Case study of the b?vik-benveniste methodology for imperfect interface modeling of two-dimensional elasticity problems with thin layers

In this paper, a two-dimensional case study of the Bovik-Benveniste methodology for imperfect interface modeling of thin elastic layers is performed. The case study problem involves an infinite domain containing a coated circular-shaped fiber subjected to uniform loading at infinity. All phases of that composite system are assumed to be isotropic and linearly elastic. Using this case, the main assumptions of the methodology are analyzed, and a novel, complex variable-based approach for its implementation is developed. The proposed approach is used for derivations of the first, second, and third order imperfect interface models for the case study problem. The models are tested for problems involving a wide range of governing parameters. It is demonstrated that the Bovik-Benveniste methodology allows for the construction of elastic interface models that behave satisfactorily at all ranges of layer stiffness.