Abstract
Axisymmetric problems for an electrostrictive hollow cylinder under electric loading are studied based on the potential function method. First, in the Cartesian coordinate system, the general solutions for the displacement are presented. Then, explicit results of displacement and stress are derived. For two special cases of in-plane and off-plane electric loading, the stresses around the inner and outer boundaries of the cylinder are given in an analytic form and the effects of Maxwell stress are discussed. Numerical results are also presented and graphically shown. It is found that for a thick-walled hollow cylinder, the electrostrictive stress in the internal boundary of the cylinder would be significantly large in magnitude when in-plane electrical loading is applied.
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