Abstract
Based on the Truesdell theorem on quasi-equilibrated motions and an electroelastostatics theory of elastic dielectrics due to Toupin and Eringen, the problem of large amplitude radial oscillations of hollow spherical dielectrics is analysed, assuming a semi-general strain energy density function for the hyperelastic, incompressible dielectric material under consideration. Criteria of existence of oscillatory motions are established. The expressions for the periods of free oscillations initiated under large initial deformation as well as forced oscillations due to a sudden Heaviside impact are given in integral form.
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