Structural Engineering and Mechanics

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Investigation on electromagnetothermoelastic interaction of functionally graded piezoelectric hollow spheres

  • Dai, Hong-Liang (State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University) ;
  • Rao, Yan-Ni (State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University)
  • Received : 2010.06.10
  • Accepted : 2011.06.24
  • Published : 2011.10.10
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Abstract

An analytical method is presented to investigate electromagnetothermoelastic behaviors of a hollow sphere composed of functionally graded piezoelectric material (FGPM), placed in a uniform magnetic field, subjected to electric, thermal and mechanical loads. For the case that material properties obey an identical power law in the radial direction of the FGPM hollow sphere, exact solutions for electric displacement, stresses, electric potential and perturbation of magnetic field vector in the FGPM hollow sphere are determined by using the infinitesimal theory of electromagnetothermoelasticity. Some useful discussion and numerical examples are presented to show the significant influence of material inhomogeneity. The aim of this research is to understand the effect of composition on electromagnetothermoelastic stresses and to design optimum FGPM hollow spheres.

Keywords

References

  1. Arani, A.G., Salari, M., Khademizadeh, H. et al. (2009), "Magnetothermoelastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields", Arch. Appl. Mech., 79, 481-497. https://doi.org/10.1007/s00419-008-0247-0
  2. Chen, W.Q., Bian, Z.G., Lv, C.F., et al. (2004), 3D free vibration analysis of a functionally graded piezoelectric hollow sphere filled with compressible fluid", Int. J. Solids Struct., 41(3-4), 947-964. https://doi.org/10.1016/j.ijsolstr.2003.09.036
  3. Dai, H.L. and Fu, Y.M. (2006), "Electromagnetotransient stress and perturbation of magnetic field vector in transversely isotropic piezoelectric solid spheres", Mater. Sci. Eng. B, 129, 86-92. https://doi.org/10.1016/j.mseb.2005.12.020
  4. Dai, H.L. and Fu, Y.M. (2007), "Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads", Int. J. Pres. Ves. Pip., 84, 132-138. https://doi.org/10.1016/j.ijpvp.2006.10.001
  5. Dai, H.L. and Wang, X. (2004), "Dynamic responses of piezoelectric hollow spheres in an axial magnetic field", Int. J. Solids Struct., 41, 5231-5246. https://doi.org/10.1016/j.ijsolstr.2004.04.019
  6. Dai, H.L., Fu, Y.M. and Yang, J.H. (2007), "Electromagnetoelastic solutions for functionally graded piezoelectric solid sphere", Acta Mechanica Sinica, 23, 55-63. https://doi.org/10.1007/s10409-006-0047-0
  7. Dunn, M.L. and Taya, M. (1994), "Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids", J. Appl. Mech., 61, 474-475. https://doi.org/10.1115/1.2901471
  8. Eslami, M.R., Babaei, M.H. and Poultangari, R. (2005), "Thermal and mechanical stresses in a functionally graded thick sphere", Int. J. Pres. Ves. Pip., 82, 522-527. https://doi.org/10.1016/j.ijpvp.2005.01.002
  9. Ganapathi, M. (2007), "Dynamic stability characteristics of functionally graded materials shallow spherical shells", Compos. Struct., 79(3), 338-343. https://doi.org/10.1016/j.compstruct.2006.01.012
  10. Han, X. and Liu, G.R. (2003), "Elastic waves in a functionally graded piezoelectric sphere", Smart Mater. Struct., 12, 962-971. https://doi.org/10.1088/0964-1726/12/6/014
  11. Heyliger, P. (1996), "A note on the static behavior of simply-supported laminated piezoelectric spheres", Int. J. Solid Struct., 34, 3781-3794.
  12. Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2002), "Mechanical and thermal stresses in a functionally graded hollow sphere due to radially symmetric loads", Int. J. Pres. Ves. Pip., 79, 493-497. https://doi.org/10.1016/S0308-0161(02)00043-1
  13. Kraus, J.D. (1984), Electromagnetic, Mc GrawHill, Inc., USA.
  14. Lutz, M.P. and Zimmerman, R.W. (1996), "Thermal stresses and effective thermal expansion coefficient of a functionally graded sphere", J. Therm. Stress., 19, 39-54. https://doi.org/10.1080/01495739608946159
  15. Naki, T. and Murat, O. (2001), "Exact solutions for stresses in functionally graded pressure vessels", Compos. Part B, 32, 683-686.
  16. Obata, Y. and Noda, N. (1995), "Transient thermal stresses in a hollow sphere of functionally graded material", Proceedings of Thermal Stresses, Shizuola University Press, Hamamatsu, Japan.
  17. Ootao, Y. and Tanigawa, Y. (2007), "Transient piezothermoelastic analysis for a functionally graded thermopiezoelectric hollow sphere", Compos. Struct., 81, 540-549. https://doi.org/10.1016/j.compstruct.2006.10.002
  18. Paul, C.R. and Nasar, S.A. (1987), Introduction to Electromagnetic Fields, Second Edition, Mc Grawhill, Inc., USA.
  19. Poultangari, R., Jabbari, M. and Eslami, M.R. (2008), "Functionally graded hollow spheres under nonaxisymmetric thermomechanical loads", Int. J. Pres. Ves. Pip., 85, 295-305. https://doi.org/10.1016/j.ijpvp.2008.01.002
  20. Wu, X.H., Shen, Y.P. and Chen, C.Q. (2003), "An exact solution for functionally graded piezothermoelastic spherical shell as sensors or actuators", Mater. Lett., 57(22-23), 3532-3542. https://doi.org/10.1016/S0167-577X(03)00121-6

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