Analysis of buckling of circular plate with delamination by using third order shear deformation theory

Delamination is one of the common flaws in the composite plates, which may be created during manufacturing, boring or loading in the composite plate. This flaw has an impact on the flexibility, strength and performance of composite plates and structures and reduces them, which may even result in a layer fracture or complete fracture in the composite plate. In this study, a circular composite plate with the circular delamination under buckling load is considered. Given that the delamination grows and the delamination boundary is movable, the equilibrium equations governing the circular plate with circular delamination is produced by using Calculus of Variations method with moving boundary. The theory used in this paper for finding equilibrium equations governing the mentioned plate is the third order shear deformation theory. Ultimately, for isotropic and orthotropic materials, the critical buckling load is determined by using spectral homotopy analysis method and the results of the present paper is compared with the results of other studies. The results produced shows a good conformity with the other reference results.