Two-dimensional bending behavior of the three-layered shear deformable nanoshells: Electro-elastic size-dependent

Abstract

First-order shear deformation theory and nonlocal piezoelasticity relations are employed in this work for size-dependent electro-elastic bending analysis of three-layered piezoelectric nanoshells. The three-layered nanoshell includes a nano core and two piezo-magnetic face-sheets as sensor and actuator. A two-dimensional formulation along the axial and radial directions is presented based on first-order shear deformation theory to account shear strains and stresses especially at boundaries. Principle of virtual work is used to derive the governing equations of electro-elastic bending for a size-dependent piezoelectric nanoshell. The numerical results are presented based on analytical approach to investigate the influence of significant parameters such as nonlocal parameter, two parameters of Pasternak’s foundation and initial electric potential on the electro-elastic bending results.