Higher-order electroelastic modelling of piezoelectric cylindrical nanoshell on elastic matrix

Abstract

This paper develops electro-elastic relations of functionally graded cylindrical nanoshell integrated with intelligent layers subjected to multi-physics loads resting on elastic foundation. The piezoelectric layers are actuated with external applied voltage. The nanocore is assumed in-homogeneous in which the material properties are changed continuously and gradually along radial direction. Third-order shear deformation theory is used for the description of kinematic relations and electric potential distribution is assumed as combination of a linear function along thickness direction to show applied voltage and a longitudinal distribution. Electro-elastic size-dependent constitutive relations are developed based on nonlocal elasticity theory and generalized Hooke’s law. The principle of virtual work is used to derive governing equations in terms of four functions along the axial and the radial directions and longitudinal electric potential function. The numerical results including radial and longitudinal displacements are presented in terms of basic input parameters of the integrated cylindrical nanoshell such as initial electric potential, small scale parameter, length to radius ratio and two parameters of foundation. It is concluded that both displacements are increased with an increase in small-scale parameter and a decrease in applied electric potential.