Electroelastic field in a piezoelectric solid cylinder with D∞ symmetry subjected to transverse mechanical load

Abstract

For the safe operation of devices comprised of bodies with D∞ symmetry, the electroelastic field in a solid cylinder subjected to a non-axisymmetric surface load of radial and circumferential stresses was investigated. The analytical technique constructed previously, the Fourier integral technique with respect to the axial coordinate, and the Fourier series technique with respect to the circumferential coordinate were employed. Then the three-dimensional distributions of the electroelastic field quantities, such as displacement, electric potential, electric field, strain, stress, and electric displacement, were determined. In addition, the resultant forces and moments on the axial section were formulated. Using numerical calculations assuming health monitoring or NDE techniques, it was found that the structures of the electroelastic field were dependent on the composition of the combined load even when the integrated effect of the combined load was constant and that the detailed three-dimensional analyses were absolutely significant. Then, the primary coupling behavior in the D∞ bodies was investigated for health monitoring, and it was found that the stress-strain relationship was substantially elastic but the developed electric displacement was affected by both of the piezoelectric and dielectric effects comparably and that the coupled analyses were also significant. Moreover, an elementary methodology to decompose the combined load into components was suggested and was successfully implemented for a concrete example.

Keywords

• electroelasticity
• d∞ symmetry
• solid cylinder
• non-axisymmetry
• wood
• poly-l-lactic acid