Browse > Article
http://dx.doi.org/10.12989/csm.2017.6.3.351

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)
Publication Information
Coupled systems mechanics / v.6, no.3, 2017 , pp. 351-367 More about this Journal
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.
Keywords
finite element; magneto-electro-elastic beam; thermo-mechanical load; direct quantities; volume fraction;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 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.   DOI
2 Milazzo, A (2013), "A one-dimensional model for dynamic analysis of generally layered magneto-electroelastic beams", J. Sound Vibr., 332(2), 465-483.   DOI
3 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.   DOI
4 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.   DOI
5 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.   DOI
6 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.   DOI
7 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.   DOI
8 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.   DOI
9 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.
10 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.   DOI
11 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.   DOI
12 Yoshihiro, O. and Yoshinobu, T. (2005), "Transient analysis of multilayered magneto-electro-thermoelastic strip due to nonuniform heat supply", Compos. Struct., 68, 471-480.   DOI
13 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.   DOI
14 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.   DOI
15 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.   DOI
16 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).
17 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.   DOI
18 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.   DOI
19 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.   DOI
20 Kattimani, S.C. and Ray, M.C. (2014), "Smart damping of geometrically nonlinear vibrations of magnetoelectro-elastic plates", Compos. Struct., 14, 51-63.
21 Kim, J.Y., Li, Z. and Baltazar, A. (2012), "Pyroelectric and pyromagnetic coefficients of functionally graded multilayered multiferroic composites", Acta Mech., 223, 849-860.   DOI
22 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.   DOI
23 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.   DOI