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Bending of a generalized circular sandwich plate under a concentrated force with consideration of an improved shear deformation theory

Magnucki K., Magnucka-Blandzi E., Wittenbeck L.

Archives of Mechanics

2022

Vol. 74, nr 4

267--282

The paper is devoted to an axisymmetric bending problem of a generalized circular sandwich plate with continuous variation of mechanical properties in the thickness direction of the core. The plate is clamped and carries a concentrated force in its center. The improved shear deformation theory of the normal straight line to the neutral surface is elaborated. The deformation of this normal straight line is graphically presented for the exemplary sandwich structures of the plate. Two differential equation of equilibrium of the plate are obtained based on the principle of stationary potential energy. This system of equations is analytically solved and the maximum deflection of the example plates are derived. Moreover, the deformation of the normal strain line and the maximum deflection of the plate are calculated numerically (FEM). Results of these calculations are compared.

Piezoelectric bending of GPL-reinforced annular and circular sandwich nanoplates with FG porous core integrated with sensor and actuator using DQM

Sobhy Mohammed

Archives of Civil and Mechanical Engineering

2021

Vol. 21, no. 2

621--638

Axisymmetric bending analysis of graphene platelet (GPL) sandwich annular and circular nanoplates with FG porous core and integrated with sensor and actuator resting on an elastic substrate under various boundary conditions is presented in this article. The present nanocomposite model is subjected to mechanical load and an external voltage. The upper and lower sandwich layers are made of aluminum matrix with GPL reinforcement. The effective material properties of the sandwich face layers are estimated in the framework of Halpin–Tsai scheme. In accordance with a refined four-variable theory considering the transverse shear and normal strains, the motion equations are obtained from principle of the virtual work. The size effects are considered by employing the nonlocal strain gradient theory. The differential quadrature method is utilized here to solve the governing equations. First, the obtained results are validated by implementing some comparisons with previous work. Then a comprehensive illustration is executed to show the impacts of boundary conditions, GPLs weight fraction, geometrical dimensions, elastic foundation parameters and applied voltage on the bending of the sandwich nanoplates with FG-porous core and piezoelectric layers.