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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 247-279 |
| Number of pages | 33 |
| Journal | Journal of Mechanics of Materials and Structures |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Funding Information:This work was supported by the National Science Foundation (grant NSF CMMI-2112894 and in part by grant NSF PHY-1748958). Baranova gratefully acknowledges the Hsiao Shaw–Lundquist Fellowship granted by the University of Minnesota China Center.
Publisher Copyright:
© 2022 Mathematical Sciences Publishers
Keywords
- Bövik–Benveniste methodology
- complex variable-based approach
- high order models
- imperfect interface modeling