Effect of characteristics and distribution of porosity on electro-elastic analysis of laminated vessels with piezoelectric face-sheets based on higher-order modeling

Abstract

Electro-elastic analysis of a cylindrical sandwich pressure vessel including a porous core and two integrated piezoelectric face-sheets are analytically studied in this work. Third-order shear deformation theory is employed for description of displacement field along the thickness direction. The piezoelectric layers are subjected to applied electric potentials. The principle of virtual work is used to derive the governing equation of electro-elastic bending. The governing equation are solved for clamped-clamped boundary condition with short circuit electrical condition. The numerical results including deformation, stress analysis, and electric potential distribution are plotted in terms of porosity coefficient, various types of porosity, applied electric potential, and parameters of Pasternak's foundation. One can see that maximum displacement and stress components are obtained for asymmetry pattern while the minimum displacement and stress components are obtained for symmetry pattern. The numerical results indicate that with increase of porosity coefficient, the radial and axial displacements are increased while all stress components are decreased. Investigation on the effect of applied electric potential indicate that although increase of applied electric potential leads to significant increase of radial displacement and maximum electric potential, it does not change the radial displacement and all stress components.