Exact solutions of a piezoelectric circular tube or bar under extension, torsion, pressuring, shearing, uniform electric loading and temperature change

An exact electroelastic analysis of generalized plane strain and torsion of a piezoelectric circular tube or bar is presented. The problem is formulated in the state–space framework and exact solutions are derived for the tube or bar subjected to extension, torsion, pressuring, shearing, uniform electric loading and temperature change. Electromechanical coupling is shown to have significant effects on the internal field. Axial extension, radial and circumferential deformations, twisting and warping of the cross–section occur concurrently even when the tube or bar is subjected to simple loading conditions.

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