Stress analysis of aluminium plates one-sided adhesively bonded reinforced with square composite patches using state space method

Based on state space method, a 2-D model is established for metallic plates with composite patches as reinforcement, the governing equations for the model are derived, and the stress and strain distributions are analyzed. By means of MATLAB, the structure deflection, the adhesive peel stress, and the shear stress under tensile load are figured out. In order to validate the analytical model, the finite element analysis (FEA) is also applied and a FEA model is developed by ABAQUS. Both models give pretty identical results. In the end, using the analytical model, the interlaminar stress and in-plane stress distributions through the thickness of the patch are calculated, which are known to be key contributions to composite failure, and the damage mode is briefly analyzed as well.