19-09-2017, 10:18 AM
A superior shear and normal strain theory (HOSNT12) is used to analyze said hybrid or electrospray-loaded FG hybrid or smart plate. The displacement function of the present model is approximated as the Taylor series in the coordinate of the thickness, while the electrostatic potential approaches as a linear layer through the thickness of the PFRC layer. The equilibrium equations are obtained using the principle of minimum potential energy and the solution is by the Navier technique. The elastic constants vary exponentially along the thickness (z-axis) for the FG material, while the Poisson ratio remains constant. PFRC connected at the top or bottom of the FG plate and analyzed under mechanical and mechanical load and coupled.
The mathematical model developed here is a single-layer equivalent theory for the field of mechanical displacement and potential functions. The displacements in the plane are assumed to vary as cubic functions of the coordinate of the thickness while the transverse displacement is assumed to vary as a quadratic function of the coordinate of the thickness across the thickness of the plate. The potential function is assumed to be the combination of the half-cosine variation of the electric potential and the linear variation of the applied voltage on the external surfaces. The approach described here is that standard plate models can be improved to include coupling between load equations and mechanical deformations, as well as the size dependent effect of micro and nanoscale structures. An analytical solution of the model developed using the Navier solution technique is presented. A parametric study was carried out to study the effect of material variation across the thickness of the plates, the length scale parameters to capture the effects depending on the size and the thickness ratio between the piezoelectric layers and the entire plate.
The mathematical model developed here is a single-layer equivalent theory for the field of mechanical displacement and potential functions. The displacements in the plane are assumed to vary as cubic functions of the coordinate of the thickness while the transverse displacement is assumed to vary as a quadratic function of the coordinate of the thickness across the thickness of the plate. The potential function is assumed to be the combination of the half-cosine variation of the electric potential and the linear variation of the applied voltage on the external surfaces. The approach described here is that standard plate models can be improved to include coupling between load equations and mechanical deformations, as well as the size dependent effect of micro and nanoscale structures. An analytical solution of the model developed using the Navier solution technique is presented. A parametric study was carried out to study the effect of material variation across the thickness of the plates, the length scale parameters to capture the effects depending on the size and the thickness ratio between the piezoelectric layers and the entire plate.