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Case study of the Bövik–Benveniste methodology for imperfect interface modeling of two-dimensional elasticity problems with thin layers

Svetlana Baranova and Sofia G. Mogilevskaya

Vol. 17 (2022), No. 3, 247–279
Abstract

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
Milestones
Received: 13 December 2021
Revised: 15 February 2022
Accepted: 19 February 2022
Published: 22 January 2023
Authors
Svetlana Baranova
Department of Civil, Environmental, and Geo-Engineering
University of Minnesota
Minneapolis
United States
Sofia G. Mogilevskaya
Department of Civil, Environmental, and Geo-Engineering
University of Minnesota
Minneapolis
United States