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The exact elasto-electric field of a rotating piezoceramic spherical shell with a functionally graded property. (English) Zbl 1013.74024

Summary: A displacement separation technique is employed to simplify the basic equations of a piezoceramic body with radial inhomogeneity. It is shown that the controlling equations are reduced to an uncoupled second-order ordinary differential equation and a coupled system of three second-order ordinary differential equations. Solutions to these differential equations are given in the case when material constants are power functions of radial coordinate. A static analysis of a steadily rotating spherical shell is then presented.

MSC:

74F15 Electromagnetic effects in solid mechanics
74K25 Shells
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