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Studies on magneto-electro-elastic cantilever beam under thermal environment

  • Kondaiah, P. (Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology) ;
  • Shankar, K. (Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology) ;
  • Ganesan, N. (Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology)
  • Received : 2012.04.30
  • Accepted : 2012.06.13
  • Published : 2012.06.25

Abstract

A smart beam made of magneto-electro-elastic (MEE) material having piezoelectric phase and piezomagnetic phase, shows the coupling between magnetic, electric, thermal and mechanical under thermal environment. Product properties such as pyroelectric and pyromagnetic are generated in this MEE material under thermal environment. Recently studies have been published on the product properties (pyroelectric and pyromagnetic) for magneto-electro-thermo-elastic smart composite. Hence, the magneto-electro-elastic beam with different volume fractions, investigated under uniform temperature rise is the main aim of this paper, to study the influence of product properties on clamped-free boundary condition, using finite element procedures. The finite element beam is modeled using eight node 3D brick element with five nodal degrees of freedom viz. displacements in the x, y and z directions and electric and magnetic potentials. It is found that a significant increase in electric potential observed at volume fraction of $BaTiO_3$, $v_f$ = 0.2 due to pyroelectric effect. In-contrast, the displacements and stresses are not much affected.

Keywords

References

  1. Aboudi, J. (2001), "Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites", Smart Mater. Struct., 10(5), 867-877. https://doi.org/10.1088/0964-1726/10/5/303
  2. Alibeigloo, A. (2010), "Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers", Compos. Struct., 92(6), 1535-1543. https://doi.org/10.1016/j.compstruct.2009.10.030
  3. Biju, B, Ganesan, N. and Shankar, K. (2011), "Dynamic response of multiphase magneto-electro-elastic sensors using 3D magnetic vector potential approach", IEEE Sen. J., 11(9), 2169-2176. https://doi.org/10.1109/JSEN.2011.2112346
  4. Bravo-Castillero, J., Rodriguez-Ramos, R., Mechkour, H., Otero, J. and Sabina, F.J. (2008), "Homogenization of magneto-electro-elastic multilaminated materials", Q. J. Mech. Appl. Math., 61(3), 311-322. https://doi.org/10.1093/qjmam/hbn010
  5. Buchanan, G.R. (2004), "Layered versus multiphase magneto-electro-elastic composites", Compos. Part B - Eng., 35(5), 413-420. https://doi.org/10.1016/j.compositesb.2003.12.002
  6. Challagulla, K.S. and Georgiades, A.V. (2011), "Micromechanical analysis of magneto-electro-thermo-elastic composite materials with applications to multilayered structures", Int. J. Eng. Sci., 49(1), 85-104. https://doi.org/10.1016/j.ijengsci.2010.06.025
  7. Gornandt, A. and Gabbert, U. (2002), "Finite element analysis of thermopiezoelectric smart structures", Acta Mech., 154(1-4), 129 140. https://doi.org/10.1007/BF01170703
  8. Haozhong, G., Chattopadhyay, A., Li, J. and Zhou, X. (2000), "A higher order temperature theory for coupled thermo-piezoelectric-mechanical modeling of smart composites", Int. J. Solids Struct., 37(44), 6479-6497. https://doi.org/10.1016/S0020-7683(99)00283-8
  9. Huang, D.J., Ding, H.J. and Chen, W.Q. (2010), "Static analysis of anisotropic functionally graded magnetoelectro- elastic beams subjected to arbitrary loading", Eur. J. Mech. A - Solid., 29(3), 356-369. https://doi.org/10.1016/j.euromechsol.2009.12.002
  10. Kim, J.Y. (2011), "Micromechanical analysis of effective properties of magneto-electro-thermo-elastic multilayer composites", Int. J. Eng. Sci., 49(9), 1001-1018. https://doi.org/10.1016/j.ijengsci.2011.05.012
  11. Kumaravel, A., Ganesan, N. and Sethuraman, R. (2007), "Steady-state analysis of a three-layered electromagneto-elastic strip in a thermal environment", Smart Mater. Struct., 16, 282-295. https://doi.org/10.1088/0964-1726/16/2/006
  12. Ootao, Y. and Ishihara, M. (2011), "Exact solution of transient thermal stress problem of the multilayered magneto-electro-thermoelastic hallow cylinder", J. Solid Mech. Mater. Eng., 5(2), 90-103. https://doi.org/10.1299/jmmp.5.90
  13. Ootao, Y. and Tanigawa, Y. (2005), "Transient analysis of multilayered and magneto-electro thermoelastic strip due to nonuniform heat supply", Compos. Struct., 68(4), 471-9. https://doi.org/10.1016/j.compstruct.2004.04.013
  14. Pan, E. (2001), "Exact solution for simply supported and multilayered magneto-electro-elastic plates", J. Appl. Mech. - T ASME, 68, 608-618. https://doi.org/10.1115/1.1380385
  15. Pan, E. and Wang, R. (2009), "Effects of geometric size and mechanical boundary conditions on magnetoelectric coupling in multiferroic composites", J. Phys. D. Appl. Phys., 42, 245503. https://doi.org/10.1088/0022-3727/42/24/245503
  16. Sunar, M., Al-Garni, A.Z., Ali, M.H. and Kahraman, R. (2002), "Finite element modeling of thermopiezomagnetic smart structures", AIAA J., 40, 1846-51. https://doi.org/10.2514/2.1862

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