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 formu- lation 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 pre- sented based on analytical approach to investigate the influence of significant parame- ters such as nonlocal parameter, two parameters of Pasternak’s foundation and initial electric potential on the electro-elastic bending results.