The analysis of time-dependent creep in FGPM thick walled sphere under electro-magneto-thermo-mechanical loadings
Tóm tắt
Time-dependent creep response of a smart sphere made of functionally graded piezoelectric material (FGPM) is investigated. The vessel is subjected to an internal pressure, a uniform temperature field, an electric potential and a uniform magnetic field. Under such a loading condition initial elastic stresses are locked in the vessel at zero time. Due to high temperature, creep evolution causes stress redistribution in the sphere which is followed by electric potential redistribution across the thickness of the sphere. History of radial stresses is always reflected by history of electric potential which can be used for condition monitoring of the smart sphere. From the initial elastic stresses it has been found that imposing an electric potential decreases effective stresses. It has also been concluded from history of electric potential that electric potential redistribution is decreasing due to creep evolution and therefore this is followed by increasing effective stresses.
Tài liệu tham khảo
Dai, H.L., Fu, Y.M.: Magneto-thermo-elastic interactions in hollow structures of functionally graded material subjected to mechanical loads. Int. J. Press. Vessels Piping 84, 132–138 (2007)
Dai, H.L., Hong, L., Fu, Y.-M., Xiao, X.: Analytical solution for electro-magneto-thermo-elastic behaviors of a functionally graded piezoelectric hollow cylinder. Appl. Math. Model. 34, 343–357 (2009)
Ghorbanpour Arani, A., Kolahchi, R., Mosallaie Barzoki, A.A.: Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft. Appl. Math. Model. 36, 2771–2789 (2010)
Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Mozdianfard, M.R., Loghman, A.: Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder. Comput. Struct. 89, 1494–1502 (2011)
Heyliger, P.: A note on the static behavior of simply-supported laminated piezoelectric cylinders. Int. J. Solids Struct. 34, 3781–3794 (1996)
Khoshgoftar, M.J., Ghorbanpour Arani, A., Arefi, M.: Thermo-elastic analysis of a thick-walled cylinder made of functionally graded piezoelectric material. Smart Mater. Struct. 18, 115007 (2009)
Kraus, J.D.: Electromagnetics. McGraw-Hill, New York (1984)
Loghman, A., Wahab, M.A.: Creep damage simulation of thick-walled tubes using the θ projection concept. Int. J. Press. Vessels Piping 67, 105–111 (1996)
Loghman, A., Ghorbanpour Arani, A., Amir, S., Vajedi, A.: Magneto-thermo-elastic creep analysis of functionally graded cylinders. Int. J. Press. Vessels Piping 87, 389–395 (2010)
Loghman, A., Ghorbanpour Arani, A., Aleayoub, S.M.A.: Time-dependent creep stress redistribution analysis of functionally graded spheres. Mech. Time-Depend. Mater. 15, 353–365 (2011)
Loghman, A., Aleayoub, S.M.A., Hasani Sadi, M.: Time-dependent magneto-thermo-elastic creep modeling of FGM spheres using method of successive elastic solution. Appl. Math. Model. 36, 836–845 (2012)
Wang, H.M., Xu, Z.X.: Effect of material inhomogeneity on electromechanical behaviors of functionally graded piezoelectric spherical structures. Comput. Mater. Sci. 48, 440–445 (2010)
Yang, Y.Y.: Time-dependent stress analysis in functionally graded materials. Int. J. Solids Struct. 37, 7593–7608 (2000)