Electromagnetoelastic behaviors of functionally graded piezoelectric

Analytical studies on electromagnetoelastic behaviors arepresented for the functionally graded piezoelectric material (FGPM) solidcylinder and sphere placed in a uniform magnetic field and subjected to theexternal pressure and electric loading. When the mechanical, electric andmagnetic properties of the material obey an identical power law in theradial direction, the exact displacements, stresses, electric potentials andperturbations of magnetic field vector in the FGPM solid cylinder and sphereare obtained by using the infinitesimal theory of electromagnetoelasticity.Numerical examples also show the significant influence of materialinhomogeneity. It is interesting to note that selecting a specific value ofinhomogeneity parameter can optimize the electromagnetoelasticresponses, which will be of particular importance in modern engineeringdesigns.