Nonlinear couple stress theory of elastic dielectrics with applications to dynamic deformations

A general nonlinear couple stress theory of elastic dielectrics in the presence of an electric field is formulated and applied to the problem of nonlinear oscillations of the surface of a spherical cavity in an infinite medium. It is observed that the uniform pressure increases while the azimuthal stress decreases considerably from their corresponding values in the elastic dielectric theory without couples stresses.