Magnetic scalar and vector potential approaches in finite element formulation for dynamic response studies of magneto-electro-elastic solids is presented in this paper. The electric field induced by time varying magnetic field is non-conservative and can be described by electric scalar potential and magnetic vector potential. The magnitude of magnetic vector potential is dominant in transverse direction than in longitudinal directions except for FCFC boundary condition. Magnetic scalar potential approach evaluates the components of magnetic flux density on higher side where as electric field intensity is seldom influenced using both the approaches except for FCFC boundary condition. © Taylor &amp; Francis Group, LLC.

Shankar Krishnapillai

Department of Mechanical Engineering

B. Biju

Natrajan Ganesan

Electric field intensities

ELECTRIC SCALAR POTENTIAL

Finite element

Finite element formulations

HARMONIC RESPONSE

Longitudinal direction

MAGNETIC VECTOR POTENTIALS

MAGNETO-ELECTRO-ELASTIC

MAGNETO-ELECTRO-ELASTIC PLATES

SCALAR AND VECTOR POTENTIALS

Scalar potential

TIME-VARYING MAGNETIC FIELDS

Transverse directions

Boundary conditions

Dynamic response

Electric fields

Magnetic fields

Magnetic flux

Magnetos

Vectors

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Magnetic Scalar and Vector Potential Approaches in Dynamic Response Studies of Magneto-Electro-Elastic Plates

Ferroelectrics

In this paper, the sensory behaviour of magneto-electro-elastic (MEE) materials is presented under transient mechanical loading using a finite element method. The sensor is bonded on the top surface of a mild steel beam. Numerical results are presented for different sensor locations along the length of a beam, subjected to clamped-free and simply supported boundary conditions. A transient sensory response of PZT-5 and (Terfenol-D)-epoxy mixed components (MSCP) is also studied. Ansys 8.1 is used to validate the sensory response (i.e. displacement and electric potential) of PZT-5 with the computer code. © 2008 Elsevier B.V. All rights reserved.

Sensors and Actuators, A: Physical

Behaviour of magneto-electro-elastic sensors under transient mechanical loading

The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied. A series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure. The constitutive equations of the magneto-electro-elastic medium involving mechanical, electrical and magnetic fields are used to derive the finite element model for the system. The influence of the piezomagnetic effect on the structural frequencies of the cylindrical shell is studied. A comparison is made between a shell with a layered configuration and one with a multiphase system. The study is carried out for a typical shell with simply supported boundary conditions for different ratios of length to radius and radius to thickness to analyse the frequency behaviour. © 2006 IOP Publishing Ltd.

Smart Materials and Structures

Free vibrations of simply supported layered and multiphase magneto-electro-elastic cylindrical shells

IEEE Transactions on Magnetics

Reduced Magnetic Vector Potential Formulation in the Finite Element Analysis of Eddy Current Nondestructive Testing

Journal of Sound and Vibration

Exact 3D piezoelasticity solution of hybrid cross–ply plates with damping under harmonic electro-mechanical loads

Journal of the Brazilian Society of Mechanical Sciences and Engineering

Finite element modeling of a plate with localized piezoelectric sensors and actuators

Magnetic scalar and vector potential approaches in dynamic response studies of magneto-electro-elastic plates

Journal	Ferroelectrics
ISSN	00150193
Open Access	No