This work is based on the development of numerical tools for the computational analysis of engineering structures that involve adhesion problems, that is interface and interphase problems. The proposed numerical tools are implemented within the framework of non-linear Finite Element Methods (FEM) and are developed so as to be utilized by design engineers and researchers for the design and analysis of adhesively bonded joints and composite structures. Initially, a Progressive Failure Model (PFM) is developed and applied to predict the behaviour of an experimentally tested blade-stiffened panel found in the literature. The developed PFM has been implemented in non-linear finite element analysis procedures under the framework of the commercial software Ansys. Failure initiation and failure propagation as well as the post buckling ultimate attained load have been numerically evaluated. Final failure behaviour of the simulated stiffened pan ...