Dynamic responses of a multilayer spherically isotropic pyroelectric hollow sphere
层合球面各向同性热释电空心球的瞬态响应

The dynamic solution of a multilayer spherically isotropic pyroelectric hollow sphere for spherically symmetric problem is obtained. By the principle of superposition, the solution is divided into two parts: One is quasi-static and the other is dynamic. The quasi-static part is obtained in an explicit form by the state space method, and the dynamic part is derived by the initial parameter method coupled with the separation of variables method as well as the orthogonal expansion technique. By using the obtained quasi-static and dynamic parts and utilizing the electric boundary conditions as well as the electric continuity conditions, a Volterra integral equation of the second kind with respect to a function of time is derived, which can be solved successfully by means of the interpolation method. The displacements, electric potentials and stresses can be finally determined. The present method is suitable for a multilayer spherically isotropic pyroelectric hollow sphere consisting of arbitrary layers and subjected to arbitrary spherically symmetric thermal loads. Numerical results are presented and discussed at the end.