang, C.C. and Bando, Y. (2004) Elastic Modulus and Resonance Behavior of Boron Nitride Nanotubes. Applied Physics Letters, 84, 2527-2529. http://dx.doi.org/10.1063/1.1691189
- Terrones, M., Romo-Herrera, J.M., Cruz-Silva, E., López-Urías, F., Muñoz-Sandoval, E., Velázquez-Salazar, J.J., Terrones, H., Bando, Y. and Golberg, D. (2007) Pure and Doped Boron Nitride Nanotubes. Materials Today, 10, 30-38. http://dx.doi.org/10.1016/S1369-7021(07)70077-9
- Yao, L.Q., Zhang, J.G., Lu, L. and Lai, M.O. (2004) Nonlinear Static Characteristics of Piezoelectric Bending Actuators under Strong Applied Electric Field. Sensors and Actuators A: Physical, 115, 168-175. http://dx.doi.org/10.1016/j.sna.2004.04.037
- Shen, H.-S. (2004) Nonlinear Bending Analysis of Unsymmetric Cross-Ply Laminated Plates with Piezoelectric Actuators in Thermal Environments. Composite Structures, 63, 167-177. http://dx.doi.org/10.1016/S0263-8223(03)00145-4
- Shegokar, N.L. and Lal, A. (2013) Stochastic Nonlinear Bending Response of Piezoelectric Functionally Graded Beam Subjected to Thermoelectromechanical Loadings with Random Material Properties. Composite Structures, 100, 17-33. http://dx.doi.org/10.1016/j.compstruct.2012.12.032
- Narita, F., Shindo, Y. and Mikami, M. (2005) Analytical and Experimental Study of Nonlinear Bending Response and Domain Wall Motion in Piezoelectric Laminated Actuators under Electric Fields. Acta Materialia, 53, 4523-4529. http://dx.doi.org/10.1016/j.actamat.2005.05.044
- Beldica, C.E. and Hilton, H.H. (2001) Nonlinear Viscoelastic Beam Bending with Piezoelectric Control-Analytical and Computational Simulations. Composite Structures, 51, 195-203. http://dx.doi.org/10.1016/S0263-8223(00)00139-2
- Yan, W., Wang, J. and Chen, W.Q. (2014) Cylindrical Bending Responses of Angle-Ply Piezoelectric Laminates with Viscoelastic Interfaces. Applied Mathematical Modelling, 38, 6018-6030. http://dx.doi.org/10.1016/j.apm.2014.05.025
- Narita, F., Shindo, Y. and Hayashi, K. (2005) Bending and Polarization Switching of Piezoelectric Laminated Actuators under Electromechanical Loading. Computers & Structures, 83, 1164-1170. http://dx.doi.org/10.1016/j.compstruc.2004.08.025
- Li, Y.S., Feng, W.J. and Cai, Z.Y. (2014) Bending and Free Vibration of Functionally Graded Piezoelectric Beam Based on Modified Strain Gradient Theory. Composite Structures, 115, 41-50. http://dx.doi.org/10.1016/j.compstruct.2014.04.005