A general solution technique for electroelastic fields in piezoelectric bodies with D-infinity symmetry in cylindrical coordinates

作者：Ishihara Masayuki^*; Ootao Yoshihiro; Kameo Yoshitaka

来源：Journal of Wood Science, 2016, 62(1): 29-41.

DOI：10.1007/s10086-015-1524-5

• Piezoelectric body
• D-infinity symmetry
• Electroelasticity
• General solution technique
• Cylindrical scheme

To elucidate the electroelastic field in bodies with D (a) symmetry such as wooden materials, we constructed a general solution technique for electroelastic problems in such bodies in a cylindrical coordinate system. We introduced the displacement and electric potential functions to express the displacement and electric field in cylindrical coordinates; their governing equations were obtained using the fundamental equations for the electroelastic field. The electroelastic field quantities could be expressed in terms of two elastic displacement potential functions and two piezoelastic displacement potential functions, each of which satisfies a Laplace equation with respect to the appropriately transformed cylindrical coordinates. As an application of the technique, we analyzed the problem of an infinitely long cylinder subjected to a non-axisymmetrically distributed electric surface potential. Using numerical calculations, we elucidated the electroelastic field quantities within the cylinder and found unique electroelastic coupling behaviors, which clearly demonstrate the necessity for the analytical technique presented. Moreover, we confirmed the possibility of the nondestructive evaluation (NDE) techniques by use of the piezoelectric effects.

• 出版日期2016-2