Vibration Analysis of Functionally Graded and Magneto-Electro-Elastic Materials in Spherical Symmetry
Considering that the functionally graded and magneto-electro-elastic materials are in the spherical coordinate system and not accounting the body weight, body electric charge and body electric current. By the motion equation, gradient equation the functionally graded and magneto-electro-elastic materials constructive equation, the steady-state solutions of variables such as stress, strain, displacement, electric displacement, electric field intensity, electric potential, magnetic intensity, magnetic potential under additional stimulations are deduced. There can provide good theoretical basement for the dynamic control of the functionally graded and magneto-electro-elastic materials in the space spherical symmetry.
Paul P. Lin and Chunliang Zhang
G. Qun "Vibration Analysis of Functionally Graded and Magneto-Electro-Elastic Materials in Spherical Symmetry", Applied Mechanics and Materials, Vols. 105-107, pp. 316-320, 2012