Dynamic relaxation analysis of composite sandwich annular sector plate with viscoelastic core

The three-layer annular composite sandwich sector plate is investigated numerically using the dynamic relaxation method. The upper and lower faces consist of un-symmetrical rectangular orthotropic laminates, and the core is based on viscoelastic material. The non-linear governing equations are considered using the first-order shear deformation theory and large deflection type of deformation. The constitutive relations of sandwich are presented for laminated faces, and the linear viscoelastic core is considered for the Boltzmann superposition principle. The dynamic relaxation iterative procedure in conjunction with finite-difference discretization is performed for the solution of the governing equations. Under uniform lateral pressure as well as clamped and simply supported edged constraints, the plate deformation is predicted for different times. In order to verify the dynamic relaxation algorithm, the elastic sector plate is compared with finite element solutions, and it is established that the correlations are very satisfactory. The dimensionless deflections, stress resultants, and stress couples of sandwich plates with viscoelastic core are illustrated to show the creep behavior of the plate with an increase in time.