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Electro-elastic analysis of fiber-reinforced multilayered cylindrical composites with integrated piezoelectric actuators. (English) Zbl 1301.74020

The author presents an analytical solution for a hybrid, hollow cylindrical composite composed of three parts: an internal piezoelectric actuator, a fiber-reinforced laminated multilayer, and an external piezoelectric actuator subjected to mechanical and electrical loadings, within the linear theory of piezoelectricity. The basic equations are formulated in cylindrical coordinates. The general solutions for the outer and for the inner piezoelectric layers are presented, as well as the general solutions in the fiber-reinforced laminated multilayer by means of the state-space method. The mechanical and the electrical boundary conditions are discussed. Numerical results are presented and discussed for piezoelectric and fiber-reinforced materials. A comparison is carried out between the results of the present method and those obtained otherwise. The effect of the fiber angle on the physical fields is investigated.

MSC:

74F15 Electromagnetic effects in solid mechanics
74E30 Composite and mixture properties
74M05 Control, switches and devices (“smart materials”) in solid mechanics
74G05 Explicit solutions of equilibrium problems in solid mechanics
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[1] Jones R.M.: Mechanics of Composite Materials, 2nd Edition. Taylor & Francis, Philadelphia (1999)
[2] Levend, P.; Katirci, N., Design of fiber-reinforced composite pressure vessels under various loading conditions, Compos. Struct., 58, 83-95, (2002)
[3] Jacquemin, F.; Vautrin, A., Analytical calculation of the transient thermoelastic stresses in thick walled composite pipes, J. Compos. Mater., 38, 1733-1751, (2004)
[4] Taciroglu, E.; Liu, C. W., Analysis and design of multimodal piezoelectric layered tubular sensors and actuators, Smart Mater. Struct., 14, 605-614, (2005)
[5] Chen, W. Q.; Lü, C. F.; Yang, J. S.; Wang, J., A circular cylindrical, radially polarized ceramic shell piezoelectric transformer, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 56, 1238-1245, (2009)
[6] Yuan, F. G.; Yang, W.; Kim, H., Analysis of axisymmetrically-loaded filament wound composite cylindrical shells, Compos. Struct., 50, 115-130, (2000)
[7] Xia, M.; Takayanagi, H.; Kemmochi, K., Analysis of multi-layered filament-wound composite pipes under internal pressure, Compos. Struct., 53, 483-491, (2001)
[8] Alibeigloo, A., Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method, Int. J. Press. Vess. Pip., 86, 738-747, (2009)
[9] Bakaiyan, H.; Hosseini, H.; Ameri, E., Analysis of multi-layered filament-wound composite pipes under combined internal pressure and thermomechanical loading with thermal variations, Compos. Struct., 88, 532-541, (2009)
[10] Jabbari, M.; Sohrabpourb, S.; Eslami, M. R., Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, Int. J. Press. Vess. Pip., 79, 493-497, (2002)
[11] Pan, E.; Roy, A. K., A simple plane-strain solution for functionally graded multilayered isotropic cylinders, Struct. Eng. Mech., 24, 727-740, (2006)
[12] Li, X. F.; Peng, X. L., A Pressurized functionally graded hollow cylinder with arbitrarily varying material properties, J. Elast., 96, 81-95, (2009) · Zbl 1273.74040
[13] Wang, H. M., Effect of material inhomogeneity on the rotating functionally of a graded orthotropic hollow cylinder, J. Mech. Sci. Technol., 24, 1839-1844, (2010)
[14] Sburlati, R., Analytical elastic solutions for pressurized hollow cylinders with internal functionally graded coatings, Compos. Struct., 94, 3592-3600, (2012)
[15] Galic, D.; Horgan, C. O., Internally pressurized radially polarized piezoelectric cylinders, J. Elast., 66, 257-272, (2002) · Zbl 1078.74551
[16] Wang, H. M., Elastic analysis of exponentially graded piezoelectric cylindrical structures as sensors and actuators, J. Mech. Sci. Technol., 26, 4047-4053, (2012)
[17] Dai, H. L.; Dai, T.; Zheng, H. Y., Stresses distributions in a rotating functionally graded piezoelectric hollow cylinder, Meccanica, 47, 423-436, (2012) · Zbl 1293.74096
[18] Babaei, M. H.; Chen, Z. T., Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft, Arch. Appl. Mech., 78, 489-500, (2008) · Zbl 1168.74344
[19] Li, X. F.; Peng, X. L.; Lee, K. Y., Radially polarized functionally graded piezoelectric hollow cylinders as sensors and actuators, Eur. J. Mech. A/Solids, 29, 704-713, (2010)
[20] Khoshgoftar, M. J.; Arani, A. G.; Arefi, M., Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material, Smart Mater. Struct., 18, 115007, (2009)
[21] Zenkour, A. M., Piezoelectric behavior of an inhomogeneous hollow cylinder with thermal gradient, Int. J. Thermophys., 33, 1288-1301, (2012)
[22] Wang, H. M.; Ding, H. J., Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder, Arch. Appl. Mech., 77, 11-20, (2007) · Zbl 1161.74448
[23] Reddy J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd Edition. CRC Press, Boca Raton (2004) · Zbl 1075.74001
[24] Deif A.S.: Advanced Matrix Theory for Scientists and Engineers. Abacus Press, London (1982) · Zbl 0512.15002
[25] Dunn, M. L.; Taya, M., Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids, J. Appl. Mech., 61, 474-475, (1994)
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