Electro-Mechanical Buckling of a Piezoelectric Annular Plate Reinforced with BNNTs Under Thermal Environment
محورهای موضوعی : EngineeringA Ghorbanpour Arani 1 , E Haghparast 2
1 - Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
2 - Faculty of Mechanical Engineering, University of Kashan
کلید واژه: Energy method, Axisymmetric buckling, BNNT, Annular Plate, Piezoelectric polymeric, Electro-thermo-mechanical loadings,
چکیده مقاله :
In this article, axisymmetric buckling behavior of piezoelectric fiber reinforced polymeric composite (PFRPC) annular plate subjected to electro-thermo-mechanical field is presented utilizing principle of minimum potential energy. Boron-nitride nanotubes (BNNTs) are used as fibers. Full coupling between electrical, mechanical and thermal fields are considered according to a representative volume element (RVE)-based XY piezoelectric fiber reinforce composite (PEFRC) model. Assuming PFRPC material and its composite constituents to be linear, homogenous, orthotropic, and perfectly bonded with uniform applied field, the basic relation for the axisymmetric buckling of a circular plate subjected to radial compression, radial electrical field, and uniform temperature change are derived. The presented results show that BNNTs can be used as an effective supplement to improve mechanical behavior of polyvinylidene fluoride (PVDF). Also, at normal working conditions, the influence of thermal and mechanical fields is much higher than the electric one on the critical load; hence, this smart structure is best suited for applications as sensors than actuators.
[1] Rubio A., Corkill J. L., Cohen M. L., 1994, Theory of graphitic boron nitride nanotubes, Physical Review B 49: 5081-5084.
[2] Blasé X., Rubio A., Louie S. G., Cohen M. L., 1994, Stability and band gap constancy of boron nitride nanotubes, Europhysics Letters 28: 335-340.
[3] Chen Y., Zou J., Campbell S.J., Caer G.L., 2004, Boron nitride nanotubes: Pronounced resistance to oxidation, Applied Physics Letters 84: 2430-2432.
[4] Sai N., Mele E. J., 2003, Microscopic theory for nanotube piezoelectricity, Physical Review B 68: 241405.
[5] Bansal N.P., Hurst J.B., Choi S.R., 2006, Boron nitride nanotube-reinforced glass composites, Journal of the American Ceramic Society 89: 388-390.
[6] Munch W.V., Thiemann U. 1991, Pyroelectric detector array with PVDF on silicon integrated circuit, Sensors and Actuators A: Physical25: 167-172.
[7] Xing S., 2002, Novel piezoelectric and pyroelectric materials: PVDF copolymer-carbon nanotubes composites, Master’s Thesis, Department of Material Science and Engineering, Clemson University.
[8] Crawley E.F., 1994, Intelligent structures for aerospace: a technology overview and assessment, AIAA Journal 32: 1689-99.
[9] Niezrecki C., Brei D., Balakrishnan S., Moskalik A., 2001, Piezoelectric Actuation: State of the Art, The Shock and Vibration Digest 33: 269-280.
[10] Wilkie W.K., Bryant R.G., High J.W., Fox R.L., Hellbaum R.F., Jalink A., Little B.D., Mirick P.H., 2000, Low-cost piezocomposite actuator for structural control applications, in: Proceedings of Seventh SPIE International Symposium on Smart Structures and Materials, Newport Beach, CA, March 5-9.
[11] Najafizadeh M.M., Heydari, H.R., 2008, An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression, International Journal of Mechanical Sciences 50: 603-612.
[12] Ghorbanpour Arani A., Maghamikia Sh., Mohammadimehr M., Arefmanesh A., 2011, Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods, Journal of Mechanical Science and Technology 25(3): 809-820.
[13] Jam J. E., Kia S. M., Pour A. G., Emdadi M., 2011, Elastic buckling of circular annular plate reinforced with carbon nanotubes, Polymer Composites 32(6): 896-903.
[14] Vodenitcharova T., Zhang L.C., 2006, Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube, International Journal of Solids and Structures 43: 3006-3024.
[15] Shen H.S., Zhang C.L., 2010, Thermal buckling and post buckling behavior of functionally graded carbon nanotube-reinforced composite plates, Materials & Design 3: 3403-3411.
[16] Baltaci A., Sarikanat M., Yildiz H., 2007, Static stability of laminated composite circular plates with holes using shear deformation theory, Finite Elements in Analysis and Design 43: 839-846.
[17] Seifi R., Khoda-yari N., Hosseini H., 2012, Study of critical buckling loads and modes of cross-ply laminated annular plates, Composites Part B: Engineering 43: 422-430.
[18] Tan P., Tong L., 2001, Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials, Composites Science and Technology 61: 759-69.
[19] Brockmann T.H., 2009, Theory of Adaptive Fiber Composites From Piezoelectric Material Behavior to Dynamics of Rotating Structures. Springer.
[20] Jones R.M., 1975, Mechanics of Composite Materials, Scripta Book Company, Washington.
[21] Whitney J.M., 1987, Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Company, Lancaster.
[22] Vinson J.R., 2005, Plate and Panel Structures of Isotropic, Composite and Piezoelectric Materials, Including Sandwich Construction, Springer.
[23] Salehi-Khojin A., Jalili N., 2008, Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings, Composites Science and Technology 68: 1489-1501.
357-372.