Finite element modeling of a layered, multiphase magnetoelectroelastic cylinder subjected to an axisymmetric temperature distribution

This paper presents finite element formulation for dynamic behavior of magnetoelectroelastic axisymmetric cylinder coupled with a thermal field. The finite element formulation derived based on the interaction between mechanical, electrical, magnetic and thermal fields. The formulation is reduced to static case to analyze the static behavior of layered and multiphase magnetoelectroelastic axisymmetric cylinder under the circumstances of axisymmetric temperature distribution. The finite element model is developed using a four-noded axisymmetric element with four nodal degrees of freedom that is, two elastic displacements (ur, uz) with two potentials, electric (φ) and magnetic (ψ). The static behavior of axial and radial displacements, electric potential, magnetic potential and stresses on radially symmetric magnetoelectroelastic cylinder is investigated. The numerical results are compared between layered and multiphase magnetoelectroelastic cylinder with different boundary conditions.