Visco-piezoelasticity-zigzag theories for blast response of porous beams covered by graphene platelet-reinforced piezoelectric layers

Abstract

Blast response of the embedded porous beams covered by nanocomposite piezoelectric layers is presented in this article. The facesheets are reinforced by non-uniform graphene platelet where the effective material properties are determined using modified Halpin–Tsai micromechanics model. The piezoelectric layers play the role of sensor and actuator of the core, however, a proportional–differential controller is used for controlling the dynamic deflection of the structure. The sandwich structure is rested on Kerr viscoelastic foundation with two springs, two damper, and one shear elements. Considering structural damping using Kelvin–Voigt model, using piezoelasticity theory, and applying zigzag shear deformation beam theory, the motion equations are derived. Differential quadrature method along with Newmark method is used for calculating the dynamic displacement of the sandwich structure. The effects of different parameters such as graphene platelets volume percentage and distribution type, porosity of the core, geometrical parameters of structure, applied voltage, structural damping, and boundary conditions are shown on the dynamic response of the sandwich structure. The results indicated that reinforcing the facesheets by graphene platelets reduces the dynamic deflection up to 59%.