The transient response of hollow electrostrictive cylinder subjected to the electrical shock

The analytical and numerical analysis on the transient displacement and stress fields subjected to the electric load $$E_{z}$$ and $$E_{r}$$ in the electrostrictive hollow cylinder are studied in this paper. The electric and stress fields are uncoupled to derive the analytical solutions first. Then, the discussed displacement is decomposed into a quasi-static solution which satisfies inhomogeneous boundary conditions and a dynamic solution which satisfies homogeneous and initial conditions. After the quasi-static solution has been solved, the dynamic solution can be derived by using the methods of Hankel and Laplace transforms. Finally, the numerical examples are given to study the mechanism of dynamic stresses in case of different electric loads and structure sizes. It is concluded that the method and the process of the computing are simple, effective and accurate for the discussed problem and can easily be used in engineering design.