Size-dependent electro-elastic analysis of a three-layered piezoelectric doubly curved nano shell

Abstract

The governing equations of electro-elastic bending problem are derived for size-dependent electro-elastic analysis of three-layered piezoelectric doubly curved nano shells. The three-layered nano shell is composed of an elastic homogeneous core and two piezoelectric nano layers at top and bottom. The doubly curved piezoelectric nano shell is subjected to applied electric potential and transverse loads. A comparative study is presented for validation of formulation and solution. The influence of nonlocal parameter, applied electric potential, and geometric parameters such as radii of curvature and ratio of thickness is studied on the electro-elastic results of the simply-supported doubly curved nano shell.

Keywords:

• Three-layered nano shells
• doubly curved piezoelectric
• nonlocal parameter
• first-order shear deformation theory
• applied electric potential

Acknowledgments

The author would also like to thank the Iranian Nanotechnology Development Committee for their financial support.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research described in this paper was financially supported by the University of Kashan (Grant Number: 467893/0655).