Analysis of a doubly curved piezoelectric nano shell: Nonlocal electro-elastic bending solution

Nonlocal electro-elastic bending analysis of a doubly curved nano shell is studied in this paper based on nonlocal elasticity theory and first order shear deformation theory. Nonlocal piezo-elasticity relations are used for analysis of the problem. The doubly curved piezoelectric nano shell is subjected to transverse loads and applied voltage. In addition, the structure is resting on Winkler-Pasternak foundation. The governing equations of nonlocal electro-elastic bending are derived based on principle of virtual work. The nonlocal electro-elastic bending results of doubly curved nano shell are investigated using Navier's method. Influence of nonlocal parameter, applied electric potential, Winkler and Pasternak's parameters of foundation is studied on the mechanical and electrical components of the piezoelectric doubly curved nano shell.