Abstract
A general non-axisymmetric exact analysis of the statics of a laminated piezoelectric hollow sphere is presented in the paper by using a state space method. To select a proper set of state variables, three displacement functions and two stress functions are introduced. It is found that the basic equations of a spherically isotropic piezoelectric medium are eventually turned to two separated state equations with constant coefficients, the solutions of which are then obtained by virtue of matrix theory. The continuity conditions at each interface are then used to derive two relationships between respective boundary variables at the inner and outer spherical surfaces. No matter how many layers the sphere contains, the orders of the final solving equations remain unaltered.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call