Method of state decomposition and slice composition on asymmetrical rectangular delamination in composite laminate

Using the principle of superposition, a laminate with a asymmetric delamination under transverse loading is divided into symmetric and asymmetric states, then the delamination problem comes down to analyze additional displacements and stresses under additional loading. According to this, a simple mechanical model can be established which only includes the delamination area. The infinitesimal slices can be cut which parallel to the boundary in the delamination area, the slices can be reduced to laminated beams with a delamination, and their displacements can be expressed by the analytical solutions of additional displacements of the beam. Based on the displacements of slices, one can get the additional displacement modes of the delamination area, which satisfy the boundary conditions. A closed form solution of additional displacement is obtained by the principle of minimum potential energy, the stress field and the energy release rate are analyzed.