Geometrically Non-linear Analysis of Unsymmetrical Fiber-Reinforced Laminated Annular Sector Composite Plates

Abstract

The geometrically non-linear behavior of unsymmetrical, ber-reinforced, laminated, annular sector composite plates is studied. The rst order shear deformation theory is applied to the von Karman type non-linear behavior of unsymmetrically, laminated, annular sector composite plates. Five equilibrium equations, ve stress-displacement relations, three curvature-displacement relationships, together with eight stress resultants, stress couples and shear force relationships are solved. The nonlinear nature of the problem prohibits the application of a closed form solution method. Consequently, the Dynamic Relaxation (DR) numerical method is chosen for solving the system of 21 simultaneous equations. The in-plane and out-of-plane displacements are reported for di erent con gurations of annular sector plates. Di erent sector angles, ber orientations and plate thicknesses are considered. For better observation of the numerical methods, they are illustrated graphically. The correlations of the present results and the corresponding nite element generated results are very satisfactory.