Coupled systems mechanics

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Multiphysics response of magneto-electro-elastic beams in thermo-mechanical environment

  • Vinyas, M. (Department of Mechanical Engineering, National Institute of Technology Karnataka) ;
  • Kattimani, S.C. (Department of Mechanical Engineering, National Institute of Technology Karnataka)
  • Received : 2016.12.04
  • Accepted : 2017.05.13
  • Published : 2017.09.25
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Abstract

In this article, the multiphysics response of magneto-electro-elastic (MEE) cantilever beam subjected to thermo-mechanical loading is analysed. The equilibrium equations of the system are obtained with the aid of the principle of total potential energy. The constitutive equations of a MEE material accounting the thermal fields are used for analysis. The corresponding finite element (FE) formulation is derived and model of the beam is generated using an eight noded 3D brick element. The 3D FE formulation developed enables the representation of governing equations in all three axes, achieving accurate results. Also, geometric, constitutive and loading assumptions required to dimensionality reduction can be avoided. Numerical evaluation is performed on the basis of the derived formulation and the influence of various mechanical loading profiles and volume fractions on the direct quantities and stresses is evaluated. In addition, an attempt has been made to compare the individual effect of thermal and mechanical loading with the combined effect. It is believed that the numerical results obtained helps in accurate design and development of sensors and actuators.

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References

  1. Annigeri, A.R., Ganesan, N. and Swarnamani, S. (2007), "Free vibration behavior of multiphase and layered magneto-electro-elastic beam", J. Sound Vibr., 299(1-2), 44-63. https://doi.org/10.1016/j.jsv.2006.06.044
  2. Ansari, R., Gholami, R. and Rouhi, H. (2015), "Size-dependent nonlinear forced vibration analysis of magneto-electro-thermo-elastic Timoshenko nanobeams based upon the nonlocal elasticity theory", Compos. Struct., 126, 216-226. https://doi.org/10.1016/j.compstruct.2015.02.068
  3. Biju, B., Ganesan, N. and Shankar, K. (2012), "Effect of displacement current in magneto-electro-elastic plates subjected to dynamic loading", J. Mech. Mater. Des., 8, 349-358. https://doi.org/10.1007/s10999-012-9200-z
  4. Biju, B., Ganesan, N. and Shankar, K. (2012), "Transient dynamic behaviour of two phase magneto-electroelastic sensors bonded to elastic rectangular plates", J. Smart Sens. Intell. Syst., 5(3).
  5. Farzad, E. and Mohammad, R.B. (2016), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys.-A, 122, 451. https://doi.org/10.1007/s00339-016-0001-3
  6. Jandaghian, A.A. and Rahmani, O. (2016), "Free vibration analysis of magneto-electro thermo-elastic nanobeams resting on a Pasternak foundation", Smart Mater. Struct., 25, 035023. https://doi.org/10.1088/0964-1726/25/3/035023
  7. Kattimani, S.C. and Ray, M.C. (2014), "Active control of large amplitude vibrations of smart magnetoelectro-elastic doubly curved shells", J. Mech. Mater. Des., 10(4), 351-378. https://doi.org/10.1007/s10999-014-9252-3
  8. Kattimani, S.C. and Ray, M.C. (2014), "Smart damping of geometrically nonlinear vibrations of magnetoelectro-elastic plates", Compos. Struct., 14, 51-63.
  9. Kattimani, S.C. and Ray, M.C. (2015), "Control of geometrically nonlinear vibrations of functionally graded magneto-electro-elastic plates", J. Mech. Sci., 99, 154-167. https://doi.org/10.1016/j.ijmecsci.2015.05.012
  10. Kim, J.Y., Li, Z. and Baltazar, A. (2012), "Pyroelectric and pyromagnetic coefficients of functionally graded multilayered multiferroic composites", Acta Mech., 223, 849-860. https://doi.org/10.1007/s00707-011-0611-y
  11. Kondaiah, P., Shankar, K. and Ganesan, N. (2012), "Studies on magneto-electro-elastic cantilever beam under thermal environment", Coupled Syst. Mech., 1(2), 205-217. https://doi.org/10.12989/csm.2012.1.2.205
  12. Kondaiah, P., Shankar, K. and Ganesan, N. (2013), "Pyroelectric and pyromagnetic effects on behavior of magneto-electro-elastic plate", Coupled Syst. Mech., 2, 1-22. https://doi.org/10.12989/csm.2013.2.1.001
  13. 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(2), 282-295. https://doi.org/10.1088/0964-1726/16/2/006
  14. Milazzo, A (2013), "A one-dimensional model for dynamic analysis of generally layered magneto-electroelastic beams", J. Sound Vibr., 332(2), 465-483. https://doi.org/10.1016/j.jsv.2012.09.004
  15. Pan, E. and Han, F. (2005), "Exact solution for functionally graded and layered magneto-electro-elastic plates", J. Eng. Sci., 43(3-4), 321-339. https://doi.org/10.1016/j.ijengsci.2004.09.006
  16. Rajesh, K., Bhangale, G.N. (2006), "Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method", J. Sound Vibr., 294, 1016-1038. https://doi.org/10.1016/j.jsv.2005.12.030
  17. Sunar, M., Ahmed, Z., Al-Garni, A.M.H. and Kahraman, R. (2002), "Finite element modeling of thermopiezomagnetic smart structures", AIAA J., 40(9), 1846-1851. https://doi.org/10.2514/2.1862
  18. Thar, M.B. and Hussain, H.A.K. (2013), "Analytical solution for simply supported and multilayered magneto-electro-elastic plates", Asian J. Sci. Res., 6, 236-244. https://doi.org/10.3923/ajsr.2013.236.244
  19. Vaezi, M., Shirbani, M.M. and Hajnayeb, A. (2016), "Free vibration analysis of magneto-electro-elastic microbeams subjected to magneto-electric loads", Phys. E: Low-Dimens. Syst. Nanostruct., 75, 280-286. https://doi.org/10.1016/j.physe.2015.09.019
  20. Vinyas, M. and Kattimani, S.C. (2017a), "Static studies of stepped functionally graded magneto-electroelastic beam subjected to different thermal loads", Compos. Struct., 163, 216-237. https://doi.org/10.1016/j.compstruct.2016.12.040
  21. Vinyas, M. and Kattimani, S.C. (2017b), "Static analysis of stepped functionally graded magneto-electroelastic plates in thermal environment: A finite element study", Compos. Struct.
  22. Vinyas, M. and Kattimani, S.C. (2017c), "A Finite element based assessment of static behavior of multiphase magneto-electro-elastic beams under different thermal loading", Struct. Eng. Mech., 62(5), 519-535. https://doi.org/10.12989/sem.2017.62.5.519
  23. Yoshihiro, O. and Yoshinobu, T. (2005), "Transient analysis of multilayered magneto-electro-thermoelastic strip due to nonuniform heat supply", Compos. Struct., 68, 471-480. https://doi.org/10.1016/j.compstruct.2004.04.013

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