In this paper, a two-dimensional case study of the Bövik–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 Bövik–Benveniste methodology allows for the
construction of elastic interface models that behave satisfactorily at all ranges of
layer stiffness.
Keywords
imperfect interface modeling, Bövik–Benveniste methodology,
high order models, complex variable-based approach
